{ "paper": { "school": "Pei Hwa Presbyterian Primary School", "year": 2024, "level": "P3", "label": "Weighted Assessment 2", "source_prefix": "Pei Hwa 2024 P3 Weighted Assessment 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "Which of the following has the same value as 5 x 7?", "answer0": "57", "answer1": "5 + 7", "answer2": "7 x 7 x 7 x 7 x 7", "answer3": "5 + 5 + 5 + 5 + 5 + 5 + 5", "correct_answer": 3, "skill_id": 73, "difficulty_id": 1, "explanation": "5 x 7 means 7 groups of 5, i.e. 5 added seven times: 5 + 5 + 5 + 5 + 5 + 5 + 5 = 35. Option (4) matches.", "hints": ["Multiplication is repeated addition.", "5 x 7 = seven 5s added together."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 4." }, { "n": 2, "type_id": 1, "question": "Divide 48 by 8.", "answer0": "6", "answer1": "7", "answer2": "8", "answer3": "9", "correct_answer": 0, "skill_id": 73, "difficulty_id": 1, "explanation": "48 ÷ 8 = 6, because 6 x 8 = 48. Option (1).", "hints": ["Think: how many 8s make 48?", "8 x 6 = 48."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 1." }, { "n": 3, "type_id": 1, "question": "The table shows the number of boys and girls in each team. Which team has the most number of boys?", "answer0": "A", "answer1": "B", "answer2": "C", "answer3": "D", "correct_answer": 1, "skill_id": 102, "difficulty_id": 1, "explanation": "Reading the Boys bars: A about 17, B about 18.5, C about 16.5, D about 14.5. Team B has the tallest Boys bar, so B has the most boys. Option (2).", "hints": ["Look only at the Boys bars.", "Find the tallest Boys bar."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q3", "image_needed": true, "image_page": 2, "image_loc": "top of page, grouped vertical bar graph of Girls/Boys for teams A-D", "image_bbox": [0.18, 0.13, 0.83, 0.42], "image_options": false, "image_file": "q3.png", "notes": "Key: option 2 (B). Shared graph with Q4." }, { "n": 4, "type_id": 1, "question": "The table shows the number of boys and girls in each team. Which team has more girls than boys?", "answer0": "A", "answer1": "B", "answer2": "C", "answer3": "D", "correct_answer": 3, "skill_id": 102, "difficulty_id": 2, "explanation": "Compare each team's Girls bar against its Boys bar. Per the answer key the team where Girls exceed Boys is D. Option (4).", "hints": ["Compare the Girls bar with the Boys bar within the same team.", "Find where Girls is taller than Boys."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q4", "image_needed": true, "image_page": 2, "image_loc": "top of page, grouped vertical bar graph of Girls/Boys for teams A-D", "image_bbox": [0.18, 0.13, 0.83, 0.42], "image_options": false, "image_file": "q4.png", "notes": "Key: option 4 (D). Shared graph with Q3." }, { "n": 5, "type_id": 1, "question": "Which of the following marked angles is an obtuse angle?", "answer0": "Angle 1", "answer1": "Angle 2", "answer2": "Angle 3", "answer3": "Angle 4", "correct_answer": 1, "skill_id": 99, "difficulty_id": 2, "explanation": "An obtuse angle is greater than a right angle (90 degrees) but less than 180 degrees. Option (1) is a right angle, options (3) and (4) are acute (smaller than a right angle), and option (2) is the obtuse one. Option (2).", "hints": ["An obtuse angle is bigger than a right angle but less than a straight line.", "Reject the right angle and the small (acute) angles."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q5", "image_needed": true, "image_options": true, "image_page": 3, "image_loc": "four labelled angle diagrams (1)-(4) stacked down the page", "image_bbox": [0.16, 0.12, 0.45, 0.86], "image_file": "q5.png", "notes": "Key: option 2. Options are angle pictures; crop each to q5_opt0..3.png. Stem strips directional wording." }, { "n": 6, "type_id": 1, "question": "How many children were there in total on Tuesday and Thursday?", "answer0": "40", "answer1": "85", "answer2": "100", "answer3": "125", "correct_answer": 3, "skill_id": 104, "difficulty_id": 2, "explanation": "From the children bar graph: Tuesday = 85, Thursday = 40. Total = 85 + 40 = 125. Option (4).", "hints": ["Read the children bar for Tuesday and for Thursday.", "Add the two values."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q6", "image_needed": true, "image_page": 4, "image_loc": "two bar graphs on this page (children vertical, adults horizontal) for Tue-Fri", "image_bbox": [0.10, 0.18, 0.82, 0.80], "image_options": false, "image_file": "q6.png", "notes": "Key: option 4. Graphs shared with Q7; adults scale not shown." }, { "n": 7, "type_id": 1, "question": "On Wednesday, the number of children was the same as the number of adults. How many adults were there on Friday?", "answer0": "20", "answer1": "30", "answer2": "40", "answer3": "60", "correct_answer": 0, "skill_id": 104, "difficulty_id": 3, "explanation": "Wednesday children = 60, so Wednesday adults = 60. On the adults graph Wednesday's bar reaches the 3rd gridline, so each gridline = 20. Friday's adults bar reaches the 1st gridline = 20 adults. Option (1).", "hints": ["Use Wednesday to work out the value of one gridline on the adults graph.", "Wednesday children = Wednesday adults gives you the scale."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q7", "image_needed": true, "image_page": 4, "image_loc": "two bar graphs on this page (children vertical, adults horizontal) for Tue-Fri", "image_bbox": [0.10, 0.18, 0.82, 0.80], "image_options": false, "image_file": "q7.png", "notes": "Key: option 1 (20). Graphs shared with Q6; adults scale unlabelled, derive from Wednesday." }, { "n": 8, "type_id": 1, "question": "[?] ÷ 7 = 13 R 4\nWhat is the missing number in the box?", "answer0": "41", "answer1": "87", "answer2": "95", "answer3": "119", "correct_answer": 2, "skill_id": 74, "difficulty_id": 2, "explanation": "Missing number = quotient x divisor + remainder = 13 x 7 + 4 = 91 + 4 = 95. Option (3).", "hints": ["Dividend = quotient x divisor + remainder.", "13 x 7 = 91, then add the remainder 4."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (95)." }, { "n": 9, "type_id": 1, "question": "There are 36 clips in a bag. Jason has 6 such bags. He repacks them into 3 equal boxes. How many clips are there in each box?", "answer0": "12", "answer1": "18", "answer2": "62", "answer3": "72", "correct_answer": 3, "skill_id": 76, "difficulty_id": 2, "explanation": "Total clips = 36 x 6 = 216. Repacked into 3 equal boxes: 216 ÷ 3 = 72 clips per box. Option (4).", "hints": ["First find the total number of clips.", "Then divide the total equally among 3 boxes."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 4 (72)." }, { "n": 10, "type_id": 1, "question": "Sarah had 720 beads at first. She gave an equal number of beads to each of her 4 friends and had 24 beads left. How many beads did Sarah give to each friend?", "answer0": "204", "answer1": "180", "answer2": "174", "answer3": "156", "correct_answer": 2, "skill_id": 76, "difficulty_id": 2, "explanation": "Beads given away = 720 - 24 = 696. Shared equally among 4 friends: 696 ÷ 4 = 174 beads each. Option (3).", "hints": ["First subtract the 24 beads she kept.", "Then divide what was given away by 4 friends."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (174)." }, { "n": 11, "type_id": 2, "question": "Find the product of 214 and 9.", "answer0": "1926", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 75, "difficulty_id": 1, "explanation": "Product means multiply: 214 x 9 = 1926.", "hints": ["\"Product\" means multiply the two numbers.", "214 x 9: 9x4=36, 9x10=90, 9x200=1800."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 1926." }, { "n": 12, "type_id": 2, "question": "[?] 7 8\n x 7\n2 6 4 6\nWhat is the missing digit in the box?", "answer0": "3", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 75, "difficulty_id": 2, "explanation": "The 3-digit number ?78 multiplied by 7 gives 2646. 2646 ÷ 7 = 378, so the hundreds digit is 3. Check: 378 x 7 = 2646.", "hints": ["Divide 2646 by 7 to recover the 3-digit number.", "2646 ÷ 7 = 378, so the missing digit is the hundreds digit."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 3. Vertical multiplication ?78 x 7 = 2646." }, { "n": 13, "type_id": 2, "question": "What is the remainder when 675 is divided by 8?", "answer0": "3", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 74, "difficulty_id": 1, "explanation": "675 ÷ 8 = 84 remainder 3, because 84 x 8 = 672 and 675 - 672 = 3.", "hints": ["Find the largest multiple of 8 that is not more than 675.", "84 x 8 = 672; 675 - 672 = remainder."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 3." }, { "n": 14, "type_id": 2, "question": "The bar graph shows the number of Primary 3 students who participated during Math Week. How many more boys participated in Math week in Class 3D than in Class 3B?", "answer0": "17", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 2, "explanation": "From the bar graph the boys in Class 3D and Class 3B differ by 17 students (per the answer key).", "hints": ["Read the Boys part of the 3D bar and the 3B bar.", "Subtract the smaller from the larger."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q14", "image_needed": true, "image_page": 8, "image_loc": "horizontal stacked bar graph (Boys/Girls) for classes 3A-3D at top of page", "image_bbox": [0.16, 0.16, 0.80, 0.46], "image_options": false, "image_file": "q14.png", "notes": "Key: 17. Graph shared with Q15." }, { "n": 15, "type_id": 2, "question": "There are 27 girls in Class 3C. Some girls did not participate during Math week. How many girls in Class 3C did not participate?", "answer0": "11", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 2, "explanation": "From the graph, 16 girls in Class 3C participated. Girls who did not participate = 27 - 16 = 11.", "hints": ["Read the Girls value for Class 3C from the graph.", "Subtract the participants from the total of 27."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q15", "image_needed": true, "image_page": 8, "image_loc": "horizontal stacked bar graph (Boys/Girls) for classes 3A-3D at top of page", "image_bbox": [0.16, 0.16, 0.80, 0.46], "image_options": false, "image_file": "q15.png", "notes": "Key: 27 - 16 = 11. Graph shared with Q14." }, { "n": 16, "type_id": 2, "question": "The bar graph shows the number of seashells Tessa and Lucy had. Olivia had some seashells too. The bar for Olivia's number of seashells has not been drawn. Tessa gave Olivia some seashells. Each of the three girls had same number of seashells after that. How many seashells did Olivia have at first?", "answer0": "4", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 3, "explanation": "Tessa = 16, Lucy = 10. After Tessa gives some to Olivia all three are equal, so each ends with the average of all the seashells. Since Tessa and Olivia must end equal to Lucy's 10, each girl has 10. Tessa gave 16 - 10 = 6 to Olivia, so Olivia ended with 10 and had 10 - 6 = 4 at first.", "hints": ["Lucy's amount (10) is unchanged, so everyone ends with 10.", "Olivia received what Tessa gave away (16 - 10 = 6); subtract that from her final 10."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q16", "image_needed": true, "image_page": 9, "image_loc": "vertical bar graph of seashells for Tessa, Olivia (blank), Lucy near top", "image_bbox": [0.16, 0.13, 0.83, 0.37], "image_options": false, "image_file": "q16.png", "notes": "Key: 4. Olivia's bar is intentionally blank." }, { "n": 17, "type_id": 0, "question": "The picture and bar graph show the favourite types of movies of the students in classes 3A and 3B. Each of the statements is either true or false. For each statement, put a tick to indicate your answer. a) Only 3 students in Class 3A liked Comedy. b) Classes 3A and 3B had the same number of students who liked Thriller. c) There were fewer students who liked Fantasy in Class 3B than in Class 3A.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 3, "explanation": "Class 3A picture graph (each icon = 6): Comedy has 3 icons = 18 students, so a) is False. Thriller: 3A has 1 icon = 6, 3B bar = 6, equal, so b) is True. Fantasy: 3A has 2 icons = 12, 3B bar = 1, so 3B fewer, c) is True.", "hints": ["Each movie icon in Class 3A stands for 6 students.", "Compare Class 3A (picture) with Class 3B (bar graph) per category."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q17", "image_needed": true, "image_page": 10, "image_loc": "Class 3A pictograph table and Class 3B horizontal bar graph stacked in upper-middle of page", "image_bbox": [0.10, 0.11, 0.82, 0.62], "image_options": false, "image_file": "q17.png", "notes": "Key: a) False, b) True, c) True. Tick-the-box true/false table - interactive format with no value answer, so type_id 0 (skipped on insert)." }, { "n": 18, "type_id": 1, "question": "Study the figure. Identify whether each marked angle (a, b, c) is a right angle, an acute angle or an obtuse angle. Which row correctly names angles a, b and c in order?", "answer0": "Obtuse, acute, right", "answer1": "Acute, obtuse, right", "answer2": "Right, acute, obtuse", "answer3": "Obtuse, right, acute", "correct_answer": 0, "skill_id": 99, "difficulty_id": 2, "explanation": "Angle a is wider than a right angle (obtuse), angle b is smaller than a right angle (acute), and angle c is a right angle. So the order is Obtuse, acute, right.", "hints": ["Acute is smaller than a right angle; obtuse is larger than a right angle.", "Compare each marked angle to a square corner (90 degrees)."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q18", "image_needed": true, "image_page": 11, "image_loc": "quadrilateral figure with angles a, b, c marked at top of question", "image_bbox": [0.33, 0.07, 0.66, 0.21], "image_options": false, "image_file": "q18.png", "notes": "Key: a) Obtuse b) acute c) right. Word answers converted to MCQ per rules; original is fill-the-blank with words." }, { "n": 19, "type_id": 2, "question": "Bernice packed a total of 45 red and blue pens into bags. There were 2 red and 3 blue pens in each bag. How many red pens were there altogether?", "answer0": "18", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "Each bag holds 2 + 3 = 5 pens. Number of bags = 45 ÷ 5 = 9. Red pens = 9 x 2 = 18.", "hints": ["First find how many pens are in one bag (2 + 3).", "Find the number of bags, then multiply by the 2 red pens per bag."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q19", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 45 ÷ 5 = 9, 9 x 2 = 18. Decorative pen image only; not needed to solve." }, { "n": 20, "type_id": 2, "question": "Jayden had 540 marbles. He packed all his marbles into bags of 8 marbles equally. He had the most number of bags packed. How many marbles were left unpacked?", "answer0": "4", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 74, "difficulty_id": 2, "explanation": "540 ÷ 8 = 67 remainder 4 (67 x 8 = 536). The most bags he can fill is 67, leaving 540 - 536 = 4 marbles unpacked.", "hints": ["Divide 540 by 8 and look at the remainder.", "The leftover (remainder) is the number of unpacked marbles."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q20", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key answer: 4 (540 ÷ 8 = 67 R4). Key working misprints quotient as 61; remainder 4 is correct." }, { "n": 21, "type_id": 2, "question": "Noah had 56 stamps. He gave Ollie 8 stamps. (a) How many stamps did Noah have in the end? (b) In the end, Ollie had twice as many stamps as Noah in the end. How many stamps did the two boys have altogether?", "answer0": "48", "answer1": "144", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "(a) Noah's stamps in the end = 56 - 8 = 48. (b) Ollie had twice as many as Noah: 48 x 2 = 96. Altogether = 96 + 48 = 144 stamps.", "hints": ["(a) Subtract the 8 stamps Noah gave away.", "(b) Double Noah's amount for Ollie, then add the two boys' amounts."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q21", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: (a) 48, (b) 144. Two-part question; answer0=part(a), answer1=part(b)." }, { "n": 22, "type_id": 2, "question": "Gina and Tina wanted to buy presents for their mother. They bought her a dress costing $90 and a handbag costing $186. (a) What was the total cost of both items? (b) Gina paid three times as much as Tina for the items. How much did Tina pay?", "answer0": "276", "answer1": "69", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 83, "difficulty_id": 2, "explanation": "(a) Total cost = $90 + $186 = $276. (b) Gina paid 3 times Tina, so the total is 4 equal parts: $276 ÷ 4 = $69. Tina paid $69 (Gina paid $207).", "hints": ["(a) Add the two prices.", "(b) Gina = 3 parts, Tina = 1 part, so the total is 4 parts; divide by 4."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q22", "image_needed": true, "image_page": 13, "image_loc": "dress ($90) and handbag ($186) price-tag pictures below the question stem", "image_bbox": [0.24, 0.12, 0.70, 0.27], "image_options": false, "image_file": "q22.png", "notes": "Key: (a) 90+186=276, (b) 276÷4=69. Two-part; prices stated in stem verbatim so image is supportive." }, { "n": 23, "type_id": 0, "question": "The bar graph shows the different marks scored by five students for their WA1 test. Part of Kelly and Leon's marks were covered by some ink. (a) Name the students who scored lower than 20 marks. (b) Find the difference in Wendy and Francis' marks. (c) No students scored more than 30 marks. Kelly scored 2 marks more than Leon. What could be the possible marks scored by Kelly and Leon?", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 3, "explanation": "(a) Wendy scored 10 and Paul scored 16, both below 20, so Paul and Wendy. (b) Wendy = 10, Francis = 24; difference = 24 - 10 = 14. (c) Both bars are above 25 and at most 30, and Kelly = Leon + 2, so Kelly = 28 and Leon = 26.", "hints": ["(a) Read each bar and list those under the 20 line.", "(c) Try values from 25 up to 30 where Kelly is 2 more than Leon."], "source": "Pei Hwa 2024 P3 Weighted Assessment 2 Q23", "image_needed": true, "image_page": 14, "image_loc": "vertical bar graph 'Marks for WA1' for Wendy, Paul, Francis, Kelly, Leon (Kelly/Leon tops inked over)", "image_bbox": [0.08, 0.15, 0.78, 0.45], "image_options": false, "image_file": "q23.png", "notes": "Key: (a) Paul and Wendy; (b) 14; (c) Kelly 28, Leon 26. Multi-part with a name answer (a) and an open reasoning answer (c), so type_id 0 (skipped on insert)." } ] }