6th Grade Math Review

Decimals & Fractions

100

Evaluate 24.891 + 6.588 − 16.965. Write the answer as a decimal.

14.514

200

Find 6.81 × 8.82. Write the answer as a decimal.

60.0642

300

Find 0.442 ÷ 0.34. Write the answer as a decimal.

1.3

400

Find 1  3/4÷ 1  1/6. Write the answer in simplest form.

1  1/2

500

A mug is 1/5 full. The mug contains 3/8 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed number in simplest form.

1 7/8 cups

Ratios

100

You travel 177 miles in 3 hours. Find the unit rate.

59 miles/hour

200

You earn $28 for washing 7 cars. How much do you earn for washing 6 cars?

$24

300

40% of what number is 26?

65

400

A recipe uses 7 parts of milk for every 5 parts of sugar. How much sugar do you use when you use 28 cups of milk?

20 cups

500

Soup A has 8 grams of sodium in 10 cups. Soup B has 7 grams of sodium in 14 cups. Which soup has more sodium per cup?

Soup A

Number Sense

100

Write 13 ∙ 13 ∙ 13 ∙ 13 ∙ 13 ∙ 13 as a power.

13⁶

200

Find the value of 5⁵.

3125

300

Find the GCF of 56 and 88.

8

400

Find the LCM of 12 and 9.

36

500

Evaluate 7 − 9(17 + 7) ÷ 6².

1

Expressions and Equations

100

Evaluate y² − 3 when y=2.

1

200

Write the phrase, “13 less than a number p,” as an expression.

p - 13

300

Use the Distributive Property to simplify the expression 7 (5x − 6).    

35x - 42

400

You purchase z items for $6 each. The total cost is $36. Write an equation that you can use to find z. Then solve for z.

6z = 36

$6

500

You have $10 and earn $0.25 for each cup of orange juice you sell. Write an expression that represents the total amount A (in dollars) you have after selling j cups of orange juice.  How much would earn when you sell 5 orange juices?

10 + 0.25j

$11.25

Mixed Review

100

A group of five sixth-graders measure and record their heights. The heights (in inches) are 53, 54, 63, 55, and 55. Find the mean and the median of the heights.

Mean = 56; median = 55

200

Write 43/50 as a percent.

86%

300

How many yards are in 6 feet?

2 yards

400

Find the interquartile range of the data.

70, 53, 62, 60, 54, 60, 67, 65, 67

10

500

An archaeological map uses a coordinate plane in which the coordinates are measured in meters. The vertices of a chamber are (−3, −4), (6, −4), (6, 1), and (−3, 1). Find the perimeter and area of the chamber.

Perimeter = 28 m

Area = 45 m²