Pre-Algebra Practice Test

Name: ______________________   Date: __________   Score: ____ / 40

40 questions. No calculator. Show your working. steplyclass.com/foundations/practice-test/

1. 1

   Calculate 5 + (−8)

   Answer: ____________________

2. 2

   A submarine is at −40 m. It sinks 25 m. Where is it now?

   Answer: ____________________

3. 3

   Calculate −6.3 ÷ 0.9

   Answer: ____________________

4. 4

   Calculate 7 × 2 − 5

   Answer: ____________________

5. 5

   Write 12 + 18 as a product

   Answer: ____________________

6. 6

   Calculate gcf(18, 24)

   Answer: ____________________

7. 7

   Is 1,460 divisible by 10

   Answer: ____________________

8. 8

   Ξ = {1, 2, ..., 15}, A = {3, 6, 9, 12, 15}, B = {5, 10, 15}, find n(A ∪ B)

   Answer: ____________________

9. 9

   n(ξ) = 30, n(A) = 16, n(B) = 12, n(A ∩ B) = 5, find n((A ∪ B)′)

   Answer: ____________________

10. 10

    A = {2, 3, 5}, B = {1, 4}, find n(A × B)

    Answer: ____________________

11. 11

    Calculate 13 − 56

    Answer: ____________________

12. 12

    Round 0.4567 to the nearest hundredth

    Answer: ____________________

13. 13

    Write 0.7 as a fraction

    Answer: ____________________

14. 14

    Write 0.363636... as a fraction

    Answer: ____________________

15. 15

    Estimate 41.3 × 9.79 ÷ 0.765

    Answer: ____________________

16. 16

    X = 7 and y = 4, both to the nearest whole number. Find the upper bound of x + y

    Answer: ____________________

17. 17

    What percent of 80 is 28

    Answer: ____________________

18. 18

    Write 150% as a decimal

    Answer: ____________________

19. 19

    50% of what number is 14
    1. A) 28
    2. B) 2800
    3. C) 50
    4. D) 7

20. 20

    Write 712 as a percent

    Answer: ____________________

21. 21

    A jacket costs $80. It is 25% off, then 8% sales tax is added. What is the final price?

    Answer: ____________________

22. 22

    Estimate 90, actual 100, percent error
    1. A) 0.1%
    2. B) 11110%
    3. C) 10%
    4. D) 100%

23. 23

    A $250 bike goes up 20%, then down 10%. What is the new price?

    Answer: ____________________

24. 24

    Calculate 150 km in 4 hours

    Answer: ____________________

25. 25

    Share 30 in the ratio 1 : 4
    1. A) 6 and 24
    2. B) 6
    3. C) 24

26. 26

    Convert 66 inches to feet

    Answer: ____________________

27. 27

    Constant of proportionality through (3, 10)

    Answer: ____________________

28. 28

    Calculate 23 of a wall painted in 13 hour

    Answer: ____________________

29. 29

    Mass 27 g, volume 10 cm³, find the density

    Answer: ____________________

30. 30

    $1 = €0.92. Change $65 to euros.

    Answer: ____________________

31. 31

    Calculate √81

    Answer: ____________________

32. 32

    Estimate √50 to the nearest tenth

    Answer: ____________________

33. 33

    Is √81 rational or irrational
    1. A) Rational
    2. B) Irrational

34. 34

    Solve x³ = 125

    Answer: ____________________

35. 35

    Find the median of 12, 5, 9, 15, 10, 7.

    Answer: ____________________

36. 36

    Find the mean of the frequency table x: 1, 2, 3, 4, 5; f: 2, 5, 9, 6, 3.

    Answer: ____________________

37. 37

    Is "How many days are in a week?" a statistical question
    1. A) Yes
    2. B) No

38. 38

    MAD of 12, 15, 15, 18, 20

    Answer: ____________________

39. 39

    A circle graph has a 54° slice for green, what percent green

    Answer: ____________________

40. 40

    Is it a good sample: to find the favorite sport at a school, ask 20 players on the soccer team
    1. A) Yes
    2. B) No