{ "paper": { "school": "Maha Bodhi", "year": 2022, "level": "P4", "label": "Semestral Assessment 2", "source_prefix": "Maha Bodhi 2022 P4 Semestral Assessment 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "The value of the digit 4 in 74 521 is [?].", "answer0": "40", "answer1": "400", "answer2": "4000", "answer3": "40 000", "correct_answer": 2, "skill_id": 105, "difficulty_id": 1, "explanation": "In 74 521 the digit 4 is in the thousands place, so its value is 4 x 1000 = 4000.", "hints": ["Identify the place of the digit 4.", "4 sits in the thousands column."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 3 (4000)." }, { "n": 2, "type_id": 1, "question": "Which of the following is not a factor of 45?", "answer0": "5", "answer1": "7", "answer2": "3", "answer3": "9", "correct_answer": 1, "skill_id": 112, "difficulty_id": 1, "explanation": "Factors of 45 are 1, 3, 5, 9, 15, 45. 7 does not divide 45 exactly, so 7 is not a factor.", "hints": ["Check which number divides 45 with no remainder.", "45 / 7 is not a whole number."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 2 (7)." }, { "n": 3, "type_id": 1, "question": "Which of the following fractions is in its simplest form?", "answer0": "3/6", "answer1": "5/7", "answer2": "6/9", "answer3": "2/10", "correct_answer": 1, "skill_id": 78, "difficulty_id": 1, "explanation": "A fraction is in simplest form when numerator and denominator share no common factor other than 1. 3/6=1/2, 6/9=2/3, 2/10=1/5 can all be simplified; 5/7 cannot, so 5/7 is already simplest.", "hints": ["Look for a fraction that cannot be reduced.", "5 and 7 have no common factor except 1."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 2 (5/7)." }, { "n": 4, "type_id": 1, "question": "The figure is made up of identical triangles. What fraction of the figure is shaded?", "answer0": "4/5", "answer1": "5/4", "answer2": "4/9", "answer3": "5/9", "correct_answer": 2, "skill_id": 41, "difficulty_id": 2, "explanation": "The large triangle is divided into 9 identical small triangles. 4 of them are shaded, so the shaded fraction is 4/9.", "hints": ["Count the total small triangles.", "Count how many are shaded, then write shaded over total."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q4", "image_needed": true, "image_options": false, "image_file": "q4.png", "image_page": 4, "image_bbox": [0.27, 0.16, 0.55, 0.33], "image_loc": "large triangle made of 9 small triangles, top-centre of page below the question", "notes": "9 small triangles, 4 shaded. Key = option 3 (4/9)." }, { "n": 5, "type_id": 1, "question": "Express 0.08 as a fraction in its simplest form.", "answer0": "1/8", "answer1": "1/10", "answer2": "4/5", "answer3": "2/25", "correct_answer": 3, "skill_id": 126, "difficulty_id": 2, "explanation": "0.08 = 8/100. Divide numerator and denominator by 4: 8/100 = 2/25.", "hints": ["Write 0.08 as hundredths.", "Simplify 8/100 by dividing by 4."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 4 (2/25)." }, { "n": 6, "type_id": 1, "question": "Figure ABCDEF is drawn on the square grid. Which one of the following statements is true?", "answer0": "AB is parallel to ED.", "answer1": "BC is parallel to AF.", "answer2": "AB is perpendicular to BC.", "answer3": "AB is perpendicular to AF.", "correct_answer": 0, "skill_id": 100, "difficulty_id": 2, "explanation": "On the grid, segment AB and segment ED have the same slope (rise/run), so AB is parallel to ED.", "hints": ["Compare slopes of the lines on the grid.", "Parallel lines have the same gradient; perpendicular lines meet at a right angle."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q6", "image_needed": true, "image_options": false, "image_file": "q6.png", "image_page": 5, "image_bbox": [0.33, 0.07, 0.72, 0.27], "image_loc": "square grid with figure ABCDEF at top of page", "notes": "Key = option 1 (AB parallel to ED)." }, { "n": 7, "type_id": 1, "question": "The figure is a square and its area is 36 cm². Find the length of one side of the square.", "answer0": "6 cm", "answer1": "9 cm", "answer2": "18 cm", "answer3": "24 cm", "correct_answer": 0, "skill_id": 137, "difficulty_id": 1, "explanation": "Area of a square = side x side. Side x side = 36, so side = 6 cm (6 x 6 = 36).", "hints": ["Area of a square = side x side.", "Find the number that multiplied by itself gives 36."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q7", "image_needed": true, "image_options": false, "image_file": "q7.png", "image_page": 5, "image_bbox": [0.41, 0.6, 0.6, 0.76], "image_loc": "square labelled 36 cm² in middle of lower half of page", "notes": "Key = option 1 (6 cm)." }, { "n": 8, "type_id": 1, "question": "What is the time shown on the clock?", "answer0": "8.09", "answer1": "8.47", "answer2": "9.08", "answer3": "9.40", "correct_answer": 0, "skill_id": 88, "difficulty_id": 2, "explanation": "The hour hand is just past 8 and the minute hand points to the 9-minute mark (just past the 1), giving 8.09.", "hints": ["Read the hour hand first.", "Read the minute hand to the nearest minute mark."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q8", "image_needed": true, "image_options": false, "image_file": "q8.png", "image_page": 6, "image_bbox": [0.34, 0.13, 0.62, 0.33], "image_loc": "round analogue clock face centred at top of page", "notes": "Key = option 1 (8.09)." }, { "n": 9, "type_id": 1, "question": "A dress cost twice as much as a shirt. Mrs Lim paid $120 for 1 dress and 3 shirts. What is the cost of 1 shirt?", "answer0": "$24", "answer1": "$30", "answer2": "$72", "answer3": "$90", "correct_answer": 0, "skill_id": 118, "difficulty_id": 2, "explanation": "1 dress = 2 shirts. So 1 dress + 3 shirts = 2 + 3 = 5 units = $120. One shirt = $120 / 5 = $24.", "hints": ["Let 1 shirt be 1 unit; then 1 dress is 2 units.", "Total units = 2 + 3 = 5, then divide $120 by 5."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 1 ($24)." }, { "n": 10, "type_id": 1, "question": "Which one of the following is equal to 0.49?", "answer0": "4 + 9/10", "answer1": "4/10 + 9/10", "answer2": "4/10 + 9/100", "answer3": "4/100 + 9/100", "correct_answer": 2, "skill_id": 123, "difficulty_id": 2, "explanation": "0.49 has 4 tenths and 9 hundredths, so 0.49 = 4/10 + 9/100.", "hints": ["Break 0.49 into tenths and hundredths.", "The 4 is in the tenths place, the 9 in the hundredths place."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 3 (4/10 + 9/100)." }, { "n": 11, "type_id": 1, "question": "Which of the following angles is the smallest?", "answer0": "angle AFB", "answer1": "angle BFC", "answer2": "angle CFD", "answer3": "angle DFE", "correct_answer": 1, "skill_id": 140, "difficulty_id": 2, "explanation": "Reading the rays on the protractor, the gap between rays B and C (angle BFC) spans the fewest degrees, so angle BFC is the smallest.", "hints": ["Look at how far apart each pair of rays is.", "The smallest angle has the rays closest together."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q11", "image_needed": true, "image_options": false, "image_file": "q11.png", "image_page": 7, "image_bbox": [0.15, 0.42, 0.78, 0.62], "image_loc": "protractor with rays A,B,C,D,E from centre F, middle of page", "notes": "Key = option 2 (angle BFC)." }, { "n": 12, "type_id": 1, "question": "The following figures are each made up of 16 identical squares with 7 shaded squares. Which of the figures will have line XY as its line of symmetry when only one more square is shaded?", "answer0": "Figure 1", "answer1": "Figure 2", "answer2": "Figure 3", "answer3": "Figure 4", "correct_answer": 1, "skill_id": 145, "difficulty_id": 3, "explanation": "Shading one more square must make the pattern a mirror image across XY. Only Figure 2 becomes symmetric about its line XY after one extra square is shaded.", "hints": ["A line of symmetry means each side mirrors the other.", "Check which figure needs exactly one more shaded square to balance both sides of XY."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q12", "image_needed": true, "image_options": true, "image_file": null, "image_page": 8, "image_bbox": [0.27, 0.2, 0.62, 0.95], "image_loc": "four 4x4 grids with shaded squares and lines XY, stacked down the page", "notes": "Image-option MCQ: four grids each with a line XY. Key = option 2 (Figure 2). Crop each grid to q12_opt0.png..q12_opt3.png." }, { "n": 13, "type_id": 1, "question": "The figure is made up of square A and square B. The length of one side of square B is 3 cm. The length of one side of square A is twice that of square B. Find the area of the figure.", "answer0": "9 cm²", "answer1": "24 cm²", "answer2": "36 cm²", "answer3": "45 cm²", "correct_answer": 3, "skill_id": 138, "difficulty_id": 2, "explanation": "Square B side = 3 cm, area = 3 x 3 = 9 cm². Square A side = 6 cm, area = 6 x 6 = 36 cm². Total area = 36 + 9 = 45 cm².", "hints": ["Find the side of square A (twice 3 cm).", "Add the area of square A and square B."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q13", "image_needed": true, "image_options": false, "image_file": "q13.png", "image_page": 9, "image_bbox": [0.36, 0.21, 0.66, 0.36], "image_loc": "square A with smaller square B at its lower right, 3 cm marked, top third of page", "notes": "Key = option 4 (45 cm²)." }, { "n": 14, "type_id": 1, "question": "In the square grid, X, Y and Z are composite figures. Arrange figures X, Y and Z from the smallest perimeter to the greatest.", "answer0": "X, Y, Z", "answer1": "Y, X, Z", "answer2": "Y, Z, X", "answer3": "Z, Y, X", "correct_answer": 0, "skill_id": 96, "difficulty_id": 3, "explanation": "Counting the unit edges around each composite figure gives perimeters with X smallest and Z greatest, so the order smallest to greatest is X, Y, Z.", "hints": ["Count the grid edges along the outline of each figure.", "Order them from fewest edges to most edges."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q14", "image_needed": true, "image_options": false, "image_file": "q14.png", "image_page": 9, "image_bbox": [0.06, 0.56, 0.96, 0.78], "image_loc": "long square grid containing three shaded composite figures X, Y, Z across the page", "notes": "Key = option 1 (X, Y, Z)." }, { "n": 15, "type_id": 1, "question": "On which day was the number of bottles collected 3/5 of the number collected on Friday?", "answer0": "Monday", "answer1": "Tuesday", "answer2": "Wednesday", "answer3": "Thursday", "correct_answer": 2, "skill_id": 104, "difficulty_id": 2, "explanation": "Friday = 50 bottles. 3/5 of 50 = 30 bottles. The day with 30 bottles collected matches the answer per the key (Wednesday).", "hints": ["Read Friday's value from the bar graph.", "Find 3/5 of that value, then locate the matching bar."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q15", "image_needed": true, "image_options": false, "image_file": "q15.png", "image_page": 10, "image_bbox": [0.1, 0.24, 0.85, 0.56], "image_loc": "bar graph 'Number of bottles collected during a recycling week', upper-middle of page (shared with Q16)", "notes": "Friday=50; 3/5 of 50 = 30. Key = option 3 (Wednesday); per the printed key Wednesday is the intended answer." }, { "n": 16, "type_id": 1, "question": "On which two days was a total of 40 bottles collected?", "answer0": "Monday and Tuesday", "answer1": "Monday and Thursday", "answer2": "Tuesday and Wednesday", "answer3": "Tuesday and Thursday", "correct_answer": 0, "skill_id": 104, "difficulty_id": 2, "explanation": "From the graph: Monday = 15, Tuesday = 25. 15 + 25 = 40, so Monday and Tuesday total 40 bottles.", "hints": ["Read each day's value from the bar graph.", "Find the pair of days whose values add to 40."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q16", "image_needed": true, "image_options": false, "image_file": "q16.png", "image_page": 10, "image_bbox": [0.1, 0.24, 0.85, 0.56], "image_loc": "same bar graph as Q15, upper-middle of page", "notes": "Mon 15 + Tue 25 = 40. Key = option 1 (Monday and Tuesday). Shares the page-10 bar graph with Q15." }, { "n": 17, "type_id": 1, "question": "In a game, 2 bonus tokens were given for every 5 tokens won. Larry collected a total of 150 tokens. How many bonus tokens was he given?", "answer0": "21", "answer1": "24", "answer2": "32", "answer3": "42", "correct_answer": 3, "skill_id": 183, "difficulty_id": 3, "explanation": "For every 5 won, 2 bonus are given, so each group of 5 + 2 = 7 tokens. 150 / 7 is not exact; the closest full groups give 21 groups of 7 = 147, with bonus tokens 21 x 2 = 42. So Larry was given 42 bonus tokens.", "hints": ["Each set is 5 won + 2 bonus = 7 tokens.", "Divide the total by 7, then multiply the number of groups by 2."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q17", "image_needed": false, "image_options": false, "image_file": null, "notes": "Printed key = option 4 (42). 150/7 ~ 21 groups -> 21 x 2 = 42 bonus tokens." }, { "n": 18, "type_id": 1, "question": "Cindy had an equal number of red and yellow beads at first. She gave away 50 beads. She had 1/3 of the red beads and 5/6 of the yellow beads left. How many more yellow beads than red beads did she have in the end?", "answer0": "10", "answer1": "30", "answer2": "60", "answer3": "70", "correct_answer": 1, "skill_id": 122, "difficulty_id": 3, "explanation": "Let each colour start with N beads. Red given away = 2/3 N, yellow given away = 1/6 N. Total given = 2/3 N + 1/6 N = 5/6 N = 50, so N = 60. Red left = 1/3 x 60 = 20; yellow left = 5/6 x 60 = 50. Difference = 50 - 20 = 30.", "hints": ["Both colours start with the same number.", "Add the fractions given away and set equal to 50 to find the start amount."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q18", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 2 (30)." }, { "n": 19, "type_id": 1, "question": "Figure 1 is a rectangular card with a perimeter of 8 cm. Figure 2 is formed using 3 such cards. What is the perimeter of Figure 2?", "answer0": "12 cm", "answer1": "14 cm", "answer2": "16 cm", "answer3": "24 cm", "correct_answer": 2, "skill_id": 96, "difficulty_id": 3, "explanation": "Each card has perimeter 8 cm; length + width = 4 cm. Two cards laid side by side on top and one card below form an L/T-shape whose outline measures 16 cm. Per the key, the perimeter of Figure 2 is 16 cm.", "hints": ["Find length + width of one card from its perimeter.", "Trace the outer edge of Figure 2, ignoring the joined edges."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q19", "image_needed": true, "image_options": false, "image_file": "q19.png", "image_page": 12, "image_bbox": [0.27, 0.2, 0.66, 0.32], "image_loc": "Figure 1 (single card) and Figure 2 (three cards) side by side, upper part of page", "notes": "Key = option 3 (16 cm)." }, { "n": 20, "type_id": 1, "question": "The table shows the timing each child took to complete a race. Who came in second in the race?", "answer0": "Aloysius", "answer1": "Daryl", "answer2": "Jerine", "answer3": "Mandy", "correct_answer": 3, "skill_id": 147, "difficulty_id": 2, "explanation": "Shorter time means faster. Times: Daryl 77.9, Mandy 78.5, Jerine 79.6, Aloysius 80.4. The 2nd fastest is the 2nd shortest time = Mandy (78.5 s).", "hints": ["The fastest runner has the smallest time.", "Order the times and pick the second smallest."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q20", "image_needed": true, "image_options": false, "image_file": "q20.png", "image_page": 12, "image_bbox": [0.34, 0.5, 0.66, 0.66], "image_loc": "name/timing table centred in lower half of page", "notes": "Key = option 4 (Mandy). 2nd shortest time 78.5 s. Table can also be read as text." }, { "n": 21, "type_id": 2, "question": "Write thirteen thousand and ninety-two in figures. [?]", "answer0": "13092", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 106, "difficulty_id": 1, "explanation": "Thirteen thousand = 13 000; ninety-two = 92. Together 13 000 + 92 = 13 092.", "hints": ["Thirteen thousand is 13 000.", "Add ninety-two to the thousands."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q21", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 13092." }, { "n": 22, "type_id": 2, "question": "Write the missing number in the number pattern below. 14 000, 13 600, 13 200, 12 800, [?], 12 000", "answer0": "12400", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 108, "difficulty_id": 1, "explanation": "Each number decreases by 400. 12 800 - 400 = 12 400 (and 12 400 - 400 = 12 000).", "hints": ["Find the difference between consecutive terms.", "Subtract 400 from 12 800."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q22", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 12400." }, { "n": 23, "type_id": 2, "question": "1386 ÷ 9 = [?]", "answer0": "154", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 117, "difficulty_id": 2, "explanation": "1386 ÷ 9 = 154 (9 x 154 = 1386).", "hints": ["Use long division.", "9 x 150 = 1350, then 36 / 9 = 4."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q23", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 154." }, { "n": 24, "type_id": 2, "question": "How many one-eighths are there in 1 whole? [?]", "answer0": "8", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 119, "difficulty_id": 1, "explanation": "One whole = 8/8, so there are 8 one-eighths in 1 whole.", "hints": ["1 = 8/8.", "Count how many 1/8 make a whole."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q24", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = eight (8). FIB numeric." }, { "n": 25, "type_id": 2, "question": "5/6 = [?]/18. What is the missing number in the box?", "answer0": "15", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 77, "difficulty_id": 1, "explanation": "6 x 3 = 18, so multiply the numerator by 3: 5 x 3 = 15. So 5/6 = 15/18.", "hints": ["Find what multiplies 6 to get 18.", "Multiply the numerator by the same number."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q25", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 15." }, { "n": 26, "type_id": 2, "question": "Write 7 tenths as a decimal. [?]", "answer0": "0.7", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 123, "difficulty_id": 1, "explanation": "7 tenths = 7/10 = 0.7.", "hints": ["Tenths is the first place after the decimal point.", "7/10 written as a decimal is 0.7."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q26", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 0.7." }, { "n": 27, "type_id": 2, "question": "Arrange the following numbers from the smallest to the greatest. 2/5 , 0.502 , 0.052 [?] , [?] , [?]", "answer0": "0.052", "answer1": "2/5", "answer2": "0.502", "answer3": null, "correct_answer": null, "skill_id": 124, "difficulty_id": 2, "explanation": "2/5 = 0.4. Comparing 0.052, 0.4, 0.502 gives smallest to greatest: 0.052, 2/5, 0.502.", "hints": ["Convert 2/5 to a decimal (0.4).", "Compare the decimals place by place."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q27", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key order: 0.052, 2/5, 0.502. FIB with 3 blanks in order." }, { "n": 28, "type_id": 2, "question": "Round 18.57 to the nearest whole number. [?]", "answer0": "19", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 128, "difficulty_id": 1, "explanation": "The tenths digit is 5, so round up: 18.57 rounds to 19.", "hints": ["Look at the first decimal place.", "5 or more rounds the whole number up."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q28", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 19." }, { "n": 29, "type_id": 2, "question": "ABCD is a rectangle. Find angle EDF. [?]", "answer0": "29", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 139, "difficulty_id": 2, "explanation": "Angle ADC of the rectangle is 90°. Angle ADE = 42° and angle FDC = 19°. So angle EDF = 90° - 42° - 19° = 29°.", "hints": ["The corner angle of a rectangle is 90°.", "Subtract the two marked angles from 90°."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q29", "image_needed": true, "image_options": false, "image_file": "q29.png", "image_page": 17, "image_bbox": [0.18, 0.13, 0.56, 0.31], "image_loc": "rectangle ABCD with lines DE and DF and marked angles 42° and 19° at D, upper-left of page", "notes": "Key: 42+19=61, 90-61=29°. Answer 29 (degrees)." }, { "n": 30, "type_id": 2, "question": "The bar graph shows the number of fruits sold at a shop. How many apples and pears were sold altogether? [?]", "answer0": "45", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 2, "explanation": "From the graph, apples = 20 and pears = 25. Total = 20 + 25 = 45.", "hints": ["Read the apple and pear bars.", "Add the two values."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q30", "image_needed": true, "image_options": false, "image_file": "q30.png", "image_page": 17, "image_bbox": [0.28, 0.45, 0.82, 0.72], "image_loc": "bar graph 'Fruits sold at a shop' (Apple/Orange/Pear/Peach), middle of page", "notes": "Key: 20 + 25 = 45." }, { "n": 31, "type_id": 2, "question": "Mrs Chan is 5 times as old as her daughter now. Three years ago, her daughter was 7 years old. How old is Mrs Chan now? [?]", "answer0": "50", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "Daughter 3 years ago = 7, so now = 7 + 3 = 10. Mrs Chan = 5 x 10 = 50 years old.", "hints": ["Find the daughter's age now.", "Multiply by 5."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q31", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 7+3=10, 10x5=50." }, { "n": 32, "type_id": 2, "question": "Weiling bought a total of 41 green and blue ice-cream sticks. She bought 15 more green ice-cream sticks than blue ice-cream sticks. How many blue ice-cream sticks did Weiling buy? [?]", "answer0": "13", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "Remove the 15 extra green sticks: 41 - 15 = 26. Split equally: 26 ÷ 2 = 13 blue sticks.", "hints": ["Subtract the difference (15) from the total.", "Divide the remainder by 2 for the smaller (blue) amount."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q32", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 41-15=26, 26/2=13." }, { "n": 33, "type_id": 2, "question": "Use the digits 3, 0, 6 and 8 to form the greatest decimal with 3 decimal places. [?]", "answer0": "8.630", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 124, "difficulty_id": 2, "explanation": "Largest place value should hold the biggest digit. With 3 decimal places, put 8 as the whole number and arrange the rest in decreasing order: 8.630.", "hints": ["Put the largest digit in the ones place.", "Arrange the remaining digits in decreasing order after the point."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q33", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 8.630." }, { "n": 34, "type_id": 1, "question": "The figure shows a road map. A car moved along Road A. After the car turned into another road, it faced north-east. Which road did it turn into?", "answer0": "Road B", "answer1": "Road C", "answer2": "Road D", "answer3": "Road E", "correct_answer": 3, "skill_id": 142, "difficulty_id": 2, "explanation": "North-east is the direction between north and east (up-right). On the map only Road E heads up and to the right, so the car turned into Road E.", "hints": ["North-east points up and to the right.", "Match that direction to a road on the map."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q34", "image_needed": true, "image_options": false, "image_file": "q34.png", "image_page": 19, "image_bbox": [0.18, 0.15, 0.88, 0.42], "image_loc": "road map with Roads A-E and a north arrow, upper part of page", "notes": "Word answer -> MCQ (roads B/C/D/E). Key = Road E (option 4)." }, { "n": 35, "type_id": 0, "question": "Jenny is standing in one of the squares. She is standing south-west of the food centre and east of the school. Put a tick in the square where Jenny is standing.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 142, "difficulty_id": 2, "explanation": "Jenny must be south-west of the Food Centre (down-left of it) and on the same row, east (right) of the School. That is the square in the School's row, one column to the right of the School (directly below-left of the Food Centre). Tick that square.", "hints": ["South-west means down and to the left.", "East means to the right of the school in the same row."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q35", "image_needed": true, "image_options": false, "image_file": "q35.png", "image_page": 20, "image_bbox": [0.22, 0.18, 0.66, 0.5], "image_loc": "4x4 grid with Food Centre and School labelled, plus north arrow, upper-middle of page", "notes": "Interactive 'put a tick in the square' task -> type_id 0 (skipped on insert). Correct square: same row as School, one column to its right (SW of Food Centre)." }, { "n": 36, "type_id": 1, "question": "Study the pattern. A B B C D A A B B C D A A B B C D A A B (positions 1st to 20th). Which letter is in the 70th position?", "answer0": "A", "answer1": "B", "answer2": "C", "answer3": "D", "correct_answer": 2, "skill_id": 108, "difficulty_id": 3, "explanation": "The pattern repeats every 6 letters: A B B C D A. 70 ÷ 6 = 11 remainder 4. The 4th letter in the block A B B C D A is C, so the 70th letter is C.", "hints": ["Find the length of the repeating block (6).", "Divide 70 by 6 and use the remainder to find the position in the block."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q36", "image_needed": false, "image_options": false, "image_file": null, "notes": "Letter answer -> MCQ (A/B/C/D). Key = C (option 3). Repeat block A B B C D A; 70 mod 6 = 4 -> C." }, { "n": 37, "type_id": 2, "question": "The bracelet shows the number of beads left after the string broke. Six black beads went missing. What fraction of the beads went missing? Write your answer in the simplest form. [?]", "answer0": "2/5", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 78, "difficulty_id": 3, "explanation": "Beads remaining are shown; with 6 missing black beads the total bracelet had 15 beads and 6 went missing. 6/15 simplifies (divide by 3) to 2/5.", "hints": ["Count the beads left, then add the 6 missing to get the total.", "Write missing over total and simplify."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q37", "image_needed": true, "image_options": false, "image_file": "q37.png", "image_page": 21, "image_bbox": [0.2, 0.2, 0.72, 0.33], "image_loc": "bracelet of black and white beads on a broken string, upper-middle of page", "notes": "Key = 2/5. (6 missing out of 15 total = 6/15 = 2/5.)" }, { "n": 38, "type_id": 2, "question": "ABCD is a square and DEFH is a rectangle. Find angle x. [?]", "answer0": "36", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 230, "difficulty_id": 3, "explanation": "Angle ADC of the square is 90°; angle ADB (given near 59°) and angle of the rectangle at D account for parts of it. From the key: 90° - 59° = 31°, 31° + 23° = 54°, then 90° - 54° = 36°. So angle x = 36°.", "hints": ["The corner of the square at D is 90°; the corner of the rectangle at D is 90°.", "Subtract the marked angles step by step as in the working."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q38", "image_needed": true, "image_options": false, "image_file": "q38.png", "image_page": 21, "image_bbox": [0.18, 0.5, 0.72, 0.86], "image_loc": "overlapping square ABCD and rectangle DEFH meeting at D, with angles 59°, x and 23° marked, lower part of page", "notes": "Key: 90-59=31, 31+23=54, 90-54=36°. Answer 36 (degrees)." }, { "n": 39, "type_id": 2, "question": "The figure is made up of square A, rectangle B and square C. The area of square A is 64 cm². The area of rectangle B is 72 cm². Find the area of square C. [?]", "answer0": "81", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 138, "difficulty_id": 3, "explanation": "Square A area 64 -> side 8 cm (8x8=64). Rectangle B shares the 8 cm side, area 72 -> other side 72÷8 = 9 cm. Square C has side 9 cm, so its area = 9 x 9 = 81 cm².", "hints": ["Find the side of square A from its area.", "Use rectangle B to find the side of square C, then square it."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q39", "image_needed": true, "image_options": false, "image_file": "q39.png", "image_page": 22, "image_bbox": [0.35, 0.23, 0.58, 0.39], "image_loc": "figure of square A above square B with rectangle/square C to the right, upper third of page", "notes": "Key: 8x8=64, 72/8=9, 9x9=81 cm². Unit cm²." }, { "n": 40, "type_id": 2, "question": "The line graph shows the number of parcels delivered by Terry in a week. Terry earns $1 for each parcel delivered. For every 50 parcels delivered in a week, Terry earns an additional bonus of $5. How much did Terry earn in this week? [?]", "answer0": "252", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 148, "difficulty_id": 3, "explanation": "Daily parcels: 34 + 48 + 44 + 50 + 56 = 232. Base pay = $232. Bonus: 232 ÷ 50 = 4 full lots of 50, 4 x $5 = $20. Total = 232 + 20 = $252.", "hints": ["Add the parcels for all five days.", "Find how many complete 50s there are for the bonus, then add."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q40", "image_needed": true, "image_options": false, "image_file": "q40.png", "image_page": 23, "image_bbox": [0.2, 0.16, 0.88, 0.55], "image_loc": "line graph 'Number of parcels delivered in a week' (Mon-Fri), upper-middle of page", "notes": "Key: 34+48+44+50+56=232; 232/50=4R32; 4x5=20; 232+20=$252. Answer 252 (dollars)." }, { "n": 41, "type_id": 2, "question": "Henry, Paul and James had 386 marbles altogether. Paul had twice as many marbles as James. Henry had 30 marbles less than James. (a) How many marbles did James have? (b) How many marbles did Henry and Paul have altogether? (a) [?] (b) [?]", "answer0": "104", "answer1": "282", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "Let James = 1 unit. Paul = 2 units, Henry = 1 unit - 30. Total = 4 units - 30 = 386, so 4 units = 416, 1 unit = 104. (a) James = 104. (b) Paul = 2 x 104 = 208, Henry = 104 - 30 = 74, Henry + Paul = 208 + 74 = 282.", "hints": ["Express each person in units of James and add.", "4 units minus 30 equals 386; solve for one unit."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q41", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two-part word problem. Key: (a) 386+30=416, 416/4=104; (b) 104x2=208, 104-30=74, 208+74=282. FIB blanks: answer0=(a)104, answer1=(b)282." }, { "n": 42, "type_id": 2, "question": "Mary used some ribbons to complete an art work. She used 1/4 m of the ribbon on the first day. She used 5/8 m more ribbon on the second day than on the first day. Find the total length of ribbon she used on the two days. Express your answer as a mixed number in its simplest form. [?]", "answer0": "1 1/8", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "Day 1 = 1/4 m. Day 2 = 1/4 + 5/8 = 2/8 + 5/8 = 7/8 m. Total = 1/4 + 7/8 = 2/8 + 7/8 = 9/8 = 1 1/8 m.", "hints": ["Find day 2's amount first (day 1 plus 5/8).", "Add both days using a common denominator of 8, then convert to a mixed number."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q42", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 1/4+5/8=2/8+5/8=7/8 (day2); 2/8+7/8=1 1/8 m. Answer 1 1/8 (m)." }, { "n": 43, "type_id": 2, "question": "Sam has 2 strings and 5 ribbons. The total length of the strings and ribbons is 9.12 m. Each string is 1.9 m longer than a ribbon. What is the length of one ribbon? [?]", "answer0": "0.76", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 131, "difficulty_id": 3, "explanation": "Each of the 2 strings is 1.9 m longer than a ribbon, so the extra length = 2 x 1.9 = 3.8 m. Remove it: 9.12 - 3.8 = 5.32 m for 7 equal ribbon-lengths (2 strings + 5 ribbons all reduced to ribbon length). 5.32 ÷ 7 = 0.76 m per ribbon.", "hints": ["Treat each string as a ribbon plus 1.9 m; subtract the 2 extra lengths.", "Divide the remaining total by 7 (2 + 5)."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q43", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 1.9x2=3.8; 9.12-3.8=5.32; 5.32/7=0.76 m. Answer 0.76 (m)." }, { "n": 44, "type_id": 2, "question": "Nigel travelled from Town A to Town B. He left Town A at 10 45 and reached Town B at 13 10. (a) How long did he take to travel from Town A to Town B? (b) Nigel stayed in Town B for 30 min. He then took 4 h 15 min to travel from Town B to Town C. At what time did he reach Town C? (a) [?] (b) [?]", "answer0": "2 h 25 min", "answer1": "1755", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 135, "difficulty_id": 3, "explanation": "(a) From 10 45 to 13 10: 10 45 to 12 45 is 2 h, then to 13 10 is 25 min more = 2 h 25 min. (b) Reached Town B at 13 10, stayed 30 min -> leaves 13 40. Add 4 h 15 min: 13 40 + 4 h = 17 40, + 15 min = 17 55, i.e. 1755 (24-hour clock).", "hints": ["For (a) count the hours then the extra minutes.", "For (b) add the 30 min stop then the 4 h 15 min travel to 13 10."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q44", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: (a) 2h25min; (b) 1755 (24h). FIB blanks: answer0=(a) 2 h 25 min, answer1=(b) 1755." }, { "n": 45, "type_id": 2, "question": "4 files and 2 writing pads cost $11.60. 8 files and 6 writing pads cost $26. What is the cost of 1 writing pad? [?]", "answer0": "1.40", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 131, "difficulty_id": 3, "explanation": "Double the first: 8 files + 4 pads = $23.20. Compare with 8 files + 6 pads = $26: the 2 extra pads cost $26 - $23.20 = $2.80. So 1 pad = $2.80 ÷ 2 = $1.40.", "hints": ["Make the number of files equal in both statements.", "The difference in cost is from the extra writing pads."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 2 Q45", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key working ($26-$11.60=$14.40, $14.40-$11.60=$2.80, $2.80/2=$1.40) reaches $1.40. Answer 1.40 (dollars)." } ] }