{
  "paper": {
    "school": "Raffles Girls' Primary School",
    "year": 2024,
    "level": "P6",
    "label": "Weighted Assessment 1",
    "source_prefix": "Raffles Girls 2024 P6 Weighted Assessment 1",
    "has_answer_key": false,
    "notes": "NO printed answer key in the PDF -- every answer solved by the agent. Single paper, 14 questions: Q1-5 (1 mark), Q6-11 (2 marks), Q12-14 (structured). Fraction/mixed-number/ordering answers rendered as MCQ per spec."
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "Write one million, forty thousand and twelve in numerals. [?]",
      "answer0": "1 040 012",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 149,
      "difficulty_id": 1,
      "explanation": "One million = 1 000 000, forty thousand = 40 000, twelve = 12. Together: 1 040 012.",
      "hints": ["Write each place-value part.", "Add 1 000 000 + 40 000 + 12."],
      "source": "Raffles Girls 2024 P6 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "No answer key -- solved."
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "Use all the digits 7, 0, 8 and 5 to form the largest 4-digit odd number. [?]",
      "answer0": "8705",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 149,
      "difficulty_id": 2,
      "explanation": "An odd number must end in an odd digit (5 or 7). To be largest, put the biggest digits in front: 8, 7, then 0, and end in the odd digit 5 → 8705.",
      "hints": ["The last digit must be odd.", "Place the largest digits first."],
      "source": "Raffles Girls 2024 P6 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "No answer key -- solved."
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "How many sixths are there in \\(3\\dfrac{5}{6}\\)? [?]",
      "answer0": "23",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 159,
      "difficulty_id": 1,
      "explanation": "\\(3\\dfrac{5}{6} = \\dfrac{3\\times 6 + 5}{6} = \\dfrac{23}{6}\\), so there are 23 sixths.",
      "hints": ["Convert the mixed number to an improper fraction over 6.", "The numerator is the number of sixths."],
      "source": "Raffles Girls 2024 P6 Weighted Assessment 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "No answer key -- solved."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Rui Qi prepared 9 litres of fruit juice for a party. She poured the fruit juice equally into 24 cups. How many litres of fruit juice were there in each cup? Give your answer as a fraction in the simplest form.",
      "answer0": "\\(\\dfrac{3}{8}\\)",
      "answer1": "\\(\\dfrac{9}{24}\\)",
      "answer2": "\\(\\dfrac{8}{3}\\)",
      "answer3": "\\(\\dfrac{1}{3}\\)",
      "correct_answer": 0,
      "skill_id": 157,
      "difficulty_id": 1,
      "explanation": "9 ÷ 24 = \\(\\dfrac{9}{24} = \\dfrac{3}{8}\\) litre per cup.",
      "hints": ["Divide 9 by 24.", "Simplify \\(\\dfrac{9}{24}\\)."],
      "source": "Raffles Girls 2024 P6 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "No answer key -- solved. Fraction answer -> MCQ. (Answer in litres.)"
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "On Saturday, Jun Jie jogged for a distance of \\(7\\dfrac{1}{8}\\) km. He jogged \\(1\\dfrac{4}{5}\\) km shorter on Saturday than on Sunday. How far did he jog on Sunday? Give your answer as a mixed number.",
      "answer0": "\\(8\\dfrac{37}{40}\\)",
      "answer1": "\\(5\\dfrac{13}{40}\\)",
      "answer2": "\\(8\\dfrac{5}{13}\\)",
      "answer3": "\\(9\\dfrac{3}{40}\\)",
      "correct_answer": 0,
      "skill_id": 160,
      "difficulty_id": 2,
      "explanation": "Saturday is shorter, so Sunday = Saturday + \\(1\\dfrac{4}{5}\\) = \\(7\\dfrac{1}{8} + 1\\dfrac{4}{5}\\). Common denominator 40: \\(7\\dfrac{5}{40} + 1\\dfrac{32}{40} = 8\\dfrac{37}{40}\\) km.",
      "hints": ["Sunday's distance is the longer one, so add.", "Use a common denominator of 40."],
      "source": "Raffles Girls 2024 P6 Weighted Assessment 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "No answer key -- solved. Mixed-number answer -> MCQ per spec. (Answer in km.)"
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Arrange these fractions from the largest to the smallest.<br>\\(\\dfrac{10}{9}\\), \\(1\\dfrac{1}{11}\\), \\(\\dfrac{7}{6}\\)",
      "answer0": "\\(\\dfrac{7}{6}\\), \\(\\dfrac{10}{9}\\), \\(1\\dfrac{1}{11}\\)",
      "answer1": "\\(\\dfrac{10}{9}\\), \\(\\dfrac{7}{6}\\), \\(1\\dfrac{1}{11}\\)",
      "answer2": "\\(1\\dfrac{1}{11}\\), \\(\\dfrac{10}{9}\\), \\(\\dfrac{7}{6}\\)",
      "answer3": "\\(\\dfrac{7}{6}\\), \\(1\\dfrac{1}{11}\\), \\(\\dfrac{10}{9}\\)",
      "correct_answer": 0,
      "skill_id": 158,
      "difficulty_id": 2,
      "explanation": "As decimals: \\(\\dfrac{10}{9}\\approx 1.111\\), \\(1\\dfrac{1}{11}\\approx 1.091\\), \\(\\dfrac{7}{6}\\approx 1.167\\). Largest to smallest: \\(\\dfrac{7}{6}\\), \\(\\dfrac{10}{9}\\), \\(1\\dfrac{1}{11}\\).",
      "hints": ["Convert each to a decimal.", "Order from biggest down."],
      "source": "Raffles Girls 2024 P6 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "No answer key -- solved. Ordering of fractions -> MCQ."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "In the number line, what is the mixed number represented by A? Give your answer in the simplest form.",
      "answer0": "\\(4\\dfrac{1}{4}\\)",
      "answer1": "\\(4\\dfrac{1}{8}\\)",
      "answer2": "\\(4\\dfrac{2}{8}\\)",
      "answer3": "\\(4\\dfrac{1}{2}\\)",
      "correct_answer": 0,
      "skill_id": 159,
      "difficulty_id": 2,
      "explanation": "From 4 to 6 there are 8 equal intervals, so each interval is 0.25. A is 1 interval past 4 = 4.25 = \\(4\\dfrac{1}{4}\\).",
      "hints": ["Count how many intervals lie between 4 and 6.", "Find the size of one interval, then locate A."],
      "source": "Raffles Girls 2024 P6 Weighted Assessment 1 Q7",
      "image_needed": true,
      "image_page": 5,
      "image_bbox": [0.2, 0.12, 0.78, 0.24],
      "image_loc": "number line from 4 to 6 with arrow A near 4",
      "image_options": false,
      "image_file": "q7.png",
      "notes": "No answer key -- solved; mixed-number answer -> MCQ. Verify the interval count (8 intervals) against the figure."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Arjun paid $432 for a dining table and 4 identical chairs. The price of each chair was \\(\\dfrac{1}{5}\\) of the price of the dining table. How much did Arjun pay for the dining table? [?]",
      "answer0": "240",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 2,
      "explanation": "Let the table = 5 units, so each chair = 1 unit. Total = 5 + 4 = 9 units = $432, so 1 unit = $48. Table = 5 units = $240.",
      "hints": ["Make the table 5 units and a chair 1 unit.", "Total = 9 units = $432."],
      "source": "Raffles Girls 2024 P6 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "No answer key -- solved. Answer in dollars: $240."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "A departmental store gives a discount of $4 for every $25 spent. The jacket costs $189 before discount. What is the price of the jacket after discount? [?]",
      "answer0": "161",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 176,
      "difficulty_id": 2,
      "explanation": "$189 contains 7 complete lots of $25 (7 × 25 = 175). Discount = 7 × $4 = $28. Price after discount = $189 − $28 = $161.",
      "hints": ["Count how many complete $25 are in $189.", "Each $25 gives $4 off."],
      "source": "Raffles Girls 2024 P6 Weighted Assessment 1 Q9",
      "image_needed": true,
      "image_page": 6,
      "image_bbox": [0.2, 0.13, 0.46, 0.26],
      "image_loc": "jacket with $189 price tag",
      "image_options": false,
      "image_file": "q9.png",
      "notes": "No answer key -- solved. Discount applies per complete $25 spent (7 lots). Answer in dollars: $161."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "The first 15 numbers of a number pattern are: 5, 2, 7, 0, 1, 5, 2, 7, 0, 1, 5, 2, 7, 0, 1 .... What is the sum of the first 124 numbers? [?]",
      "answer0": "374",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 155,
      "difficulty_id": 3,
      "explanation": "The block 5, 2, 7, 0, 1 (sum 15) repeats every 5 numbers. 124 = 24 full blocks (120 numbers) + 4 extra. 24 × 15 = 360. The next 4 numbers are 5, 2, 7, 0 = 14. Total = 360 + 14 = 374.",
      "hints": ["The pattern repeats every 5 numbers (sum 15).", "Find full blocks and the leftover numbers."],
      "source": "Raffles Girls 2024 P6 Weighted Assessment 1 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "No answer key -- solved."
    },
    {
      "n": 11,
      "type_id": 1,
      "question": "Shelly had some chocolate and vanilla cupcakes. She sold \\(\\dfrac{2}{7}\\) of the chocolate cupcakes and \\(\\dfrac{3}{8}\\) of the vanilla cupcakes. \\(\\dfrac{4}{7}\\) of the cupcakes sold were chocolate cupcakes. What fraction of the cupcakes did she sell altogether?",
      "answer0": "\\(\\dfrac{7}{22}\\)",
      "answer1": "\\(\\dfrac{4}{7}\\)",
      "answer2": "\\(\\dfrac{5}{14}\\)",
      "answer3": "\\(\\dfrac{7}{8}\\)",
      "correct_answer": 0,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Let chocolate = C, vanilla = V. Sold chocolate = \\(\\dfrac{2}{7}\\)C is \\(\\dfrac{4}{7}\\) of all sold, so total sold = \\(\\dfrac{2}{7}C \\div \\dfrac{4}{7} = \\dfrac{1}{2}C\\). Then sold vanilla = \\(\\dfrac{1}{2}C - \\dfrac{2}{7}C = \\dfrac{3}{14}C = \\dfrac{3}{8}V\\), giving \\(C = \\dfrac{7}{4}V\\). Total cupcakes = C + V = \\(\\dfrac{11}{4}V\\); total sold = \\(\\dfrac{1}{2}C = \\dfrac{7}{8}V\\). Fraction sold = \\(\\dfrac{7}{8}V \\div \\dfrac{11}{4}V = \\dfrac{7}{22}\\).",
      "hints": ["Sold chocolate is \\(\\dfrac{4}{7}\\) of all sold — find total sold in terms of C.", "Relate C and V, then divide total sold by total cupcakes."],
      "source": "Raffles Girls 2024 P6 Weighted Assessment 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "No answer key -- solved. Fraction answer -> MCQ."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Aminah, Belinda and Devi had a total of 1209 beads at first. They used the same number of beads to make necklaces. Aminah used \\(\\dfrac{3}{5}\\) of her beads, Belinda used \\(\\dfrac{2}{3}\\) of her beads and Devi used \\(\\dfrac{1}{2}\\) of her beads. How many beads did they use altogether to make the necklaces? [?]",
      "answer0": "702",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Each used the same number n. Aminah = \\(n \\div \\dfrac{3}{5} = \\dfrac{5n}{3}\\), Belinda = \\(n \\div \\dfrac{2}{3} = \\dfrac{3n}{2}\\), Devi = \\(n \\div \\dfrac{1}{2} = 2n\\). Sum = \\(\\dfrac{5n}{3} + \\dfrac{3n}{2} + 2n = \\dfrac{31n}{6} = 1209\\) → n = 234. Total used = 3n = 702.",
      "hints": ["Write each girl's total beads in terms of the equal amount used, n.", "Total used = 3 × n."],
      "source": "Raffles Girls 2024 P6 Weighted Assessment 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "No answer key -- solved."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "6 identical grey equilateral triangles are used to form Figure 1 (a six-pointed star). Dots are placed at an equal distance from each other along the sides of each triangle; the number of dots on each side is the same and each corner has a dot on it.<br>(a) Figure 2 shows a section of Figure 1 with 3 dots on each side of a grey triangle. How many dots will there be altogether in Figure 1? [?]<br>(b) When there are 102 dots in Figure 1, how many dots are there on each side of a grey triangle? [?]",
      "answer0": "30",
      "answer1": "7",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 240,
      "difficulty_id": 3,
      "explanation": "Each triangle with d dots per side has 3(d − 1) distinct dots (corners shared within the triangle). The 6 triangles share 6 inner corner dots (each shared by 2 triangles), so total = 6 × 3(d − 1) − 6 = 18(d − 1) − 6 = 18d − 24. (a) With d = 3: 18 × 3 − 24 = 30. (b) 18d − 24 = 102 → 18d = 126 → d = 7.",
      "hints": ["Count distinct dots per triangle: 3(d − 1).", "Subtract the shared inner-corner dots, then form the rule."],
      "source": "Raffles Girls 2024 P6 Weighted Assessment 1 Q13",
      "image_needed": true,
      "image_page": 9,
      "image_bbox": [0.14, 0.12, 0.78, 0.34],
      "image_loc": "Figure 1 six-pointed star of 6 grey triangles with dots; Figure 2 close-up of one triangle",
      "image_options": false,
      "image_file": "q13.png",
      "notes": "No answer key -- solved; figure-dependent dot-counting. Both answers come out whole (a=30, b=7), which is a good consistency check, but verify the dot layout/sharing against the actual figure. answer0=(a), answer1=(b)."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "The table shows ticket prices: Adult $30, Senior Citizen $18, Student $12. The number of student tickets sold was \\(\\dfrac{5}{11}\\) of the number of adult tickets sold. \\(\\dfrac{1}{9}\\) of the tickets sold were senior citizen tickets. A total of $9372 was collected.<br>(a) What fraction of the tickets sold were student tickets?<br>(b) What was the total number of tickets sold?",
      "answer0": "(a) \\(\\dfrac{5}{18}\\)   (b) 396",
      "answer1": "(a) \\(\\dfrac{5}{11}\\)   (b) 396",
      "answer2": "(a) \\(\\dfrac{5}{18}\\)   (b) 264",
      "answer3": "(a) \\(\\dfrac{11}{18}\\)   (b) 396",
      "correct_answer": 0,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Let total tickets = T. Senior = \\(\\dfrac{1}{9}T = \\dfrac{2}{18}T\\). Student = \\(\\dfrac{5}{11}\\) × adult; with adult + student = T − senior = \\(\\dfrac{8}{9}T\\) and student : adult = 5 : 11, adult = \\(\\dfrac{11}{18}T\\), student = \\(\\dfrac{5}{18}T\\). (a) Student fraction = \\(\\dfrac{5}{18}\\). (b) Money: 30(\\(\\dfrac{11}{18}T\\)) + 18(\\(\\dfrac{2}{18}T\\)) + 12(\\(\\dfrac{5}{18}T\\)) = \\(\\dfrac{426T}{18}\\) = 9372 → T = 396.",
      "hints": ["Express adult, senior and student as fractions of the total T.", "Set up the money equation and solve for T."],
      "source": "Raffles Girls 2024 P6 Weighted Assessment 1 Q14",
      "image_needed": true,
      "image_page": 10,
      "image_bbox": [0.24, 0.1, 0.74, 0.2],
      "image_loc": "ticket-price table (Adult, Senior Citizen, Student)",
      "image_options": false,
      "image_file": "q14.png",
      "notes": "No answer key -- solved. Multi-part: (a) fraction -> not FIB, so the whole question is rendered as MCQ combining (a) 5/18 and (b) 396 tickets."
    }
  ]
}