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

Untimed topic quiz: 16 questions on Part I: computing without a calculator, with an explanation after each answer. Questions and answers are shuffled every time.

  • Course
  • Canada
  • 100 questions
  • Checked October 13, 2026
  • Fact-checked October 13, 2026
Start with the lessonsCAEC Mathematics Preparation: Lessons: about 360 minutes of reading. Every test question is covered in the lessons.

Topic quiz 2: Part I: computing without a calculator

  1. Question 1 of 16

    Without a calculator: 3/4 + 1/8 = ?
    Show answer

    Answer: B. 7/8

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

  2. Question 2 of 16

    Write 2/5 as a percentage.
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    Answer: C. 40%

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

  3. Question 3 of 16

    Without a calculator: 4 ÷ 2/3 = ?
    Show answer

    Answer: A. 6

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

  4. Question 4 of 16

    Without a calculator: 2 1/2 × 1 1/3 = ?
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    Answer: 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. Question 5 of 16

    Without a calculator: 5 3/4 − 2 7/8 = ?
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    Answer: 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. Question 6 of 16

    Without a calculator: 12.4 − 3.75 = ?
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    Answer: 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. Question 7 of 16

    Without a calculator: 0.6 × 0.4 = ?
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    Answer: 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. Question 8 of 16

    Without a calculator: what is 15% of 80?
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    Answer: A. 12

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

  9. Question 9 of 16

    Without a calculator: −7 + 12 − (−3) = ?
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    Answer: D. 8

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

  10. Question 10 of 16

    Without a calculator: (−4) × (−6) ÷ 3 = ?
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    Answer: D. 8

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

  11. Question 11 of 16

    Use the order of operations: 3 + 4 × 2² = ?
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    Answer: B. 19

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

  12. Question 12 of 16

    Use the order of operations: 18 − 6 ÷ 3 + 2 = ?
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    Answer: C. 18

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

  13. Question 13 of 16

    Solve for x: x + 3.5 + 1.5 = 12
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    Answer: A. x = 7

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

  14. Question 14 of 16

    Solve for x: x + (−4) + 9 = 2
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    Answer: A. x = −3

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

  15. Question 15 of 16

    Use the order of operations: 1/2 + 3/4 × 2 = ?
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    Answer: C. 2

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

  16. Question 16 of 16

    A recipe needs 3/4 kg of flour. You make half the recipe. How much flour do you need?
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    Answer: A. 3/8 kg

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

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