{ "paper": { "school": "MGS Paya Lebar", "year": 2024, "level": "P3", "label": "End of Year Exam", "source_prefix": "MGS Paya Lebar 2024 P3 End of Year Exam", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "In 5906, what does the digit 9 stand for?", "answer0": "9", "answer1": "90", "answer2": "900", "answer3": "9000", "correct_answer": 2, "skill_id": 66, "difficulty_id": 1, "explanation": "In 5906, the digit 9 is in the hundreds place, so it stands for 900.", "hints": ["Identify the place value of each digit.", "9 is the third digit from the right: the hundreds place."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (900)." }, { "n": 2, "type_id": 1, "question": "Express 8 km 60 m in metres.", "answer0": "806 m", "answer1": "860 m", "answer2": "8060 m", "answer3": "8600 m", "correct_answer": 2, "skill_id": 86, "difficulty_id": 2, "explanation": "8 km = 8000 m. 8000 m + 60 m = 8060 m.", "hints": ["1 km = 1000 m.", "Convert the km part, then add the leftover metres."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (8060 m)." }, { "n": 3, "type_id": 1, "question": "How many of the marked angles are right angles?", "answer0": "1", "answer1": "2", "answer2": "3", "answer3": "4", "correct_answer": 1, "skill_id": 99, "difficulty_id": 2, "explanation": "Checking each marked angle against a right angle, 2 of them are right angles.", "hints": ["A right angle is exactly a square-corner (90 degrees).", "Compare each marked angle to a corner of a piece of paper."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q3", "image_needed": true, "image_page": 3, "image_loc": "middle of page, below the question; an irregular polygon with several marked angles", "image_options": false, "image_file": "q3.png", "notes": "Key: option 2 (2). Figure shows a polygon with marked angles." }, { "n": 4, "type_id": 1, "question": "The bar graph shows the favourite sports of a group of children. Which is the most popular sport?", "answer0": "Soccer", "answer1": "Netball", "answer2": "Table Tennis", "answer3": "Floorball", "correct_answer": 3, "skill_id": 102, "difficulty_id": 1, "explanation": "Floorball has the tallest bar (28), so it is the most popular sport.", "hints": ["The most popular sport has the tallest bar.", "Read off the height of each bar."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q4", "image_needed": true, "image_page": 4, "image_loc": "top of page, below the question; bar graph titled 'Favourite Sports' (Soccer, Netball, Table Tennis, Floorball)", "image_options": false, "image_file": "q4.png", "notes": "Key: option 4 (Floorball)." }, { "n": 5, "type_id": 1, "question": "Mrs Tee left the supermarket at the time shown. She reached home 20 minutes later. At what time did she reach home?", "answer0": "14 35", "answer1": "14 55", "answer2": "15 35", "answer3": "15 55", "correct_answer": 1, "skill_id": 92, "difficulty_id": 2, "explanation": "The clock shows 2:35 (14 35). Adding 20 minutes gives 2:55 p.m. = 14 55.", "hints": ["Read the clock first, then add 20 minutes.", "The hour hand is between 2 and 3 and the minute hand points to 7 (35 min)."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q5", "image_needed": true, "image_page": 4, "image_loc": "middle/bottom of page, below the question; an analogue clock face", "image_options": false, "image_file": "q5.png", "notes": "Key: option 2 (14 55). Clock reads 2:35." }, { "n": 6, "type_id": 1, "question": "What is the missing number in the number pattern? 2076, 2086, 2096, [?], 2116, 2126", "answer0": "2006", "answer1": "2016", "answer2": "2106", "answer3": "2196", "correct_answer": 2, "skill_id": 69, "difficulty_id": 1, "explanation": "The pattern increases by 10 each time. 2096 + 10 = 2106.", "hints": ["Find the step between consecutive numbers.", "Each number is 10 more than the one before."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (2106). Pattern boxes rendered as text in stem." }, { "n": 7, "type_id": 1, "question": "Which of the following figures does not show 1/4 of the figure shaded?", "answer0": "Figure 1", "answer1": "Figure 2", "answer2": "Figure 3", "answer3": "Figure 4", "correct_answer": 3, "skill_id": 42, "difficulty_id": 2, "explanation": "Figures 1, 2 and 3 each have one quarter shaded; figure 4 (hexagon) has more than 1/4 shaded, so it does not show 1/4.", "hints": ["Count the shaded parts out of the total equal parts.", "1/4 means one out of four equal parts."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q7", "image_needed": true, "image_options": true, "image_page": 5, "image_loc": "four option figures arranged 2x2 below the question; opt1 triangle in square, opt2 4x3 grid, opt3 2x3 grid, opt4 hexagon", "image_file": null, "notes": "Key: option 4. Image-option MCQ: each option is a shaded figure. Crop q7_opt0.png..q7_opt3.png." }, { "n": 8, "type_id": 1, "question": "Randal has 114 pies. He wants to pack 9 pies into each box. What is the least number of boxes Randal needs to pack all the pies?", "answer0": "19", "answer1": "18", "answer2": "13", "answer3": "12", "correct_answer": 2, "skill_id": 76, "difficulty_id": 2, "explanation": "114 / 9 = 12 remainder 6. The leftover 6 pies need one more box, so 12 + 1 = 13 boxes.", "hints": ["Divide 114 by 9.", "Any remaining pies still need a whole box."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (13). Division with remainder, round up." }, { "n": 9, "type_id": 1, "question": "Mrs Ling took 35 min to walk from her house to the swimming pool. She arrived at the swimming pool at 3:45 pm. What time did Mrs Ling leave her house?", "answer0": "3:00 pm", "answer1": "3:10 pm", "answer2": "4:15 pm", "answer3": "4:20 pm", "correct_answer": 1, "skill_id": 92, "difficulty_id": 2, "explanation": "Working backwards from 3:45 pm by 35 minutes: 3:45 - 35 min = 3:10 pm.", "hints": ["Subtract the duration from the arrival time.", "3:45 minus 35 minutes."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 2 (3:10 pm). Decorative house/pool timeline icons only, not required." }, { "n": 10, "type_id": 1, "question": "Alex and Faye had some files each. Alex had 34 files. After Faye had given away 40 files, she had 18 files fewer than Alex. What was the number of files Faye had at first?", "answer0": "58", "answer1": "56", "answer2": "52", "answer3": "50", "correct_answer": 1, "skill_id": 71, "difficulty_id": 3, "explanation": "After giving away 40, Faye had 34 - 18 = 16 files. So at first she had 16 + 40 = 56 files.", "hints": ["First find how many files Faye had after giving some away.", "18 fewer than 34 is 16; then add back the 40 she gave away."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 2 (56)." }, { "n": 11, "type_id": 2, "question": "(a) Write eight thousand, three hundred and fifty-six in numerals. [?] (b) Using all four digits 1, 8, 3, 2, form the greatest 4-digit even number. [?]", "answer0": "8356", "answer1": "8312", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 67, "difficulty_id": 2, "explanation": "(a) Eight thousand, three hundred and fifty-six = 8356. (b) For the greatest even number from 1,8,3,2, the last digit must be even; using 2 as the units gives 8312.", "hints": ["(a) Thousands, hundreds, tens, ones in order.", "(b) An even number ends in an even digit; arrange the rest in descending order."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: a) 8356, b) 8312. Two-blank FIB; digit cards 1,8,3,2 given in stem text." }, { "n": 12, "type_id": 2, "question": "What is the mass of the watermelon? Give your answer in grams. [?]", "answer0": "3700", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 84, "difficulty_id": 2, "explanation": "The scale needle points between 3 and 4 kg at 3.7 kg = 3700 g.", "hints": ["Read the kg scale, then convert to grams.", "1 kg = 1000 g."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q12", "image_needed": true, "image_page": 8, "image_loc": "below the question; a watermelon on a kitchen weighing scale (dial reads in kg)", "image_options": false, "image_file": "q12.png", "notes": "Key: 3700g. Answer expressed in grams (unit g printed after blank)." }, { "n": 13, "type_id": 2, "question": "What is the missing number in the box? 4/5 = [?]/30", "answer0": "24", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 80, "difficulty_id": 2, "explanation": "5 x 6 = 30, so multiply the numerator by 6: 4 x 6 = 24.", "hints": ["What is 5 multiplied by to get 30?", "Multiply the numerator by the same factor."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 24. Equivalent fraction." }, { "n": 14, "type_id": 2, "question": "Doreen started her art lesson at 12 30. Her art lesson lasted for 1 h 15 min. What time did her art lesson end? [?]", "answer0": "1345", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 92, "difficulty_id": 2, "explanation": "12 30 + 1 h = 13 30; 13 30 + 15 min = 13 45.", "hints": ["Add the hours first, then the minutes.", "12 30 plus 1 hour 15 minutes."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 1345. Timeline bar and art-lesson icon are decorative; answer is a time value." }, { "n": 15, "type_id": 2, "question": "Name the three obtuse angles in the figure. [?], [?] and [?]", "answer0": "a", "answer1": "d", "answer2": "e", "answer3": null, "correct_answer": null, "skill_id": 99, "difficulty_id": 2, "explanation": "Angles a, d and e are each greater than a right angle (obtuse).", "hints": ["An obtuse angle is larger than a right angle (90 degrees).", "Compare each labelled angle to a square corner."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q15", "image_needed": true, "image_page": 9, "image_loc": "below the question; a five-sided figure with angles labelled a, b, c, d, e", "image_options": false, "image_file": "q15.png", "notes": "Key: a, d, e. Three-blank FIB; answers are angle labels (single letters, symbolic)." }, { "n": 16, "type_id": 2, "question": "A fan costs $23.10. A toy car costs $10.80 less than the fan. How much does the toy car cost? $[?]", "answer0": "12.30", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 83, "difficulty_id": 2, "explanation": "$23.10 - $10.80 = $12.30.", "hints": ["Subtract the smaller amount from the fan's price.", "Line up the decimal points before subtracting."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q16", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: $12.30. Fan/toy car/price-tag icons are decorative; price stated in stem." }, { "n": 17, "type_id": 2, "question": "At a carnival, there were 1527 boys and 2315 girls. How many children were there altogether at the carnival? [?]", "answer0": "3842", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 1, "explanation": "1527 + 2315 = 3842.", "hints": ["Add the boys and girls together.", "1527 + 2315."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q17", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 3842." }, { "n": 18, "type_id": 2, "question": "458 x A = 1B32. What do the digits A and B represent? A = [?], B = [?]", "answer0": "4", "answer1": "8", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 75, "difficulty_id": 3, "explanation": "458 x 4 = 1832, which matches the form 1B32 with B = 8. So A = 4 and B = 8.", "hints": ["Try single-digit values of A so that 458 x A gives a number of the form 1_32.", "458 x 4 = 1832."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q18", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: A=4, B=8. Long-multiplication layout (458 x A = 1B32) rendered inline in stem." }, { "n": 19, "type_id": 2, "question": "The bar graph shows the number of Primary 3 students who wear spectacles. (a) Which class has fewer girls than boys who wear spectacles? Class [?] (b) Which class has twice as many girls as boys who wear spectacles? Class [?]", "answer0": "3B", "answer1": "3C", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 2, "explanation": "(a) In Class 3B girls (7) are fewer than boys (10). (b) In Class 3C girls (12) are twice the boys (6).", "hints": ["Compare the girls' bar and boys' bar in each class.", "(b) Look for a class where the girls' bar is double the boys' bar."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q19", "image_needed": true, "image_page": 11, "image_loc": "top of page, below the question; bar graph 'Primary 3 Students Who Wear Spectacles' with Girls/Boys bars for Class 3A, 3B, 3C", "image_options": false, "image_file": "q19.png", "notes": "Key: a) 3B, b) 3C. Two-blank FIB." }, { "n": 20, "type_id": 2, "question": "Identify a pair of parallel lines for the figure. [?] // [?]", "answer0": "JQ", "answer1": "KL", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 100, "difficulty_id": 2, "explanation": "Lines JQ and KL run in the same direction and never meet, so JQ is parallel to KL.", "hints": ["Parallel lines stay the same distance apart and never meet.", "Look at the two vertical sides of the arrow's shaft."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q20", "image_needed": true, "image_page": 12, "image_loc": "top of page, below part (a); an arrow-shaped figure with points J, K, P, Q, L, M, O", "image_options": false, "image_file": "q20.png", "notes": "Key: a) JQ // KL. Part (b) 'draw a perpendicular line on the grid' is an interactive draw task and is SKIPPED; only part (a) captured here as FIB." }, { "n": 21, "type_id": 2, "question": "Ronald spent $12.75 on Monday and $4.65 on Tuesday. He had $36.70 left in his wallet at the end of Tuesday. How much money did Ronald have at first on Monday? $[?]", "answer0": "54.10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 83, "difficulty_id": 2, "explanation": "$12.75 + $4.65 + $36.70 = $54.10.", "hints": ["Add what he spent to what he had left.", "$12.75 + $4.65 + $36.70."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q21", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: $54.10." }, { "n": 22, "type_id": 2, "question": "Larry and Megan shared a piece of ribbon. Larry used 1/4 of the ribbon. Megan used 5/12 of the same ribbon. What fraction of the piece of ribbon did they use altogether? Express your answer in its simplest form. [?]", "answer0": "2/3", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 81, "difficulty_id": 2, "explanation": "1/4 = 3/12. 3/12 + 5/12 = 8/12 = 2/3.", "hints": ["Make the denominators the same (use twelfths).", "Add, then simplify the fraction."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q22", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 2/3." }, { "n": 23, "type_id": 2, "question": "Avery, Betty and Caylee made some cookies. Betty made 521 cookies. Avery made 380 more cookies than Betty. Caylee made 671 fewer cookies than Avery. (a) How many cookies did Avery make? [?] (b) How many cookies did Caylee make? [?]", "answer0": "901", "answer1": "230", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 2, "explanation": "(a) Avery = 521 + 380 = 901. (b) Caylee = 901 - 671 = 230.", "hints": ["(a) Add 380 to Betty's 521.", "(b) Subtract 671 from Avery's total."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q23", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: a) 901, b) 230. Two-blank FIB." }, { "n": 24, "type_id": 2, "question": "There are a total of 815 tables in Hall X, Hall Y and Hall Z. There are 7 fewer tables in Hall X than Hall Y. There are 4 times as many tables in Hall Z than Hall Y. How many tables are there in Hall Y? [?]", "answer0": "137", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "Let Hall Y = 1 unit. X = 1 unit - 7, Z = 4 units. Total = 6 units - 7 = 815, so 6 units = 822, Hall Y = 822 / 6 = 137.", "hints": ["Use units: Y = 1 unit, X = 1 unit minus 7, Z = 4 units.", "Add 7 back to 815, then divide by 6."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q24", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 137 (815 + 7 = 822; 822 / 6 = 137)." }, { "n": 25, "type_id": 2, "question": "Mrs Chan poured some soup from a pot into 8 similar bowls. Each bowl had a capacity of 260 ml. She had 1 l 70 ml of soup left in the pot. How much soup did Mrs Chan have in the pot at first? Give your answer in litres and millilitres. [?]", "answer0": "3 l 150 ml", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 3, "explanation": "8 x 260 ml = 2080 ml. 1 l 70 ml = 1070 ml. Total = 2080 + 1070 = 3150 ml = 3 l 150 ml.", "hints": ["Find the total in the bowls (8 x 260 ml), then add the leftover.", "1 l 70 ml = 1070 ml; 1000 ml = 1 l."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q25", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 3 litre 150 ml (3150 ml). Pot/8-bowls icons decorative; counts stated in stem." }, { "n": 26, "type_id": 2, "question": "Jasmine draws a figure. It is made up of 2 identical square A and 1 square B. The length of square B is 3 cm. (a) What is the perimeter of square B? [?] (b) What is the area of 1 square A? [?]", "answer0": "12 cm", "answer1": "81 cm2", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 97, "difficulty_id": 3, "explanation": "(a) Perimeter of B = 4 x 3 = 12 cm. (b) Total height 21 cm = side A + side B + side A = 2 x (side A) + 3, so 2 x side A = 18, side A = 9 cm. Area of A = 9 x 9 = 81 cm2.", "hints": ["(a) Perimeter of a square = 4 x side.", "(b) Use the 21 cm height: subtract square B's 3 cm, the rest splits over the two A squares."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q26", "image_needed": true, "image_page": 17, "image_loc": "below the question; two squares labelled A and one small square B in a staircase arrangement, with 3 cm and 21 cm dimension markings", "image_options": false, "image_file": "q26.png", "notes": "Key: a) 12 cm (3+3+3+3), b) 81 cm2 (9x9). Two-blank FIB." }, { "n": 27, "type_id": 2, "question": "A shop sells keychains at the prices shown. 1 keychain costs $5. 1 box of 4 keychains costs $13. Special Offer: Buy 2 boxes of keychains, get 1 keychain free! (a) Sally bought only 3 keychains. How much did she pay for them? $[?] (b) Eryn wants to buy 14 keychains. What is the least amount of money she needs to buy them? $[?]", "answer0": "15", "answer1": "44", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 83, "difficulty_id": 3, "explanation": "(a) 3 single keychains = 3 x $5 = $15. (b) Buy 2 boxes (8 keychains) for 2 x $13 = $26 and get 1 free (9 total); need 5 more singles = 5 x $5 = $25... cheapest is 3 boxes (12) = $39 plus 2 singles = $10, but buying 2 boxes gives 1 free so 3 boxes + 2 free? Least cost = 2 boxes ($26) + 1 free = 9, plus 1 more box ($13) = 13 keychains... add 1 single ($5) = 14 keychains for $26 + $13 + $5 = $44.", "hints": ["(a) Singles only: 3 x $5.", "(b) Use boxes (cheaper per keychain) and the free-keychain offer; top up with singles to reach 14."], "source": "MGS Paya Lebar 2024 P3 End of Year Exam Q27", "image_needed": true, "image_page": 18, "image_loc": "below the question; a dashed-border price notice with a single keychain, a box of 4 keychains, and the 'Special Offer' text", "image_options": false, "image_file": "q27.png", "notes": "Key: a) $15 (3x5), b) $44. Prices/offer stated in stem; figure is the price notice." } ] }