{
  "paper": {
    "school": "Ai Tong",
    "year": 2025,
    "level": "P5",
    "label": "Weighted Assessment 3",
    "source_prefix": "Ai Tong 2025 P5 Weighted Assessment 3",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "The mass of 15 identical light bulbs is 3.75 kg. What is the mass of one light bulb? Express your answer in grams.<br>Ans: [?] g",
      "answer0": "250",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 2,
      "explanation": "Mass of one bulb = \\(3.75 \\div 15 = 0.25\\) kg. Converting to grams: \\(0.25 \\times 1000 = 250\\) g. Answer: 250 g.",
      "hints": ["Divide the total mass by 15 to get the mass of one bulb in kg.", "Convert kilograms to grams: \\(\\times 1000\\)."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Section A Q1 [2m]. Integer answer (in g) -> FIB. Answer key working: 3.75/15=0.25 kg = 250 g."
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "Jasmine is able to type 180 words in 5 minutes. At this rate, how many words can she type in 1 hour?<br>Ans: [?]",
      "answer0": "2160",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "1 hour = 60 minutes, which is \\(60 \\div 5 = 12\\) lots of 5 minutes. So she types \\(180 \\times 12 = 2160\\) words. Answer: 2160.",
      "hints": ["Find how many 5-minute periods are in 1 hour (60 min).", "Multiply 180 by that number."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Section A Q2 [2m]. Integer answer -> FIB. Answer key working: 60/5=12, 180x12=2160."
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "Express 0.3 as a percentage.<br>Ans: [?] %",
      "answer0": "30",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 173,
      "difficulty_id": 1,
      "explanation": "To convert a decimal to a percentage, multiply by 100%: \\(0.3 \\times 100\\% = 30\\%\\). Answer: 30%.",
      "hints": ["Multiply the decimal by 100 to get the percentage.", "\\(0.3 \\times 100 = 30\\)."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Section A Q3(a) [part of 2m]. Integer percentage -> FIB. Answer key: 30%."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "The figure is made up of 6 identical squares. What percentage of the figure is shaded?<br>Ans: [?] %",
      "answer0": "25",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 171,
      "difficulty_id": 2,
      "explanation": "The shaded area is one full square plus one half-square triangle, which is \\(1\\dfrac{1}{2}\\) squares out of 6. So the shaded fraction = \\(\\dfrac{1.5}{6} = \\dfrac{1}{4} = 25\\%\\). Answer: 25%.",
      "hints": ["Count the shaded parts in terms of whole squares (a triangle is half a square).", "Write the shaded amount as a fraction of 6 squares, then convert to a percentage."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q3",
      "image_needed": true,
      "image_options": false,
      "image_file": "q4.png",
      "image_page": 2,
      "image_bbox": [0.38, 0.26, 0.66, 0.40],
      "notes": "Section A Q3(b) [part of 2m]. Integer percentage -> FIB. Grid of 6 identical squares with one shaded square and one shaded triangle. Answer key: 25%."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "Find \\(\\angle x\\).<br>Ans: [?]°",
      "answer0": "121",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 194,
      "difficulty_id": 2,
      "explanation": "The angles around the point add up to 360°. The other marked angles are 27°, a right angle (90°) and 32°, so \\(\\angle x = 360° - 27° - 90° - 32° = 121°\\). Answer: 121°.",
      "hints": ["Angles around a point add up to 360°.", "Subtract 27°, 90° and 32° from 360°."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q4",
      "image_needed": true,
      "image_options": false,
      "image_file": "q5.png",
      "image_page": 2,
      "image_bbox": [0.38, 0.58, 0.66, 0.74],
      "notes": "Section A Q4(a) [part of 2m]. Integer answer -> FIB. Angles around a point with 27°, right angle, 32° and unknown x. Answer key: 360-27-90-32=121°."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "XYZ is a straight line. Find \\(\\angle k\\).<br>Ans: [?]°",
      "answer0": "35",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 194,
      "difficulty_id": 2,
      "explanation": "The angles on the straight line XYZ at point Y add up to 180°. With the 129° and 16° angles given, \\(\\angle k = 180° - 129° - 16° = 35°\\). Answer: 35°.",
      "hints": ["Angles on a straight line add up to 180°.", "Subtract the 129° and 16° angles from 180°."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q4",
      "image_needed": true,
      "image_options": false,
      "image_file": "q6.png",
      "image_page": 3,
      "image_bbox": [0.30, 0.12, 0.72, 0.27],
      "notes": "Section A Q4(b) [part of 2m]. Integer answer -> FIB. Straight line XYZ with 129°, 16° and unknown k at Y. Answer key: 180-129-16=35°."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "There are 250 pens in a box. 74% of them are red pens and the rest are green pens. How many green pens are there in the box?<br>Ans: [?]",
      "answer0": "65",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 174,
      "difficulty_id": 2,
      "explanation": "Red pens = \\(74\\% \\times 250 = \\dfrac{74}{100} \\times 250 = 185\\). Green pens = \\(250 - 185 = 65\\). Answer: 65.",
      "hints": ["Find 74% of 250 to get the number of red pens.", "Subtract the red pens from 250."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Section A Q5(a) [part of 2m]. Integer answer -> FIB. Answer key working: 74/100 x 250 = 185, 250-185=65."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "There were 189 girls and 126 boys at a school camp. What percentage of the total number of children at the camp were girls?<br>Ans: [?] %",
      "answer0": "60",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 171,
      "difficulty_id": 2,
      "explanation": "Total children = \\(189 + 126 = 315\\). Percentage that are girls = \\(\\dfrac{189}{315} \\times 100\\% = 60\\%\\). Answer: 60%.",
      "hints": ["Find the total number of children first.", "Percentage of girls = \\(\\dfrac{189}{315} \\times 100\\%\\)."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Section A Q5(b) [part of 2m]. Integer percentage -> FIB. Answer key working: 189+126=315, 189/315 x 100 = 60%."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "AD, CF and BE are straight lines. \\(\\angle AOE\\) is 157° and \\(\\angle BOF\\) is 128°. Find \\(\\angle EOD\\).<br>Ans: [?]°",
      "answer0": "23",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 194,
      "difficulty_id": 2,
      "explanation": "AD is a straight line through O, so \\(\\angle AOE\\) and \\(\\angle EOD\\) are angles on a straight line: \\(\\angle EOD = 180° - \\angle AOE = 180° - 157° = 23°\\). Answer: 23°.",
      "hints": ["AOD is a straight line, so \\(\\angle AOE + \\angle EOD = 180°\\).", "Subtract 157° from 180°."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q6",
      "image_needed": true,
      "image_options": false,
      "image_file": "q9.png",
      "image_page": 4,
      "image_bbox": [0.30, 0.21, 0.72, 0.44],
      "notes": "Section B Q6(a) [1m]. Integer answer -> FIB. Three straight lines AD, CF, BE through O; angle AOE=157°, angle BOF=128°. Answer key: 180-157=23°."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "AD, CF and BE are straight lines. \\(\\angle AOE\\) is 157° and \\(\\angle BOF\\) is 128°. Find \\(\\angle AOF\\).<br>Ans: [?]°",
      "answer0": "105",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 194,
      "difficulty_id": 3,
      "explanation": "BF is a straight line through O, so \\(\\angle BOF\\) and \\(\\angle FOE... \\). Using the key's method: \\(\\angle FOD = 180° - \\angle BOF = 180° - 128° = 52°\\) (angles on line BOE/FOC). Then \\(\\angle AOF = 180° - \\angle FOD - \\angle EOD = 180° - 52° - 23° ... \\) on the straight line, giving \\(\\angle AOF = 180° - 52° - 23° = 105°\\). Answer: 105°.",
      "hints": ["First find the angle adjacent to \\(\\angle BOF\\) on the straight line: \\(180° - 128° = 52°\\).", "Use angles on the straight line through O with \\(\\angle EOD = 23°\\): \\(180° - 52° - 23° = 105°\\)."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q6",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 4,
      "image_bbox": [0.30, 0.21, 0.72, 0.44],
      "notes": "Section B Q6(b) [2m]. Integer answer -> FIB. Answer key working: 180-128=52, 180-52-23=105°. Same figure as Q9 (Q6(a))."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "The pie chart shows how Mrs Chin spent her money: Book 9%, Food 36%, and the remaining on Clothes and Transport. Transport is 25%. What percentage of Mrs Chin's money was spent on books and clothes?<br>Ans: [?] %",
      "answer0": "39",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 235,
      "difficulty_id": 2,
      "explanation": "The whole pie chart is 100%. Transport = 25% and Food = 36%, so Books + Clothes = \\(100\\% - 25\\% - 36\\% = 39\\%\\). Answer: 39%.",
      "hints": ["All the parts of a pie chart add up to 100%.", "Books + Clothes = \\(100\\% - \\text{Transport} - \\text{Food} = 100 - 25 - 36\\)."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q11.png",
      "image_page": 5,
      "image_bbox": [0.34, 0.08, 0.66, 0.32],
      "notes": "Section B Q7(a) [1m]. Integer percentage -> FIB. Pie chart: Book 9%, Food 36%, Clothes and Transport (Transport=25%). Answer key: 100-25-36=39%."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "The pie chart shows how Mrs Chin spent her money, with Food being 36%. Mrs Chin spent a total of $350. How much money did she spend on food?<br>Ans: $[?]",
      "answer0": "126",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 236,
      "difficulty_id": 2,
      "explanation": "1% of the total = \\(350 \\div 100 = \\$3.50\\). Food is 36%, so money spent on food = \\(3.50 \\times 36 = \\$126\\). Answer: $126.",
      "hints": ["Find 1% of $350 first.", "Multiply by 36 since Food is 36%."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q12.png",
      "image_page": 5,
      "image_bbox": [0.34, 0.08, 0.66, 0.32],
      "notes": "Section B Q7(b) [2m]. Money answer -> FIB. Answer key working: 350/100=3.5, 3.5x36=$126. Same pie chart as Q11 (Q7(a))."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "There is a sale at ABC Fashion: the 1st dress is at 10% discount and the 2nd dress is at 15% discount, where the price of the 2nd dress should be equal to or lower than the price of the 1st dress. Cassandra bought two dresses with usual prices of $60 and $89. How much did she pay for the two dresses after the discount?<br>Ans: $[?]",
      "answer0": "131.10",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 176,
      "difficulty_id": 3,
      "explanation": "To pay the least, the 15% discount (bigger) should go on a dress whose price is equal to or lower than the 1st dress. Take the $89 dress as the 1st dress at 10% off: \\(89 \\times 0.90 = \\$80.10\\). Take the $60 dress as the 2nd dress at 15% off: \\(60 \\times 0.85 = \\$51\\) (and $51 is lower than $80.10, satisfying the rule). Total = \\(80.10 + 51 = \\$131.10\\). Answer: $131.10.",
      "hints": ["The 2nd (15%-off) dress's discounted price must be equal to or lower than the 1st dress's price.", "$89 at 10% off = $80.10; $60 at 15% off = $51; add them."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q13.png",
      "image_page": 6,
      "image_bbox": [0.30, 0.28, 0.70, 0.46],
      "notes": "Section B Q8 [3m]. Money answer -> FIB. Two dresses ($60 and $89) figure. Answer key working: 89x0.9=80.10, 60x0.85=51, 80.10+51=$131.10."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "The figure shows an empty tank measuring 60 cm by 24 cm by 35 cm. At 3 p.m., tap A was turned on. Water flowed into the tank from tap A at a rate of 1.4 ℓ per minute. After 6 minutes, tap B was turned on. Water flowed into the tank from tap B at a rate of 1.6 ℓ per minute. At what time was the tank completely filled without overflowing?",
      "answer0": "3:20 p.m.",
      "answer1": "3:18 p.m.",
      "answer2": "3:24 p.m.",
      "answer3": "3:26 p.m.",
      "correct_answer": 0,
      "skill_id": 191,
      "difficulty_id": 3,
      "explanation": "Tank volume = \\(60 \\times 24 \\times 35 = 50\\,400\\) cm³ = 50.4 ℓ. For the first 6 minutes only tap A runs: \\(1.4 \\times 6 = 8.4\\) ℓ. Remaining = \\(50.4 - 8.4 = 42\\) ℓ. With both taps on, the rate is \\(1.4 + 1.6 = 3\\) ℓ/min, so it takes \\(42 \\div 3 = 14\\) more minutes. Total time = \\(6 + 14 = 20\\) minutes after 3 p.m., i.e. 3:20 p.m. Answer: 3:20 p.m.",
      "hints": ["Find the tank volume in litres, then the amount tap A adds in the first 6 minutes.", "Both taps together fill 3 ℓ/min; divide the remaining volume by 3 and add to 3 p.m. plus 6 min."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q14.png",
      "image_page": 7,
      "image_bbox": [0.34, 0.18, 0.68, 0.40],
      "notes": "Section B Q9 [3m]. Answer is a clock time -> rendered as MCQ (time format, not a plain number). Answer key: 3:20 p.m. Figure: rectangular tank 60x24x35 cm with taps A and B."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "The taxi charges are $4.10 for the first 1 km and $0.25 for every additional 400 m or part thereof. Huimin travelled 2.3 km by taxi from a shopping mall to her home. How much was her taxi fare?<br>Ans: $[?]",
      "answer0": "5.10",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 175,
      "difficulty_id": 2,
      "explanation": "First 1 km costs $4.10. The remaining distance = \\(2.3 - 1 = 1.3\\) km = 1300 m. Every 400 m or part thereof is $0.25, and 1300 m needs 4 blocks (400 + 400 + 400 + 100): \\(4 \\times \\$0.25 = \\$1.00\\). Total fare = \\(\\$4.10 + \\$1.00 = \\$5.10\\). Answer: $5.10.",
      "hints": ["First 1 km is $4.10; the remaining distance is 1.3 km = 1300 m.", "1300 m = 4 blocks of 400 m (or part), each $0.25 = $1.00; add to $4.10."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Section B Q10(a) [2m]. Money answer -> FIB. Answer key working: 2.3-1=1.3 km, 0.25x4=1.00, 4.10+1.00=$5.10."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "The taxi charges are $4.10 for the first 1 km and $0.25 for every additional 400 m or part thereof. Joshua paid $7.35 for his taxi fare. What was the greatest possible distance of his taxi ride?<br>Ans: [?] km",
      "answer0": "6.2",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 175,
      "difficulty_id": 3,
      "explanation": "Cost after the first km = \\(7.35 - 4.10 = \\$3.25\\). Number of $0.25 blocks = \\(3.25 \\div 0.25 = 13\\) blocks. The greatest distance uses full blocks: \\(13 \\times 400 = 5200\\) m. Add the first 1000 m: \\(5200 + 1000 = 6200\\) m = 6.2 km. Answer: 6.2 km.",
      "hints": ["Subtract the first km's $4.10, then divide the rest by $0.25 to find the number of 400 m blocks.", "Greatest distance = 13 full blocks of 400 m plus the first 1000 m."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Section B Q10(b) [2m]. Decimal answer (km) -> FIB. Answer key working: 7.35-4.10=3.25, 3.25/0.25=13, 13x400=5200, 5200+1000=6200 m = 6.2 km."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "At a bakery, big donuts are sold at 3 for $7 and mini donuts at 4 for $5. Wanda bought 12 big donuts and 12 mini donuts. How much more money did she spend on the big donuts than on the mini donuts?<br>Ans: $[?]",
      "answer0": "13",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "Big donuts: \\(12 \\div 3 = 4\\) sets, costing \\(4 \\times \\$7 = \\$28\\). Mini donuts: \\(12 \\div 4 = 3\\) sets, costing \\(3 \\times \\$5 = \\$15\\). Difference = \\(\\$28 - \\$15 = \\$13\\). Answer: $13.",
      "hints": ["Work out the cost of 12 big donuts (3 for $7) and 12 mini donuts (4 for $5) separately.", "Subtract the smaller total from the larger."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q11",
      "image_needed": true,
      "image_options": false,
      "image_file": "q17.png",
      "image_page": 9,
      "image_bbox": [0.28, 0.09, 0.74, 0.32],
      "notes": "Section B Q11(a) [1m]. Money answer -> FIB. Promotion figure (big donuts 3 for $7, mini donuts 4 for $5). Answer key working: 12/3x7=28, 12/4x5=15, 28-15=$13."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "At a bakery, big donuts are sold at 3 for $7 and mini donuts at 4 for $5. Theo bought an equal number of big donuts and mini donuts. He spent $91 more on the big donuts than the mini donuts. How many donuts did he buy in all?<br>Ans: [?]",
      "answer0": "168",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Buying 12 big and 12 mini donuts (one group) gives a price difference of \\(\\$28 - \\$15 = \\$13\\). The number of such groups = \\(91 \\div 13 = 7\\). Each group has \\(12 + 12 = 24\\) donuts, so total = \\(7 \\times 24 = 168\\) donuts. Answer: 168.",
      "hints": ["One group of 12 big and 12 mini donuts has a price difference of $13.", "Number of groups = \\(91 \\div 13 = 7\\); each group has 24 donuts."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Section B Q11(b) [3m]. Integer answer -> FIB. Answer key working: 91/13=7 groups, 7x24=168 donuts."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "A path was completely covered with identical rectangular and square tiles, following the pattern shown. The path is 4.5 m wide and 42 m long. What is the length of each square tile?<br>Ans: [?] m",
      "answer0": "1.5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Across the 4.5 m width, the pattern is made up of 2 square-tile heights and 4 rectangular-tile widths arranged so that the width equals 6 equal units: \\(4.5 \\div 6 = 0.75\\) m per unit. A square tile is 2 units tall, so its length = \\(0.75 \\times 2 = 1.5\\) m. Answer: 1.5 m.",
      "hints": ["The 4.5 m width is split into equal small units by the tile pattern (\\(4.5 \\div 6 = 0.75\\) m).", "A square tile spans 2 of these units, so its side = \\(0.75 \\times 2\\)."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q19.png",
      "image_page": 10,
      "image_bbox": [0.22, 0.13, 0.84, 0.30],
      "notes": "Section B Q12(a) [2m]. Decimal answer (m) -> FIB. Path-tiling pattern figure (4.5 m wide, 42 m long). Answer key working: 2+4=6, 4.5/6=0.75, 0.75x2=1.5 m."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "A path 4.5 m wide and 42 m long was completely covered with identical rectangular and square tiles, following the pattern shown. The square tile has length 1.5 m. How many rectangular tiles were used to cover the entire path?<br>Ans: [?]",
      "answer0": "70",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "The repeating pattern is \\(1.5 \\times 2 = 3\\) m long, so the 42 m path has \\(42 \\div 3 = 14\\) repeats. Each repeat is 2 columns, giving \\(14 \\div 2 = 7\\) (per the key's method). With \\(6 + 4 = 10\\) rectangular tiles per group, the total = \\(10 \\times 7 = 70\\) rectangular tiles. Answer: 70.",
      "hints": ["Find the length of one repeat of the pattern and how many fit in 42 m.", "Count the rectangular tiles in one repeating group and multiply."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 3 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q20.png",
      "image_page": 10,
      "image_bbox": [0.22, 0.13, 0.84, 0.30],
      "notes": "Section B Q12(b) [3m]. Integer answer -> FIB. Same path-tiling figure as Q19 (Q12(a)). Answer key working: 1.5x2=3, 42/3=14, 14/2=7, (6+4)=10, 10x7=70 rectangular tiles."
    }
  ]
}
