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CAEC overview

CAEC: Math Part I: computation without a calculator

Fractions and mixed numbers, decimals, percentages, integers, one-step and two-step linear equations and the order of operations, all worked by hand as on Part I.

  • 21 questions
  • Topic drill
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Math Part I: computation without a calculator · Question 1Score 0/0

Find the value of x that makes x + 2.5 − 6 = −2 true.

Study reference: CAEC Test Outcomes and Evaluation Plan by Subject (Alberta.ca, 2024), Ch. 4 Mathematics — Part I: No calculator, outcomes 1.1–1.4 (p. 4)

All 21 questions in this test

Every question and its answer choices. The correct answers and explanations appear when you take the test above.

  1. Find the value of x that makes x + 2.5 − 6 = −2 true.

    1. x = −5.5
    2. x = 1.5
    3. x = −1.5
    4. x = 5.5

  2. Work out the quotient 7.2 ÷ 0.04 by moving decimal points.

    1. 18
    2. 180
    3. 1.8
    4. 0.288

  3. Subtract the mixed numbers by hand: 3 1/2 − 1 1/4.

    1. 2 1/4
    2. 2 3/4
    3. 2 1/2
    4. 1 1/4

  4. Square a negative number, then add: 10 + (−2)².

    1. 6
    2. 8
    3. 16
    4. 14

  5. Divide 5/6 by 1/3. Which mixed number is the quotient?

    1. 3 1/3
    2. 1 1/2
    3. 5/18
    4. 2 1/2

  6. Convert the fraction three-eighths (3/8) to a decimal.

    1. 0.83
    2. 0.375
    3. 0.38
    4. 3.8

  7. Simplify the expression with a power: 2 × 3².

    1. 36
    2. 12
    3. 18
    4. 11

  8. Calculate 15 percent of eighty.

    1. 15
    2. 8
    3. 1.2
    4. 12

  9. Apply the order of operations to fractions: 1/2 + 1/3 × 3/4.

    1. 5/8
    2. 1/4
    3. 5/6
    4. 3/4

  10. Evaluate the integer expression −8 + 5 − (−3).

    1. 0
    2. 6
    3. −16
    4. −6

  11. Find the product of the decimals 6.4 × 0.5.

    1. 3.2
    2. 32
    3. 12.8
    4. 0.32

  12. A negative integer is divided by a positive one: −45 ÷ 9. What is the quotient?

    1. −36
    2. −54
    3. −5
    4. 5

  13. Subtract 35% from 100% and write the result as a decimal.

    1. 0.35
    2. 65.0
    3. 0.65
    4. 6.5

  14. Two negative integers are multiplied: (−6) × (−4). What is the result?

    1. 10
    2. −24
    3. 24
    4. −10

  15. Simplify the expression with brackets: (12 − 4) ÷ 2 + 6.

    1. 1
    2. 7
    3. 10
    4. 4

  16. Using the order of operations, simplify 3 + 4 × 5.

    1. 35
    2. 23
    3. 27
    4. 60

  17. Without a calculator, what is 2/3 + 1/4?

    1. 3/7
    2. 3/12
    3. 11/12
    4. 8/12

  18. A recipe needs 2 1/4 cups of flour. How much flour is needed for 4 batches?

    1. 6 1/4 cups
    2. 8 cups
    3. 8 1/4 cups
    4. 9 cups

  19. Add these decimals without a calculator: 4.75 + 12.6 + 0.08.

    1. 5.69
    2. 16.43
    3. 17.51
    4. 17.43

  20. Solve the equation x + 4 + 3 = 10 for x.

    1. x = 3
    2. x = 7
    3. x = 17
    4. x = 6

  21. Multiply the fractions 3/4 × 2/5 and give the answer in lowest terms.

    1. 5/9
    2. 15/8
    3. 3/10
    4. 6/9

Math Part I: computation without a calculator: key rules to remember

Our summary of what the official handbook says on this topic, in our own words. Read it before or after the practice questions above, then check the original chapter. Read the official chapter ↗

Math Part I: No calculator (25 %, 12 questions, 30 minutes)

  • 1.1 add, subtract, multiply, divide fractions and mixed numbers.
  • 1.2 add, subtract, multiply, divide decimals, percentages and integers.
  • 1.3 solve linear equations of the form x + a + b = c (decimals or integers).
  • 1.4 order of operations with whole numbers, integers, decimals, fractions and powers.

Our method notes

  • Fractions: common denominator to add/subtract; multiply straight across; divide by multiplying by the reciprocal; simplify.
  • Decimals: line up decimal points to add; count decimal places to multiply; move the point in both numbers to divide.
  • Percent: 10 % = move the point one place; build other percents from 10 % and 5 %.
  • Integers: subtracting a negative = adding; same signs multiply/divide to positive, different signs to negative.
  • Order of operations: brackets, exponents, multiplication/division left to right, addition/subtraction left to right; (−2)² = 4.

Study the Math Part I: computation without a calculator rules as flashcards →

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