6th Grade Math End of Year Review

Fun with Fractions

100

Simplify:  25 / 60 

5/12

200

What is 

3 3/5 + 6 6/15

10

300

What is 

5 1/12 - 2 2/3

3 5/12

400

What is 

4 1/6 xx 1 7/15

6 1/9

500

What is 

6 2/3 -: 2 4/5

2 8/21

Area of Shapes

100

A square has one side measuring 5 feet. What is its area?

25 square feet

200

A triangle has a base of 6 inches and a height of 10 inches. What is its area?

30 square inches

300

What is the area of a rectangle whose given side lengths are 8 cm and 12 cm?

96 square cm

400

What is the area of a circle (in terms of pi) that has a radius of 8 cm?

64pi cm^2

500

A square has an area of 49 square meters. What is the perimeter of the square?

28 meters

Decimals

100

5.6 xx .4

2.24

200

1.8 + 3.76 + 5.048 =

10.608

300

52.1 - 12.52

39.58

400

.25 x 1.2

.3

500

2.5 × 3.5 × 0.01

.0875

Order of Operations

100

30 -: 5 + 2 =

8

200

(5 + 3) xx 8 -: 2 =

32

300

4 + 2 xx (8^2 -4) =

124

400

[5^2 + (10 - 3)] -: 8  =

4

500

(5 + 4) xx (4^2 - 7)  =

81

Ratios

100

If there are 16 boys and 30 girls, what is the ratio of girls to boys in lowest form?

15:8

200

There are 18 marbles in a bag. Four are red, 8 are blue, and the rest are green. What is the ratio of green to red marbles?

3:2

300

Solve for x to make these proportional: 

5/6 = x/36

x = 30

400

Simplify: 144:60

12:5

500

Last week Bill earned $210 for a 30-hour week. What was his pay rate? What would he have earned for a 40-hour week?

Pay rate = $7/hour In a 40-hour week Bill would have earned $280.