{
 "paper": {
  "school": "Henry Park",
  "year": 2022,
  "level": "P4",
  "label": "Weighted Assessment 1",
  "source_prefix": "Henry Park 2022 P4 Weighted Assessment 1",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 2,
   "question": "(a) Write eighty-five thousand and twenty-one in numerals.<br>(b) In 21 435, which digit is in the hundreds place?",
   "answer0": "85021",
   "answer1": "4",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 106,
   "difficulty_id": 1,
   "explanation": "(a) Eighty-five thousand = 85 000, and twenty-one = 21, so the numeral is 85 021. (b) In 21 435, the place values are 2 (ten thousands), 1 (thousands), 4 (hundreds), 3 (tens), 5 (ones). The digit in the hundreds place is 4.",
   "hints": [
    "Eighty-five thousand is 85 000.",
    "Read each digit's place value from the right: ones, tens, hundreds, thousands, ten thousands."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two-blank FIB: (a) numeral, (b) digit. Key: a) 85021, b) 4."
  },
  {
   "n": 2,
   "type_id": 2,
   "question": "(a) Round 24 568 to the nearest ten.<br>(b) Round 89 542 to the nearest thousand.",
   "answer0": "24570",
   "answer1": "89000",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 109,
   "difficulty_id": 1,
   "explanation": "(a) The ones digit of 24 568 is 8 (5 or more), so round up: 24 570. (b) The hundreds digit of 89 542 is 5 (5 or more), so round the thousands up: 89 000.",
   "hints": [
    "Look at the digit one place to the right of the place you are rounding to.",
    "5 or more rounds up; 4 or less rounds down."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two-blank FIB. Key: a) 24570, b) 89 000."
  },
  {
   "n": 3,
   "type_id": 2,
   "question": "(a) 1 and 15 are factors of 15. List the other two factors of 15.<br>(b) What is the first common multiple of 6 and 9?",
   "answer0": "3",
   "answer1": "5",
   "answer2": "18",
   "answer3": null,
   "correct_answer": null,
   "skill_id": 113,
   "difficulty_id": 2,
   "explanation": "(a) Factors of 15 are the numbers that divide 15 exactly: 1, 3, 5, 15. Besides 1 and 15, the other two are 3 and 5. (b) Multiples of 6: 6, 12, 18, ...; multiples of 9: 9, 18, ... The first common multiple is 18.",
   "hints": [
    "A factor divides the number with no remainder.",
    "List the multiples of each number and find the smallest one they share."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Three-blank FIB: a)=two factors (3 and 5), b)=first common multiple. Key cell printed 'a) 1 and 15' which restates the GIVEN factors; the correct other-two-factors answer is 3 and 5. Key b) 18 confirmed."
  },
  {
   "n": 4,
   "type_id": 2,
   "question": "(a) 30 745 = [?] + 700 + 40 + 5. What is the missing number in the box?<br>(b) What is the value of the digit 7 in 9276?",
   "answer0": "30000",
   "answer1": "70",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 105,
   "difficulty_id": 2,
   "explanation": "(a) 30 745 = 30 000 + 700 + 40 + 5, so the missing number is 30 000. (b) In 9276 the digit 7 is in the tens place, so its value is 7 tens = 70.",
   "hints": [
    "Subtract 700 + 40 + 5 = 745 from 30 745.",
    "Place value: the 7 in 9276 sits in the tens column."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q4",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two-blank FIB. Key: a) 30 000, b) 70."
  },
  {
   "n": 5,
   "type_id": 2,
   "question": "Arrange the following from the smallest to the greatest.<br>$$\\frac{3}{7}$$ , $$\\frac{2}{9}$$ , $$\\frac{3}{9}$$",
   "answer0": "2/9",
   "answer1": "3/9",
   "answer2": "3/7",
   "answer3": null,
   "correct_answer": null,
   "skill_id": 79,
   "difficulty_id": 2,
   "explanation": "Compare the fractions. 2/9 and 3/9 share denominator 9, so 2/9 < 3/9. Then 3/9 = 1/3 ≈ 0.33 and 3/7 ≈ 0.43, so 3/9 < 3/7. From smallest to greatest: 2/9, 3/9, 3/7.",
   "hints": [
    "Fractions with the same denominator are ordered by their numerators.",
    "Convert to decimals or a common denominator to compare 3/9 and 3/7."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q5",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Ordering task -> 3-blank FIB smallest->greatest. Plain a/b fraction answers. Key: 2/9, 3/9, 3/7."
  },
  {
   "n": 6,
   "type_id": 2,
   "question": "(a) Express $$\\frac{21}{8}$$ as a mixed number.<br>(b) Express $$4\\frac{5}{7}$$ as an improper fraction.",
   "answer0": "2 5/8",
   "answer1": "33/7",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 119,
   "difficulty_id": 1,
   "explanation": "(a) 21 ÷ 8 = 2 remainder 5, so 21/8 = 2 5/8. (b) 4 5/7 = (4 × 7 + 5)/7 = (28 + 5)/7 = 33/7.",
   "hints": [
    "Divide the numerator by the denominator; the remainder becomes the new numerator.",
    "Multiply the whole number by the denominator, then add the numerator."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q6",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two-blank FIB. Plain answers. Key: a) 2 5/8, b) 33/7."
  },
  {
   "n": 7,
   "type_id": 2,
   "question": "Express your answer as a mixed number in its simplest form.<br>$$\\frac{5}{6}$$ + $$\\frac{2}{3}$$ = [?]",
   "answer0": "1 1/2",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "Make denominators the same: 2/3 = 4/6. Then 5/6 + 4/6 = 9/6 = 3/2 = 1 1/2.",
   "hints": [
    "Convert 2/3 to sixths.",
    "Add the numerators, then simplify and write as a mixed number."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q7",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Single-blank FIB. Key: 1 1/2."
  },
  {
   "n": 8,
   "type_id": 2,
   "question": "A number is 21 300 when rounded to the nearest hundred. What could be the largest possible value for this number?",
   "answer0": "21349",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 109,
   "difficulty_id": 2,
   "explanation": "To round to 21 300 at the nearest hundred, the number must be from 21 250 up to 21 349 (21 350 would round up to 21 400). The largest such whole number is 21 349.",
   "hints": [
    "Numbers from 21 250 to 21 349 round to 21 300.",
    "The largest value is just below the halfway point 21 350."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q8",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Single-blank FIB. Key: 21 349."
  },
  {
   "n": 9,
   "type_id": 2,
   "question": "Identify two fractions between $$\\frac{2}{3}$$ and $$\\frac{3}{4}$$. List them in their simplest forms.",
   "answer0": "25/36",
   "answer1": "13/18",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 79,
   "difficulty_id": 3,
   "explanation": "Use a common denominator. 2/3 = 24/36 and 3/4 = 27/36, so 25/36 and 26/36 lie between them. 25/36 is already in simplest form; 26/36 = 13/18. The two fractions are 25/36 and 13/18.",
   "hints": [
    "Rewrite 2/3 and 3/4 with a common denominator such as 36.",
    "Pick fractions whose numerators fall between, then simplify."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two-blank FIB. Key: 25/36 and 13/18 (other valid answers exist between 2/3 and 3/4)."
  },
  {
   "n": 10,
   "type_id": 2,
   "question": "Leslie thought of a number. It has 8 factors. He listed some of the factors in increasing order.<br>1, 2, 3, 6, [?], 14, 21, [?]<br>What are the missing factors?",
   "answer0": "7",
   "answer1": "42",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 111,
   "difficulty_id": 3,
   "explanation": "The listed factors 1, 2, 3, 6, 14, 21 suggest the number is 42. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42 (8 factors). The missing ones, in order, are 7 (between 6 and 14) and 42 (after 21).",
   "hints": [
    "A number with factors 2, 3 and 7 is a multiple of 42.",
    "List all factors of 42 in increasing order and fill the gaps."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q10",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two-blank FIB in sequence order. Key cell shows '42 and 7' but in increasing-order positions the missing factors are 7 then 42."
  },
  {
   "n": 11,
   "type_id": 2,
   "question": "A bakery buys 1250 kg of flour every 2 months. It buys the same amount of flour each month.<br>(a) How much flour does the bakery buy each month?<br>(b) How much flour does the bakery buy in a year?",
   "answer0": "625",
   "answer1": "7500",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "(a) 1250 kg over 2 months = 1250 ÷ 2 = 625 kg each month. (b) A year has 12 months, so 625 × 12 = 7500 kg.",
   "hints": [
    "Divide the 2-month amount by 2 to get one month.",
    "Multiply the monthly amount by 12 months."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q11",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two-blank FIB, answers in kg. Key: a) 625 kg, b) 7500 kg."
  },
  {
   "n": 12,
   "type_id": 2,
   "question": "Jack and Bill had a total of $1730 in savings at first. After Jack donated $170 to charity, Bill had 3 times as much money as Jack. How much savings did Bill have?",
   "answer0": "$1170",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "After Jack donates $170, the remaining total is 1730 − 170 = $1560. Now Bill = 3 × Jack, so they form 4 equal units: 1 unit = 1560 ÷ 4 = $390 (Jack). Bill = 3 units = 3 × 390 = $1170.",
   "hints": [
    "Subtract the $170 donation from the total first.",
    "Treat Jack as 1 unit and Bill as 3 units, so the total is 4 units."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q12",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Single-blank FIB, money. Key: $1170."
  },
  {
   "n": 13,
   "type_id": 2,
   "question": "Ms Tan bought 15 packets of stickers. Each packet contained 25 stickers. She kept 100 stickers for herself and gave the rest to 5 friends. Each friend received an equal number of stickers. How many stickers did each friend get?",
   "answer0": "55",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Total stickers = 15 × 25 = 375. After keeping 100: 375 − 100 = 275. Shared among 5 friends: 275 ÷ 5 = 55 stickers each.",
   "hints": [
    "Find the total number of stickers first.",
    "Subtract the 100 she kept, then divide by 5 friends."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Single-blank FIB. Key: 55 stickers."
  },
  {
   "n": 14,
   "type_id": 2,
   "question": "George had $108 and Trevor had $52. After each of them bought a calculator at the same price, George had five times as much money left as Trevor. What was the cost of the calculator?",
   "answer0": "$38",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "The difference between them stays the same: 108 − 52 = $56. After buying, George = 5 × Trevor, so the difference is 4 units = $56, giving 1 unit = 56 ÷ 4 = $14 (Trevor's money left). Calculator cost = 52 − 14 = $38.",
   "hints": [
    "Buying the same price keeps the $56 difference unchanged.",
    "George's remaining money is 5 units and Trevor's is 1 unit, so the difference is 4 units."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q14",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Single-blank FIB, money. Key: $38."
  },
  {
   "n": 15,
   "type_id": 2,
   "question": "The cost of an adult ticket to a funfair was $8. The cost of a child ticket was $5. On a Monday, there were 50 visitors and $304 was collected altogether. How many more children than adults visited the funfair that day?",
   "answer0": "14",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Assume all 50 were children: 50 × $5 = $250. The extra $304 − $250 = $54 comes from adults paying $3 more each ($8 − $5). Number of adults = 54 ÷ 3 = 18, so children = 50 − 18 = 32. More children than adults = 32 − 18 = 14.",
   "hints": [
    "Suppose all 50 visitors paid the child price, then account for the extra money.",
    "Each adult adds $3 to the total; once you have the number of adults, find children and subtract."
   ],
   "source": "Henry Park 2022 P4 Weighted Assessment 1 Q15",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Single-blank FIB. Key working: 18 adults ($144), 32 children ($160), total $304. Question asks how many MORE children than adults = 32 - 18 = 14."
  }
 ]
}