{
  "paper": {
    "school": "ACS Primary",
    "year": 2024,
    "level": "P4",
    "label": "Quiz 1",
    "source_prefix": "ACS 2024 P4 Quiz 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "What is fifty-three thousand, four hundred and eight in numbers?",
      "answer0": "53 048",
      "answer1": "53 408",
      "answer2": "53 480",
      "answer3": "53 804",
      "correct_answer": 1,
      "skill_id": 106,
      "difficulty_id": 1,
      "explanation": "Fifty-three thousand = 53 000. Four hundred = 400. Eight = 8. Combine: $$53\\,000 + 400 + 8 = 53\\,408$$. Answer: 53 408.",
      "hints": ["Break the words into thousands, hundreds, tens and ones.", "Fifty-three thousand is 53 000; four hundred and eight is 408."],
      "source": "ACS 2024 P4 Quiz 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: (2) = 53 408."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "What is 28 349 when rounded to the nearest hundred?",
      "answer0": "28 000",
      "answer1": "28 300",
      "answer2": "28 350",
      "answer3": "28 400",
      "correct_answer": 1,
      "skill_id": 109,
      "difficulty_id": 1,
      "explanation": "Look at the tens digit (4). Since $$4 < 5$$, round down. 28 349 to the nearest hundred is 28 300.",
      "hints": ["Find the hundreds place, then look at the digit to its right (the tens).", "Tens digit is 4, so round down."],
      "source": "ACS 2024 P4 Quiz 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: (2) = 28 300."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "A 2-digit number is a factor of 56 and a multiple of 4. It is more than 10 but less than 40. What is the number?",
      "answer0": "12",
      "answer1": "14",
      "answer2": "28",
      "answer3": "32",
      "correct_answer": 2,
      "skill_id": 113,
      "difficulty_id": 2,
      "explanation": "Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56. The 2-digit factors are 14, 28, 56. Of these, a multiple of 4 is 28 ($$4 \\times 7 = 28$$). It is between 10 and 40. Answer: 28.",
      "hints": ["List the factors of 56 first.", "Pick the factor that is also a multiple of 4 and between 10 and 40."],
      "source": "ACS 2024 P4 Quiz 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: (3) = 28. (14 is a factor of 56 but not a multiple of 4.)"
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Arrange the following numbers from the greatest to the smallest.<br>62 354 , 62 435 , 62 345",
      "answer0": "62 345, 62 354, 62 435",
      "answer1": "62 354, 62 345, 62 435",
      "answer2": "62 435, 62 354, 62 345",
      "answer3": "62 435, 62 345, 62 354",
      "correct_answer": 2,
      "skill_id": 107,
      "difficulty_id": 1,
      "explanation": "All share 62 _ _ _. Compare hundreds: 62 435 has 4, while 62 354 and 62 345 have 3. So 62 435 is greatest. Then compare 62 354 and 62 345 by tens: 5 > 4, so 62 354 > 62 345. Greatest to smallest: 62 435, 62 354, 62 345.",
      "hints": ["Compare the digits from the left, place by place.", "The hundreds digit decides which is greatest."],
      "source": "ACS 2024 P4 Quiz 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: (3) = 62 435, 62 354, 62 345."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "What is the remainder when 7013 is divided by 5?",
      "answer0": "3",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 117,
      "difficulty_id": 2,
      "explanation": "$$7013 \\div 5 = 1402$$ remainder $$3$$ (since $$1402 \\times 5 = 7010$$ and $$7013 - 7010 = 3$$). The remainder is 3.",
      "hints": ["Divide 7013 by 5 and find what is left over.", "$$1402 \\times 5 = 7010$$, so the remainder is $$7013 - 7010$$."],
      "source": "ACS 2024 P4 Quiz 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 7013 ÷ 5 = 1402 R3, ANS: 3."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "I am a multiple of 6 and 9. I am between 20 and 40. What number am I?",
      "answer0": "36",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 115,
      "difficulty_id": 2,
      "explanation": "Common multiples of 6 and 9 are multiples of 18: 18, 36, 54, ... The one between 20 and 40 is 36. Answer: 36.",
      "hints": ["A number that is a multiple of both 6 and 9 is a multiple of 18.", "Which multiple of 18 lies between 20 and 40?"],
      "source": "ACS 2024 P4 Quiz 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 36."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "What is the sum of the common factors of 36 and 81?",
      "answer0": "13",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 113,
      "difficulty_id": 2,
      "explanation": "Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. Factors of 81: 1, 3, 9, 27, 81. Common factors: 1, 3, 9. Sum: $$1 + 3 + 9 = 13$$.",
      "hints": ["List the factors of each number, then find the ones they share.", "Common factors are 1, 3 and 9."],
      "source": "ACS 2024 P4 Quiz 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 1 + 9 + 3 = 13."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "A tailor sews 16 buttons on a shirt. How many buttons are needed to sew 589 shirts?",
      "answer0": "9424",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 116,
      "difficulty_id": 2,
      "explanation": "Multiply the buttons per shirt by the number of shirts: $$589 \\times 16 = 9424$$. The tailor needs 9424 buttons.",
      "hints": ["This is a multiplication: buttons per shirt × number of shirts.", "$$589 \\times 16 = 589 \\times 10 + 589 \\times 6$$."],
      "source": "ACS 2024 P4 Quiz 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 589 × 16 = 9424."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "A number is 5090 when rounded to the nearest 10.<br>(a) The smallest possible number is [?]<br>(b) The greatest possible number is [?]",
      "answer0": "5085",
      "answer1": "5094",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 109,
      "difficulty_id": 2,
      "explanation": "To round to 5090 to the nearest 10, the number must be at least 5085 (rounds up) and at most 5094 (rounds down). (a) smallest = 5085. (b) greatest = 5094.",
      "hints": ["Numbers from 5085 up to 5094 all round to 5090.", "5085 rounds up to 5090; 5095 would round to 5100, so the greatest is 5094."],
      "source": "ACS 2024 P4 Quiz 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: a) 5085, b) 5094. Two answer blanks (a) and (b)."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Adam bought 28 boxes of balloons from a party store. Each box contained 36 balloons and costs $18. He paid the cashier some money and received $46 change.<br>(a) How many balloons did he buy?<br>(b) How much money did he give to the cashier?",
      "answer0": "1008",
      "answer1": "550",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "(a) Balloons: $$28 \\times 36 = 1008$$. (b) Cost of boxes: $$28 \\times 18 = 504$$. He received $46 change, so the money given = $$504 + 46 = \\$550$$.",
      "hints": ["For (a) multiply boxes by balloons per box.", "For (b) find the total cost first, then add the change he got back."],
      "source": "ACS 2024 P4 Quiz 1 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: a) 36 x 28 = 1008; b) 28 x 18 = 504, 504 + 46 = $550. Answer (b) is in dollars (550)."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Andrea and Ben had 3678 strawberries altogether. After Andrea gave 34 strawberries to Ben, she had 5 times as many strawberries as Ben. How many more strawberries did Andrea have than Ben at first?",
      "answer0": "2520",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "The total stays 3678. After giving, Andrea : Ben = 5 : 1, which is 6 equal units. $$3678 \\div 6 = 613$$ per unit. After: Ben = 613, Andrea = $$5 \\times 613 = 3065$$. At first: Andrea = $$3065 + 34 = 3099$$, Ben = $$613 - 34 = 579$$. Difference = $$3099 - 579 = 2520$$.",
      "hints": ["The total of 3678 does not change when strawberries are passed between them.", "After giving, the parts are 5 units and 1 unit (6 units = 3678); then add/subtract 34 to find the first amounts."],
      "source": "ACS 2024 P4 Quiz 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key shows 2452 + 34 = 2486, 2486 + 34 = 2520. Final answer 2520 confirmed by units method."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Rosie bought a table and 5 similar chairs at $2885. The table cost $245 more than a chair. How much did the table cost?",
      "answer0": "685",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Replace the table with (chair + $245). Then 6 chairs + $245 = $2885, so 6 chairs = $$2885 - 245 = 2640$$. One chair = $$2640 \\div 6 = 440$$. Table = $$440 + 245 = \\$685$$.",
      "hints": ["The table equals a chair plus $245, so think of it as 6 chairs plus $245.", "Subtract 245 from 2885, divide by 6 to get one chair, then add 245 for the table."],
      "source": "ACS 2024 P4 Quiz 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 2885 - 245 = 2640; 2640 ÷ 6 = 440; 440 + 245 = $685. Answer in dollars (685)."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "There were 830 blue and 124 red buttons in a box. After an equal amount of buttons were added for both colours, the number of blue buttons was three times the number of red buttons. How many blue buttons were added?",
      "answer0": "229",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Let the amount added to each colour be the same. The difference between blue and red stays $$830 - 124 = 706$$. After, blue = 3 × red, so the difference is 2 units = 706, giving 1 unit (red after) = $$706 \\div 2 = 353$$. Added = $$353 - 124 = 229$$.",
      "hints": ["Adding the same amount to both keeps the difference (830 - 124) the same.", "After, blue is 3 times red, so the difference equals 2 'red' units; find red after, then subtract the original 124."],
      "source": "ACS 2024 P4 Quiz 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 706 ÷ 2 = 353; 353 - 124 = 229."
    }
  ]
}