CAEC Math Practice Test

All 42 questions in this test

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

1. 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

2. Phone plan A costs $30 plus $5 per GB. Plan B costs $50 plus $1 per GB. At how many GB do they cost the same?

   1. 10 GB
   2. 20 GB
   3. 5 GB
   4. 4 GB

3. A budget circle graph shows rent as 35% of a $3,200 monthly income. How much is rent?

   1. $1,035
   2. $914
   3. $2,080
   4. $1,120

4. How many 300 g servings are in a 2.4 kg bag of oats?

   1. 0.8
   2. 12
   3. 8
   4. 80

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

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

6. 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

7. Evaluate 4a − 2b when a = 3 and b = −5.

   1. -22
   2. 2
   3. 1
   4. 22

8. For the daily sales data 12, 15, 9, 15, 14, what is the median?

   1. 14
   2. 15
   3. 13
   4. 9

9. One inch is 2.54 cm. How many centimetres long is a 12-inch ruler?

   1. 14.54 cm
   2. 30.48 cm
   3. 304.8 cm
   4. 4.72 cm

10. 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

11. 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

12. Find the missing term in the doubling pattern 3, 6, 12, 24, ___.

    1. 27
    2. 36
    3. 30
    4. 48

13. A spinner has 8 equal sections numbered 1 to 8. What is the probability of spinning a number greater than 5?

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

14. A photo 4.5 cm wide is enlarged by a scale factor of 3. How wide is the enlargement?

    1. 7.5 cm
    2. 1.5 cm
    3. 13.5 cm
    4. 12 cm

15. 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

16. 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

17. A table shows x = 1, 2, 3 and y = 7, 9, 11. Which rule fits?

    1. y = 7x
    2. y = x + 6
    3. y = 2x + 5
    4. y = 3x + 4

18. Monthly bus riders (thousands): Jan 42, Feb 40, Mar 46, Apr 51, May 55. Between which two months did ridership rise the most?

    1. April to May
    2. February to March
    3. January to February
    4. March to April

19. An L-shaped room is a 10 m × 6 m rectangle with a 4 m × 3 m corner cut out. What is its area?

    1. 60 m²
    2. 72 m²
    3. 39 m²
    4. 48 m²

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

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

21. 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

22. Rearrange the formula d = st to make t the subject.

    1. t = d − s
    2. t = d ÷ s
    3. t = s ÷ d
    4. t = d × s

23. Daily sales were 12, 15, 9, 15 and 14 items. What is the mean?

    1. 13
    2. 12
    3. 14
    4. 15

24. A bottle holds 750 mL. How many litres is that?

    1. 0.075 L
    2. 0.75 L
    3. 7.5 L
    4. 75 L

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

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

26. A team won 3 of its 12 games. What percent of its games did it win?

    1. 3%
    2. 25%
    3. 4%
    4. 36%

27. Use F = 9/5 C + 32 to convert 25 °C to degrees Fahrenheit.

    1. 59 °F
    2. 45 °F
    3. -3.9 °F
    4. 77 °F

28. A scatterplot shows that as outdoor temperature rises, ice cream sales rise. How is this relationship described?

    1. A positive correlation
    2. A perfect circle
    3. A negative correlation
    4. No correlation

29. Baseboard is needed around a 5 m by 4 m room, except for a 1 m doorway. How many metres are needed?

    1. 20 m
    2. 19 m
    3. 18 m
    4. 17 m

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

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

31. 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

32. Two numbers add to 48. One is 6 more than the other. What is the smaller number?

    1. 42
    2. 21
    3. 27
    4. 24

33. The chance of rain is 30% on Saturday and 30% on Sunday, independently. What is the chance it rains on both days?

    1. 15%
    2. 60%
    3. 30%
    4. 9%

34. What is the surface area of a cube with edges of 4 cm?

    1. 64 cm²
    2. 96 cm²
    3. 48 cm²
    4. 16 cm²

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

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

36. 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

37. Solve the linear equation 3x + 25 = 85.

    1. x = 36.7
    2. x = 30
    3. x = 60
    4. x = 20

38. Five houses on a street sold for 32, 35, 30, 34 and 99 (in $10,000s). Which measure best describes a typical price?

    1. The mean, 46
    2. The mode, none
    3. The median, 34
    4. The range, 69

39. Using π ≈ 3.14, what is the volume of a cylinder with radius 3 cm and height 10 cm?

    1. 188.4 cm³
    2. 282.6 cm³
    3. 94.2 cm³
    4. 904.3 cm³

40. 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

41. 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

42. What is the next number in the pattern 7, 11, 15, 19, …?

    1. 23
    2. 27
    3. 24
    4. 21