{
  "paper": {
    "school": "Tao Nan",
    "year": 2025,
    "level": "P4",
    "label": "Weighted Assessment 2",
    "source_prefix": "Tao Nan 2025 P4 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "At a stationery shop, ribbons are sold by the piece. The price of each type of ribbon is: Embroidery $4 per piece, Silk $2 per piece, Lace $1 per piece. Trisha and Kate have a total of $21 to spend on ribbons. Trisha bought 3 pieces of silk ribbon. How much money is left for Kate to spend? $[?]",
      "answer0": "15",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 1,
      "explanation": "Method: cost of silk = price x quantity, then subtract from total. Silk: $$\\$2 \\times 3 = \\$6$$. Money left for Kate $$= \\$21 - \\$6 = \\$15$$. Answer: $15.",
      "hints": [
        "First find how much Trisha spent: $$\\$2 \\times 3$$.",
        "Subtract Trisha's spending from the $21 total to find what is left."
      ],
      "source": "Tao Nan 2025 P4 Weighted Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Task 1(a). Definite value answer $15 (key: $2x3=$6, $21-$6=$15). Converted to FIB. Decorative bow clip-art on page is non-informational; no figure needed."
    },
    {
      "n": 2,
      "type_id": 0,
      "question": "Ribbon prices: Embroidery $4, Silk $2, Lace $1 per piece. Kate has $15 left to spend (from Task 1a) and must spend all of it. Scenario 1: Kate must buy all three types of ribbons. Complete the table showing the number of pieces of each ribbon and the total amount spent.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "Kate must spend exactly $15 and include all three ribbon types. One valid solution (from key): Embroidery $$\\$4 \\times 3 = \\$12$$, Silk $$\\$2 \\times 1 = \\$2$$, Lace $$\\$1 \\times 1 = \\$1$$, total $$\\$12 + \\$2 + \\$1 = \\$15$$. Many other combinations also work (e.g. Embroidery 1, Silk 4, Lace 5 = $4+$8+$3=$15).",
      "hints": [
        "All three quantities must be at least 1.",
        "The amounts must add up to exactly $15."
      ],
      "source": "Tao Nan 2025 P4 Weighted Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Task 1(b) Scenario 1. Open-ended constructed-response table with multiple valid answers; not a single definite value, so type_id 0 (skipped on insert). Key sample answer: Embroidery 3, Silk 1, Lace 1 = $15."
    },
    {
      "n": 3,
      "type_id": 0,
      "question": "Ribbon prices: Embroidery $4, Silk $2, Lace $1 per piece. Kate has $15 left to spend and must spend all of it. Scenario 2: Kate must buy the greatest number of ribbons possible and include at least two different types of ribbons. Complete the table showing the number of pieces of each ribbon and the total amount spent.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "To maximise the number of ribbons while spending exactly $15 with at least two types, buy as many of the cheapest ribbon (lace, $1) as possible. Key answer: Lace $$\\$1 \\times 13 = \\$13$$, Silk $$\\$2 \\times 1 = \\$2$$, total $$\\$13 + \\$2 = \\$15$$, giving 14 ribbons. (Using lace + 1 silk maximises the count; 14 ribbons is the most achievable here.)",
      "hints": [
        "Buy as many of the cheapest ribbon as you can to get the most pieces.",
        "You still need at least one piece of a second type, and the total must be exactly $15."
      ],
      "source": "Tao Nan 2025 P4 Weighted Assessment 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Task 1(b) Scenario 2. Open-ended optimisation/constructed-response table; type_id 0 (skipped on insert). Key answer: Lace 13, Silk 1 = $15 (14 ribbons)."
    },
    {
      "n": 4,
      "type_id": 0,
      "question": "Looking at Kate's two ribbon combinations (Scenario 1 and Scenario 2), which types of ribbon appear in both combinations? Give a reason why.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "Comparing the two combinations: Silk and Lace appear in both (Scenario 1 uses Embroidery, Silk, Lace; Scenario 2 uses Lace and Silk). Key answer: Ribbon type 1 = Lace, Ribbon type 2 = Silk; reason: due to their low cost, so they help make up the exact $15 and allow more pieces to be bought.",
      "hints": [
        "List the ribbon types used in each of your two combinations.",
        "Find the types that are common to both, then think about why cheaper ribbons are used."
      ],
      "source": "Tao Nan 2025 P4 Weighted Assessment 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Task 1(c). Answer depends on the student's own Scenario 1/2 tables and requires a written reason; type_id 0 (skipped on insert). Key: Lace and Silk, 'due to the low cost'."
    },
    {
      "n": 5,
      "type_id": 0,
      "question": "Aisha has $20 to buy ribbons for a special project. Ribbon prices: Embroidery $4, Silk $2, Lace $1 per piece. Show two different combinations of ribbons that each meet these conditions: the total cost is as close as possible to $20; at least two different types of ribbon are included; silk ribbon must be included. Give Combination 1 and Combination 2.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Each combination must total as close to $20 as possible (exactly $20 is achievable), include silk, and use at least two types. Key answers: Combination 1 = Lace $$\\$1 \\times 8 = \\$8$$, Silk $$\\$2 \\times 4 = \\$8$$, Embroidery $$\\$4 \\times 1 = \\$4$$, total $$\\$8 + \\$8 + \\$4 = \\$20$$. Combination 2 = Lace $$\\$1 \\times 18 = \\$18$$, Silk $$\\$2 \\times 1 = \\$2$$, total $$\\$18 + \\$2 = \\$20$$. Both reach exactly $20 and include silk.",
      "hints": [
        "Every combination must include silk and at least one other ribbon type.",
        "Adjust the quantities so each total is as close to $20 as possible (exactly $20 if you can)."
      ],
      "source": "Tao Nan 2025 P4 Weighted Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Task 2(a)/(b). Open-ended constructed-response, two combinations with multiple valid answers; type_id 0 (skipped on insert). Key: Combo1 Lace8/Silk4/Embroidery1=$20; Combo2 Lace18/Silk1=$20."
    },
    {
      "n": 6,
      "type_id": 0,
      "question": "Looking at your two ribbon combinations for Aisha, which is a better combination? Give a reason why.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "Compare the two combinations on cost (both should total close to $20) and number of ribbons. Key answer: Combination 2 is better because it has a bigger quantity of ribbons (19 pieces) than Combination 1 (13 pieces) for the same $20 total.",
      "hints": [
        "Count the total number of ribbons in each combination.",
        "A 'better' combination spends close to $20 while giving more value, such as more ribbons."
      ],
      "source": "Tao Nan 2025 P4 Weighted Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Task 2(c). Justification question depending on the student's own Combination 1/2; type_id 0 (skipped on insert). Key: Combination 2, has a bigger quantity than Combination 1."
    }
  ]
}