{ "paper": { "school": "Henry Park", "year": 2024, "level": "P4", "label": "WA1 Revision", "source_prefix": "Henry Park 2024 P4 Weighted Assessment 1 Revision", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 2, "question": "(a) What is the product of 345 and 68.
(b) What is the remainder when 1042 is divided by 6?", "answer0": "23460", "answer1": "4", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 116, "difficulty_id": 1, "explanation": "(a) Product means multiply: 345 × 68 = 23460.
(b) 1042 ÷ 6 = 173 remainder 4 (since 173 × 6 = 1038, and 1042 − 1038 = 4). Remainder = 4.", "hints": [ "\"Product\" means multiply the two numbers together.", "For the remainder, find how many whole 6s fit into 1042, then take what is left over." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two-part computation: 345×68=23460; 1042÷6 remainder=4. Both verified against key (Q1 a)23460 b)4)." }, { "n": 2, "type_id": 2, "question": "A television costs $789. How much would 3 such television cost?", "answer0": "$2367", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 116, "difficulty_id": 1, "explanation": "Cost of 3 televisions = 789 × 3 = $2367.", "hints": [ "Multiply the cost of one television by 3.", "789 × 3 = (800 × 3) − (11 × 3) = 2400 − 33 = 2367." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "789×3=$2367. Verified against key (Q2 $2367)." }, { "n": 3, "type_id": 2, "question": "Express $$\\frac{60}{9}$$ as a mixed number in its simplest form.", "answer0": "6 2/3", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 119, "difficulty_id": 2, "explanation": "60 ÷ 9 = 6 remainder 6, so $$\\frac{60}{9}=6\\frac{6}{9}$$. Simplify $$\\frac{6}{9}=\\frac{2}{3}$$. Answer = $$6\\frac{2}{3}$$.", "hints": [ "Divide 60 by 9 to find the whole-number part and the remainder.", "Simplify the fractional part by dividing top and bottom by 3." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "60/9 = 6 2/3. Verified against key (Q3 6 2/3). FIB answer kept plain as '6 2/3'." }, { "n": 4, "type_id": 2, "question": "What fraction of the figure is shaded? Express your answer in its simplest form.", "answer0": "3/4", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 120, "difficulty_id": 2, "explanation": "The circle is divided into 8 equal parts; 6 of them are shaded. $$\\frac{6}{8}=\\frac{3}{4}$$. Answer = $$\\frac{3}{4}$$.", "hints": [ "Count the total number of equal parts the circle is divided into.", "Write shaded parts over total parts, then simplify." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q4", "image_needed": true, "image_options": false, "image_file": "q4.png", "image_page": 2, "image_bbox": [ 0.18, 0.3, 0.4, 0.46 ], "image_loc": "shaded circle (pie divided into eighths) below the question text, upper-left area of page", "notes": "Shaded = 6/8 = 3/4. Verified against key (Q4 3/4). FIB fraction answer kept plain '3/4'." }, { "n": 5, "type_id": 2, "question": "The table shows the number of children in each family in a neighbourhood.
Number of children in each family: 0, 1, 2, 3, 4, 5
Number of families: 9, 16, 20, 25, 8, 3
How many families have more than 3 children?", "answer0": "11", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 146, "difficulty_id": 1, "explanation": "\"More than 3 children\" means 4 children or 5 children. Families with 4 = 8, families with 5 = 3. Total = 8 + 3 = 11.", "hints": [ "\"More than 3\" does not include families with exactly 3 children.", "Add the families with 4 children and the families with 5 children." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Table reproduced in stem text (not served as image). 8+3=11. Verified against key (Q5 8+3=11)." }, { "n": 6, "type_id": 2, "question": "Jacob has twice as much money as Asher while Caden has thrice as much money as Jacob. Given that the three boys have $441 altogether, how much money does Asher have?", "answer0": "$49", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "Let Asher = 1 unit. Jacob = 2 units. Caden = 3 × Jacob = 6 units. Total = 1 + 2 + 6 = 9 units = $441. 1 unit = 441 ÷ 9 = $49. Asher has $49.", "hints": [ "Use units: let Asher be 1 unit, then write Jacob and Caden in units.", "Add up all the units, set equal to $441, then divide." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "9 units = $441, 1 unit = $49 = Asher. Verified against key (Q6 449÷9=49 — key wrote 449 as a typo for 441; 441÷9=49 is correct)." }, { "n": 7, "type_id": 2, "question": "Cupcakes are sold in boxes of 3. Each box of cupcake cost $8. What is the greatest number of cupcakes that can be bought with $150?", "answer0": "54", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "Number of boxes = 150 ÷ 8 = 18 remainder 6, so at most 18 whole boxes can be bought. Each box has 3 cupcakes, so 18 × 3 = 54 cupcakes.", "hints": [ "First find how many whole $8 boxes can be bought with $150.", "The $6 left over is not enough for another box; multiply whole boxes by 3 cupcakes." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q7", "image_needed": true, "image_options": false, "image_file": "q7.png", "image_page": 3, "image_bbox": [ 0.22, 0.52, 0.58, 0.6 ], "image_loc": "drawing of a box of 3 cupcakes labelled \"$8 for a box of 3\", centred below the question", "notes": "150÷8=18 boxes (r6), 18×3=54 cupcakes. Verified against key (Q7 150÷8=18R6, 18×3=54)." }, { "n": 8, "type_id": 2, "question": "Arrange the following fractions in order, from the smallest to the greatest.
$$1\\frac{1}{3}$$, $$\\frac{5}{6}$$, $$\\frac{3}{4}$$, $$\\frac{13}{12}$$", "answer0": "3/4", "answer1": "5/6", "answer2": "13/12", "answer3": "1 1/3", "correct_answer": null, "skill_id": 121, "difficulty_id": 2, "explanation": "Convert to twelfths: $$1\\frac{1}{3}=\\frac{16}{12}$$, $$\\frac{5}{6}=\\frac{10}{12}$$, $$\\frac{3}{4}=\\frac{9}{12}$$, $$\\frac{13}{12}=\\frac{13}{12}$$. Order: $$\\frac{9}{12}<\\frac{10}{12}<\\frac{13}{12}<\\frac{16}{12}$$, i.e. $$\\frac{3}{4},\\frac{5}{6},\\frac{13}{12},1\\frac{1}{3}$$.", "hints": [ "Make all the fractions have the same denominator (12).", "Compare the numerators once the denominators match, then list smallest to greatest." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Ordering FIB, one blank per position smallest→greatest. Order 3/4, 5/6, 13/12, 1 1/3. Verified against key (Q8 3/4, 5/6, 13/12, 1 1/3). FIB fraction answers kept plain." }, { "n": 9, "type_id": 2, "question": "At first, John had 376 more cards than Alex. After John gave 25 cards to Alex, John had twice as many cards as Alex. How many cards did Alex have in the end?", "answer0": "326", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "After John gives 25 cards, the difference between them becomes 376 − 25 − 25 = 326 cards. Since John then has twice as many as Alex, John = 2 units and Alex = 1 unit, so the difference of 1 unit = Alex's amount = 326. Alex had 326 cards in the end.", "hints": [ "Giving away 25 cards reduces John's lead by 50 (he loses 25 and Alex gains 25).", "When John has twice Alex, the difference equals Alex's amount." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Final difference = 376-25-25 = 326 = Alex's final count. Verified against key (Q9 376-25-25=326)." }, { "n": 10, "type_id": 2, "question": "Valerie baked some pineapple tarts. After giving $$\\frac{7}{8}$$ of the pineapple tarts to her aunt, she had 36 pineapple tarts left. How many pineapple tarts did Valerie bake?", "answer0": "288", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 2, "explanation": "She gave away $$\\frac{7}{8}$$, so $$\\frac{1}{8}$$ is left = 36 tarts. Total = $$\\frac{8}{8}$$ = 36 × 8 = 288 pineapple tarts.", "hints": [ "If 7/8 was given away, what fraction is left?", "The 36 tarts represent 1/8 of the total, so multiply by 8." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "1/8 left = 36, total = 36×8 = 288. Verified against key (Q10 36×8=288)." }, { "n": 11, "type_id": 2, "question": "The graph shows Jimmy's height when he was 8 to 13 years old.
What was the increase in his height between 10 to 11 years old?", "answer0": "18", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 147, "difficulty_id": 2, "explanation": "From the graph, Jimmy's height at 10 years old = 130 cm and at 11 years old = 148 cm. Increase = 148 − 130 = 18 cm.", "hints": [ "Read his height at 10 years old and at 11 years old off the line graph.", "Subtract the smaller height from the larger height." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q11", "image_needed": true, "image_options": false, "image_file": "q11.png", "image_page": 5, "image_bbox": [ 0.14, 0.13, 0.78, 0.52 ], "image_loc": "line graph of Height (cm) vs Age (8 to 13 yrs old) at top of page", "notes": "Height 10yo=130, 11yo=148, increase=18 cm. Answer is in cm. Verified against key (Q11 18)." }, { "n": 12, "type_id": 2, "question": "The line graph shows the volume of water in a tank on Monday.
(a) During which 2-hour period was there an increase in volume of water by 200 ℓ? Between [?] and [?].
(b) Water was pumped out of the tank between 5.30 a.m. and 9.30 a.m. How much water was pumped out?", "answer0": "1.30 p.m.", "answer1": "3.30 p.m.", "answer2": "450 ℓ", "answer3": null, "correct_answer": null, "skill_id": 147, "difficulty_id": 2, "explanation": "(a) From the graph the volume rises from 250 ℓ at 1.30 p.m. to 450 ℓ at 3.30 p.m., an increase of 200 ℓ. So the period is between 1.30 p.m. and 3.30 p.m.
(b) At 5.30 a.m. the volume was 550 ℓ and at 9.30 a.m. it was 100 ℓ. Water pumped out = 550 − 100 = 450 ℓ.", "hints": [ "For (a) look for the 2-hour step where the line climbs by exactly 200 litres.", "For (b) read the volume at 5.30 a.m. and at 9.30 a.m., then subtract." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q12", "image_needed": true, "image_options": false, "image_file": "q12.png", "image_page": 6, "image_bbox": [ 0.14, 0.26, 0.8, 0.49 ], "image_loc": "line graph \"Volume of Water in a Tank\" (Volume in ℓ vs Time 5.30 a.m. to 3.30 p.m.) below the question", "notes": "(a) increase of 200ℓ is 1.30pm→3.30pm (250→450). (b) 550−100=450ℓ. Verified against key (Q12 a)1.30pm to 3.30pm b)550-100=450 litre). 3 blanks total across both parts." }, { "n": 13, "type_id": 2, "question": "A tailor used a total of 1455 blue, orange and brown buttons for his tailoring work. He used 360 more blue buttons than brown buttons. He used the same number of orange buttons as blue buttons. How many brown buttons did he use?", "answer0": "245", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "Let brown = 1 unit. Blue = 1 unit + 360. Orange = blue = 1 unit + 360. Total = 3 units + 720 = 1455. So 3 units = 1455 − 720 = 735, and 1 unit = 735 ÷ 3 = 245. Brown buttons = 245.", "hints": [ "Let brown be 1 unit; write blue and orange in terms of that unit plus the extra 360 each.", "Subtract the two lots of 360 (= 720) from 1455, then divide by 3." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "3 units + 720 = 1455; 735÷3 = 245 brown. Verified against key (Q13 360×2=720, 1455-720=735, 735÷3=245)." }, { "n": 14, "type_id": 2, "question": "There were 14 rows of chairs in the hall. There were 28 chairs in each row, except the last row. There were 20 chairs in the last row. What was the total number of chairs in the hall?", "answer0": "384", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "The first 13 rows have 28 chairs each: 28 × 13 = 364. The last row has 20 chairs. Total = 364 + 20 = 384 chairs.", "hints": [ "Only 13 of the 14 rows have 28 chairs; the last row is different.", "Work out 28 × 13, then add the 20 chairs in the last row." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "28×13=364, +20 = 384. Verified against key (Q14 28×13=364, 364+20=384)." }, { "n": 15, "type_id": 2, "question": "Every month, Zoe spends $$\\frac{1}{3}$$ of her monthly salary on food, $$\\frac{5}{12}$$ of it on transport and saves the rest of her salary.
(a) What fraction of her salary does Zoe save every month?
(b) Given that Zoe saves $798 each month, how much does Zoe earn each month?", "answer0": "1/4", "answer1": "$3192", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "(a) Fraction spent = $$\\frac{1}{3}+\\frac{5}{12}=\\frac{4}{12}+\\frac{5}{12}=\\frac{9}{12}$$. Fraction saved = $$1-\\frac{9}{12}=\\frac{3}{12}=\\frac{1}{4}$$.
(b) Savings of $$\\frac{1}{4}$$ = $798, so total salary = 798 × 4 = $3192.", "hints": [ "(a) Add the food and transport fractions over a common denominator of 12, then subtract from 1.", "(b) The $798 saved is 1/4 (3/12) of the salary, so multiply by 4." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Revision Q15", "image_needed": false, "image_options": false, "image_file": null, "notes": "(a) saved = 3/12 = 1/4. (b) 798×4=$3192. Verified against key (Q15 a)3/12 b)798×4=3192). Part (a) answer given simplified as 1/4 (key wrote 3/12 unsimplified — both equal). FIB fraction answer kept plain." } ] }