6th grade Math Review

Fractions

100

Convert this improper fraction into a mixed number, then simplify if needed.

21/9

2 1/3

200

Find the sum.

16 9/10 + 7 1/4

24 3/20

300

Find the difference.

18 - 3 2/3

14 1/3

400

Find the product.

1 2/3 x 2 1/6

3 11/18

500

Find the quotient.

3/20 ÷ 3/5

1/4

Decimals

100

Round the following decimal to the nearest whole number.

913.35

913

200

Find the sum.

56.4 + 25.93

82.33

300

Find the difference.

13 - 2.17

10.83

400

Find the product.

0.082 x 83

6.806

500

Find the quotient.  Round quotient to nearest hundredth.

0.272 ÷ 0.3

0.91

Ratios

100

Write the ratio as a fraction and using a colon (:)

Three pizzas cost $15.00

3/15

3:15

200

Write the ratio as a fraction, then simplify it.

On Monday, 3 out of 30 students were absent.

1/10

300

Solve the ratio problem.

It takes 9 players to make a team.  How many teams can be made with 63 players?

7 teams

400

Find b in the problem below.

4/6 = b/24

b = 16

500

Solve the problem.

A boat travels 780 kilometers in 2 hours.  How many kilometers will it travel in 8 hours?

3,120 km

Circles

100

Find the radius of a circle whose diameter is 15 inches.

7.5 inches

200

Find the circumference of a circle whose diameter is 7.6 cm.  Round your answer to the nearest tenth.

23.9 cm

300

Solve the following problem.  Round your answer to the nearest tenth.

Jo's hula hoop has a circumference of 624 cm.  What is the hoop's radius?

99.4 cm

400

Find the area of a circle whose radius is 13.43 cm.  Round your answer to the nearest hundredth.

566.35 cm²

500

Solve the following problem. Round your answer to the nearest hundredth.

Elsa makes and bakes large sugar cookies with a radius of 3 inches.  She puts icing on half of each cookie.  What is the area of the iced part of the cookie?

14.13 in²

Polygons

100

Find the missing angle in a triangle who other 2 interior angles measure 37º and 41º.

102º

200

Find the perimeter of a regular octagon whose sides measure 9 inches.

72 inches

300

Find the area of a quadrilateral whose length measures 12 inches and whose width measures 8 inches.

96 inches²

400

Find the area of a triangle whose base measures 8 meters and whose height measures 9 meters.

36 meters²

500

Find the volume and surface area of a rectangular prism who height measures 6 cm, whose width measures 8 cm, and whose depth measures 2 cm.

Volume = 96 cm³

Surface Area = 154 cm²

Integers/Equations

100

Find the sum.

10 + (-7)

3

200

Find the difference.

-19 - 8

-27

300

Find the product when x=-3 and y=5.

x∙y

-15

400

Combine like terms and rewrite each expression.

5 - 4y + x + 9y

5 + 5y + x

500

Solve for the variable.

-4.9 = 7m

m = -0.7