1B

Study Guide 1B

Draw a number line to represent each set of numbers.

1. A vertical number line to represent the following mixed numbers between 5 and 6:

5 3/4, 5 1/5, 5 3/10, 5 1/2

2. A horizontal number line to represent the following decimals between 8 and 9:

8.2, 8.45, 8.6, 8.1, 8.9

Fill in the blanks with > or <. Use a number line to help you.

3. 4.08 _____ 4.80 4. 17.7 _____ 17 3/4

Write each number as a product of its prime factors:

5. 90 = _____________________________________________

6. 720 = ____________________________________________

Solve. Show your work.

7. Write 36 + 54 as a product of their greatest common factor and another sum.

8. Find the greatest common factor of 350, 63 and 49.

9. Find the least common multiple of 15, 30 and 45.

10. Given that 19³ = 6859, evaluate ³√ 54872.

11. Find any one number between 18 and 36 which has 7 as a factor.

12. Find two consecutive numbers whose cubes produce the sum of 559.

13. Find two consecutive numbers whose squares differ by 23.

14. How many 0.5 foot tiles are needed to completely cover a 6 foot square wall?

15. Rosie has two strings. The first strong measures 96 centimeters and the second string measures 72 centimeters. She wants to cut the strings into equal lengths.

a). Find the least number of strings of equal length she can get.

b). What is the length of each string?

16. Bus A takes 42 minutes to complete its route. Bus B takes 70 minutes to complete its route. If both buses leave the station at 8:30 a.m. at what time will they arrive back at the station at the same time?

ANSWER KEY: Click on the images to enlarge them.