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CAEC Mathematics Preparation Course：Part I: computing without a calculator

不限时专题测验：关于Part I: computing without a calculator的16道题，每道题作答后都有解释。每次题目和选项都会重新打乱。

  • 课程
  • 加拿大
  • 100道题
  • 核对于2026年10月13日
  • 事实核查：2026年10月13日
从课文开始CAEC Mathematics Preparation: Lessons：阅读时间约360分钟。测试中的每道题在课文中都有讲解。

专题测验2：Part I: computing without a calculator

  1. 第1题，共16题

    Without a calculator: 3/4 + 1/8 = ?
    显示答案

    答案: B. 7/8

    Use a common denominator: 3/4 = 6/8, and 6/8 + 1/8 = 7/8. Never add the denominators.

  2. 第2题，共16题

    Write 2/5 as a percentage.
    显示答案

    答案: C. 40%

    2/5 = 2 ÷ 5 = 0.4, and 0.4 × 100 = 40%.

  3. 第3题，共16题

    Without a calculator: 4 ÷ 2/3 = ?
    显示答案

    答案: A. 6

    To divide by a fraction, multiply by its reciprocal: 4 × 3/2 = 12/2 = 6.

  4. 第4题，共16题

    Without a calculator: 2 1/2 × 1 1/3 = ?
    显示答案

    答案: A. 3 1/3

    Change to improper fractions: 5/2 × 4/3 = 20/6 = 10/3 = 3 1/3. Do not multiply the whole numbers and fractions separately.

  5. 第5题，共16题

    Without a calculator: 5 3/4 − 2 7/8 = ?
    显示答案

    答案: B. 2 7/8

    5 3/4 = 46/8 and 2 7/8 = 23/8. 46/8 − 23/8 = 23/8 = 2 7/8.

  6. 第6题，共16题

    Without a calculator: 12.4 − 3.75 = ?
    显示答案

    答案: B. 8.65

    Line up the decimal points: 12.40 − 3.75 = 8.65. Write 12.4 as 12.40 so both numbers have two decimal places.

  7. 第7题，共16题

    Without a calculator: 0.6 × 0.4 = ?
    显示答案

    答案: D. 0.24

    6 × 4 = 24. There are two decimal places in total (0.6 and 0.4), so the answer is 0.24.

  8. 第8题，共16题

    Without a calculator: what is 15% of 80?
    显示答案

    答案: A. 12

    10% of 80 is 8 and 5% is 4, so 15% is 8 + 4 = 12.

  9. 第9题，共16题

    Without a calculator: −7 + 12 − (−3) = ?
    显示答案

    答案: D. 8

    Subtracting a negative is the same as adding: −7 + 12 + 3 = 8.

  10. 第10题，共16题

    Without a calculator: (−4) × (−6) ÷ 3 = ?
    显示答案

    答案: D. 8

    A negative times a negative is positive: (−4) × (−6) = 24, and 24 ÷ 3 = 8.

  11. 第11题，共16题

    Use the order of operations: 3 + 4 × 2² = ?
    显示答案

    答案: B. 19

    BEDMAS: exponents first (2² = 4), then multiply (4 × 4 = 16), then add (3 + 16 = 19).

  12. 第12题，共16题

    Use the order of operations: 18 − 6 ÷ 3 + 2 = ?
    显示答案

    答案: C. 18

    Divide first: 6 ÷ 3 = 2. Then work left to right: 18 − 2 + 2 = 18.

  13. 第13题，共16题

    Solve for x: x + 3.5 + 1.5 = 12
    显示答案

    答案: A. x = 7

    Combine the numbers: 3.5 + 1.5 = 5. Then x + 5 = 12, so x = 12 − 5 = 7.

  14. 第14题，共16题

    Solve for x: x + (−4) + 9 = 2
    显示答案

    答案: A. x = −3

    −4 + 9 = 5, so x + 5 = 2. Subtract 5 from both sides: x = 2 − 5 = −3.

  15. 第15题，共16题

    Use the order of operations: 1/2 + 3/4 × 2 = ?
    显示答案

    答案: C. 2

    Multiply first: 3/4 × 2 = 6/4 = 1 1/2. Then add: 1/2 + 1 1/2 = 2.

  16. 第16题，共16题

    A recipe needs 3/4 kg of flour. You make half the recipe. How much flour do you need?
    显示答案

    答案: A. 3/8 kg

    Half of 3/4 means 3/4 × 1/2 = 3/8 kg.

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