# 40 Mathematics Problems

1. Turner agrees to buy a boat for $2,800 down and $129 a month for 48 months. What is the total cost of the boat?

2. Rocco scored 81, 89, 68, 92, and 77 on his mathematics quizzes. Round each score to the nearest ten to estimate his total score.

3. a) Name the property of addition that is illustrated.

4 +9 = 9 + 4

b) Write the following in the standard form of a number.

Six hundred one million, twenty-five thousand

4. A stack of plywood is 35 in. high. How many sheets of plywood are in the stack?

5. What is the prime factorization of the number 30?

6. Find the greatest common factor of 28, 42, and 70.

7. You make $80 a day on a job. What will you receive for working day?

8. Evaluate and Simplify: (1/4) - {(2/3)-(1/2)}

9. Add and Simplify: 1 1/7 + 3 1/2

10. Arrange the given fractions from smallest to largest: 5/6, 1/13, 1/12

11. Estimate the following product. Round first: 6 1/9 x 2 4/5

12. a) For the decimal 8.62354:

What is the place value of 5?

b) Complete the following statement, using the symbol <, =, or >.

3.671 _____ 3.67

13. Multiply: 2.007 x 0.056

14. a) Find the decimal equivalent for the following fraction: 11/16

b) Write the following as a common fraction or mixed number: 2.0967

15. Add: 54.843 + 2.067 + 104.36

16. Carlos works 8.25 hours and receives $102.30 pay. What will he receive at the same rate if he works if he works 14 hours?

17. Michelle reads 1,000 words in 7 minutes, and Samantha reads 650 words in 2 minutes.

a) Show how fast each person reads per minute.

b) Who is the faster reader?

18. If $5,000.00 is deposited into an account paying 5% interest compounded annually (at the end of each year), how much money is in the account after 2 years? (Round to the nearest cent.)

19. Find the best buy on cashews (1 lb is 16 oz). Justify your answer.

10 oz for $4.79

12 oz for $5.29

1 lb for $6.29

1 lb 4 oz for $7.29

20. Use a proportion to find the unknown side, labeled x, in the following pair of similar figures:

[Please refer to the attachment for the figures]

21. a) Rewrite the statement, using percent notation: Out of every 100 eligible people, 39 voted in a recent election.

b) Write 28% as a fraction or a mixed number. Simplify.

22. 33% of 500 is what number?

23 132 is 44% of what number?

24. A state sales tax rate is 4.8%. If the tax on a purchase was $23.76, what was the price of the purchase?

25. A railing for a deck requires pieces of redwood 5 ft 11 in., 9 ft 5 in., and 4 ft 2 in. long. What is the total length of material that is needed? Simplify.

26. Solve:

7 gal 2 qt 2 pt

- 3 gal 7 qt 3 pt

27. a) Complete the statement. Show conversion factor.

6,000 mL = ________ L

b) Complete the statement. Show conversion factor.

29 m = ________ mm

28. a) Complete the statement.

26.3 gal = ________ L

b) Complete the statement. (Round to the nearest hundredth.)

11 cm = ________ in.

29. A triangle has base 11 feet (ft) and an altitude of 4 ft. Find its area.

30. Find the missing length of the right triangle. Use the Pythagorean Theorem.

[Please refer to the attachment for the figure]

31. Find the missing angle.

[Please refer to the attachment for the figure]

32. A shopping center is rectangular, with dimensions of 660 yards by 110 yards. What is its size in acres?

33. Use the graph, showing the yearly food costs of a family.

[Please refer to the attachment for the figure]

What was the increase in the cost of food from 2000 to 2001?

34. The following table gives the population of certain states according to the 2000 census.

State Population

Illinois 12,419,293

New Jersey 8,414,350

New York 18,976,457

Tennessee 5,689,283

Texas 20,851,820

Construct a bar graph from this information.

35. The table below gives the marital status of the U.S. population 15 years and over, according to the 2000 census.

Marital Status Population

Never married 59,943,370

Married 120,231,273

Separated 4,769,220

Widowed 14,674,500

Divorced 21,560,308

Create a pie chart for the information.

36. Find the five-number summary of the following set of numbers.

13, 3, 12, 15, 7, 14, 7, 2, 10, 7

37. Evaluate: Mod (-15) - Mod (-42)

38. Subtract -0.6 + (-1.4).

39. a) Perform the indicated operation.

-1(-1(-1(-1(-89))))

b) Perform the indicated operation.

(-8)^2

40. Compute as indicated. Simplify

{7(-3)-9(3-7)}/{3(-2+7}

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#### Solution Preview

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1. Turner agrees to buy a boat for $2,800 down and $129 a month for 48 months. What is the total cost of the boat?

Solution:

The total cost of the boat is

$2800+48×$129=$8992

$8992

2. Rocco scored 81, 89, 68, 92, and 77 on his mathematics quizzes. Round each score to the nearest ten to estimate his total score.

Solution:

80,90,70,90,80

Total Score=(80+90+ 70+90+80)=410

80,90,70,90,80

Total Score=

410

3. a) Name the property of addition that is illustrated.

4+9=9+4

b) Write the following in the standard form of a number.

Six hundred one million, twenty-five thousand

Commutative

Property

of

Addition

601000000,

25000

4. A stack of plywood is 35 in. high. How many sheets of plywood are in the stack?

Solution:

The number of sheets of plywood are in the stack is given by

35/(1/2)=2×35=70

70

5. What is the prime factorization of the number 30?

2×3×5

6. Find the greatest common factor of 28, 42, and 70.

7

7. You make $80 a day on a job. What will you receive for working day?

Solution:

$80×2/5=$32 $32

8. Evaluate and Simplify:

Solution:

1/4-(2/3-1/2)

=3/12-(8/12-6/12)

=3/12-(2/12)

=(3-2)/12

=1/12 1/12

9. Add and Simplify.

Solution:

1 1/7+3 1/2

=8/7+7/2

=16/14+49/14

=65/14 65/14

10. Arrange the given fractions from smallest to largest.

, , ...

#### Solution Summary

This solution is comprised of a detailed step-by-step calculation of the given problems. This solution provides students with a clear perspective of underlying concepts.