Review for Arithmetic Skills Test

What kinds of problems will appear on the Arithmetic Skills test?

You may wish to review this list of objectives before trying the test. Following the objectives, you will find some practice problems to work. The answers are located after the last question.

Reminder: The Arithmetic Skills Placement test should be taken WITHOUT using a calculator.

Objectives

You should be able to:

o add, subtract, multiply and divide whole numbers.

o add, subtract, multiply and divide fractions.

o add, subtract, multiply and divide decimals.

o tell what operation corresponds with the terms sum, difference, product, and quotient.

o use the symbols =, <, <, >, and > correctly in math sentences.

o use the order of operations to simplify a problem.

o write an improper fraction as a mixed number.

o change a number from fraction form to decimal form.

o change a number from decimal form to fraction form.

o change a decimal or fraction to an equivalent percent.

o change a percent to an equivalent fraction or decimal.

o solve problems using percents.

o solve word problems involving ratios.

o solve word problems involving proportions.

o find the average of several numbers.

o find the area and perimeter of a rectangle.

Practice Problems

1. Simplify: 7,401 + 529 + 384

2. Simplify: 6,043 – 2,679

3. Simplify: 42 x 867

4. Simplify: 989.4 17

5. Simplify:

6. Simplify:

7. Simplify:

8. Simplify:

9. Simplify:

10. Simplify: 3.672 + 2.01

11. Simplify: 7 – 2.453

12. Simplify: 4.1 x 0.32

13. Simplify:

14. Simplify:

15. Simplify:

16. Simplify: 6 ∙ 4

17. Subtract 4 from 12.75.

18. Find the quotient of 1 and .

19. Translate into symbols, and then simplify: Twice the difference of 9 and 2.

20. Translate into symbols: The sum of a and b is greater than the difference

of x and y.

21. If 1 mile is 1760 yards, how many yards are in 1.5 miles?

22. If there are 9 square feet in 1 square yard, how many square feet in of a square yard?

23. Write the ratio of 6 inches to 12 inches as a fraction in lowest terms.

24. Write as a percent.

25. Convert 84% to a fraction, and reduce as much as possible.

26. Write 48% as a decimal.

27. Convert .375 to a percent.

28. Solve the equation =

29. What number is 5% of 42?

30. 45 is what percent of 225?

31. 245 is 35% of what number?

32. Simplify: 3٠4²– 2٠3² +3٠2³

33. Simplify: + 4٠8 - 7

34. Round 85,677 to the nearest hundred.

35. Round $2356.575 to the nearest cent.

36. Find the perimeter of a square if its side is 7.5 inches long.

37. Find the area of a square if its side is 7.5 inches long.

38. Find the perimeter of a rectangle whose length is 8 feet and width is 3 feet.

39. Find the area of a rectangle whose length is 8 feet and whose width is 3 feet.

40. Mary recently sold her house for $100,000. She paid the real estate agent a 7% commission for handling the sale. How much money did the real estate person earn?

41. If you can buy a case (24 cans) of cola for $8.59, what is the price per can to the nearest cent?

42. If Isabella drives her car 210 miles in 4 hours, how far will she drive in 6 hours if she drives at the same rate?

43. A small gym will seat 600 basketball fans. If tickets cost $6.25 each and there is a sellout crowd, how much money will ticket sales bring in for the game?

44. Our basketball team has scored 64, 85, 76, 56, and 94 points in the last five home games. What is the average score for these games?

45. Sam earned $48 last week refereeing soccer games. If he worked 6 hours, what is his hourly pay?

46. The product of 7 and 8 is how much larger than the sum of 7 and 8.

47. The difference of 30 and 5 is how much larger than the quotient of 10 and 2?

48. A quart of 2% reduced-fat milk contains four 1-cup servings. If the quart costs $1.29, find the price per serving to the nearest cent.

49. Use the formula P = 2 L + 2W to find P when L is 8 and W is 4.

50. If the sales tax rate is 6% of the purchase price, how much sales tax is paid on a television that sells for $980?