CH 1

Study Guide 1A Note: Study Guide 1B is a link at bottom of page.

Draw a number line to represent each set of numbers.

1. A horizontal number line to represent even numbers between 18 and 28.

2. A vertical number line to represent fractions between 4 and 5 with an interval of 1/6 between each pair of fractions.

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

3. 9.3 ____ 9 1/2

4. 6 3/4 ____ 6 7/10

Write each number as a product of its prime factors.

5. 80 = ________________________________________________________

6. 2,800 = _____________________________________________________

Solve. Show your work.

7. Find the greatest common factor of 18 and 60.

8. Find the first two common multiples of 2,5 and 6.

9. Given that √ 3136 = 56, find the value of 560².

10. Find the value of 6² x 5³ ÷ 10².

11. Find 2 consecutive numbers whose squares add to 481.

12. Find two consecutive numbers whose cubes differ by 91.

13. Abby takes 4 minutes to draw a picture. Bob takes 5 minutes to draw a picture. I they start drawing pictures at the same time how long will they draw before they can complete a picture at the same time?

14. How many 10 cm squares are needed to completely cover a 50 centimeter square without overlapping?

15. How many 2-inch cubes are needed to completely fill a cubic box of edges 10 inches?

16. There are 40 peaches, 30 apricots and 25 mangoes in a basket. The fruit are packed into bags. All of the fruit are used. An equal number of each fruit is packed into each bag.

a) What is the least possible number of bags of fruit packed?

b) How many pieces of each fruit are packed into each bag?

Answer Key: