CAEC overview

CAEC: Math: number sense and money

Percent problems with tips, discounts, commission, sales tax, simple interest and pay, plus rates, unit prices, ratios, proportions, speed and scale.

  • 20 questions
  • Topic drill
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Math: number sense and money · Question 1Score 0/0

An annual salary of $52,000 is paid every two weeks (26 pays a year). What is each gross pay?

Study reference: CAEC Test Outcomes and Evaluation Plan by Subject (Alberta.ca, 2024), Ch. 4 Mathematics — Part II: Number sense, outcomes 1.1–1.2 (p. 4)

All 20 questions in this test

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

  1. An annual salary of $52,000 is paid every two weeks (26 pays a year). What is each gross pay?

    1. $2,000
    2. $2,600
    3. $1,000
    4. $4,333.33
  2. Sam earns $21.40 an hour, with time-and-a-half for hours over 40. What is his gross pay for a 45-hour week?

    1. $1,016.50
    2. $1,123.50
    3. $1,444.50
    4. $963.00
  3. Driving at 90 km/h, how far will you travel in 2 hours 30 minutes?

    1. 270 km
    2. 180 km
    3. 225 km
    4. 207 km
  4. In Ontario, HST is 13%. What is the total cost of a $240.00 chair including HST?

    1. $243.12
    2. $271.20
    3. $31.20
    4. $253.00
  5. 28 students is 35% of a class list. How many students are on the list?

    1. 98
    2. 80
    3. 10
    4. 63
  6. A salesperson earns 4% commission on sales. Last month she sold $18,500 of furniture. What was her commission?

    1. $4,625
    2. $7,400
    3. $462.50
    4. $740
  7. A paint mix uses 3 parts blue to 4 parts white. How many litres of blue are needed with 20 L of white?

    1. 12 L
    2. 80 L
    3. 15 L
    4. 26.7 L
  8. A restaurant bill is $64.00. You leave a 15% tip. How much is the tip?

    1. $6.40
    2. $73.60
    3. $15.00
    4. $9.60
  9. If 1 US dollar is worth 1.36 Canadian dollars, how many Canadian dollars do you need to buy 150 US dollars?

    1. $110.29
    2. $136.00
    3. $186.00
    4. $204.00
  10. A driver travels 336 km in 4.2 hours. What is the average speed?

    1. 80 km/h
    2. 1 411 km/h
    3. 70 km/h
    4. 84 km/h
  11. If 2 L of milk costs $4.48, what do 5 L cost at the same rate?

    1. $6.48
    2. $8.96
    3. $22.40
    4. $11.20
  12. A team won 3 of its 12 games. What percent of its games did it win?

    1. 3%
    2. 25%
    3. 4%
    4. 36%
  13. Using simple interest I = Prt, how much interest does $2,000 earn at 3.5% per year for 3 years?

    1. $21
    2. $2,210
    3. $70
    4. $210
  14. A monthly phone plan rises from $45 to $54. What is the percent increase?

    1. 9%
    2. 20%
    3. 17%
    4. 83%
  15. A jacket priced at $85.00 is on sale for 30% off. What is the sale price before tax?

    1. $25.50
    2. $110.50
    3. $59.50
    4. $55.00
  16. A printer prints 450 pages in 1.5 minutes. How many pages does it print per minute?

    1. 300
    2. 675
    3. 225
    4. 150
  17. Lena's salary is $52,000 a year. About 22% goes to deductions. What is her take-home pay for the year?

    1. $50,856
    2. $40,560
    3. $63,440
    4. $11,440
  18. A 1.2 kg bag of rice costs $5.49 and a 750 g bag costs $3.99. Which is the better buy per kilogram?

    1. The 750 g bag, about $5.32/kg
    2. The 750 g bag, about $3.99/kg
    3. The 1.2 kg bag, about $4.58/kg
    4. Both cost the same per kilogram
  19. A $50 item is 20% off, then 13% HST is added to the sale price. What is the final cost?

    1. $43.00
    2. $45.20
    3. $40.00
    4. $46.50
  20. On a map with a scale of 1:50 000, two towns are 6.5 cm apart. What is the real distance in kilometres?

    1. 32.5 km
    2. 325 km
    3. 0.325 km
    4. 3.25 km

Math: number sense and money: 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 ↗

Part II Number sense (25–30 %)

  • 1.1 problems with fractions, decimals and percents: gratuity, discounts, commission, taxes, interest, salary.
  • 1.2 rates, ratios and proportions: speed, scale.

Formulas and facts used

  • Percent of a number = rate × amount; percent change = change ÷ original × 100.
  • Ontario HST 13 % (used in questions; other provinces differ).
  • Simple interest I = Prt (r as a decimal, t in years).
  • Overtime at time-and-a-half = 1.5 × regular rate.
  • Unit price = cost ÷ quantity; speed = distance ÷ time.
  • Map scale 1 : n → real = map × n; 100 000 cm = 1 km.
  • Exchange: multiply by the rate given in the question.

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