{ "paper": { "school": "Pei Hwa Presbyterian Primary School", "year": 2024, "level": "P3", "label": "Weighted Assessment 3", "source_prefix": "Pei Hwa 2024 P3 Weighted Assessment 3", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "What fraction of the figure is shaded?", "answer0": "1/2", "answer1": "2/3", "answer2": "2/5", "answer3": "3/5", "correct_answer": 2, "skill_id": 77, "difficulty_id": 1, "explanation": "The figure is a 2-by-5 grid of 10 equal parts; 4 parts are shaded, so the shaded fraction is 4/10 = 2/5.", "hints": ["Count the total number of equal parts.", "Count the shaded parts, then simplify the fraction."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q1", "image_needed": true, "image_options": false, "image_page": 1, "image_loc": "below the question, upper-left area of the page", "image_bbox": [0.19, 0.52, 0.40, 0.61], "image_file": "q1.png", "notes": "Key option 3 = 2/5. Grid shows 4 of 10 cells shaded." }, { "n": 2, "type_id": 1, "question": "Which of the following is an equivalent fraction of 3/4 ?", "answer0": "5/6", "answer1": "9/10", "answer2": "11/12", "answer3": "15/20", "correct_answer": 3, "skill_id": 77, "difficulty_id": 1, "explanation": "Multiply numerator and denominator of 3/4 by 5: (3x5)/(4x5) = 15/20.", "hints": ["An equivalent fraction is made by multiplying top and bottom by the same number.", "Check which option simplifies back to 3/4."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q2", "image_needed": false, "image_options": false, "image_page": null, "image_loc": null, "image_bbox": null, "image_file": null, "notes": "Key option 4 = 15/20." }, { "n": 3, "type_id": 1, "question": "What is the mass of the bunch of bananas?", "answer0": "1 kg 2 g", "answer1": "1 kg 12 g", "answer2": "1 kg 20 g", "answer3": "1 kg 200 g", "correct_answer": 3, "skill_id": 85, "difficulty_id": 2, "explanation": "The scale needle points one big mark plus one fifth past 1 kg toward 2 kg. Each kilogram is divided into 5 parts of 200 g, so the reading is 1 kg 200 g.", "hints": ["Read where the needle points on the dial.", "Work out how many grams each small marking stands for."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q3", "image_needed": true, "image_options": false, "image_page": 2, "image_loc": "middle of the page, weighing scale with bananas on top", "image_bbox": [0.20, 0.43, 0.46, 0.66], "image_file": "q3.png", "notes": "Key option 4 = 1 kg 200 g. Kitchen weighing-scale dial figure." }, { "n": 4, "type_id": 1, "question": "Which figure has perpendicular lines?", "answer0": "Figure 1", "answer1": "Figure 2", "answer2": "Figure 3", "answer3": "Figure 4", "correct_answer": 0, "skill_id": 100, "difficulty_id": 2, "explanation": "Perpendicular lines meet at a right angle (90 degrees). Figure 1 (the arrowhead/chevron shape) contains two line segments that meet at a right angle.", "hints": ["Perpendicular lines meet to form a right angle.", "Look for a square-corner where two lines cross or meet."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q4", "image_needed": true, "image_options": true, "image_page": 3, "image_loc": "upper half of the page, four labelled figures (1) and (2) on top row, (3) and (4) on lower row", "image_bbox": [0.16, 0.18, 0.72, 0.45], "image_file": "q4.png", "notes": "Key option 1 = the chevron/arrowhead figure. Options are pictures; crop each option to q4_opt0..3.png." }, { "n": 5, "type_id": 1, "question": "Which of the following fractions is the greatest?", "answer0": "1/3", "answer1": "2/5", "answer2": "5/9", "answer3": "9/10", "correct_answer": 3, "skill_id": 79, "difficulty_id": 2, "explanation": "9/10 = 0.9 is the closest to 1. 1/3 = 0.33, 2/5 = 0.4, 5/9 = 0.56, so 9/10 is the greatest.", "hints": ["Compare each fraction to one half.", "9/10 is almost a whole."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q5", "image_needed": false, "image_options": false, "image_page": null, "image_loc": null, "image_bbox": null, "image_file": null, "notes": "Key option 4 = 9/10." }, { "n": 6, "type_id": 1, "question": "Add the fractions. Express your answer in its simplest form. 5/12 + 1/4 =", "answer0": "1/3", "answer1": "2/3", "answer2": "3/8", "answer3": "5/16", "correct_answer": 1, "skill_id": 81, "difficulty_id": 2, "explanation": "Make the denominators the same: 1/4 = 3/12. Then 5/12 + 3/12 = 8/12 = 2/3 in simplest form.", "hints": ["Change 1/4 into twelfths.", "Add, then simplify by dividing top and bottom by 4."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q6", "image_needed": false, "image_options": false, "image_page": null, "image_loc": null, "image_bbox": null, "image_file": null, "notes": "Key option 2 = 2/3." }, { "n": 7, "type_id": 1, "question": "The volume of 1 bottle of juice is 1 l. The volume of 1 carton of milk is 320 ml. Willy bought 1 bottle of juice and 2 cartons of milk. What was the total volume of the items bought?", "answer0": "1320 ml", "answer1": "1640 ml", "answer2": "2320 ml", "answer3": "2640 ml", "correct_answer": 1, "skill_id": 87, "difficulty_id": 2, "explanation": "1 l = 1000 ml. Two cartons of milk = 2 x 320 ml = 640 ml. Total = 1000 ml + 640 ml = 1640 ml.", "hints": ["Convert 1 litre to millilitres first.", "Double the milk volume, then add the juice."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q7", "image_needed": false, "image_options": false, "image_page": null, "image_loc": null, "image_bbox": null, "image_file": null, "notes": "Key option 2 = 1640 ml. Decorative juice/milk pictures only; volumes are given in the text so no figure required." }, { "n": 8, "type_id": 1, "question": "Study the map. Jack needs to travel from Point B to Point D. What is the shortest distance he can travel to reach Point D?", "answer0": "1 km 725 m", "answer1": "2 km 305 m", "answer2": "2 km 315 m", "answer3": "2 km 488 m", "correct_answer": 1, "skill_id": 87, "difficulty_id": 3, "explanation": "From B the possible routes to D are: B-E-D = 580 + 1725 = 2305 m; B-A-D = 340 + 1975 = 2315 m; B-C-D = 627 + 1861 = 2488 m. The shortest is 2305 m = 2 km 305 m.", "hints": ["List every path from B to D and add the distances along each.", "Compare the totals and pick the smallest; 1000 m = 1 km."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q8", "image_needed": true, "image_options": false, "image_page": 5, "image_loc": "middle of the page, map with points A, B, C, D, E and labelled distances", "image_bbox": [0.17, 0.21, 0.60, 0.47], "image_file": "q8.png", "notes": "Key option 2 = 2 km 305 m. Distances on map: D-C 1861 m, D-E 1725 m, D-A 1975 m, E-B 580 m, A-B 340 m, C-B 627 m." }, { "n": 9, "type_id": 1, "question": "Compare the fraction using '<' or '>'. 4/5 [?] 7/10", "answer0": "<", "answer1": ">", "answer2": null, "answer3": null, "correct_answer": 1, "skill_id": 79, "difficulty_id": 1, "explanation": "Make the denominators the same: 4/5 = 8/10. Since 8/10 > 7/10, we have 4/5 > 7/10.", "hints": ["Change 4/5 into tenths.", "Compare the numerators once the denominators match."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q9", "image_needed": false, "image_options": false, "image_page": null, "image_loc": null, "image_bbox": null, "image_file": null, "notes": "Key = '>'. Answer is a comparison symbol (word/symbol choice), rendered as 2-option MCQ." }, { "n": 10, "type_id": 2, "question": "In the number line, what is the fraction represented by X?", "answer0": "5/6", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 42, "difficulty_id": 2, "explanation": "The line from 0 to 1 is divided into 6 equal parts. X is at the 5th mark, so X = 5/6.", "hints": ["Count how many equal parts lie between 0 and 1.", "Count which mark X sits on from 0."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q10", "image_needed": true, "image_options": false, "image_page": 6, "image_loc": "middle of the page, horizontal number line marked 0, 1/2, X and 1", "image_bbox": [0.19, 0.47, 0.72, 0.58], "image_file": "q10.png", "notes": "Key = 5/6. Number line 0 to 1 split into sixths; X at fifth mark." }, { "n": 11, "type_id": 2, "question": "Express 2 m 9 cm in centimetres.", "answer0": "209", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 86, "difficulty_id": 1, "explanation": "1 m = 100 cm, so 2 m = 200 cm. 200 cm + 9 cm = 209 cm.", "hints": ["1 metre equals 100 centimetres.", "Convert the metres first, then add the extra centimetres."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q11", "image_needed": false, "image_options": false, "image_page": null, "image_loc": null, "image_bbox": null, "image_file": null, "notes": "Key = 209 cm. Answer blank already labelled 'cm' on the paper, so blank value is 209." }, { "n": 12, "type_id": 2, "question": "5/8 - 1/2 =", "answer0": "1/8", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 81, "difficulty_id": 1, "explanation": "Make the denominators the same: 1/2 = 4/8. Then 5/8 - 4/8 = 1/8.", "hints": ["Change 1/2 into eighths.", "Subtract the numerators once the denominators match."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q12", "image_needed": false, "image_options": false, "image_page": null, "image_loc": null, "image_bbox": null, "image_file": null, "notes": "Key = 1/8." }, { "n": 13, "type_id": 2, "question": "Arrange the following fractions in order. Begin with the greatest. 3/4, 3/7, 3/5", "answer0": "3/4", "answer1": "3/5", "answer2": "3/7", "answer3": null, "correct_answer": null, "skill_id": 79, "difficulty_id": 2, "explanation": "When the numerators are the same, the fraction with the smaller denominator is larger. Denominators 4 < 5 < 7, so 3/4 > 3/5 > 3/7.", "hints": ["The numerators are all 3, so compare the denominators.", "A smaller denominator means a larger fraction."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q13", "image_needed": false, "image_options": false, "image_page": null, "image_loc": null, "image_bbox": null, "image_file": null, "notes": "Key order greatest first = 3/4, 3/5, 3/7. Ordering task rendered as 3-blank FIB." }, { "n": 14, "type_id": 2, "question": "The figure shows some water in a jug. Find the total amount of water in 3 similar jugs with the same amount of water. [?] l [?] ml", "answer0": "1", "answer1": "350", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 2, "explanation": "The jug shows 450 ml. Three jugs hold 3 x 450 ml = 1350 ml = 1 l 350 ml.", "hints": ["Read the water level on the measuring jug.", "Multiply by 3, then convert to litres and millilitres (1000 ml = 1 l)."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q14", "image_needed": true, "image_options": false, "image_page": 7, "image_loc": "lower-middle of the page, measuring jug graduated 100-500 ml", "image_bbox": [0.20, 0.59, 0.44, 0.78], "image_file": "q14.png", "notes": "Key = 1 L 350 ml (450 ml x 3 = 1350 ml). Answer split into two blanks: litres then ml. Jug reads 450 ml." }, { "n": 15, "type_id": 1, "question": "Look at the picture. Name 2 vertical lines from the picture.", "answer0": "AC and BD", "answer1": "AB and CD", "answer2": "AB and EF", "answer3": "EF and GH", "correct_answer": 0, "skill_id": 100, "difficulty_id": 2, "explanation": "Vertical lines run straight up and down. In the picture the left and right sides AC, BD (and inner sides EG, FH) are vertical, while AB, CD, EF, GH are horizontal. AC and BD are a valid pair of vertical lines.", "hints": ["Vertical lines go straight up and down, not across.", "Look at the left and right edges of the frame."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q15", "image_needed": true, "image_options": false, "image_page": 8, "image_loc": "lower half of the page, framed picture of a figure with corners A,B,C,D and inner corners E,F,G,H", "image_bbox": [0.27, 0.50, 0.79, 0.74], "image_file": "q15.png", "notes": "Part (a) draw-a-parallel-line is interactive and omitted. Part (b) key = AC / BD / EG / FH (any 2). Rendered as MCQ; only option0 (AC and BD) lists two genuinely vertical lines, distractors mix in horizontal lines." }, { "n": 16, "type_id": 2, "question": "Elsa walked 1240 m from her home to the school. She used the other path to return home from school. Find the difference in the distance travelled to and back from school.", "answer0": "350", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 2, "explanation": "Going to school she walked 1240 m; the return path is 890 m. The difference is 1240 m - 890 m = 350 m.", "hints": ["The two paths are 1240 m and 890 m.", "'Difference' means subtract the shorter from the longer."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q16", "image_needed": true, "image_options": false, "image_page": 9, "image_loc": "upper-middle of the page, diagram of home and school joined by an upper path (1240 m) and lower path (890 m)", "image_bbox": [0.16, 0.27, 0.87, 0.40], "image_file": "q16.png", "notes": "Key = 350 m (1240 - 890). Answer blank labelled 'm', so blank value is 350. Diagram supplies the 890 m return path." }, { "n": 17, "type_id": 2, "question": "Bala is 163 cm. He is 15 cm taller than Lisa. (a) What is Lisa's height? (b) What is the total height of Bala and Lisa? Give your answer in metres and centimetres. (a) [?] cm (b) [?] m [?] cm", "answer0": "148", "answer1": "3", "answer2": "11", "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 2, "explanation": "(a) Bala is 15 cm taller than Lisa, so Lisa = 163 - 15 = 148 cm. (b) Total = 148 + 163 = 311 cm = 3 m 11 cm.", "hints": ["'15 cm taller than Lisa' means subtract 15 from Bala's height for Lisa.", "Add both heights, then convert (100 cm = 1 m)."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q17", "image_needed": false, "image_options": false, "image_page": null, "image_loc": null, "image_bbox": null, "image_file": null, "notes": "Key (a) 148 cm; (b) 3 m 11 cm. Three blanks: Lisa's height in cm, then total m and cm." }, { "n": 18, "type_id": 2, "question": "A sack with 7 similar balls has a mass of 1500 g. The mass of the sack is 576 g. Find the mass of 1 ball.", "answer0": "132", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "The 7 balls together weigh 1500 g - 576 g = 924 g. Each ball is 924 / 7 = 132 g.", "hints": ["First subtract the sack's mass to get the mass of the 7 balls.", "Then divide by 7 to find one ball."], "source": "Pei Hwa 2024 P3 Weighted Assessment 3 Q18", "image_needed": false, "image_options": false, "image_page": null, "image_loc": null, "image_bbox": null, "image_file": null, "notes": "Key = 132 g. NOTE: the printed key shows '1500 - 576 = 927; 927 / 7 = 132'; 1500 - 576 actually = 924, and 924 / 7 = 132 exactly (the key's 927 is a typo, but the final answer 132 g is correct)." } ] }