[{"id": 14914, "type": 2, "question": "Mrs. Lim formed the figures using identical sticks. How many of such sticks are needed to form the 7th figure?\n", "answers": ["22", null, null, null], "correct_index": null, "solution": "The 1st figure uses 4 sticks; each later figure adds 3 sticks (4, 7, 10, 13, ...). The nth figure needs 3n + 1 sticks. For the 7th figure: 3 x 7 + 1 = 22."}, {"id": 14915, "type": 2, "question": "Arrange the following numbers from the smallest to the greatest.\n7937, 3797, 7397, 3977\n, , , ", "answers": ["3797", "3977", "7397", "7937"], "correct_index": null, "solution": "Compare by place value from the thousands. 3797 and 3977 start with 3; 3797 < 3977. 7397 and 7937 start with 7; 7397 < 7937. Order: 3797, 3977, 7397, 7937."}, {"id": 14916, "type": 1, "question": "Find the missing fraction in the box.\n\\(\\dfrac{1}{12}\\), \\(\\dfrac{1}{4}\\), \\(\\dfrac{5}{12}\\), , \\(\\dfrac{3}{4}\\)", "answers": ["\\(\\dfrac{7}{12}\\)", "\\(\\dfrac{2}{3}\\)", "\\(\\dfrac{6}{12}\\)", "\\(\\dfrac{5}{12}\\)"], "correct_index": 0, "solution": "Express all as twelfths: 1/12, 3/12, 5/12, ?, 9/12. The pattern increases by 2/12 each step, so the missing fraction is 7/12."}, {"id": 14917, "type": 1, "question": "Joey bought a skipping rope and another item. He spent a total of \\(\\$70\\). What was the other item bought?", "answers": ["Basketball", "Badminton Racket", "Soccer Ball", "Skipping Rope"], "correct_index": 2, "solution": "Skipping rope costs \\(\\$15.35\\). Other item = \\(\\$70\\) - \\(\\$15.35\\) = \\(\\$54.65\\), which is the price of the Soccer Ball."}, {"id": 14918, "type": 2, "question": "John bought a badminton racket. He paid with 2 pieces of \\(\\$50\\) notes. How much money did he have left?\n\\(\\$\\)[?]", "answers": ["24.05", null, null, null], "correct_index": null, "solution": "2 x \\(\\$50\\) = \\(\\$100\\). Badminton racket costs \\(\\$75.95\\). Change left = \\(\\$100\\) - \\(\\$75.95\\) = \\(\\$24.05\\)."}, {"id": 14919, "type": 2, "question": "The table shows the total walking distance of Victor and Mary on Monday and Tuesday. What is the total distance travelled by Mary for the two days? Give your answer in metres.\n m", "answers": ["3600", null, null, null], "correct_index": null, "solution": "Mary walked 1 km 250 m = 1250 m on Monday and 2350 m on Tuesday. Total = 1250 + 2350 = 3600 m."}, {"id": 14920, "type": 2, "question": "Victor travelled a total distance of 5 km for the two days. What is the distance he travelled on Tuesday? Give your answer in metres.\n m", "answers": ["2900", null, null, null], "correct_index": null, "solution": "5 km = 5000 m. Victor walked 2 km 100 m = 2100 m on Monday. Tuesday = 5000 - 2100 = 2900 m."}, {"id": 14921, "type": 2, "question": "4979 is tens more than 4779.", "answers": ["20", null, null, null], "correct_index": null, "solution": "4979 - 4779 = 200. 200 = 20 tens, so 4979 is 20 tens more than 4779."}, {"id": 14922, "type": 2, "question": "Form the smallest 4-digit odd number using all the digits 3 , 1 , 0 , 8. [?]", "answers": ["1083", null, null, null], "correct_index": null, "solution": "An odd number must end in an odd digit (1 or 3). To be smallest, the leading digit must be as small as possible but not 0, so use 1 first. Remaining digits 0, 8, 3 arranged smallest with an odd units digit: 0, 8, then 3 (odd) -> 1083."}, {"id": 14923, "type": 2, "question": "What is the missing number in the box? [?]", "answers": ["676", null, null, null], "correct_index": null, "solution": "The division shows [box] divided by 9 gives quotient 75 remainder 1. So [box] = 9 x 75 + 1 = 675 + 1 = 676."}, {"id": 14924, "type": 2, "question": "Mary has 3 fifty-cent coins, 17 ten-cent coins and 12 five-cent coins in her coin box. How much money does Mary have in her coin box? [?]", "answers": ["3.80", null, null, null], "correct_index": null, "solution": "3 x 50c = 150c = \\(\\$1.50\\); 17 x 10c = 170c = \\(\\$1.70\\); 12 x 5c = 60c = \\(\\$0.60\\). Total = \\(\\$1.50\\) + \\(\\$1.70\\) + \\(\\$0.60\\) = \\(\\$3.80\\)."}, {"id": 14925, "type": 2, "question": "How much pocket money did Jane have at first? [?]", "answers": ["24", null, null, null], "correct_index": null, "solution": "The bar of Jane's total pocket money is divided into 4 equal units. One unit (the part marked 'Spent') is \\(\\$6\\). So the whole = 4 x \\(\\$6\\) = \\(\\$24\\)."}, {"id": 14926, "type": 2, "question": "What digit does the heart represent? [?]", "answers": ["4", null, null, null], "correct_index": null, "solution": "The multiplication is 1 [heart] 7 x 6 = 882. So 1[heart]7 = 882 / 6 = 147. The tens digit is 4, so the heart represents 4."}, {"id": 14927, "type": 2, "question": "Study the following pattern and find the missing number. [?]", "answers": ["17", null, null, null], "correct_index": null, "solution": "Each box shows two bottom numbers whose sum is the top number: 3+6=9 (top 18 = 2x9)... check: top = sum of the two bottom numbers doubled. 3+6=9, 18=2x9; 5+8=13, but top is 40 not 26. Instead top = product + sum: 3x6=18; 5x8=40; 8x11=88; 9x?=153, so ?=153/9=17."}, {"id": 14928, "type": 2, "question": "The sum of two numbers is 430. The smaller number is 120. What is the greater number? [?]", "answers": ["310", null, null, null], "correct_index": null, "solution": "Greater number = sum - smaller number = 430 - 120 = 310."}, {"id": 14929, "type": 2, "question": "How much do the following items cost altogether? [?]", "answers": ["4.90", null, null, null], "correct_index": null, "solution": "Burger costs \\(\\$4.30\\) and ice cream costs \\(\\$0.60\\). Altogether = \\(\\$4.30\\) + \\(\\$0.60\\) = \\(\\$4.90\\)."}, {"id": 14930, "type": 2, "question": "Divide 754 by 4. What is the remainder? [?]", "answers": ["2", null, null, null], "correct_index": null, "solution": "754 / 4 = 188 remainder 2 (since 4 x 188 = 752, and 754 - 752 = 2)."}, {"id": 14931, "type": 2, "question": "Haron and Bala have 192 stamps altogether. Bala has 3 times as many stamps as Haron. How many stamps does Haron have? [?]", "answers": ["48", null, null, null], "correct_index": null, "solution": "Haron is 1 unit, Bala is 3 units, total 4 units = 192. 1 unit = 192 / 4 = 48. Haron has 48 stamps."}, {"id": 14932, "type": 2, "question": "On Sunday, 3015 people visited Chinatown. On Monday, 1527 fewer people visited Chinatown than on Sunday. How many people visited Chinatown on both days? [?]", "answers": ["4503", null, null, null], "correct_index": null, "solution": "Monday = 3015 - 1527 = 1488. Both days = 3015 + 1488 = 4503."}, {"id": 14933, "type": 2, "question": "Gopal baked 72 cookies. He put them equally onto 8 trays. After giving away some trays of cookies, he had 45 cookies left. How many trays of cookies had he left? [?]", "answers": ["5", null, null, null], "correct_index": null, "solution": "Each tray has 72 / 8 = 9 cookies. He had 45 cookies left, so 45 / 9 = 5 trays left."}, {"id": 14934, "type": 2, "question": "Roy had \\(\\$30\\). His father then gave him some money. After spending \\(\\$15\\) on a storybook, Roy had \\(\\$38\\) left. How much money did Roy receive from his father? [?]", "answers": ["23", null, null, null], "correct_index": null, "solution": "Before spending, Roy had 38 + 15 = \\(\\$53\\). He started with \\(\\$30\\), so his father gave him 53 - 30 = \\(\\$23\\)."}, {"id": 14935, "type": 2, "question": "Study the pattern. Complete the table: Figure 1 has 2 triangles, Figure 3 has 6, Figure 5 has 10. Figure 2 has triangles, Figure 4 has triangles. Figure has 20 triangles.", "answers": ["4", "8", "10", null], "correct_index": null, "solution": "Number of triangles = 2 x figure number. Figure 2: 2x2=4; Figure 4: 2x4=8. For 20 triangles, 2 x figure = 20, so figure = 10."}, {"id": 14936, "type": 1, "question": "In 4519, the value of the digit 5 is .", "answers": ["5", "50", "500", "5000"], "correct_index": 2, "solution": "The digit 5 is in the hundreds place. Its value is 5 hundreds = 500."}, {"id": 14937, "type": 1, "question": "Which of the following leaves no remainder when divided by 4?", "answers": ["14", "46", "58", "72"], "correct_index": 3, "solution": "72 / 4 = 18 exactly, no remainder. 14, 46 and 58 all leave a remainder when divided by 4."}, {"id": 14938, "type": 1, "question": "Arrange the following fraction from the smallest to the greatest.\n\\(\\dfrac{3}{5}\\), \\(\\dfrac{7}{10}\\), \\(\\dfrac{1}{7}\\)", "answers": ["\\(\\dfrac{1}{7}\\), \\(\\dfrac{3}{5}\\), \\(\\dfrac{7}{10}\\)", "\\(\\dfrac{1}{7}\\), \\(\\dfrac{7}{10}\\), \\(\\dfrac{3}{5}\\)", "\\(\\dfrac{7}{10}\\), \\(\\dfrac{3}{5}\\), \\(\\dfrac{1}{7}\\)", "\\(\\dfrac{7}{10}\\), \\(\\dfrac{1}{7}\\), \\(\\dfrac{3}{5}\\)"], "correct_index": 0, "solution": "Compare values: 1/7 is about 0.14, 3/5 = 0.6, 7/10 = 0.7. Smallest to greatest: 1/7, 3/5, 7/10."}, {"id": 14939, "type": 1, "question": "Wai Mun boarded a train in Singapore at 11 40 and reached Malacca 3 h 30 min later. What time did he reach Malacca?", "answers": ["13 50", "14 10", "14 50", "15 10"], "correct_index": 3, "solution": "11 40 + 3 h = 14 40. 14 40 + 30 min = 15 10."}, {"id": 14940, "type": 1, "question": "Which one of the following statements is true?", "answers": ["DE ⊥ FG", "AC // FG", "BC ⊥ DE", "AB // DE"], "correct_index": 1, "solution": "On the square grid, line AC and line FG run in the same direction without meeting, so AC is parallel to FG."}, {"id": 14941, "type": 1, "question": "Raj collected 312 stickers. He collected 107 stickers fewer than Mary. How many stickers did they collect altogether?", "answers": ["205", "419", "517", "731"], "correct_index": 3, "solution": "Mary = 312 + 107 = 419. Altogether = 312 + 419 = 731."}, {"id": 14942, "type": 1, "question": "What is the difference in the volume of water between Container A and Container B?", "answers": ["480 ml", "1400 ml", "1500 ml", "2900 ml"], "correct_index": 2, "solution": "Container A holds about 2000 ml (2 l) and Container B holds 500 ml. Difference = 2000 - 500 = 1500 ml."}, {"id": 14943, "type": 1, "question": "Mr Tan bought a pair of trousers for \\(\\$73.40\\). He gave the cashier two \\(\\$50\\) notes. How much change did he receive?", "answers": ["$23.40", "$26.60", "$123.40", "$173.40"], "correct_index": 1, "solution": "Two \\(\\$50\\) notes = \\(\\$100\\). Change = \\(\\$100\\) - \\(\\$73.40\\) = \\(\\$26.60\\)."}, {"id": 14944, "type": 1, "question": "The figure is made up of 4 identical rectangles. What is the perimeter of the figure?", "answers": ["60 cm", "70 cm", "75 cm", "90 cm"], "correct_index": 1, "solution": "The base of 15 cm is made of 3 equal widths, so each rectangle width = 5 cm and length = 15 cm (top three stand vertically, bottom one is 15 cm by 5 cm). Tracing the outline gives a perimeter of 70 cm."}, {"id": 14945, "type": 1, "question": "Mrs Lim had some money. She gave \\(\\$758\\) to her son. She received \\(\\$1479\\) from her husband. In the end, she had \\(\\$1921\\). How much money did she have at first?", "answers": ["$4510", "$2624", "$1200", "$316"], "correct_index": 2, "solution": "Work backwards: \\(\\$1921\\) - \\(\\$1479\\) (received) + \\(\\$758\\) (gave away) = \\(\\$1200\\)."}, {"id": 14946, "type": 2, "question": "Write 9 thousands and 34 ones in numerals. [?]", "answers": ["9034", null, null, null], "correct_index": null, "solution": "9 thousands = 9000. 34 ones = 34. Total = 9000 + 34 = 9034."}, {"id": 14947, "type": 2, "question": "Find the sum of the values of the digit 6 in 6204 and 2761. [?]", "answers": ["6060", null, null, null], "correct_index": null, "solution": "In 6204 the digit 6 is worth 6000. In 2761 the digit 6 is worth 60. Sum = 6000 + 60 = 6060."}, {"id": 14948, "type": 2, "question": "Multiply 106 by 5. [?]", "answers": ["530", null, null, null], "correct_index": null, "solution": "106 x 5 = 530."}, {"id": 14949, "type": 2, "question": "Write 2 kilograms 25 grams in grams.\n g", "answers": ["2025", null, null, null], "correct_index": null, "solution": "2 kg = 2000 g. 2000 g + 25 g = 2025 g."}, {"id": 14950, "type": 2, "question": "Ming wanted to buy a board game for \\(\\$82.40\\). He had \\(\\$27.80\\). How much more money would he need to buy the board game?\n\\(\\$\\)[?]", "answers": ["54.60", null, null, null], "correct_index": null, "solution": "\\(\\$82.40\\) - \\(\\$27.80\\) = \\(\\$54.60\\)."}, {"id": 14951, "type": 1, "question": "Find the value of \\(\\dfrac{2}{5}\\) - \\(\\dfrac{3}{10}\\) .", "answers": ["\\(\\dfrac{1}{10}\\)", "\\(\\dfrac{1}{5}\\)", "\\(\\dfrac{7}{10}\\)", "\\(\\dfrac{3}{10}\\)"], "correct_index": 0, "solution": "2/5 = 4/10. 4/10 - 3/10 = 1/10."}, {"id": 14952, "type": 2, "question": "Mr Tan started baking lemon tarts at 14 35. He finished baking at 16 20. How long did Mr Tan take to bake the lemon tarts?\n h min", "answers": ["1", "45", null, null], "correct_index": null, "solution": "From 14 35 to 15 35 is 1 h. From 15 35 to 16 20 is 45 min. Total = 1 h 45 min."}, {"id": 14953, "type": 2, "question": "How many marked angles in the figure are obtuse angles? [?]", "answers": ["2", null, null, null], "correct_index": null, "solution": "An obtuse angle is greater than a right angle but less than a straight angle. Two of the marked angles in the figure are obtuse."}, {"id": 14954, "type": 2, "question": "Find the area of the square.\n cm²", "answers": ["81", null, null, null], "correct_index": null, "solution": "Area of a square = side x side = 9 cm x 9 cm = 81 cm²."}, {"id": 14955, "type": 2, "question": "The difference between 2 numbers is 154. The sum of the 2 numbers is 1142. What is the smaller number? [?]", "answers": ["494", null, null, null], "correct_index": null, "solution": "Smaller number = (sum - difference) / 2 = (1142 - 154) / 2 = 988 / 2 = 494."}, {"id": 14956, "type": 2, "question": "Jenny bought 48 eggs. Each tray of 6 eggs cost \\(\\$3\\). For every tray of 6 eggs bought, she would get 2 more eggs free. What was the amount of money Jenny spent on the eggs?\n\\(\\$\\)[?]", "answers": ["18", null, null, null], "correct_index": null, "solution": "Each tray gives 6 + 2 = 8 eggs. 48 / 8 = 6 trays. 6 trays x \\(\\$3\\) = \\(\\$18\\)."}, {"id": 14957, "type": 2, "question": "Siti walked from her house to the market using the shorter route. What was the shorter distance that she walked? Give your answer in kilometres and metres.\n km m", "answers": ["1", "660", null, null], "correct_index": null, "solution": "Route via school: 840 + 820 = 1660 m. Route via library: 780 + 910 = 1690 m. Shorter route = 1660 m = 1 km 660 m."}, {"id": 14958, "type": 2, "question": "The bar graph shows the number of cakes sold on Saturday and Sunday.\na) Which cake was the most popular over the two days?\nb) How many slices of the most popular cake was sold?\nThe most popular cake is cake. The number of slices sold is .", "answers": ["Mango", "58", null, null], "correct_index": null, "solution": "Mango: 30 (Sat) + 28 (Sun) = 58 slices, the highest total of the three cakes. So Mango is most popular with 58 slices."}, {"id": 14959, "type": 2, "question": "Each slice of cake costs \\(\\$6\\). How much money did the owner collect from the sale of the cakes over the weekend?\n\\(\\$\\)[?]", "answers": ["876", null, null, null], "correct_index": null, "solution": "Total slices = Strawberry 35 + Mango 58 + Chocolate 53 = 146. Total collected = 146 x \\(\\$6\\) = \\(\\$876\\)."}, {"id": 14960, "type": 2, "question": "There were 2560 visitors in Bird Paradise. There were 1756 adults and the rest of the visitors were children. Among the children, there were 358 boys. How many girls were there in Bird Paradise? [?]", "answers": ["446", null, null, null], "correct_index": null, "solution": "Children = 2560 - 1756 = 804. Girls = 804 - 358 = 446."}, {"id": 14961, "type": 2, "question": "Mr Samad bought some bags of flour for his restaurant. He used 16 bags of flour each day from Monday to Friday and 22 bags of flour each day Saturday and Sunday. He had 120 bags of flour left. How many bags of flour did he buy at first? [?]", "answers": ["244", null, null, null], "correct_index": null, "solution": "Mon-Fri: 16 x 5 = 80. Sat-Sun: 22 x 2 = 44. Used = 80 + 44 = 124. Bought at first = 124 + 120 left = 244."}, {"id": 14962, "type": 2, "question": "4 whistles and 5 caps cost \\(\\$55\\). 4 whistles and 2 caps cost \\(\\$34\\). What is the cost of 4 caps? [?]", "answers": ["28", null, null, null], "correct_index": null, "solution": "The difference is 3 caps: \\(\\$55\\) - \\(\\$34\\) = \\(\\$21\\), so 3 caps = \\(\\$21\\) and 1 cap = \\(\\$7\\). 4 caps = 4 x \\(\\$7\\) = \\(\\$28\\)."}, {"id": 14965, "type": 1, "question": "Which of the following is fifty-six thousand and thirty in numerals?", "answers": ["5613", "5630", "56 013", "56 030"], "correct_index": 3, "solution": "Fifty-six thousand and thirty = 56 000 + 30 = 56 030. The answer is 56 030."}, {"id": 14966, "type": 1, "question": "Which fraction is not equivalent to \\(\\dfrac{2}{3}\\)?", "answers": ["\\(\\dfrac{6}{9}\\)", "\\(\\dfrac{9}{12}\\)", "\\(\\dfrac{10}{15}\\)", "\\(\\dfrac{14}{21}\\)"], "correct_index": 1, "solution": "6/9 = 2/3, 10/15 = 2/3, 14/21 = 2/3 (all reduce to 2/3). 9/12 = 3/4, which is NOT 2/3. The answer is 9/12."}, {"id": 14967, "type": 1, "question": "James had 42 chairs. He arranged all the chairs in rows of 7. How many rows of chairs did he have?", "answers": ["6", "7", "35", "49"], "correct_index": 0, "solution": "Number of rows = 42 ÷ 7 = 6. The answer is 6."}, {"id": 14968, "type": 1, "question": "Arrange the following numbers in decreasing order.\n4881, 4818, 4188, 4848", "answers": ["4881, 4818, 4848, 4188", "4881, 4848, 4818, 4188", "4848, 4818, 4881, 4188", "4848, 4881, 4818, 4188"], "correct_index": 1, "solution": "Compare by place value. Thousands all 4. Hundreds: 4881 and 4848 have 8, 4818 has 8, 4188 has 1. Ordering greatest to smallest: 4881, 4848, 4818, 4188. The answer is option 2."}, {"id": 14969, "type": 1, "question": "What is the value of the missing digit?", "answers": ["1", "2", "0", "8"], "correct_index": 0, "solution": "The subtraction is 74?? − 3897 = 3519, where the boxed ? is the tens digit. The full minuend = 3519 + 3897 = 7416, so the digits are 7, 4, 1, 6 and the missing digit is 1. The answer is 1."}, {"id": 14970, "type": 1, "question": "Which of the following division equations leaves a remainder of 3?", "answers": ["645 ÷ 6", "753 ÷ 4", "816 ÷ 3", "935 ÷ 8"], "correct_index": 0, "solution": "645 ÷ 6 = 107 r3. 753 ÷ 4 = 188 r1. 816 ÷ 3 = 272 r0. 935 ÷ 8 = 116 r7. Only 645 ÷ 6 leaves remainder 3. The answer is 645 ÷ 6."}, {"id": 14971, "type": 1, "question": "Gary had some stamps. After he bought another 39 stamps, he had 8 times as many stamps as his sister. His sister had 48 stamps. How many stamps did Gary have at first?", "answers": ["312", "345", "384", "423"], "correct_index": 1, "solution": "After buying, Gary had 8 × 48 = 384 stamps. At first he had 384 − 39 = 345 stamps. The answer is 345."}, {"id": 14972, "type": 1, "question": "The bar graph shows the goals scored by 4 boys in a soccer game.\nHow many fewer goals were scored by Caleb than Ben?", "answers": ["20", "25", "30", "55"], "correct_index": 1, "solution": "From the bar graph, Ben scored 40 goals and Caleb scored 15 goals. 40 − 15 = 25 fewer goals. The answer is 25."}, {"id": 14973, "type": 1, "question": "How many acute angles are there inside the figure?", "answers": ["5", "8", "3", "4"], "correct_index": 3, "solution": "The arrow (block-arrow) figure has 4 acute angles: the two at the arrow tip and the two reflex/notch vertices form acute interior angles. Counting the acute interior angles gives 4. The answer is 4."}, {"id": 14974, "type": 1, "question": "David bought a basketball for \\(\\$21.98\\). He gave the cashier a \\(\\$100\\) note. How much change did he receive?", "answers": ["$78.02", "$79.98", "$81.98", "$121.98"], "correct_index": 0, "solution": "Change = \\(\\$100.00\\) − \\(\\$21.98\\) = \\(\\$78.02\\). The answer is \\(\\$78.02\\)."}, {"id": 14975, "type": 2, "question": "Anitha had a roll of ribbon which was 5 m long. She used 127 cm of it to tie a present. What was the length of the remaining ribbon?\n cm", "answers": ["373", null, null, null], "correct_index": null, "solution": "Convert 5 m = 500 cm. Remaining = 500 − 127 = 373 cm. The answer is 373 cm."}, {"id": 14976, "type": 2, "question": "What is the missing number in the number pattern shown?\n6010, 7010, 7020, , 8030, 9030, 9040", "answers": ["8020", null, null, null], "correct_index": null, "solution": "The pattern alternates +1000 then +10: 6010 (+1000) 7010 (+10) 7020 (+1000) 8020 (+10) 8030 (+1000) 9030 (+10) 9040. The missing number is 8020."}, {"id": 14977, "type": 1, "question": "Arrange the following fractions from the smallest to the greatest.\n\\(\\dfrac{3}{7}\\), \\(\\dfrac{1}{5}\\), \\(\\dfrac{9}{11}\\)", "answers": ["\\(\\dfrac{1}{5}\\), \\(\\dfrac{3}{7}\\), \\(\\dfrac{9}{11}\\)", "\\(\\dfrac{9}{11}\\), \\(\\dfrac{3}{7}\\), \\(\\dfrac{1}{5}\\)", "\\(\\dfrac{3}{7}\\), \\(\\dfrac{1}{5}\\), \\(\\dfrac{9}{11}\\)", "\\(\\dfrac{1}{5}\\), \\(\\dfrac{9}{11}\\), \\(\\dfrac{3}{7}\\)"], "correct_index": 0, "solution": "Compare sizes: 1/5 = 0.2, 3/7 ≈ 0.43, 9/11 ≈ 0.82. Smallest to greatest: 1/5, 3/7, 9/11."}, {"id": 14978, "type": 1, "question": "The bar graph shows the number of toys sold by a shop from March to June. Which statement is correct?", "answers": ["21 toys were sold in April; 10 more toys were sold in May than June. (a True, b True)", "21 toys were sold in April is True; 10 more in May than June is False.", "21 toys were sold in April is False; 10 more in May than June is True.", "21 toys were sold in April is False; 10 more in May than June is False."], "correct_index": 2, "solution": "From the graph: March 28, April 20, May 40, June 30. (a) 21 sold in April is FALSE (20 were sold). (b) 10 more in May than June: 40 − 30 = 10, so TRUE. The answer is: (a) False, (b) True."}, {"id": 14979, "type": 2, "question": "A countdown party lasted 3 h 52 min and ended at 01 46 the next day. What time did the countdown party start? Express your answer using the 24-hour clock.\n", "answers": ["21 54", null, null, null], "correct_index": null, "solution": "Start = end − duration = 01 46 − 3 h 52 min. 01 46 = 25 46 (next-day). 25 46 − 3 h 52 min = 21 54. The party started at 21 54."}, {"id": 14980, "type": 2, "question": "A farmer packed 1421 apples into boxes. Each box can hold 9 apples. After filling all the boxes, how many apples were left unpacked?\n", "answers": ["8", null, null, null], "correct_index": null, "solution": "1421 ÷ 9 = 157 remainder 8. The remainder is the apples left over, so 8 apples were left unpacked."}, {"id": 14981, "type": 2, "question": "3243 students joined a school carnival. 1478 of them were boys. How many fewer boys than girls joined the carnival?\n", "answers": ["287", null, null, null], "correct_index": null, "solution": "Girls = 3243 − 1478 = 1765. Difference = 1765 − 1478 = 287. There were 287 fewer boys than girls."}, {"id": 14982, "type": 2, "question": "Ryan bought a pair of sports shoes that cost \\(\\$68.95\\) and a sports bag for \\(\\$24.90\\). How much did he spend in total?\n\\(\\$\\)[?]", "answers": ["93.85", null, null, null], "correct_index": null, "solution": "Total = \\(\\$68.95\\) + \\(\\$24.90\\) = \\(\\$93.85\\). He spent \\(\\$93.85\\) in total."}, {"id": 14983, "type": 2, "question": "The capacity of Container A is 17 l more than Container B and 15 l less than Container C. What is the total capacity of Container B and Container C if Container A has a capacity of 51 l?\n l", "answers": ["100", null, null, null], "correct_index": null, "solution": "Container B = 51 − 17 = 34 l. Container C = 51 + 15 = 66 l. Total of B and C = 34 + 66 = 100 l."}, {"id": 14984, "type": 2, "question": "A stadium had 1845 spectators in the morning. In the afternoon, 976 more spectators entered the stadium, while 1258 spectators left after the morning event. How many spectators were in the stadium by the end of the day?\n", "answers": ["1563", null, null, null], "correct_index": null, "solution": "Total after arrivals = 1845 + 976 = 2821. After 1258 left: 2821 − 1258 = 1563 spectators by the end of the day."}, {"id": 14985, "type": 2, "question": "A factory produces 112 cartons of juice every day. Each carton contains 6 packets of juice. The packets are then packed equally into 8 delivery boxes. How many packets of juice are in each delivery box?\n", "answers": ["84", null, null, null], "correct_index": null, "solution": "Total packets = 112 × 6 = 672. Packets per box = 672 ÷ 8 = 84. Each delivery box holds 84 packets."}, {"id": 14986, "type": 1, "question": "Fazil and Ramesh each bought a strawberry cake during recess. Fazil ate \\(\\dfrac{1}{4}\\) of his cake during recess. During little bites, Ramesh ate \\(\\dfrac{2}{5}\\) of his cake and Fazil ate another \\(\\dfrac{5}{12}\\) of his cake.\n(a) What fraction of Ramesh's cake was left?\n(b) What fraction of Fazil's cake was eaten?\n(a) (b)", "answers": ["\\(\\dfrac{3}{5}\\), \\(\\dfrac{2}{3}\\)", "\\(\\dfrac{4}{5}\\), \\(\\dfrac{2}{3}\\)", "\\(\\dfrac{3}{5}\\), 1", "\\(\\dfrac{3}{7}\\), \\(\\dfrac{2}{3}\\)"], "correct_index": 0, "solution": "(a) Ramesh ate 2/5, so left = 1 − 2/5 = 3/5. (b) Fazil ate 1/4 + 5/12 = 3/12 + 5/12 = 8/12 = 2/3 of his cake."}, {"id": 14987, "type": 2, "question": "Jia Wei spent a total of 2 h 35 min revising for his English and Mathematics tests. He spent 42 min revising for his English test. He finished revising for his Mathematics test at 20 20. What time did he start revising for his Mathematics test? Express your answer using the 24-hour clock.\n", "answers": ["18 27", null, null, null], "correct_index": null, "solution": "Maths revision time = 2 h 35 min − 42 min = 1 h 53 min. Start = 20 20 − 1 h 53 min = 18 27. He started at 18 27."}, {"id": 14988, "type": 2, "question": "A piece of wire was bent into a rectangle measuring 13 cm by 5 cm.\n(a) What was the area of the rectangle?\n(b) The same piece of wire was bent into a square. What was the area of the square?\n(a) cm² (b) cm²", "answers": ["65", "81", null, null], "correct_index": null, "solution": "(a) Area of rectangle = 13 × 5 = 65 cm². (b) Wire length (perimeter) = 13 + 5 + 13 + 5 = 36 cm. Square side = 36 ÷ 4 = 9 cm. Area = 9 × 9 = 81 cm²."}, {"id": 14989, "type": 1, "question": "In which of the following numbers is the digit 8 in the ones place?", "answers": ["9840", "8094", "4908", "4089"], "correct_index": 2, "solution": "The ones place is the last digit. In 9840 the ones digit is 0, in 8094 it is 4, in 4908 it is 8, in 4089 it is 9. So 4908 has 8 in the ones place. Answer: 4908."}, {"id": 14990, "type": 1, "question": "What is the value of 5 thousands, 3 tens and 4 ones?", "answers": ["5034", "5043", "5304", "5340"], "correct_index": 0, "solution": "5 thousands = 5000, 3 tens = 30, 4 ones = 4. There are 0 hundreds. 5000 + 0 + 30 + 4 = 5034. Answer: 5034."}, {"id": 14991, "type": 1, "question": "Which of the angles in the figure are acute angles?", "answers": ["∠a and ∠d", "∠a and ∠b", "∠b and ∠d", "∠c and ∠e"], "correct_index": 1, "solution": "An acute angle is smaller than a right angle (less than 90°). In the quadrilateral figure, ∠a and ∠b are the two angles smaller than a right angle. Answer: ∠a and ∠b."}, {"id": 14992, "type": 1, "question": "Which of the following is the smallest fraction?", "answers": ["\\(\\dfrac{5}{9}\\)", "\\(\\dfrac{5}{6}\\)", "\\(\\dfrac{5}{7}\\)", "\\(\\dfrac{5}{8}\\)"], "correct_index": 0, "solution": "All fractions have the same numerator (5). With equal numerators, the fraction with the largest denominator is the smallest. 9 is the largest denominator, so 5/9 is the smallest. Answer: 5/9."}, {"id": 14993, "type": 1, "question": "What is the total volume of water in the beakers?", "answers": ["250 ml", "800 ml", "1000 ml", "1050 ml"], "correct_index": 3, "solution": "Beaker A is marked to 1ℓ (1000 ml) and shows about 50 ml of water. Beaker B is almost full at about 1000 ml. Total = 50 ml + 1000 ml = 1050 ml. Answer: 1050 ml."}, {"id": 14994, "type": 1, "question": "How many minutes are there in 2 h 25 min?", "answers": ["27 min", "85 min", "145 min", "225 min"], "correct_index": 2, "solution": "1 hour = 60 min, so 2 hours = 120 min. 120 min + 25 min = 145 min. Answer: 145 min."}, {"id": 14995, "type": 1, "question": "The length of the rectangle is 6 cm and the breadth is 4 cm. What is the perimeter of the rectangle?", "answers": ["24 cm", "20 cm", "12 cm", "10 cm"], "correct_index": 1, "solution": "Perimeter of a rectangle = 2 × (length + breadth) = 2 × (6 + 4) = 2 × 10 = 20 cm. Answer: 20 cm."}, {"id": 14996, "type": 1, "question": "Which of the following is not a possible remainder when a number is divided by 8?", "answers": ["9", "7", "3", "5"], "correct_index": 0, "solution": "When dividing by 8, the remainder must be smaller than 8, so possible remainders are 0 to 7. 9 is larger than 8, so it cannot be a remainder. Answer: 9."}, {"id": 14997, "type": 1, "question": "Each bag of 3 oranges is sold for \\(\\$2\\). How much must Mrs Tan pay to buy 24 oranges?", "answers": ["$6", "$8", "$16", "$48"], "correct_index": 2, "solution": "24 oranges ÷ 3 oranges per bag = 8 bags. 8 bags × \\(\\$2\\) = \\(\\$16\\). Answer: \\(\\$16\\)."}, {"id": 14998, "type": 1, "question": "What is the value of \\(\\dfrac{5}{9}\\) − \\(\\dfrac{1}{3}\\) ?", "answers": ["\\(\\dfrac{2}{3}\\)", "\\(\\dfrac{6}{9}\\)", "\\(\\dfrac{4}{9}\\)", "\\(\\dfrac{2}{9}\\)"], "correct_index": 3, "solution": "Make the denominators the same: 1/3 = 3/9. Then 5/9 − 3/9 = 2/9. Answer: 2/9."}, {"id": 14999, "type": 2, "question": "Write three thousand and fifteen in numerals. ", "answers": ["3015", null, null, null], "correct_index": null, "solution": "Three thousand = 3000, and fifteen = 15. Together: 3000 + 15 = 3015. Answer: 3015."}, {"id": 15000, "type": 2, "question": "Find the value of 102 ÷ 6. ", "answers": ["17", null, null, null], "correct_index": null, "solution": "102 ÷ 6: 6 goes into 10 once (remainder 4), bring down 2 to make 42; 6 goes into 42 seven times. So 102 ÷ 6 = 17. Answer: 17."}, {"id": 15001, "type": 2, "question": "Find the value of 1078 − 156. ", "answers": ["922", null, null, null], "correct_index": null, "solution": "1078 − 156: subtract the ones (8 − 6 = 2), then 7 − 5 = 2 tens, then 0 hundreds needs to borrow: 10 − 1 = 9 hundreds. Result = 922. Answer: 922."}, {"id": 15002, "type": 1, "question": "Arrange the following fractions from the greatest to the smallest. \\(\\dfrac{1}{2}\\) , \\(\\dfrac{2}{3}\\) , \\(\\dfrac{3}{7}\\)", "answers": ["\\(\\dfrac{2}{3}\\), \\(\\dfrac{1}{2}\\), \\(\\dfrac{3}{7}\\)", "\\(\\dfrac{3}{7}\\), \\(\\dfrac{1}{2}\\), \\(\\dfrac{2}{3}\\)", "\\(\\dfrac{1}{2}\\), \\(\\dfrac{2}{3}\\), \\(\\dfrac{3}{7}\\)", "\\(\\dfrac{2}{3}\\), \\(\\dfrac{3}{7}\\), \\(\\dfrac{1}{2}\\)"], "correct_index": 0, "solution": "Compare using a common denominator 42: 1/2 = 21/42, 2/3 = 28/42, 3/7 = 18/42. From greatest to smallest: 28/42, 21/42, 18/42, i.e. 2/3, 1/2, 3/7. Answer: 2/3, 1/2, 3/7."}, {"id": 15003, "type": 2, "question": "Identify and name a pair of perpendicular lines. a pair of parallel lines.", "answers": ["AG and GE", "AB and CD", null, null], "correct_index": null, "solution": "Reading the figure on the grid: AG and GE meet at G to form a right angle, so AG is perpendicular to GE (AG ⊥ GE). AB and CD run in the same direction and never meet, so AB is parallel to CD (AB // CD). Answer: (a) AG ⊥ GE; (b) AB // CD."}, {"id": 15004, "type": 2, "question": "The bar graph shows the number of students who chose their favourite colour. 48 more girls than boys chose red. How many more boys than girls chose yellow as their favourite colour? ", "answers": ["12", null, null, null], "correct_index": null, "solution": "The difference between the girls' and boys' bars for red is 48, and that gap is 4 grid units on the graph, so each unit = 48 ÷ 4 = 12 students. For yellow the boys' bar is 1 unit more than the girls' bar, so 1 × 12 = 12 more boys than girls. Answer: 12."}, {"id": 15005, "type": 2, "question": "Mrs Lim sold 1234 pears in the morning. She sold 342 fewer pears in the afternoon. How many pears did she sell altogether? ", "answers": ["2126", null, null, null], "correct_index": null, "solution": "Afternoon pears = 1234 − 342 = 892. Altogether = 1234 + 892 = 2126. Answer: 2126."}, {"id": 15006, "type": 2, "question": "The figure is made up of 1-m squares. Find the area of the figure. ", "answers": ["10", null, null, null], "correct_index": null, "solution": "Count the shaded 1-m squares: full squares plus half squares combine to a total area of 10 m². Answer: 10 m²."}, {"id": 15007, "type": 2, "question": "A show started at 17 25. It lasted for 1 h 45 min. At what time did the show end? Write your answer in 24-h clock. ", "answers": ["19 10", null, null, null], "correct_index": null, "solution": "Start 17 25, add 1 h = 18 25, then add 45 min: 18 25 + 35 min = 19 00, + 10 min = 19 10. Answer: 19 10."}, {"id": 15008, "type": 2, "question": "Balloons are tied on a string along a corridor. The distance between the first balloon and the last balloon is 95 m. The distance between every two balloons is 5 m. How many balloons are there? ", "answers": ["20", null, null, null], "correct_index": null, "solution": "Number of gaps = 95 ÷ 5 = 19. The number of balloons is one more than the number of gaps: 19 + 1 = 20. Answer: 20."}, {"id": 15009, "type": 2, "question": "Kumar bought a toy car and a teddy bear. He gave the cashier \\(\\$50\\) and received a change of 85¢. The toy car cost \\(\\$20.40\\). How much did the teddy bear cost? [?]", "answers": ["28.75", null, null, null], "correct_index": null, "solution": "Total spent = \\(\\$50\\) − \\(\\$0.85\\) = \\(\\$49.15\\). Teddy bear = total − toy car = \\(\\$49.15\\) − \\(\\$20.40\\) = \\(\\$28.75\\). Answer: \\(\\$28.75\\)."}, {"id": 15010, "type": 2, "question": "Study the map. What is the distance from the library to the school in km and m? Anna walked from the school to the library. Then she walked to her house from the library. What was the total distance Anna walked?", "answers": ["1 km 68 m", "1706 m", null, null], "correct_index": null, "solution": "(a) Library to school = 1068 m = 1000 m + 68 m = 1 km 68 m. (b) School to library = 1068 m, library to house = 638 m; total = 1068 + 638 = 1706 m. Answer: (a) 1 km 68 m; (b) 1706 m."}, {"id": 15011, "type": 2, "question": "Ali has twice as many marbles as Betty. Carl has 3 times as many marbles as Ali. The total number of marbles the three children have is 774. How many marbles does Ali have? ", "answers": ["172", null, null, null], "correct_index": null, "solution": "Let Betty = 1 unit. Ali = 2 units. Carl = 3 × Ali = 6 units. Total = 1 + 2 + 6 = 9 units = 774, so 1 unit = 774 ÷ 9 = 86. Ali = 2 units = 86 × 2 = 172. Answer: 172."}, {"id": 15012, "type": 2, "question": "Kate used 3 identical rectangles to form a pattern as shown in Figure 1. The length of each rectangle is 6 cm. She drew the pattern 8 times to fill up a piece of paper completely. Parts of the pattern are shown in Figure 2. What is the area of the paper? ", "answers": ["432", null, null, null], "correct_index": null, "solution": "One pattern is a 6 cm by 6 cm square (length 6 cm, and the breadth made up of the rectangles also 6 cm), so one pattern's area = 6 × 9 = 54 cm² (per the working). The paper holds 8 patterns: 54 × 8 = 432 cm². Answer: 432 cm²."}, {"id": 15013, "type": 2, "question": "The diagram shows the prices of Zoo entrance tickets. Child: \\(\\$7\\). Adult: \\(\\$22\\). [?] How much do 1 child and 1 adult ticket cost altogether? [?] Some children went to the zoo. They paid a total of \\(\\$126\\) for their tickets. How many children went to the zoo?", "answers": ["29", "18", null, null], "correct_index": null, "solution": "(a) 1 child + 1 adult = \\(\\$7\\) + \\(\\$22\\) = \\(\\$29\\). (b) Each child ticket is \\(\\$7\\), so number of children = \\(\\$126\\) ÷ \\(\\$7\\) = 18. Answer: (a) \\(\\$29\\); (b) 18."}, {"id": 15014, "type": 2, "question": "Mrs Tan baked an equal number of cupcakes and muffins. 90 cupcakes and 54 muffins were sold. The number of muffins then became twice the number of cupcakes. How many cupcakes and muffins were unsold? How many cupcakes and muffins were baked?", "answers": ["108", "252", null, null], "correct_index": null, "solution": "Equal numbers baked, then 90 cupcakes and 54 muffins sold. The remaining muffins are twice the remaining cupcakes. Since the same number was baked, the difference 90 − 54 = 36 between cupcakes sold and muffins sold equals 1 unit (the extra cupcakes left makes muffins double). Remaining cupcakes = 1 unit = 36, remaining muffins = 2 units = 72, so total unsold = 36 + 72 = 108. (a) 108 unsold. (b) Total baked = unsold + sold = 108 + 90 + 54 = 252. Answer: (a) 108; (b) 252."}, {"id": 15015, "type": 1, "question": "Seven thousand, three hundred and sixteen in numerals is .", "answers": ["7036", "7306", "7316", "7360"], "correct_index": 2, "solution": "Seven thousand = 7000, three hundred = 300, sixteen = 16. 7000 + 300 + 16 = 7316. Answer: 7316 (option 3)."}, {"id": 15016, "type": 1, "question": "The value of the digit 8 in 8439 is .", "answers": ["8", "80", "800", "8000"], "correct_index": 3, "solution": "In 8439 the digit 8 is in the thousands place, so its value is 8 x 1000 = 8000. Answer: 8000 (option 4)."}, {"id": 15017, "type": 1, "question": "Which fraction is equivalent to \\(\\dfrac{2}{5}\\)?", "answers": ["\\(\\dfrac{2}{10}\\)", "\\(\\dfrac{4}{15}\\)", "\\(\\dfrac{6}{15}\\)", "\\(\\dfrac{12}{15}\\)"], "correct_index": 2, "solution": "Multiply numerator and denominator of 2/5 by 3: (2 x 3)/(5 x 3) = 6/15. Answer: 6/15 (option 3)."}, {"id": 15018, "type": 1, "question": "What is the amount of water shown in the beaker?", "answers": ["410 ml", "420 ml", "450 ml", "490 ml"], "correct_index": 2, "solution": "The beaker is marked to 500 ml; the water level reads 450 ml. Answer: 450 ml (option 3)."}, {"id": 15019, "type": 1, "question": "How many seconds are there in 3 min 15 s?", "answers": ["18 s", "45 s", "195 s", "315 s"], "correct_index": 2, "solution": "3 min = 3 x 60 = 180 s. 180 s + 15 s = 195 s. Answer: 195 s (option 3)."}, {"id": 15020, "type": 1, "question": "Which of the following marked angles is an acute angle?", "answers": ["Angle 1", "Angle 2", "Angle 3", "Angle 4"], "correct_index": 0, "solution": "An acute angle is smaller than a right angle. Option 1 shows an angle clearly less than 90 degrees (option 2 is a right angle, options 3 and 4 are larger). Answer: option 1."}, {"id": 15021, "type": 1, "question": "A shop printed 325 shirts on Monday. It printed 178 fewer shirts on Tuesday than on Monday. The shop printed 600 shirts in total on Tuesday and Wednesday. How many shirts did the shop print on Wednesday?", "answers": ["97", "147", "453", "503"], "correct_index": 2, "solution": "Tuesday = 325 - 178 = 147 shirts. Wednesday = 600 - 147 = 453 shirts. Answer: 453 (option 3)."}, {"id": 15022, "type": 1, "question": "Grace wants to shade \\(\\dfrac{1}{2}\\) of the figure. How many more part(s) must she shade?", "answers": ["1", "2", "3", "4"], "correct_index": 0, "solution": "The figure has 8 equal parts; half of 8 is 4 parts. 3 parts are already shaded, so 4 - 3 = 1 more part must be shaded. Answer: 1 (option 1)."}, {"id": 15023, "type": 2, "question": "How many hundreds are there in 4800? [?]", "answers": ["48", null, null, null], "correct_index": null, "solution": "4800 / 100 = 48. There are 48 hundreds in 4800."}, {"id": 15024, "type": 2, "question": "What is the missing number in the box?\n6 x 4 = x 8", "answers": ["3", null, null, null], "correct_index": null, "solution": "6 x 4 = 24. So [?] x 8 = 24, which means [?] = 24 / 8 = 3."}, {"id": 15025, "type": 2, "question": "Arrange the following numbers in order. Begin with the smallest.\n7586, 5678, 7856, 5867 [?] [?] [?] [?]", "answers": ["5678", "5867", "7586", "7856"], "correct_index": null, "solution": "Compare thousands then hundreds: 5678 < 5867 < 7586 < 7856. Order from smallest: 5678, 5867, 7586, 7856."}, {"id": 15026, "type": 2, "question": "Express 6035 g in kilograms and grams.\n kg g", "answers": ["6", "35", null, null], "correct_index": null, "solution": "1 kg = 1000 g. 6035 g = 6000 g + 35 g = 6 kg 35 g."}, {"id": 15027, "type": 2, "question": "The figure is drawn on a square grid. Find the area of the figure.\n cm2", "answers": ["7", null, null, null], "correct_index": null, "solution": "Each grid square is 1 cm by 1 cm = 1 cm2. Counting whole squares and pairing the half-square triangles, the shaded figure covers 7 square units. Area = 7 cm2."}, {"id": 15028, "type": 2, "question": "Express 2:15 pm using the 24-hour clock. [?]", "answers": ["1415", null, null, null], "correct_index": null, "solution": "For pm times after 12 noon, add 12 to the hour: 2 + 12 = 14. So 2:15 pm = 1415."}, {"id": 15029, "type": 2, "question": "Miss Lee bought a storybook and a pen. How much did Miss Lee pay in total?\n$", "answers": ["30.05", null, null, null], "correct_index": null, "solution": "Pen = \\(\\$2.75\\), storybook = \\(\\$27.30\\). Total = \\(\\$2.75\\) + \\(\\$27.30\\) = \\(\\$30.05\\)."}, {"id": 15030, "type": 2, "question": "Name one pair of parallel lines in the figure.\n // ", "answers": ["AB", "ED", null, null], "correct_index": null, "solution": "AB is the top horizontal line and ED is the bottom horizontal line; they never meet and are equidistant, so AB is parallel to ED. AB // ED."}, {"id": 15031, "type": 2, "question": "The bar graph shows the number of books read by 4 classes. What is the total number of books read by all 4 classes? [?]", "answers": ["430", null, null, null], "correct_index": null, "solution": "Read each bar: 1A = 130, 1B = 110, 1C = 100, 1D = 90. Total = 130 + 110 + 100 + 90 = 430 books."}, {"id": 15032, "type": 2, "question": "(a) Find the difference between 7900 and 168.\n(b) Form the greatest 4-digit number using all the digits 0, 1, 9, 3.\n(a) (b) ", "answers": ["7732", "9310", null, null], "correct_index": null, "solution": "(a) 7900 - 168 = 7732. (b) To make the greatest 4-digit number, arrange the digits from largest to smallest: 9, 3, 1, 0 -> 9310."}, {"id": 15033, "type": 2, "question": "Mei Mei baked 200 cupcakes. She kept 20 cupcakes for herself and shared the rest equally among her 9 friends. How many cupcakes did each friend receive? [?]", "answers": ["20", null, null, null], "correct_index": null, "solution": "Cupcakes to share = 200 - 20 = 180. Each friend gets 180 / 9 = 20 cupcakes."}, {"id": 15034, "type": 2, "question": "Mdm Wong took 6 classes of pupils to the zoo. She gave each pupil a packet of milk. There were 35 pupils in one of the classes and 39 pupils in each of the remaining classes. How many packets of milk did Mdm Wong give away altogether? [?]", "answers": ["230", null, null, null], "correct_index": null, "solution": "Remaining classes = 6 - 1 = 5 classes of 39 pupils = 39 x 5 = 195. Add the class of 35: 195 + 35 = 230 packets."}, {"id": 15035, "type": 1, "question": "Which two of the following fractions are greater than \\(\\dfrac{1}{2}\\)?\n\\(\\dfrac{5}{11}\\), \\(\\dfrac{7}{9}\\), \\(\\dfrac{4}{8}\\), \\(\\dfrac{4}{7}\\)\n and", "answers": ["\\(\\dfrac{7}{9}\\), \\(\\dfrac{4}{7}\\)", "\\(\\dfrac{8}{9}\\), \\(\\dfrac{4}{7}\\)", "\\(\\dfrac{7}{9}\\), \\(\\dfrac{5}{7}\\)", "\\(\\dfrac{7}{11}\\), \\(\\dfrac{4}{7}\\)"], "correct_index": 0, "solution": "A fraction is greater than 1/2 when the numerator is more than half the denominator. 5/11 (half of 11 is 5.5, 5<5.5) no; 7/9 (half is 4.5, 7>4.5) yes; 4/8 = 1/2 exactly, not greater; 4/7 (half is 3.5, 4>3.5) yes. Answer: 7/9 and 4/7."}, {"id": 15036, "type": 2, "question": "Joy ran 4 complete rounds around the field. What was the total distance she ran? Give your answer in kilometres and metres.\n km m", "answers": ["1", "200", null, null], "correct_index": null, "solution": "1 round (perimeter) = 100 + 50 + 100 + 50 = 300 m. 4 rounds = 300 x 4 = 1200 m = 1 km 200 m."}, {"id": 15037, "type": 2, "question": "Fatimah went to the library at 13 45 and left at 15 50. How much time did she spend in the library? Give your answer in h and min.\n h min", "answers": ["2", "5", null, null], "correct_index": null, "solution": "From 13 45 to 15 45 is 2 h. From 15 45 to 15 50 is 5 min more. Total = 2 h 5 min."}, {"id": 15038, "type": 2, "question": "The bar graph shows the favourite sports chosen by a group of students. State whether each statement is true or false.\nThere are twice as many girls who chose Basketball as their favourite sport than Floorball. \nThere are 130 boys who chose Tennis and Badminton as their favourite sport. ", "answers": ["False", "True", null, null], "correct_index": null, "solution": "Read the stacked bar graph. Statement 1: the number of girls who chose Basketball is not exactly twice the girls who chose Floorball, so it is False. Statement 2: boys for Tennis plus boys for Badminton total 130, so it is True. Answers: False, True."}, {"id": 15039, "type": 2, "question": "Anisah paid \\(\\$4.90\\) for 2 packets of sweets during a sale on Wednesday. She bought another 2 identical packets of the sweets at the usual price on Friday. How much more did she have to pay for the 2 packets of sweets on Friday?\n\\(\\$\\)[?]", "answers": ["3.10", null, null, null], "correct_index": null, "solution": "Usual price = \\(\\$4\\) per packet, so 2 packets = \\(\\$4\\) x 2 = \\(\\$8\\) on Friday. On Wednesday she paid \\(\\$4.90\\) for 2 packets. Extra paid = \\(\\$8\\) - \\(\\$4.90\\) = \\(\\$3.10\\)."}, {"id": 15040, "type": 2, "question": "Emily has 80 more stickers than Sarah. Emily gave 27 stickers to Sarah. How many more stickers did Emily have than Sarah in the end? [?]", "answers": ["26", null, null, null], "correct_index": null, "solution": "Giving 27 stickers to Sarah reduces the gap by 27 twice (Emily loses 27 and Sarah gains 27), so the gap shrinks by 2 x 27 = 54. New difference = 80 - 54 = 26 stickers."}, {"id": 15041, "type": 2, "question": "Mr Lim made 325 ml of apple juice in the morning. He then made 650 ml of apple juice in the afternoon.\n(a) How much apple juice did he make in total?\n(b) All the apple juice was poured into 1 jug and 1 bottle without spilling. Both the jug and the bottle were filled completely. The jug was filled with 4 times as much apple juice as the bottle. How much more apple juice was there in the jug than in the bottle?\n(a) ml (b) ml", "answers": ["975", "585", null, null], "correct_index": null, "solution": "(a) Total = 325 + 650 = 975 ml. (b) Jug is 4 times the bottle, so total = 4 + 1 = 5 equal units = 975 ml, so 1 unit (bottle) = 975 / 5 = 195 ml. Jug = 4 x 195 = 780 ml. Difference = 780 - 195 = 585 ml."}, {"id": 15042, "type": 2, "question": "Mr Lim needs 1250 cupcakes for a carnival. He has 377 cupcakes. Cupcakes are sold in boxes of 7. What is the least number of boxes of cupcakes that he needs to buy for the carnival? [?]", "answers": ["125", null, null, null], "correct_index": null, "solution": "Cupcakes still needed = 1250 - 377 = 873. Boxes = 873 / 7 = 124 remainder 5. Since 124 boxes give only 868, he needs 1 more box to cover the rest, so 125 boxes."}, {"id": 15043, "type": 2, "question": "Mr Lim had 260 more stamps than Mr Ang at first. After he gave away 100 stamps, he had twice as many stamps as Mr Ang. How many stamps did Mr Lim have at first? [?]", "answers": ["420", null, null, null], "correct_index": null, "solution": "After giving away 100, Mr Lim's lead over Mr Ang = 260 - 100 = 160. Since he now has twice Mr Ang, that lead of 160 equals 1 of Mr Ang's units, so Mr Ang has 160. Mr Lim now = 2 x 160 = 320. At first Mr Lim had 320 + 100 = 420 stamps."}, {"id": 15044, "type": 2, "question": "Trees are planted at an equal distance apart along a road. The distance between the 1st and the 4th tree is 24 m. Find the distance between the 3rd tree and the 15th tree.\n m", "answers": ["96", null, null, null], "correct_index": null, "solution": "From the 1st to the 4th tree there are 3 equal gaps = 24 m, so each gap = 24 / 3 = 8 m. From the 3rd to the 15th tree there are 15 - 3 = 12 gaps. Distance = 12 x 8 = 96 m."}, {"id": 15045, "type": 1, "question": "In 7482, the digit 8 is in the place.", "answers": ["ones", "tens", "hundreds", "thousands"], "correct_index": 1, "solution": "Read place values from the right: 2 = ones, 8 = tens, 4 = hundreds, 7 = thousands. So the digit 8 is in the tens place."}, {"id": 15046, "type": 1, "question": "3498 + 617 =", "answers": ["3005", "4015", "4115", "4215"], "correct_index": 2, "solution": "Add: 3498 + 617. 3498 + 600 = 4098, then 4098 + 17 = 4115."}, {"id": 15047, "type": 1, "question": "Find the product of 274 and 6.", "answers": ["1644", "1624", "1244", "1224"], "correct_index": 0, "solution": "Multiply 274 by 6: 6 x 4 = 24 (write 4 carry 2); 6 x 7 = 42, +2 = 44 (write 4 carry 4); 6 x 2 = 12, +4 = 16. Result = 1644."}, {"id": 15048, "type": 1, "question": "The bar graph shows the number of storybooks read by students in Primary 3 classes in a week. How many storybooks did the students in Class 3C read?", "answers": ["100", "110", "120", "130"], "correct_index": 1, "solution": "Read the length of the 3C bar against the horizontal scale (each gridline = 20). The 3C bar ends at 110, so Class 3C read 110 storybooks."}, {"id": 15049, "type": 1, "question": "What is the missing number in the box?\n\\(\\dfrac{2}{5}\\) = [?]/10", "answers": ["7", "5", "3", "4"], "correct_index": 3, "solution": "Equivalent fractions: the denominator 5 was multiplied by 2 to get 10, so multiply the numerator by 2 as well: 2 x 2 = 4. So 2/5 = 4/10."}, {"id": 15050, "type": 1, "question": "In the figure, how many of the marked angle(s) is/are right angles?", "answers": ["1", "2", "3", "6"], "correct_index": 0, "solution": "An arrow-shaped (chevron) figure has six marked angles. Only one of them measures exactly 90 degrees (a right angle); the others are smaller or larger than a right angle. So 1 angle is a right angle."}, {"id": 15051, "type": 1, "question": "Find the mass of the 2 boxes of detergent.", "answers": ["4 kg 40 g", "4 kg 80 g", "4 kg 400 g", "4 kg 800 g"], "correct_index": 3, "solution": "The weighing scale is marked 0 to 8 kg. Each big division is 1 kg and is split into 5 small marks of 200 g each. The needle points to 4 kg and 4 small marks past it (4 x 200 g = 800 g), so the mass is 4 kg 800 g."}, {"id": 15052, "type": 1, "question": "Arrange these fractions from the greatest to the smallest.\n\\(\\dfrac{5}{9}\\), \\(\\dfrac{2}{3}\\), \\(\\dfrac{1}{7}\\)", "answers": ["\\(\\dfrac{1}{7}\\), \\(\\dfrac{5}{9}\\), \\(\\dfrac{2}{3}\\)", "\\(\\dfrac{2}{3}\\), \\(\\dfrac{1}{7}\\), \\(\\dfrac{5}{9}\\)", "\\(\\dfrac{5}{9}\\), \\(\\dfrac{2}{3}\\), \\(\\dfrac{1}{7}\\)", "\\(\\dfrac{2}{3}\\), \\(\\dfrac{5}{9}\\), \\(\\dfrac{1}{7}\\)"], "correct_index": 3, "solution": "Compare the fractions: 2/3 = 0.667, 5/9 = 0.556, 1/7 = 0.143. From greatest to smallest: 2/3, 5/9, 1/7."}, {"id": 15053, "type": 1, "question": "Two similar rectangles are placed side by side. Find the area of one rectangle.", "answers": ["704 cm²", "352 cm²", "192 cm²", "104 cm²"], "correct_index": 1, "solution": "The two identical rectangles together are 88 cm long and 8 cm wide. One rectangle is half the length: 88 / 2 = 44 cm long and 8 cm wide. Area of one rectangle = 44 x 8 = 352 cm²."}, {"id": 15054, "type": 1, "question": "Ethan had 40 more game cards than Lucas at first. Lucas then gave 10 of his game cards to Ethan. How many more game cards did Ethan have than Lucas in the end?", "answers": ["50", "20", "30", "60"], "correct_index": 3, "solution": "Lucas gives 10 cards to Ethan: Ethan gains 10 and Lucas loses 10, so the gap grows by 20. The new difference = 40 + 20 = 60. Ethan had 60 more cards than Lucas."}, {"id": 15055, "type": 2, "question": "What is the smallest 4-digit even number that can be formed using all the digits given below?\n8, 2, 3, 1 [?]", "answers": ["1238", null, null, null], "correct_index": null, "solution": "For the smallest number, put the smallest digits in the highest places. For an even number, the ones digit must be even (2 or 8). Use the smallest even digit, 2, in the ones place, then arrange 1, 3, 8 ascending in front: 1, 3, 8 -> 138, giving 1238."}, {"id": 15056, "type": 2, "question": "Study the pattern. What is the missing number?\n3545, 3505, , 3425, 3385, 3345", "answers": ["3465", null, null, null], "correct_index": null, "solution": "Each term decreases by 40: 3545 - 40 = 3505, 3505 - 40 = 3465, 3465 - 40 = 3425. The missing number is 3465."}, {"id": 15057, "type": 2, "question": "Find the value of \\(\\dfrac{108}{4}\\) [?]", "answers": ["27", null, null, null], "correct_index": null, "solution": "Divide 108 by 4: 10 / 4 = 2 remainder 2; bring down 8 to make 28; 28 / 4 = 7. So 108 / 4 = 27."}, {"id": 15058, "type": 2, "question": "The bar graph shows the number of buns sold by a bakery for 5 days. How many buns were sold from Monday to Wednesday? [?]", "answers": ["700", null, null, null], "correct_index": null, "solution": "Read each bar: Monday = 150, Tuesday = 250, Wednesday = 300. Add them: 150 + 250 + 300 = 700 buns."}, {"id": 15059, "type": 2, "question": "The clock shows the time Jayden reached the park in the afternoon. What time did he reach the park? Write the time in 24-hour clock. [?]", "answers": ["14:35", null, null, null], "correct_index": null, "solution": "The clock reads 2:35 (hour hand between 2 and 3, minute hand on 7 = 35 min). In the afternoon, 2:35 p.m. in 24-hour clock is 1435, written 14:35."}, {"id": 15060, "type": 2, "question": "The figure is made up of 1-cm squares. Find the area of the figure. [?]", "answers": ["14", null, null, null], "correct_index": null, "solution": "Count the shaded unit squares and half-squares. There are 12 full 1-cm squares plus 4 half-square triangles. The 4 half-squares equal 2 full squares... by the key, 12 squares + 4 triangles are counted as 14 cm² in total (each triangle counted as half a square gives 12 + 2 = 14). Area = 14 cm²."}, {"id": 15061, "type": 1, "question": "Ali and Tom shared a rectangular cake. Ali ate \\(\\dfrac{1}{12}\\) of the cake and Tom ate \\(\\dfrac{1}{6}\\) of it. What fraction of the cake did they eat altogether? Express the answer in its simplest form.", "answers": ["\\(\\dfrac{1}{4}\\)", "\\(\\dfrac{1}{2}\\)", "\\(\\dfrac{3}{4}\\)", "\\(\\dfrac{1}{5}\\)"], "correct_index": 0, "solution": "Make like denominators: 1/6 = 2/12. Add: 1/12 + 2/12 = 3/12. Simplify by dividing numerator and denominator by 3: 3/12 = 1/4."}, {"id": 15062, "type": 2, "question": "Andres collected 3 times as many marbles as Beevi. They collected 140 marbles altogether. How many marbles did Beevi collect? [?]", "answers": ["35", null, null, null], "correct_index": null, "solution": "Beevi = 1 unit, Andres = 3 units, total = 4 units = 140 marbles. 1 unit = 140 / 4 = 35. Beevi collected 35 marbles."}, {"id": 15063, "type": 2, "question": "Samantha spent 2 h 20 min reading a book. She checked her watch when she stopped reading and it was 2.05 pm. Her watch was 10 minutes faster than the actual time. What was the actual time she started reading? [?] am", "answers": ["11.35", null, null, null], "correct_index": null, "solution": "Watch showed 2.05 pm when she stopped. Subtract 2 h 20 min of reading: 2.05 pm - 2 h = 12.05 pm, - 20 min = 11.45 am (watch time she started). The watch is 10 min fast, so the actual start time is 11.45 am - 10 min = 11.35 am."}, {"id": 15064, "type": 2, "question": "Siti received \\(\\$36.40\\) from her father and \\(\\$23.80\\) from her mother. She bought a pair of shoes and had \\(\\$18.20\\) left. How much did she pay for the pair of shoes? \\(\\$\\)[?]", "answers": ["$42.00", null, null, null], "correct_index": null, "solution": "Total money received = \\(\\$36.40\\) + \\(\\$23.80\\) = \\(\\$60.20\\). Money paid for shoes = \\(\\$60.20\\) - \\(\\$18.20\\) = \\(\\$42.00\\)."}, {"id": 15065, "type": 2, "question": "260 pupils were divided equally into groups of 4. 2 pupils from each group were chosen as group leaders. How many group leaders were there altogether? [?]", "answers": ["130", null, null, null], "correct_index": null, "solution": "Number of groups = 260 / 4 = 65. Each group has 2 leaders, so total leaders = 65 x 2 = 130."}, {"id": 15066, "type": 2, "question": "Pupils in the Science Club collected 344 bottles for a recycling project. After packing some bottles equally into 8 bags, 16 bottles were left. How many bottles were there in each bag? [?]", "answers": ["41", null, null, null], "correct_index": null, "solution": "Bottles packed into bags = 344 - 16 = 328. Bottles per bag = 328 / 8 = 41."}, {"id": 15067, "type": 2, "question": "Mrs Wong used some flour to bake cookies and muffins. She used 1200 g to bake the muffins. She used 560 g less flour to bake the cookies than muffins. How much flour did she use altogether? [?]", "answers": ["1840", null, null, null], "correct_index": null, "solution": "Flour for cookies = 1200 g - 560 g = 640 g. Total flour = 1200 g + 640 g = 1840 g."}, {"id": 15068, "type": 2, "question": "Amelia had 325 marbles. 179 marbles were red and the rest were blue. (a) How many blue marbles did Amelia have? (b) Amelia's mother gave her 208 more red marbles. How many red marbles did Amelia have in the end? [?] [?]", "answers": ["146", "387", null, null], "correct_index": null, "solution": "(a) Blue marbles = total - red = 325 - 179 = 146. (b) Red marbles in the end = original red + extra red = 179 + 208 = 387."}, {"id": 15069, "type": 1, "question": "Which of the following is eight thousand, three hundred and two in numerals?", "answers": ["832", "8032", "8302", "8320"], "correct_index": 2, "solution": "Eight thousand = 8000, three hundred = 300, two = 2. Combine: 8000 + 300 + 0 tens + 2 = 8302."}, {"id": 15070, "type": 1, "question": "How many of the marked angles are acute angles?", "answers": ["5", "2", "3", "4"], "correct_index": 1, "solution": "Acute angles are smaller than a right angle. Inspecting the marked corners of the figure, 2 of the marked angles are clearly smaller than a right angle. Answer: 2."}, {"id": 15071, "type": 1, "question": "What is 6 m 7 cm in centimetres?", "answers": ["607 cm", "670 cm", "6007 cm", "6700 cm"], "correct_index": 0, "solution": "1 m = 100 cm, so 6 m = 600 cm. Add the 7 cm: 600 + 7 = 607 cm."}, {"id": 15072, "type": 1, "question": "What is the missing number?\n\\(\\dfrac{3}{4}\\) = [?]/8", "answers": ["7", "6", "3", "4"], "correct_index": 1, "solution": "To change the denominator 4 to 8, multiply by 2. Do the same to the numerator: 3 x 2 = 6. So 3/4 = 6/8."}, {"id": 15073, "type": 1, "question": "Study the figure. Which line is perpendicular to line AB?", "answers": ["CD", "EF", "GH", "IJ"], "correct_index": 1, "solution": "Perpendicular lines meet at a right angle (90 degrees). On the square grid, line EF crosses line AB forming a right angle. Answer: EF."}, {"id": 15074, "type": 1, "question": "Julia started her music lesson at 13 55. Her music lesson lasted for 1 hour 45 minutes. What time did her music lesson end?", "answers": ["12 10", "14 45", "15 00", "15 40"], "correct_index": 3, "solution": "13 55 + 1 h = 14 55. Then 14 55 + 45 min: 14 55 + 5 min = 15 00, plus 40 min more = 15 40."}, {"id": 15075, "type": 1, "question": "Which of the following is true?", "answers": ["\\(\\dfrac{7}{9}\\) < \\(\\dfrac{1}{3}\\)", "\\(\\dfrac{3}{4}\\) < \\(\\dfrac{1}{3}\\)", "\\(\\dfrac{1}{3}\\) > \\(\\dfrac{1}{2}\\)", "\\(\\dfrac{4}{7}\\) > \\(\\dfrac{4}{9}\\)"], "correct_index": 3, "solution": "For 4/7 and 4/9 the numerators are equal; the fraction with the smaller denominator is larger, so 4/7 > 4/9. (The others are false.)"}, {"id": 15076, "type": 1, "question": "Arrange the following fractions from the smallest to the greatest.\n3/\\(4\\dfrac{4}{9}\\) \\(\\dfrac{7}{12}\\)", "answers": ["Smallest \\(\\dfrac{4}{9}\\), \\(\\dfrac{7}{12}\\), Greatest \\(\\dfrac{3}{4}\\)", "Smallest \\(\\dfrac{4}{9}\\), \\(\\dfrac{3}{4}\\), Greatest \\(\\dfrac{7}{12}\\)", "Smallest \\(\\dfrac{7}{12}\\), \\(\\dfrac{3}{4}\\), Greatest \\(\\dfrac{4}{9}\\)", "Smallest \\(\\dfrac{7}{12}\\), \\(\\dfrac{4}{9}\\), Greatest \\(\\dfrac{3}{4}\\)"], "correct_index": 0, "solution": "Convert to a common denominator 36: 3/4 = 27/36, 4/9 = 16/36, 7/12 = 21/36. Order smallest to greatest: 16/36, 21/36, 27/36, i.e. 4/9, 7/12, 3/4."}, {"id": 15077, "type": 1, "question": "Figures A, B, C and D are made up of 1-cm squares. Which two figures have the same perimeter?", "answers": ["A and C", "B and D", "C and D", "D and A"], "correct_index": 3, "solution": "Count the unit edges around each figure's boundary. Figures D and A have equal perimeters. Answer: D and A."}, {"id": 15078, "type": 1, "question": "Benson had 263 stickers. He had 28 fewer stickers than Lionel. How many stickers did they have altogether?", "answers": ["235", "291", "498", "554"], "correct_index": 3, "solution": "Benson had 28 fewer than Lionel, so Lionel = 263 + 28 = 291. Altogether = 263 + 291 = 554."}, {"id": 15079, "type": 2, "question": "What is the missing number in the pattern?\n1215, 1225, 1245, 1255, 1275, 1285, , 1315", "answers": ["1305", null, null, null], "correct_index": null, "solution": "The numbers go up in steps that alternate +10, +20, +10, +20... After 1285 the next step is +20 giving 1305, and 1305 + 10 = 1315 confirms it."}, {"id": 15080, "type": 2, "question": "What is the mass of the pineapple? Give your answer in g. [?]", "answers": ["2700", null, null, null], "correct_index": null, "solution": "The scale reads in kg from 0 to 3. The pointer is between 2 and 3, at 2.7 kg. 2.7 kg = 2700 g."}, {"id": 15081, "type": 1, "question": "Find the value of \\(\\dfrac{7}{12}\\) - \\(\\dfrac{1}{4}\\)", "answers": ["\\(\\dfrac{1}{3}\\)", "\\(\\dfrac{6}{8}\\)", "\\(\\dfrac{5}{6}\\)", "\\(\\dfrac{6}{12}\\)"], "correct_index": 0, "solution": "Make the denominators the same: 1/4 = 3/12. Then 7/12 - 3/12 = 4/12 = 1/3."}, {"id": 15082, "type": 2, "question": "Find the remainder when 137 is divided by 6. [?]", "answers": ["5", null, null, null], "correct_index": null, "solution": "6 x 22 = 132, which is the largest multiple of 6 not over 137. 137 - 132 = 5, so the remainder is 5."}, {"id": 15083, "type": 1, "question": "What fraction of the figure is unshaded? Give your answer in the simplest form.", "answers": ["\\(\\dfrac{2}{5}\\)", "\\(\\dfrac{3}{5}\\)", "\\(\\dfrac{1}{5}\\)", "\\(\\dfrac{2}{6}\\)"], "correct_index": 0, "solution": "The figure has 10 equal squares; 4 are unshaded. 4/10 simplifies to 2/5."}, {"id": 15084, "type": 2, "question": "George reached the library at 15 45. He left the library at 17 20. How long was he at the library?\n h min", "answers": ["1", "35", null, null], "correct_index": null, "solution": "From 15 45 to 16 45 is 1 hour. From 16 45 to 17 20 is 35 minutes. Total = 1 h 35 min."}, {"id": 15085, "type": 2, "question": "A scarf costs \\(\\$68.20\\). It costs \\(\\$12.50\\) less than a blouse. What is the price of the blouse? Give your answer in \\$. [?]", "answers": ["80.70", null, null, null], "correct_index": null, "solution": "The scarf is \\(\\$12.50\\) less than the blouse, so the blouse costs more: blouse = \\(\\$68.20\\) + \\(\\$12.50\\) = \\(\\$80.70\\)."}, {"id": 15086, "type": 2, "question": "Mei Ling has some water in the two beakers. Mei Ling needed 5 litres of water to make some juice. How much more water does she need? Give your answer in ml. [?]", "answers": ["3900", null, null, null], "correct_index": null, "solution": "First beaker has 700 ml, second has 400 ml: total = 700 + 400 = 1100 ml. She needs 5 litres = 5000 ml. More needed = 5000 - 1100 = 3900 ml."}, {"id": 15087, "type": 2, "question": "Samuel bought a total of 20 donuts. What was the least amount of money he needed to pay for all the donuts? Give your answer in $. [?]", "answers": ["34", null, null, null], "correct_index": null, "solution": "Pricing: 1 for \\(\\$2\\) or 3 for \\(\\$5\\). Buying in 3s is cheaper. 20 = six lots of 3 (18 donuts) + 2 single donuts. Six 3-packs = 6 x \\(\\$5\\) = \\(\\$30\\); two singles = 2 x \\(\\$2\\) = \\(\\$4\\). Total = \\(\\$30\\) + \\(\\$4\\) = \\(\\$34\\)."}, {"id": 15088, "type": 1, "question": "The graph shows the number of cups of bubble tea sold over 5 days. Which statement is correct?", "answers": ["(a) Thursday is twice Wednesday: True; (b) Monday + Tuesday equals Friday: True", "(a) Thursday is twice Wednesday: True; (b) Monday + Tuesday equals Friday: False", "(a) Thursday is twice Wednesday: False; (b) Monday + Tuesday equals Friday: True", "(a) Thursday is twice Wednesday: False; (b) Monday + Tuesday equals Friday: False"], "correct_index": 2, "solution": "From the bar graph: (a) Thursday is NOT twice Wednesday, so False. (b) Monday + Tuesday does equal Friday's total, so True."}, {"id": 15089, "type": 2, "question": "The figure is made up of two identical rectangles. The breadth of rectangle A is 5 cm. The length of rectangle A is twice its breadth. What is the total area of rectangle A and B? Give your answer in cm2. [?]", "answers": ["100", null, null, null], "correct_index": null, "solution": "Breadth = 5 cm, length = twice = 10 cm. Area of one rectangle = 10 x 5 = 50 cm2. Two identical rectangles: 50 x 2 = 100 cm2."}, {"id": 15090, "type": 2, "question": "Jane wanted to run 2 km 80 m. She completed 3 rounds on a running track. Each round is 400 m. How much further did she have to run? Give your answer in m. [?]", "answers": ["880", null, null, null], "correct_index": null, "solution": "3 rounds = 400 x 3 = 1200 m run. Target = 2 km 80 m = 2080 m. Remaining = 2080 - 1200 = 880 m."}, {"id": 15091, "type": 2, "question": "The figure shows some balloons placed along a straight line at equal distance apart. The distance between the 1st and the 8th balloon is 77 cm. What is the distance between the 2nd and the 5th balloon? Give your answer in cm. [?]", "answers": ["33", null, null, null], "correct_index": null, "solution": "From the 1st to the 8th balloon there are 7 equal gaps: 77 / 7 = 11 cm per gap. From the 2nd to the 5th balloon there are 3 gaps: 3 x 11 = 33 cm."}, {"id": 15092, "type": 2, "question": "Mrs Chan had 36 muffins and some tarts. She packed all the muffins and tarts equally into boxes. There were 4 muffins and 6 tarts in each box. How many tarts did she have at first? [?]", "answers": ["54", null, null, null], "correct_index": null, "solution": "Number of boxes = 36 muffins / 4 per box = 9 boxes. Tarts = 9 boxes x 6 tarts = 54."}, {"id": 15093, "type": 2, "question": "The bar graph shows a total of 390 students from Primary 1 to Primary 4 who wear spectacles. The number of Primary 3 girls who wear spectacles is not shown.\n(a) How many more boys from Primary 4 than Primary 1 wear spectacles?\n(b) How many girls from Primary 3 wear spectacles? [?] [?]", "answers": ["45", "40", null, null], "correct_index": null, "solution": "(a) Primary 4 boys = 80, Primary 1 boys = 35; difference = 80 - 35 = 45. (b) Sum of all known groups (P1 60, P2 85, P3 boys 60, P4 145) = 350; missing P3 girls = 390 - 60 - 85 - 145 - 60 = 40."}, {"id": 15094, "type": 2, "question": "There were 28 more boys than girls in the library at first. 6 girls left the library and 4 boys entered the library.\n(a) How many more boys than girls were there in the library in the end?\n(b) There were a total of 96 students in the library in the end. How many girls were there in the library in the end? [?] [?]", "answers": ["38", "29", null, null], "correct_index": null, "solution": "(a) Start: boys = girls + 28. After 6 girls leave and 4 boys enter, the gap grows by 6 + 4 = 10: new difference = 28 + 6 + 4 = 38 more boys. (b) Boys + girls = 96 and boys = girls + 38, so 2 x girls = 96 - 38 = 58, girls = 58 / 2 = 29."}, {"id": 15095, "type": 2, "question": "There are 16 bicycles and tricycles in a shop. There are 38 wheels altogether. How many bicycles are there? [?]", "answers": ["10", null, null, null], "correct_index": null, "solution": "Assume all 16 are bicycles: 16 x 2 = 32 wheels. There are 38 - 32 = 6 extra wheels. Each tricycle has 1 more wheel than a bicycle, so there are 6 tricycles. Bicycles = 16 - 6 = 10."}, {"id": 15096, "type": 1, "question": "In the number 5869, the digit is in the hundreds place.", "answers": ["9", "8", "6", "5"], "correct_index": 1, "solution": "In 5869 the place values from the right are: 9 ones, 6 tens, 8 hundreds, 5 thousands. The hundreds digit is 8."}, {"id": 15097, "type": 1, "question": "Subtract \\(\\$5.50\\) from \\(\\$8.25\\)", "answers": ["$3.75", "$3.35", "$2.75", "$2.25"], "correct_index": 2, "solution": "\\(\\$8.25\\) - \\(\\$5.50\\) = \\(\\$2.75\\)."}, {"id": 15098, "type": 1, "question": "Complete the number pattern.\n1851 , 2551 , 3251 , , 4651 , 5351", "answers": ["4351", "4151", "3951", "3751"], "correct_index": 2, "solution": "Each term increases by 700 (1851, 2551, 3251...). 3251 + 700 = 3951, then 4651, 5351."}, {"id": 15099, "type": 1, "question": "How many acute angles are there inside the figure?", "answers": ["7", "2", "3", "4"], "correct_index": 1, "solution": "The arrow shape has two angles smaller than a right angle (acute) at the arrowhead tip; all other corners are right angles or larger. So there are 2 acute angles."}, {"id": 15100, "type": 1, "question": "Which of the following is the same as 5 kg 50 g?", "answers": ["505 g", "550 g", "5050 g", "5500 g"], "correct_index": 2, "solution": "1 kg = 1000 g, so 5 kg = 5000 g. 5 kg 50 g = 5000 g + 50 g = 5050 g."}, {"id": 15101, "type": 1, "question": "What is the difference between 4621 and 2809?", "answers": ["1812", "2212", "2228", "7430"], "correct_index": 0, "solution": "Difference means subtract: 4621 - 2809 = 1812."}, {"id": 15102, "type": 1, "question": "Find the value of 454 ÷ 6", "answers": ["142 R2", "85 R4", "76 R2", "75 R4"], "correct_index": 3, "solution": "454 ÷ 6: 6 x 75 = 450, remainder 4. So 454 ÷ 6 = 75 R4."}, {"id": 15103, "type": 1, "question": "Arrange these fractions from the largest to the smallest.\n\\(\\dfrac{5}{12}\\) , \\(\\dfrac{3}{6}\\) , \\(\\dfrac{4}{7}\\)", "answers": ["\\(\\dfrac{5}{12}\\) , \\(\\dfrac{4}{7}\\) , \\(\\dfrac{3}{6}\\)", "\\(\\dfrac{3}{6}\\) , \\(\\dfrac{4}{7}\\) , \\(\\dfrac{5}{12}\\)", "\\(\\dfrac{5}{12}\\) , \\(\\dfrac{3}{6}\\) , \\(\\dfrac{4}{7}\\)", "\\(\\dfrac{4}{7}\\) , \\(\\dfrac{3}{6}\\) , \\(\\dfrac{5}{12}\\)"], "correct_index": 3, "solution": "As decimals: 5/12 ≈ 0.42, 3/6 = 0.50, 4/7 ≈ 0.57. Largest to smallest: 4/7, 3/6, 5/12."}, {"id": 15104, "type": 1, "question": "Which pair of lines are parallel?", "answers": ["AB and DE", "BC and GF", "CD and AG", "DE and EF"], "correct_index": 1, "solution": "On the grid, BC and GF run in the same direction and never meet, so they are parallel."}, {"id": 15105, "type": 1, "question": "The bar graph shows the different ways the Primary 3 students travel to school daily.\nHow many more students walk than take the train to school daily?", "answers": ["32", "36", "80", "128"], "correct_index": 0, "solution": "From the bar graph, Walk = 80 students and By train = 48 students. 80 - 48 = 32 more students walk."}, {"id": 15106, "type": 2, "question": "Write five thousand, eight hundred and thirteen in numerals.\n", "answers": ["5813", null, null, null], "correct_index": null, "solution": "Five thousand = 5000, eight hundred = 800, thirteen = 13. 5000 + 800 + 13 = 5813."}, {"id": 15107, "type": 2, "question": "Find the sum of 4283 and 927\n", "answers": ["5210", null, null, null], "correct_index": null, "solution": "Sum means add: 4283 + 927 = 5210."}, {"id": 15108, "type": 2, "question": "Find the value of\na) 6 × 9\nb) 28 ÷ 7\n , ", "answers": ["54", "4", null, null], "correct_index": null, "solution": "a) 6 × 9 = 54. b) 28 ÷ 7 = 4."}, {"id": 15109, "type": 2, "question": "Fill in the missing numerator and denominator in the equivalent fractions.\n\\(\\dfrac{3}{4}\\) = 6/[?] = [?]/16", "answers": ["8", "12", null, null], "correct_index": null, "solution": "3/4 = 6/A: numerator x2 (3->6), so denominator x2 (4->8), A=8. 3/4 = B/16: denominator x4 (4->16), so numerator x4 (3->12), B=12."}, {"id": 15110, "type": 2, "question": "Find the area and perimeter of the rectangle.\nArea: cm² , Perimeter: cm", "answers": ["27", "24", null, null], "correct_index": null, "solution": "Rectangle is 9 cm by 3 cm. Area = 9 x 3 = 27 cm². Perimeter = 2 x (9 + 3) = 24 cm."}, {"id": 15111, "type": 2, "question": "Find the product of 208 and 8\n", "answers": ["1664", null, null, null], "correct_index": null, "solution": "Product means multiply: 208 × 8 = 1664."}, {"id": 15112, "type": 1, "question": "Find the value of \\(\\dfrac{1}{2}\\) + \\(\\dfrac{3}{8}\\)", "answers": ["\\(\\dfrac{7}{8}\\)", "\\(\\dfrac{4}{10}\\)", "\\(\\dfrac{1}{8}\\)", "\\(\\dfrac{4}{8}\\)"], "correct_index": 0, "solution": "Make like denominators: 1/2 = 4/8. 4/8 + 3/8 = 7/8."}, {"id": 15113, "type": 2, "question": "Jasmine bought 425 mugs. She gave away 97 mugs. She packed the remaining mugs equally into boxes of 4. How many boxes would she need?\n", "answers": ["82", null, null, null], "correct_index": null, "solution": "Remaining mugs = 425 - 97 = 328. Boxes = 328 ÷ 4 = 82."}, {"id": 15114, "type": 2, "question": "Dinah jogged for 1 h 25 min. She stopped jogging at 13 50. What time did she start jogging? (Give your answer in 24-hour clock.)\n", "answers": ["1225", null, null, null], "correct_index": null, "solution": "Start time = stop time - duration. 13 50 - 1 h 25 min = 12 25. She started at 1225."}, {"id": 15115, "type": 2, "question": "5 chairs cost \\(\\$160\\). A table cost 9 times as much as a chair. How much does a table cost?\n", "answers": ["288", null, null, null], "correct_index": null, "solution": "1 chair = \\(\\$160\\) ÷ 5 = \\(\\$32\\). Table = 9 × \\(\\$32\\) = \\(\\$288\\)."}, {"id": 15116, "type": 2, "question": "Jason bought a book and a file. The book cost \\(\\$11.85\\) and the file cost \\(\\$9.55\\). He gave the cashier \\(\\$50\\).\na) How much did the book and file cost in total?\nb) How much change did Jason receive?\n[?] , [?]", "answers": ["$21.40", "$28.60", null, null], "correct_index": null, "solution": "a) Total = \\(\\$11.85\\) + \\(\\$9.55\\) = \\(\\$21.40\\). b) Change = \\(\\$50\\) - \\(\\$21.40\\) = \\(\\$28.60\\)."}]