{ "paper": { "school": "St Hilda", "year": 2025, "level": "P4", "label": "Weighted Assessment 1", "source_prefix": "St Hilda 2025 P4 Weighted Assessment 1", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "What is the value of the digit 7 in $$70\\ 246$$?", "answer0": "70", "answer1": "700", "answer2": "7000", "answer3": "70 000", "correct_answer": 3, "skill_id": 105, "difficulty_id": 1, "explanation": "The digit 7 is in the ten-thousands place. Its value is $$7 \\times 10\\,000 = 70\\ 000$$.", "hints": ["Identify which place the digit 7 sits in.", "In 70 246, the 7 is in the ten-thousands place, so its value is 7 × 10 000."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 4." }, { "n": 2, "type_id": 1, "question": "Which of the following is a multiple of 8?", "answer0": "1", "answer1": "18", "answer2": "32", "answer3": "4", "correct_answer": 2, "skill_id": 114, "difficulty_id": 1, "explanation": "A multiple of 8 can be divided exactly by 8. $$32 = 8 \\times 4$$, so 32 is a multiple of 8.", "hints": ["A multiple of 8 is a number in the 8 times table.", "8, 16, 24, 32 ... 32 is in the list."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3. Option (1) printed as 1 (smudged minus); answer is 32." }, { "n": 3, "type_id": 1, "question": "What is the product of 3 and 1356?", "answer0": "452", "answer1": "1359", "answer2": "3968", "answer3": "4068", "correct_answer": 3, "skill_id": 116, "difficulty_id": 1, "explanation": "Product means multiply: $$3 \\times 1356 = 4068$$.", "hints": ["“Product” means you multiply the two numbers.", "3 × 1356 = 4068."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 4." }, { "n": 4, "type_id": 1, "question": "Which of the following is a multiple of both 4 and 5?", "answer0": "9", "answer1": "24", "answer2": "40", "answer3": "50", "correct_answer": 2, "skill_id": 115, "difficulty_id": 2, "explanation": "A common multiple of 4 and 5 must be in both times tables. $$40 = 4 \\times 10 = 5 \\times 8$$, so 40 is a multiple of both.", "hints": ["The number must divide exactly by both 4 and 5.", "Common multiples of 4 and 5 are multiples of 20: 20, 40, 60 ... 40 is in the options."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3." }, { "n": 5, "type_id": 1, "question": "Sarah and Tom had the same amount of money. After Sarah spent $336, Tom had 7 times as much money as Sarah in the end. How much money did Sarah have left?", "answer0": "$48", "answer1": "$56", "answer2": "$392", "answer3": "$2352", "correct_answer": 1, "skill_id": 118, "difficulty_id": 3, "explanation": "Tom's money never changed, and at first both were equal. Let the starting amount be the whole. After Sarah spends $336, Tom = 7 units and Sarah = 1 unit, so 6 units = $336 → 1 unit = $56. Sarah had $56 left.", "hints": ["Tom's amount stays the same; only Sarah spends money.", "At the end Tom : Sarah = 7 : 1, so the difference of 6 units equals the $336 Sarah spent. 336 ÷ 6 = 56."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 2. Sarah left = $56." }, { "n": 6, "type_id": 2, "question": "What is the missing number?
$$10\\ 000 + 5000 + 30 + 8 =$$ [?]", "answer0": "15038", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 105, "difficulty_id": 1, "explanation": "Add the place values: $$10\\ 000 + 5000 + 30 + 8 = 15\\ 038$$.", "hints": ["Line up the place values: ten-thousands, thousands, tens, ones (no hundreds).", "10 000 + 5000 + 0 + 30 + 8 = 15 038."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q6a", "image_needed": false, "image_options": false, "image_file": null, "notes": "Was Q6a. Key: 15 038." }, { "n": 7, "type_id": 2, "question": "Arrange the following numbers from the smallest to the greatest.
$$54\\ 678$$, $$54\\ 867$$, $$45\\ 876$$
[?], [?], [?]", "answer0": "45876", "answer1": "54678", "answer2": "54867", "answer3": null, "correct_answer": null, "skill_id": 107, "difficulty_id": 2, "explanation": "Compare digit by digit from the left. 45 876 starts with 4 (smallest). Between 54 678 and 54 867, compare hundreds: 6 < 8, so 54 678 < 54 867. Order: 45 876, 54 678, 54 867.", "hints": ["Compare the ten-thousands digit first, then move right.", "45 876 is smallest (4 in the lead). Then compare 54 678 and 54 867 at the hundreds place: 6 < 8."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q6b", "image_needed": false, "image_options": false, "image_file": null, "notes": "Was Q6b. Ordering task converted to FIB (one blank per position). Key: 45 876, 54 678, 54 867." }, { "n": 8, "type_id": 2, "question": "Write the missing number in the number pattern.
$$88\\ 520$$, $$88\\ 720$$, $$88\\ 920$$, [?], $$89\\ 320$$,", "answer0": "89120", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 108, "difficulty_id": 2, "explanation": "The pattern increases by 200 each step. $$88\\ 920 + 200 = 89\\ 120$$ (and $$89\\ 320 - 200 = 89\\ 120$$).", "hints": ["Find the step: 88 720 − 88 520 = 200.", "Add 200 to 88 920 to get the missing number: 89 120."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q7a", "image_needed": false, "image_options": false, "image_file": null, "notes": "Was Q7a. Key: 89 120." }, { "n": 9, "type_id": 2, "question": "A number is $$29\\ 800$$ when rounded to the nearest 100. What is the greatest possible whole number? [?]", "answer0": "29849", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 109, "difficulty_id": 3, "explanation": "Numbers that round to 29 800 (nearest 100) range from 29 750 up to 29 849. The greatest whole number is 29 849 (29 850 would round up to 29 900).", "hints": ["Rounding to the nearest 100, the range that gives 29 800 is 29 750 to 29 849.", "The largest value still rounding down is 29 849."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q7b", "image_needed": false, "image_options": false, "image_file": null, "notes": "Was Q7b. Key: 29 849." }, { "n": 10, "type_id": 2, "question": "Some factors of 32 are 1, 2, 4 and 32. What are the other two factors of 32? [?] and [?]", "answer0": "8", "answer1": "16", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 111, "difficulty_id": 2, "explanation": "The factors of 32 are 1, 2, 4, 8, 16, 32. The two not listed are 8 and 16 ($$8 \\times 4 = 32$$, $$16 \\times 2 = 32$$).", "hints": ["List all factor pairs of 32 that multiply to 32.", "1×32, 2×16, 4×8 — the missing factors are 8 and 16."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two-blank answer. Key: 8 and 16." }, { "n": 11, "type_id": 2, "question": "A shop had 104 boxes of oranges. Each box had 73 oranges. How many oranges were there altogether? [?]", "answer0": "7592", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 116, "difficulty_id": 2, "explanation": "Multiply boxes by oranges per box: $$104 \\times 73 = 7592$$.", "hints": ["Multiply the number of boxes by the oranges in each box.", "104 × 73 = 7592."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 7592." }, { "n": 12, "type_id": 2, "question": "A given number is a common factor of 12 and 21. It is greater than 1. What is the number? [?]", "answer0": "3", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 113, "difficulty_id": 2, "explanation": "Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 21: 1, 3, 7, 21. The common factors are 1 and 3. The one greater than 1 is 3.", "hints": ["List the factors of 12 and of 21 separately.", "The shared factors are 1 and 3; the one greater than 1 is 3."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 3." }, { "n": 13, "type_id": 2, "question": "I am a number between 25 and 35. I am a multiple of 3. One of my factors is 5. What number am I? [?]", "answer0": "30", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 111, "difficulty_id": 2, "explanation": "Multiples of 3 between 25 and 35: 27, 30, 33. Of these, only 30 has 5 as a factor ($$30 \\div 5 = 6$$). The number is 30.", "hints": ["First list the multiples of 3 between 25 and 35.", "27, 30, 33 — which one divides exactly by 5? Only 30."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 30." }, { "n": 14, "type_id": 2, "question": "Alex and Betty had a total of 308 stickers at first. After Alex gave away 56 stickers, Betty had 3 times as many stickers as Alex. How many stickers did Alex have at first? [?]", "answer0": "119", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "After Alex gives away 56, the remaining total is $$308 - 56 = 252$$. Then Betty : Alex = 3 : 1, so 4 units = 252 → 1 unit = 63. Alex had 63 after, so at first $$63 + 56 = 119$$.", "hints": ["Subtract the 56 Alex gave away from the total first: 308 − 56 = 252.", "Now there are 4 equal units (Betty 3, Alex 1): 252 ÷ 4 = 63 for Alex, then add back the 56."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 119." }, { "n": 15, "type_id": 2, "question": "A chair costs $280 lesser than a bed. A bed and 4 identical chairs cost $880. How much does each chair cost? [?]", "answer0": "120", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "A bed = 1 chair + $280. So 1 bed + 4 chairs = 5 chairs + $280 = $880 → 5 chairs = $600 → 1 chair = $120.", "hints": ["Replace the bed with (1 chair + $280) so everything is in chairs.", "5 chairs + $280 = $880, so 5 chairs = $600 and each chair = $120."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Was Q13. Answer is a money value; FIB answer kept plain as 120. Key: $120." }, { "n": 16, "type_id": 2, "question": "Ryan baked 3 times as many cookies as Chloe. Ryan sold 66 of his cookies and Chloe sold 10 of her cookies. They then had the same number of cookies left. How many cookies did Ryan bake? [?]", "answer0": "84", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "Ryan = 3 units, Chloe = 1 unit. After selling, 3 units − 66 = 1 unit − 10, so 2 units = 66 − 10 = 56 → 1 unit = 28. Ryan baked 3 units = $$28 \\times 3 = 84$$.", "hints": ["Let Chloe = 1 unit and Ryan = 3 units. Write what each has left after selling.", "3 units − 66 = 1 unit − 10 gives 2 units = 56, so 1 unit = 28 and Ryan baked 3 × 28 = 84."], "source": "St Hilda 2025 P4 Weighted Assessment 1 Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "Was Q14. Key: 84." } ] }