{
  "paper": {
    "school": "Catholic High",
    "year": 2022,
    "level": "P5",
    "label": "Weighted Assessment 3",
    "source_prefix": "Catholic High 2022 P5 Weighted Assessment 3",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Find the value of \\(48 \\div 300\\).",
      "answer0": "0.16",
      "answer1": "1.44",
      "answer2": "1.6",
      "answer3": "14.4",
      "correct_answer": 0,
      "skill_id": 166,
      "difficulty_id": 1,
      "explanation": "Method: divide. 48 \\u00f7 300 = 0.16. Final answer: 0.16.",
      "hints": ["48 \\u00f7 300 is less than 1 since 48 is smaller than 300.", "48 \\u00f7 300 = 48 \\u00f7 300 = 0.16."],
      "source": "Catholic High 2022 P5 Weighted Assessment 3 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key: option (1) = 0.16. The printed '48 + 300' is an OCR artefact of '48 \\u00f7 300' (only \\u00f7 yields 0.16)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "There were 800 people at a musical. 63% of the people were children while the rest were adults. How many adults were at the musical?",
      "answer0": "296",
      "answer1": "376",
      "answer2": "504",
      "answer3": "737",
      "correct_answer": 0,
      "skill_id": 174,
      "difficulty_id": 2,
      "explanation": "Method: adults are the rest. Adults = 100% - 63% = 37%. 37% of 800 = 0.37 \\u00d7 800 = 296. Final answer: 296.",
      "hints": ["The percentage of adults is 100% - 63%.", "37% of 800 = 0.37 \\u00d7 800."],
      "source": "Catholic High 2022 P5 Weighted Assessment 3 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key: option (1) = 296."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "The average of seven numbers is 26. The first number is 14. Find the average of the other six numbers.",
      "answer0": "14",
      "answer1": "28",
      "answer2": "168",
      "answer3": "182",
      "correct_answer": 1,
      "skill_id": 205,
      "difficulty_id": 2,
      "explanation": "Method: total minus first, then average. Total of seven = 26 \\u00d7 7 = 182. Total of other six = 182 - 14 = 168. Average of six = 168 \\u00f7 6 = 28. Final answer: 28.",
      "hints": ["Total of all seven numbers = average \\u00d7 7.", "Subtract the first number, then divide the remaining total by 6."],
      "source": "Catholic High 2022 P5 Weighted Assessment 3 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key: option (2) = 28."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "The table shows the rental charges for a pair of roller skates.<br>First 2 hours: $16<br>After the second hour: $6 per \\(\\dfrac{1}{2}\\) hour or less<br>Max rented a pair of roller skates from 8.30 a.m. to 11.45 a.m. on the same day. How much did he pay?",
      "answer0": "$22",
      "answer1": "$28",
      "answer2": "$32",
      "answer3": "$34",
      "correct_answer": 3,
      "skill_id": 175,
      "difficulty_id": 3,
      "explanation": "Method: split the duration. Total time 8.30 a.m. to 11.45 a.m. = 3 h 15 min. First 2 h cost $16. Remaining 1 h 15 min after the 2nd hour is charged per half-hour or less: 1 h 15 min = three blocks (30 min + 30 min + 15 min) \\u00d7 $6 = $18. Total = $16 + $18 = $34. Final answer: $34.",
      "hints": ["Find the total duration first, then split it into the first 2 hours and the time after.", "After 2 hours, each 30-min block (or part of one) costs $6; round each part up to a full half-hour."],
      "source": "Catholic High 2022 P5 Weighted Assessment 3 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key: option (4) = $34. Charge table rendered inline; no figure needed."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "Jack's family consumed a total of 48.5 kg of rice in November and December. His family consumed 5.1 kg more rice in December than in November. How many kilograms of rice did Jack's family consume in December? [?]",
      "answer0": "26.8",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 2,
      "explanation": "Method: subtract the difference, halve, then add back. November + December = 48.5 kg. Remove the extra 5.1 kg: 48.5 - 5.1 = 43.4 kg (twice November). November = 43.4 \\u00f7 2 = 21.7 kg. December = 21.7 + 5.1 = 26.8 kg. Final answer: 26.8 kg.",
      "hints": ["Subtract the 5.1 kg difference from the total, then the rest splits equally between the two months.", "December = November + 5.1 kg."],
      "source": "Catholic High 2022 P5 Weighted Assessment 3 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key working: 48.5-5.1=43.4; 43.4\\u00f72=21.7; 21.7+5.1=26.8. Answer in kg."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "An airline company had 500 seats. 350 seats were occupied. What percentage of the seats were occupied? [?]",
      "answer0": "70",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 171,
      "difficulty_id": 1,
      "explanation": "Method: write the part as a percentage. Percentage occupied = \\(\\dfrac{350}{500}\\) \\u00d7 100% = 70%. Final answer: 70%.",
      "hints": ["Percentage = (occupied \\u00f7 total) \\u00d7 100%.", "350 \\u00f7 500 = 0.7, then \\u00d7 100%."],
      "source": "Catholic High 2022 P5 Weighted Assessment 3 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key working: 500\\u00f7100=5; 350\\u00f75=70. Answer is a percentage (70). Blank is the number; '%' unit shown in stem."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "The table shows the number of books read by four girls during the holidays.<br>Abigail: 8<br>Bernadette: 16<br>Caroline: 0<br>Denise: 24<br>What was the average number of books read by each girl? [?]",
      "answer0": "12",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 205,
      "difficulty_id": 1,
      "explanation": "Method: total \\u00f7 number of girls. Total books = 8 + 16 + 0 + 24 = 48. Average = 48 \\u00f7 4 = 12. Final answer: 12.",
      "hints": ["Add up all four amounts, including Caroline's 0.", "Average = total books \\u00f7 4 girls."],
      "source": "Catholic High 2022 P5 Weighted Assessment 3 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key working: 24+16+8+0=48; 48\\u00f74=12. Table rendered inline as text; no figure needed."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Peter can run 3 km in 20 minutes. At this rate, how many kilometres can he run in 120 minutes? [?]",
      "answer0": "18",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 1,
      "explanation": "Method: find how many 20-min intervals, then multiply. 120 \\u00f7 20 = 6 intervals. Distance = 3 \\u00d7 6 = 18 km. Final answer: 18 km.",
      "hints": ["How many 20-minute blocks are there in 120 minutes?", "Multiply the distance per block (3 km) by the number of blocks."],
      "source": "Catholic High 2022 P5 Weighted Assessment 3 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key working: 120\\u00f720=6; 3\\u00d76=18. Answer in km."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "The line graph shows the number of cups of bubble tea a machine sealed over ten minutes. How many cups does the machine seal per minute? [?]",
      "answer0": "25",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "Method: read the total from the graph, then divide by the time. The graph shows 250 cups sealed over 10 minutes. Rate = 250 \\u00f7 10 = 25 cups per minute. Final answer: 25.",
      "hints": ["Read the number of cups reached at 10 minutes from the line graph.", "Rate per minute = total cups \\u00f7 total minutes."],
      "source": "Catholic High 2022 P5 Weighted Assessment 3 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q9.png",
      "image_page": 5,
      "image_bbox": [0.20, 0.13, 0.80, 0.39],
      "image_loc": "line graph 'Number of Cups a Machine Seals' near the top of the page, below the question text",
      "notes": "Printed key working: 250\\u00f710=25. Graph reaches 250 cups at 10 min. Figure required to read the value."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "The price of a laptop before GST was $1200. What was the price of the laptop including 7% GST? [?]",
      "answer0": "1284",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 176,
      "difficulty_id": 2,
      "explanation": "Method: find the GST amount, then add it on. GST = 7% of $1200 = 0.07 \\u00d7 1200 = $84. Price including GST = 1200 + 84 = $1284. Final answer: $1284.",
      "hints": ["GST = 7% of $1200.", "Price including GST = original price + GST amount."],
      "source": "Catholic High 2022 P5 Weighted Assessment 3 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key working: 1200\\u00f7100=12; 12\\u00d77=84; 1200+84=1284. Answer in dollars (stem shows '$'). Blank is the number 1284."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Mr Fernandez bought some chickens from America, Canada and Brazil. 45% of the chickens were from America, 35% of the chickens were from Brazil and the rest were from Canada. There were 20 fewer chickens from Brazil than America.<br>(a) What percentage of the chickens were from Canada? [?]<br>(b) Find the total number of chickens from Canada and Brazil. [?]",
      "answer0": "20",
      "answer1": "110",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 175,
      "difficulty_id": 3,
      "explanation": "Method: (a) Canada % = 100% - 45% - 35% = 20%. (b) The 20-chicken difference equals America% - Brazil% = 45% - 35% = 10% of the total, so 10% = 20 chickens and the total = 200 chickens. Canada + Brazil = 100% - 45% = 55% of total = 0.55 \\u00d7 200 = 110 chickens. Final answers: (a) 20% (b) 110.",
      "hints": ["(a) The three percentages must add up to 100%.", "(b) The 20-chicken gap is the difference between America's and Brazil's percentages; use it to find 1% of the total."],
      "source": "Catholic High 2022 P5 Weighted Assessment 3 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key working: (a) 100-45-35=20; (b) 45-35=10; 20\\u00f710=2 (so 1%=2 chickens, total=200); 55\\u00d72=110. Two integer answers (20 and 110), so FIB with one blank per part. Part (a) is a percentage (the '%' is shown in the stem after the blank? it is given in answer line) so answer0 is the number 20."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Car A had 7800 ml of petrol. Car B had 10.3 l of petrol. When the same amount of petrol was used in each car, the amount of petrol left in Car B was six times of that left in Car A. How much petrol was used in each car? Leave your answer in litres. [?]",
      "answer0": "7.3",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 3,
      "explanation": "Method: convert to litres, use the 6-times relationship. Car A = 7800 ml = 7.8 l, Car B = 10.3 l. The difference in petrol stays the same as petrol used is equal: 10.3 - 7.8 = 2.5 l. After using petrol, B's amount is 6 times A's, so the 2.5 l difference equals 6 - 1 = 5 equal parts; 1 part (petrol left in A) = 2.5 \\u00f7 5 = 0.5 l. Petrol used = 7.8 - 0.5 = 7.3 l. Final answer: 7.3 l.",
      "hints": ["Convert 7800 ml to litres first (7.8 l).", "The difference between the two amounts (2.5 l) does not change; if B's remainder is 6 times A's, that difference is 5 equal parts."],
      "source": "Catholic High 2022 P5 Weighted Assessment 3 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key working: 10.3-7.8=2.5; 2.5\\u00f75=0.5; 7.8-0.5=7.3. Answer 7.3 L (litres). Decimal answer, FIB valid."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "The total cost of a big sticker and a small sticker is $1.20. John paid $10.40 for 9 big stickers and 8 small stickers. Luke bought 9 small stickers. How much did Luke pay for 9 small stickers? [?]",
      "answer0": "3.60",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 3,
      "explanation": "Method: compare John's purchase with 9 sticker-pairs. 9 big + 9 small = 9 \\u00d7 $1.20 = $10.80. John bought 9 big + 8 small for $10.40, which is one small sticker fewer. So 1 small sticker = 10.80 - 10.40 = $0.40. 9 small stickers = 0.40 \\u00d7 9 = $3.60. Final answer: $3.60.",
      "hints": ["9 big + 9 small stickers cost 9 \\u00d7 $1.20.", "John's $10.40 is for one fewer small sticker than that, so the gap is the price of one small sticker."],
      "source": "Catholic High 2022 P5 Weighted Assessment 3 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key working: 1.20\\u00d79=10.80; 10.80-10.40=0.40; 0.40\\u00d79=3.60. Answer $3.60 (dollars). Decimal/money, FIB valid."
    }
  ]
}