{ "paper": { "school": "Rosyth", "year": 2024, "level": "P3", "label": "End of Year Exam", "source_prefix": "Rosyth 2024 P3 End of Year Exam", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "In 7321, the digit 7 stands for [?].", "answer0": "7", "answer1": "70", "answer2": "700", "answer3": "7000", "correct_answer": 3, "skill_id": 66, "difficulty_id": 1, "explanation": "In 7321 the digit 7 is in the thousands place, so it stands for 7000.", "hints": ["Look at which place value the 7 sits in.", "From the right: ones, tens, hundreds, thousands."], "source": "Rosyth 2024 P3 End of Year Exam Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 2, "type_id": 1, "question": "What is the product of 4 and 214?", "answer0": "816", "answer1": "846", "answer2": "848", "answer3": "856", "correct_answer": 3, "skill_id": 75, "difficulty_id": 1, "explanation": "4 x 214 = 856.", "hints": ["Product means multiply.", "Multiply 214 by 4."], "source": "Rosyth 2024 P3 End of Year Exam Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 3, "type_id": 1, "question": "A strip of paper is divided into 12 equal parts. How many more parts must be shaded so that 1/2 of the paper is shaded?", "answer0": "5", "answer1": "6", "answer2": "3", "answer3": "4", "correct_answer": 3, "skill_id": 41, "difficulty_id": 2, "explanation": "1/2 of 12 parts = 6 parts. 2 parts are already shaded, so 6 - 2 = 4 more parts must be shaded.", "hints": ["Half of 12 parts is 6 parts.", "Count how many parts are already shaded, then subtract."], "source": "Rosyth 2024 P3 End of Year Exam Q3", "image_needed": true, "image_page": 3, "image_loc": "strip of 12 boxes below the question, first 2 boxes shaded", "image_options": false, "image_file": "q3.png", "notes": "Figure shows 2 of the 12 parts already shaded; required answer 4." }, { "n": 4, "type_id": 1, "question": "Which one of the following is the same as 6 m 25 cm?", "answer0": "625 cm", "answer1": "6025 cm", "answer2": "6250 cm", "answer3": "62 500 cm", "correct_answer": 0, "skill_id": 86, "difficulty_id": 2, "explanation": "6 m = 600 cm, so 6 m 25 cm = 600 + 25 = 625 cm.", "hints": ["1 m = 100 cm.", "Convert the metres to cm, then add the extra cm."], "source": "Rosyth 2024 P3 End of Year Exam Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 5, "type_id": 1, "question": "Complete the number pattern. 4852 , 4952 , [?] , 5152", "answer0": "5000", "answer1": "5052", "answer2": "5100", "answer3": "5252", "correct_answer": 1, "skill_id": 69, "difficulty_id": 1, "explanation": "The pattern increases by 100 each time: 4952 + 100 = 5052 (and 5052 + 100 = 5152).", "hints": ["Find the difference between consecutive numbers.", "Each number is 100 more than the one before."], "source": "Rosyth 2024 P3 End of Year Exam Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 6, "type_id": 1, "question": "The difference between two numbers is 158. The greater number is 419. What is the smaller number?", "answer0": "261", "answer1": "341", "answer2": "361", "answer3": "577", "correct_answer": 0, "skill_id": 71, "difficulty_id": 1, "explanation": "Smaller number = greater number - difference = 419 - 158 = 261.", "hints": ["Difference means subtract.", "Subtract 158 from the greater number 419."], "source": "Rosyth 2024 P3 End of Year Exam Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 7, "type_id": 1, "question": "Joel saved $2461. He saved $339 less than Raju. How much money did Raju save?", "answer0": "$2122", "answer1": "$2700", "answer2": "$2790", "answer3": "$2800", "correct_answer": 3, "skill_id": 71, "difficulty_id": 2, "explanation": "Joel saved $339 less than Raju, so Raju = 2461 + 339 = $2800.", "hints": ["Joel has less, so Raju has more.", "Add $339 to Joel's amount."], "source": "Rosyth 2024 P3 End of Year Exam Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 8, "type_id": 1, "question": "[?] + 1/2 = 3/4 What is the missing fraction?", "answer0": "1/4", "answer1": "2/4", "answer2": "2/2", "answer3": "6/8", "correct_answer": 0, "skill_id": 81, "difficulty_id": 2, "explanation": "1/2 = 2/4, so missing fraction = 3/4 - 2/4 = 1/4.", "hints": ["Make the fractions have the same denominator.", "1/2 is the same as 2/4."], "source": "Rosyth 2024 P3 End of Year Exam Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Option texts kept as text fractions; box drawn around the missing-fraction blank in the stem." }, { "n": 9, "type_id": 2, "question": "What is the smallest 4-digit odd number that can be formed using all the digits 5, 0, 2, 7? Each digit can only be used once.", "answer0": "2057", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 66, "difficulty_id": 3, "explanation": "For an odd number the last digit must be 5 or 7. To be smallest, put the smallest non-zero digit first (2), then 0, then arrange the rest: 2057 (ends in 7) is smaller than 2075. So 2057.", "hints": ["An odd number ends in an odd digit (5 or 7).", "Put the smallest non-zero digit in the thousands place; 0 cannot lead."], "source": "Rosyth 2024 P3 End of Year Exam Q9", "image_needed": true, "image_page": 6, "image_loc": "row of four digit cards (5, 0, 2, 7) below the question", "image_options": false, "image_file": "q9.png", "notes": "Digits given as cards; answer 2057." }, { "n": 10, "type_id": 2, "question": "Find the difference between 651 and 7040.", "answer0": "6389", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 70, "difficulty_id": 1, "explanation": "7040 - 651 = 6389.", "hints": ["Difference means subtract the smaller from the larger.", "7040 - 651."], "source": "Rosyth 2024 P3 End of Year Exam Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 11, "type_id": 2, "question": "Xiao Ling had a ribbon 4 m long. She cut the ribbon and gave away two pieces of ribbons each 75 cm long. What was the length of the remaining ribbon? Express your answer in m and cm. [?] m [?] cm", "answer0": "2", "answer1": "50", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 2, "explanation": "Two pieces = 2 x 75 cm = 150 cm. 4 m = 400 cm. 400 - 150 = 250 cm = 2 m 50 cm.", "hints": ["1 m = 100 cm; convert 4 m to cm.", "Subtract the total given away (2 x 75 cm)."], "source": "Rosyth 2024 P3 End of Year Exam Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two blanks: m and cm." }, { "n": 12, "type_id": 2, "question": "Count and write the correct amount of money. Ans: $ [?]", "answer0": "113.15", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 82, "difficulty_id": 2, "explanation": "$50 + $10 + $50 + $2 = $112; plus $1 + 10c + 5c = $1.15. Total = $113.15.", "hints": ["Add the notes first, then the coins.", "10c + 5c = 15c."], "source": "Rosyth 2024 P3 End of Year Exam Q12", "image_needed": true, "image_page": 7, "image_loc": "money figure below the question: two $50 notes, a $10 note, a $2 note, a $1 coin, a 10c coin and a 5c coin", "image_options": false, "image_file": "q12.png", "notes": "Notes/coins shown: $50, $10, $50, $2, $1, 10c, 5c; required total $113.15." }, { "n": 13, "type_id": 2, "question": "The figure is made up of 2 identical rectangles. Find the perimeter of the figure.", "answer0": "64", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 96, "difficulty_id": 3, "explanation": "Each rectangle is 15 cm by 4 cm. Going around the L-shaped figure: total horizontal length = 15 + 9 = 24 doubled, and verticals add up; perimeter = 15 + 15 + 4 + 4 + 9 + 9 + 4 + 4 = 64 cm.", "hints": ["The two rectangles overlap to form an L-shape.", "Add up the lengths of all the outer sides."], "source": "Rosyth 2024 P3 End of Year Exam Q13", "image_needed": true, "image_page": 7, "image_loc": "two overlapping rectangles below the question; labelled 15 cm (top), 4 cm (left height), 9 cm (right)", "image_options": false, "image_file": "q13.png", "notes": "Perimeter 64 cm per answer key." }, { "n": 14, "type_id": 2, "question": "The bar graph shows the number of footballs sold in a shop from Monday to Friday. Each football was sold for $9. How much more money did the shop collect on Tuesday compared to Monday? Ans: $ [?]", "answer0": "144", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 3, "explanation": "From the graph: Tuesday = 34, Monday = 18. (34 - 18) x $9 = 16 x $9 = $144.", "hints": ["Read the bars for Monday and Tuesday.", "Find the difference in footballs, then multiply by $9."], "source": "Rosyth 2024 P3 End of Year Exam Q14", "image_needed": true, "image_page": 8, "image_loc": "horizontal bar graph below the question (Monday-Friday on y-axis, Number of Footballs Sold 0-60 on x-axis)", "image_options": false, "image_file": "q14.png", "notes": "Key working: Tuesday 34, Monday 18; 16 x 9 = 144." }, { "n": 15, "type_id": 2, "question": "The graph shows the number of students who wear spectacles and students who do not wear spectacles. Find the total number of students who wear spectacles in the three classes.", "answer0": "47", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 2, "explanation": "Students wearing spectacles: Class A 24, Class B 8, Class C 15. Total = 24 + 8 + 15 = 47.", "hints": ["Read only the 'wearing spectacles' bars (the hatched ones).", "Add the three values together."], "source": "Rosyth 2024 P3 End of Year Exam Q15", "image_needed": true, "image_page": 9, "image_loc": "vertical bar graph below the question with paired bars for Class A, B, C and a legend (wearing / not wearing spectacles)", "image_options": false, "image_file": "q15.png", "notes": "Key working: 24 + 8 + 15 = 47 (wearing-spectacles bars)." }, { "n": 16, "type_id": 2, "question": "Samy left his school at 2.45 p.m. He needed 42 minutes to travel from his school to his home. What time did he reach home? Express your answer in 24-hour clock.", "answer0": "1527", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 93, "difficulty_id": 2, "explanation": "2.45 p.m. + 42 min = 3.27 p.m. In 24-hour clock that is 1527.", "hints": ["Add 42 minutes to 2.45 p.m.", "For p.m. times, add 12 hours to convert to 24-hour clock."], "source": "Rosyth 2024 P3 End of Year Exam Q16", "image_needed": false, "image_options": false, "image_file": null, "notes": "Note: this is a P4-level 24-hour clock skill (134); mapped to nearest P3 time skill 93." }, { "n": 17, "type_id": 2, "question": "Siti and Mary scored the same number of points in a game at first. Then, Siti won 256 more points and Mary lost 16 points. How many more points did Siti have than Mary in the end?", "answer0": "272", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 2, "explanation": "Starting equal, Siti gained 256 and Mary lost 16, so the gap = 256 + 16 = 272 points.", "hints": ["They started with the same score, so ignore the starting amount.", "Add Siti's gain to Mary's loss."], "source": "Rosyth 2024 P3 End of Year Exam Q17", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 18, "type_id": 2, "question": "Mei Ling, Sarah and Diya had 270 beads. Mei Ling had 3 times as many beads as Sarah. Diya had twice as many beads as Sarah. How many beads did Diya have?", "answer0": "90", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "Sarah = 1 unit, Mei Ling = 3 units, Diya = 2 units; total = 6 units = 270, so 1 unit = 45. Diya = 2 x 45 = 90.", "hints": ["Let Sarah be 1 unit; write the others in units.", "Add the units (1 + 3 + 2 = 6) and divide 270 by the total."], "source": "Rosyth 2024 P3 End of Year Exam Q18", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 270 / 6 = 45; 45 x 2 = 90." }, { "n": 19, "type_id": 2, "question": "Mr Tan puts some sticks at equal distance on a straight line. The distance between the 1st and 5th stick is 20 m. a) What is the distance between the 1st and 2nd stick? b) The total distance between the 1st stick and the last stick is 40 m. How many sticks are there altogether? Ans: a) [?] m b) [?] sticks", "answer0": "5", "answer1": "9", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "a) Between 1st and 5th stick there are 4 equal gaps: 20 / 4 = 5 m. b) 40 m / 5 m = 8 gaps, so 8 + 1 = 9 sticks.", "hints": ["From the 1st to the 5th stick there are 4 gaps, not 5.", "Number of sticks = number of gaps + 1."], "source": "Rosyth 2024 P3 End of Year Exam Q19", "image_needed": true, "image_page": 11, "image_loc": "diagram of evenly spaced vertical sticks on a line, labelled 1st, 5th and last stick, below the question", "image_options": false, "image_file": "q19.png", "notes": "Two parts combined into one FIB: a) 5 m, b) 9 sticks." }, { "n": 20, "type_id": 2, "question": "Arrange the fractions 1/2 , 5/9 , 2/3 in order. Begin with the greatest fraction. [?] , [?] , [?]", "answer0": "2/3", "answer1": "5/9", "answer2": "1/2", "answer3": null, "correct_answer": null, "skill_id": 79, "difficulty_id": 3, "explanation": "Common denominator 18: 1/2 = 9/18, 5/9 = 10/18, 2/3 = 12/18. Greatest to smallest: 2/3, 5/9, 1/2.", "hints": ["Convert all to a common denominator (18 works).", "Then compare the numerators, largest first."], "source": "Rosyth 2024 P3 End of Year Exam Q20", "image_needed": false, "image_options": false, "image_file": null, "notes": "Ordering task as FIB, greatest first." }, { "n": 21, "type_id": 2, "question": "In the figure, how many of the marked angles are greater than a right angle?", "answer0": "2", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 99, "difficulty_id": 2, "explanation": "Comparing each marked angle to a right angle, 2 of the marked angles are greater than a right angle.", "hints": ["A right angle is a square-corner (90 degrees).", "Count only the angles that open wider than a right angle."], "source": "Rosyth 2024 P3 End of Year Exam Q21", "image_needed": true, "image_page": 12, "image_loc": "irregular polygon with several marked (arced) angles, below the question", "image_options": false, "image_file": "q21.png", "notes": "Answer key: 2." }, { "n": 22, "type_id": 2, "question": "Study the figure in the square grid. a) Identify and name a pair of perpendicular lines. b) Identify and name a pair of parallel lines. Ans: a) [?] perpendicular to [?] b) [?] parallel to [?]", "answer0": "CD", "answer1": "CF", "answer2": "BF", "answer3": "CD", "correct_answer": null, "skill_id": 100, "difficulty_id": 3, "explanation": "On the grid, CD is perpendicular to CF, and BF is parallel to CD.", "hints": ["Perpendicular lines meet at a right angle.", "Parallel lines run in the same direction and never meet."], "source": "Rosyth 2024 P3 End of Year Exam Q22", "image_needed": true, "image_page": 12, "image_loc": "figure of joined line segments A-B-C-D-E-F drawn on a square grid, below the question", "image_options": false, "image_file": "q22.png", "notes": "Key: a) CD and CF (perpendicular); b) BF // CD (parallel). Four blanks: answer0 perp answer1, answer2 parallel answer3." }, { "n": 23, "type_id": 2, "question": "Each wooden block is of equal mass. The mass of 6 blocks is 852 g. Find the mass of the jar.", "answer0": "568", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 3, "explanation": "One block = 852 / 6 = 142 g. The balance shows a jar plus 2 blocks on one side equal to 4 blocks on the other (jar = 4 blocks - 2 blocks = ... ). Jar + 2 blocks balance with the rest: jar = 852 - (2 x 142) ... per key: 852 / 6 = 142, 142 x 2 = 284, 852 - 284 = 568 g.", "hints": ["First find the mass of one block: 852 / 6.", "Use the balance: the jar plus its blocks equals the blocks on the other pan."], "source": "Rosyth 2024 P3 End of Year Exam Q23", "image_needed": true, "image_page": 13, "image_loc": "balance/see-saw figure: jar with 2 blocks on the left pan, blocks totalling 852 g on the right pan, below the question", "image_options": false, "image_file": "q23.png", "notes": "Key working: 852/6=142, 142x2=284, 852-284=568. Jar mass 568 g." }, { "n": 24, "type_id": 2, "question": "Figure 1 is a rectangle and Figure 2 is a square. The perimeter of the rectangle is the same as the perimeter of the square. The length of the square is 8 cm. Find the length of the rectangle given that the breadth is 6 cm.", "answer0": "10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 96, "difficulty_id": 3, "explanation": "Square perimeter = 8 x 4 = 32 cm. Rectangle perimeter = 32 cm, so length + breadth = 16; length = 16 - 6 = 10 cm.", "hints": ["Find the perimeter of the square first (4 sides).", "Rectangle perimeter = 2 x (length + breadth)."], "source": "Rosyth 2024 P3 End of Year Exam Q24", "image_needed": true, "image_page": 14, "image_loc": "Figure 1 rectangle (6 cm height, ? base) and Figure 2 square (8 cm), below the question", "image_options": false, "image_file": "q24.png", "notes": "Key working: 8x4=32, 32-12=20, 20/2=10. Length 10 cm." }, { "n": 25, "type_id": 2, "question": "Uncle Tom bought some books. He packed 8 books in each box and found that he had 6 books left. There were 240 boxes altogether. a) How many books did he buy? b) He sold each box of books for $9 and the remaining books at $2 each. How much did he receive altogether? Ans: a) [?] b) $ [?]", "answer0": "1926", "answer1": "2172", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "a) 240 x 8 = 1920 books in boxes, + 6 left over = 1926 books. b) 240 boxes x $9 = $2160; 6 books x $2 = $12; total = $2172.", "hints": ["a) Multiply books per box by number of boxes, then add the leftover.", "b) Charge per box for the 240 boxes and per book for the 6 leftovers."], "source": "Rosyth 2024 P3 End of Year Exam Q25", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two parts: a) 1926 books; b) $2172." }, { "n": 26, "type_id": 2, "question": "Aminah had some beads. She used 209 beads to make a necklace. Her mother bought her another 350 beads. She had 632 beads in the end. How many beads did Aminah have at first?", "answer0": "491", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 3, "explanation": "Work backwards: before getting 350 she had 632 - 350 = 282; before using 209 she had 282 + 209 = 491 beads.", "hints": ["Work backwards from the 632 she had in the end.", "Undo the +350 first, then undo the -209."], "source": "Rosyth 2024 P3 End of Year Exam Q26", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key working: 632-350=282, 282+209=491." } ] }