5th Grade Math Review Study Outline

Cube

A 3D figure with six square faces.

Rectangular prism edges

12

Cone base shape

Circle

Pyramid vs Prism

A pyramid has triangular faces meeting at a point, a prism has two parallel bases and rectangular faces.

Sphere faces, edges, vertices

0 faces, 0 edges, 0 vertices

Cylinder

A 3D shape with 2 circular bases and a curved surface.

Square

A quadrilateral with four right angles and four equal sides.

Pentagon sides

5

Types of triangles

Equilateral, isosceles, scalene

Rectangle

A parallelogram with four right angles.

Triangle angle sum

180 degrees

Trapezoid

A quadrilateral with one pair of parallel sides.

Standard form of three and forty-five hundredths

3

Place value of 7 in 12.378

Hundredths

Word form of 0.509

Five hundred nine thousandths

Decimal equivalent of 6/100

0

Decimal form of twenty-one and six tenths

21

Value of 3 in 2.345

3 tenths or 0.3

Greater decimal comparison

0.6 is greater than 0.58.

Order decimals from least to greatest

0.209, 0.23, 0.3

Smaller decimal comparison

1.05 is smaller than 1.5.

Fill in the blank for 3.45

3.45 = 3.450

Order decimals from greatest to least

5.78, 5.7, 5.09

Larger decimal comparison

0.1 is larger than 0.099.

Times greater comparison

The 6 in 600 is 10 times greater than the 6 in 60.

1/10 of 4.5

0

3.2 x 100

320

0.08 / 10

0

Value of 7 when 5.67 is multiplied by 10

0

Value of 8 when 78.9 is divided by 100

0

Round 4.56 to the nearest tenth

4

Round 12.345 to the nearest hundredth

12

Round 0.89 to the nearest whole number

1

Round 7.029 to the nearest tenth

7

Round 9.99 to the nearest whole number

10

Round 3.1415 to the nearest hundredth

3

3.4 + 1.25

4

8.9 - 2.34

6

5.06 + 2.9

7

10 - 4.75

5

1.25 + 0.9 + 3.01

5

9.01 - 3.8

5

Formula for the volume of a rectangular prism

Length x Width x Height

Volume of a box

l x w x h

Volume of a box with dimensions

A box is 5 cm long, 3 cm wide, and 2 cm high. What is its volume? Answer: 30 cm³

Unit used to measure volume

Cubic units

Volume of a cube with side length

If a cube has a side length of 4 inches, what is its volume? Answer: 64 in³

Volume of a rectangular prism

A rectangular prism has a volume of 60 cubic meters. If the length is 5 meters and the width is 4 meters, what is the height? Answer: 3 meters

Volume of a cube with side lengths

What is the volume of a cube with side lengths of 6cm? Answer: 216 cm³

Cost of apples

If a store sells apples for $0.75 each, how much will 6 apples cost? Answer: $4.50

Students per team

A group of 120 students is divided into 5 teams. How many students are on each team? Answer: 24 students

Total baseball cards

John has 35 baseball cards. He buys 18 more. How many cards does he have in total? Answer: 53 cards

Cookies given away

Sarah has 48 cookies. She gives 1/4 of them to her friends. How many cookies did she give away? Answer: 12 cookies

Flour needed for half recipe

A recipe calls for 2.5 cups of flour. If you want to make half the recipe, how much flour do you need? Answer: 1.25 cups

Students on school buses

A school bus can seat 64 students. If 4 buses are needed, how many students can ride? Answer: 256 students

Multiply decimals

2.5 x 3.2 = ? Answer: 8

Multiply decimals

0.12 x 4 = ? Answer: 0.48

Multiply decimals

1.5 x 0.06 = ? Answer: 0.09

Multiply decimals

0.8 x 0.9 = ? Answer: 0.72

Multiply decimals

3.14 x 2 = ? Answer: 6.28

Multiply decimals

1.1 x 1.1 = ? Answer: 1.21

Fraction as division problem

Write 3/4 as a division problem. Answer: 3 ÷ 4

Fraction representation of division

What is 5 divided by 8 written as a fraction? Answer: 5/8

Pizza sharing

If 7 people share 2 pizzas, what fraction of a pizza does each person get? Answer: 2/7

Fraction as division problem

What is 1/6 equivalent to as a division problem? Answer: 1 ÷ 6

Fraction representation of division

9/2 is equivalent to what division problem? Answer: 9 ÷ 2

Fraction representation of division

What is 12 divided by 5 as a fraction? Answer: 12/5

Multiplication result

24 x 15 = ? Answer: 360

Division result

364 / 7 = ? Answer: 52

Multiplication result

123 x 21 = ? Answer: 2583

Division result

528 / 12 = ? Answer: 44

Multiplication result

45 x 32 = ? Answer: 1440

Division result

986 / 2 = ? Answer: 493

Divide decimals

6.4 / 2 = ? Answer: 3.2

Divide decimals

1.25 / 0.5 = ? Answer: 2.5

Divide decimals

8.1 / 0.9 = ? Answer: 9

Divide decimals

10 / 0.4 = ? Answer: 25

Divide decimals

2.25 / 1.5 = ? Answer: 1.5

Divide decimals

1.44 / 1.2 = ? Answer: 1.2

Add fractions

1/4 + 1/2 = ? Answer: 3/4

Subtract fractions

3/5 - 1/10 = ? Answer: 1/2

Add fractions

2/3 + 1/6 = ? Answer: 5/6

Subtract fractions

7/8 - 1/4 = ? Answer: 5/8

Add fractions

1/3 + 2/9 = ? Answer: 5/9

Subtract fractions

5/6 - 1/3 = ? Answer: 1/2

Coordinates of the origin

What are the coordinates of the origin? Answer: (0, 0)

X-coordinate in a point

In the point (3, 5), which number represents the x-coordinate? Answer: 3

Y-coordinate in a point

In the point (3, 5), which number represents the y-coordinate? Answer: 5

Coordinates of a point

What are the coordinates of a point 4 units to the right and 2 units up from the origin? Answer: (4, 2)

First quadrant

What quadrant of the coordinate plane only contains positive numbers? Answer: First quadrant

X-axis representation

What does the x-axis represent? Answer: The horizontal axis.

Plotting a point

Plot the point (2, 4). Answer: point plotted on graph