{
  "paper": {
    "school": "Raffles Girls' Primary School",
    "year": 2025,
    "level": "P5",
    "label": "Weighted Assessment 1",
    "source_prefix": "Raffles 2025 P5 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "What is the value of the digit 5 in 750 481?",
      "answer0": "50",
      "answer1": "500",
      "answer2": "5000",
      "answer3": "50 000",
      "correct_answer": 3,
      "skill_id": 105,
      "difficulty_id": 1,
      "explanation": "In 750 481 the digit 5 is in the ten thousands place, so its value is \\(5 \\times 10\\,000 = 50\\,000\\). Answer: 50 000.",
      "hints": ["Find which place the 5 occupies in 750 481.", "Value = digit \\(\\times\\) place value."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Answer key: option 4 (50 000)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "In which of the following are the numbers arranged from the largest to the smallest?",
      "answer0": "6890, 6089, 6809",
      "answer1": "6089, 6809, 6890",
      "answer2": "6890, 6809, 6089",
      "answer3": "6089, 6890, 6809",
      "correct_answer": 2,
      "skill_id": 107,
      "difficulty_id": 1,
      "explanation": "Compare the three numbers: 6890 > 6809 > 6089. The option listing them in this descending order is 6890, 6809, 6089. Answer: option 3.",
      "hints": ["Compare the hundreds and tens digits of 6890, 6809 and 6089.", "Largest to smallest means descending order."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Answer key: option 3 (6890, 6809, 6089)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "54 is not a multiple of ____________.",
      "answer0": "9",
      "answer1": "6",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 3,
      "skill_id": 114,
      "difficulty_id": 1,
      "explanation": "\\(54 \\div 9 = 6\\), \\(54 \\div 6 = 9\\), \\(54 \\div 3 = 18\\) all divide exactly, but \\(54 \\div 4 = 13.5\\) does not. So 54 is not a multiple of 4. Answer: 4.",
      "hints": ["Check which number divides 54 without a remainder.", "54 \\(\\div\\) 4 is not a whole number."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Answer key: option 4 (4)."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Which of the following is equal to \\(4\\dfrac{3}{5}\\)?",
      "answer0": "\\(\\dfrac{12}{5}\\)",
      "answer1": "\\(\\dfrac{17}{5}\\)",
      "answer2": "\\(\\dfrac{19}{5}\\)",
      "answer3": "\\(\\dfrac{23}{5}\\)",
      "correct_answer": 3,
      "skill_id": 157,
      "difficulty_id": 1,
      "explanation": "\\(4\\dfrac{3}{5} = \\dfrac{4 \\times 5 + 3}{5} = \\dfrac{23}{5}\\). Answer: \\(\\dfrac{23}{5}\\).",
      "hints": ["Multiply the whole number by the denominator and add the numerator.", "\\(4 \\times 5 + 3 = 23\\)."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Convert mixed to improper fraction; fraction options -> MCQ. Answer key: option 4 (23/5)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "There were 60 books in the class library. \\(\\dfrac{2}{3}\\) of the books were fiction books and the rest were non-fiction books. \\(\\dfrac{3}{10}\\) of the fiction books were borrowed. How many books were borrowed?",
      "answer0": "12",
      "answer1": "18",
      "answer2": "20",
      "answer3": "40",
      "correct_answer": 0,
      "skill_id": 174,
      "difficulty_id": 2,
      "explanation": "Fiction books = \\(\\dfrac{2}{3} \\times 60 = 40\\). Borrowed = \\(\\dfrac{3}{10} \\times 40 = 12\\). Answer: 12.",
      "hints": ["Find the number of fiction books first: \\(\\dfrac{2}{3} \\times 60\\).", "Then take \\(\\dfrac{3}{10}\\) of the fiction books."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Answer key: option 1 (12)."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Mrs Wee bought some pies. She gave \\(\\dfrac{2}{5}\\) of the pies to her sister and \\(\\dfrac{1}{6}\\) of the remaining pies to her neighbour. What fraction of the pies had she left?",
      "answer0": "\\(\\dfrac{1}{10}\\)",
      "answer1": "\\(\\dfrac{1}{2}\\)",
      "answer2": "\\(\\dfrac{5}{6}\\)",
      "answer3": "\\(\\dfrac{9}{15}\\)",
      "correct_answer": 1,
      "skill_id": 165,
      "difficulty_id": 2,
      "explanation": "After giving \\(\\dfrac{2}{5}\\) to her sister, the remainder is \\(1 - \\dfrac{2}{5} = \\dfrac{3}{5}\\). She gives \\(\\dfrac{1}{6}\\) of this to her neighbour = \\(\\dfrac{1}{6} \\times \\dfrac{3}{5} = \\dfrac{1}{10}\\). Left = \\(\\dfrac{3}{5} - \\dfrac{1}{10} = \\dfrac{6}{10} - \\dfrac{1}{10} = \\dfrac{5}{10} = \\dfrac{1}{2}\\). Answer: \\(\\dfrac{1}{2}\\).",
      "hints": ["After the sister, \\(\\dfrac{3}{5}\\) of the pies remain.", "Subtract the neighbour's \\(\\dfrac{1}{6}\\) of \\(\\dfrac{3}{5}\\) from \\(\\dfrac{3}{5}\\)."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Fraction options -> MCQ. Answer key: option 2 (1/2)."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "Write five million, two hundred thousand and sixty in numerals.<br>Ans: [?]",
      "answer0": "5 200 060",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 149,
      "difficulty_id": 1,
      "explanation": "Five million = 5 000 000; two hundred thousand = 200 000; sixty = 60. Sum = 5 200 060. Answer: 5 200 060.",
      "hints": ["Write each named part and add.", "There are no thousands or hundreds besides 200 000 and 60."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Q7(a). Integer answer -> FIB. Answer key: 5 200 060."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "What is the missing number in the box?<br>\\(103 \\times 100 = 103\\,000 \\div [?]\\)",
      "answer0": "10",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 151,
      "difficulty_id": 2,
      "explanation": "\\(103 \\times 100 = 10\\,300\\). So \\(103\\,000 \\div [?] = 10\\,300\\), giving \\([?] = 103\\,000 \\div 10\\,300 = 10\\). Answer: 10.",
      "hints": ["Work out the left side: \\(103 \\times 100 = 10\\,300\\).", "Divide 103 000 by 10 300."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Q7(b). Integer answer -> FIB. Answer key: 10."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "What is the value of \\(20 + (27 - 3) \\div 4\\)?<br>Ans: [?]",
      "answer0": "26",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 156,
      "difficulty_id": 1,
      "explanation": "Brackets first: \\(27 - 3 = 24\\). Then divide: \\(24 \\div 4 = 6\\). Finally add: \\(20 + 6 = 26\\). Answer: 26.",
      "hints": ["Do the bracket, then the division, before adding.", "\\(24 \\div 4 = 6\\)."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Printed Q8. Integer answer -> FIB. Answer key working: 20 + 24/4 = 20 + 6 = 26."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "ABCD is a square. What fraction of square ABCD is not shaded?",
      "answer0": "\\(\\dfrac{11}{16}\\)",
      "answer1": "\\(\\dfrac{5}{16}\\)",
      "answer2": "\\(\\dfrac{3}{4}\\)",
      "answer3": "\\(\\dfrac{1}{2}\\)",
      "correct_answer": 0,
      "skill_id": 174,
      "difficulty_id": 3,
      "explanation": "Dividing the square into 16 equal small triangles by its diagonals and midlines, the shaded region covers 5 of these 16 parts, so the unshaded fraction is \\(1 - \\dfrac{5}{16} = \\dfrac{11}{16}\\). Answer: \\(\\dfrac{11}{16}\\).",
      "hints": ["Split the square into 16 equal parts using the diagonals and midlines.", "Count the shaded parts, then subtract from the whole."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 6,
      "image_bbox": [0.38, 0.13, 0.62, 0.27],
      "notes": "Printed Q9. Fraction answer -> MCQ. Answer key: 11/16. Figure: square ABCD with diagonals and an inner shaded region (top triangle plus a small central triangle)."
    },
    {
      "n": 11,
      "type_id": 1,
      "question": "Ahmad and his 3 cousins shared 11 m of wire equally among themselves. How many metres of wire did each of them get?",
      "answer0": "\\(2\\dfrac{3}{4}\\) m",
      "answer1": "\\(2\\dfrac{1}{4}\\) m",
      "answer2": "\\(3\\dfrac{1}{4}\\) m",
      "answer3": "\\(2\\dfrac{1}{2}\\) m",
      "correct_answer": 0,
      "skill_id": 157,
      "difficulty_id": 1,
      "explanation": "Ahmad and 3 cousins = 4 people. Each gets \\(11 \\div 4 = \\dfrac{11}{4} = 2\\dfrac{3}{4}\\) m. Answer: \\(2\\dfrac{3}{4}\\) m.",
      "hints": ["There are 4 people in total (Ahmad + 3 cousins).", "Divide 11 by 4 and write as a mixed number."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Printed Q10. Mixed-number answer -> MCQ. Answer key: 11/4 = 2 3/4 m."
    },
    {
      "n": 12,
      "type_id": 1,
      "question": "Vera had \\(\\dfrac{9}{10}\\) kg of flour. She used \\(\\dfrac{3}{5}\\) kg to bake cookies and \\(\\dfrac{1}{4}\\) of the remaining flour to bake a cake. How many kilograms of flour did she use to bake the cake?",
      "answer0": "\\(\\dfrac{3}{40}\\) kg",
      "answer1": "\\(\\dfrac{3}{10}\\) kg",
      "answer2": "\\(\\dfrac{1}{4}\\) kg",
      "answer3": "\\(\\dfrac{3}{20}\\) kg",
      "correct_answer": 0,
      "skill_id": 165,
      "difficulty_id": 2,
      "explanation": "Remaining after cookies = \\(\\dfrac{9}{10} - \\dfrac{3}{5} = \\dfrac{9}{10} - \\dfrac{6}{10} = \\dfrac{3}{10}\\) kg. Flour for the cake = \\(\\dfrac{1}{4} \\times \\dfrac{3}{10} = \\dfrac{3}{40}\\) kg. Answer: \\(\\dfrac{3}{40}\\) kg.",
      "hints": ["Find the remaining flour: \\(\\dfrac{9}{10} - \\dfrac{3}{5}\\).", "Take \\(\\dfrac{1}{4}\\) of that remainder."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Printed Q11 [3m]. Fraction answer -> MCQ (FIB cannot hold a fraction). Answer key working: 9/10 - 6/10 = 3/10; 3/10 x 1/4 = 3/40 kg."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Anika and Krishnan had a total of $322 at first. After Anika received $74 from her mother and Krishnan spent half of his money, they had the same amount of money. How much money did Anika have at first?<br>Ans: $[?]",
      "answer0": "58",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "After the changes the total money is \\($322 + $74 = $396\\) (Krishnan spends so the spent half leaves his money, but the new total used in the key is $396 representing 3 equal units of the matched final amounts plus Anika's start relation). Per the answer key: \\($322 + $74 = $396\\); this is 3 units (Anika's final = Krishnan's final, and Krishnan's final is half his start), so 1 unit = \\($396 \\div 3 = $132\\); Anika at first = \\($132 - $74 = $58\\). Answer: $58.",
      "hints": ["Add the $74 Anika received to the $322 to get $396.", "$396 is 3 equal units; 1 unit = $132, then subtract the $74 Anika received."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Printed Q12 [3m]. Integer/money answer -> FIB. Answer key working: 322+74=396, 396/3=132, 132-74=$58."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "At a book fair, 210 books were sold on the first day. \\(\\dfrac{2}{5}\\) of the remaining books were sold on the second day and the rest of the books were not sold. \\(\\dfrac{1}{4}\\) of the total number of books were not sold. How many books were sold on the second day?<br>Ans: [?]",
      "answer0": "60",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Let the total be in 20ths. Books not sold = \\(\\dfrac{1}{4} = \\dfrac{3}{12}\\) of the total; of the remaining after day 1, \\(\\dfrac{2}{5}\\) were sold on day 2 and \\(\\dfrac{3}{5}\\) were not sold. Per the key, comparing units gives \\(12 - 5 = 7\\) units = the 210 first-day books, so 1 unit = \\(210 \\div 7 = 30\\); second day (2 units) = \\(30 \\times 2 = 60\\). Answer: 60.",
      "hints": ["Express the not-sold fraction \\(\\dfrac{1}{4}\\) and the remaining over a common number of units.", "The 210 first-day books equal 7 units; 1 unit = 30, so day 2 = 2 units."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Printed Q13 [4m]. Integer answer -> FIB. Answer key working: 1/4 = 3/12; 12 - 5 = 7; 210/7 = 30; 30 x 2 = 60."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "Natalie bought some packets of potato chips. Large packets: 3 packets for $8. Small packets: 4 packets for $6. She spent an equal amount of money on the large and small packets of potato chips. She bought 35 more small packets than large packets. Find the cost of 9 large packets of potato chips.<br>Ans: $[?]",
      "answer0": "24",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "Large packets are 3 for $8, so 9 large packets = \\(3 \\times 3 = 9\\) packets cost \\(3 \\times $8 = $24\\). Answer: $24.",
      "hints": ["9 large packets is 3 groups of 3 packets.", "Each group of 3 costs $8."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Printed Q14(a) [1m]. Price chart values transcribed into the stem so no image is needed. Integer/money answer -> FIB. Answer key working: 3 x 3 = 9 packets, 8 x 3 = $24."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Natalie bought some packets of potato chips. Large packets: 3 packets for $8. Small packets: 4 packets for $6. She spent an equal amount of money on the large and small packets of potato chips. She bought 35 more small packets than large packets. How many packets of potato chips did Natalie buy altogether?<br>Ans: [?]",
      "answer0": "125",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "For an equal amount of money, buying in matched dollar amounts: $24 buys 9 large (3 groups of 3) and $24 buys 16 small (4 groups of 4). The difference per matched $24 spend is \\(16 - 9 = 7\\) packets. To reach 35 more small than large, \\(35 \\div 7 = 5\\) matched lots are needed. Total small = \\(16 \\times 5 = 80\\), total large = \\(9 \\times 5 = 45\\)... but the key takes total per lot \\(= 16 + 9 = 25\\) packets \\(\\times 5 = 125\\). Answer: 125.",
      "hints": ["For each $24 spent on each type, large = 9 packets and small = 16 packets, a difference of 7.", "35 \\(\\div\\) 7 = 5 matched lots; total packets = (9 + 16) \\(\\times\\) 5 = 125."],
      "source": "Raffles 2025 P5 Weighted Assessment 1 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Printed Q14(b) [3m]. Integer answer -> FIB. Answer key working: 16 - 9 = 7; 35/7 = 5; 25 x 5 = 125."
    }
  ]
}