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PetMat · 5th Grade (10-11)

Math practice worksheet — 5th Grade (ages 10-11)

Name:

Date:

1. Improper Fractions and Mixed Numbers (Ex. 1)

Fractions, Decimals & Percentages

1. Convert 7/3 to a mixed number.

A2 1/3

B1 4/3

C3 1/3

D2 2/3

2. Convert 11/4 to a mixed number.

A2 3/4

B3 1/4

C2 1/4

D3 3/4

3. Convert 3 2/5 to an improper fraction.

A17/5

B16/5

C15/5

D18/5

4. What are the numerators of these improper fractions (denominator 4)? 5/4 ; 7/4 ; 9/4 ; ___ /4 ; 13/4

→

A11

C10

D12

5. 2 1/2 = 5/2.

True

False

2. Efficient Calculation Strategies (Ex. 1)

Addition & Subtraction

1. What is the most efficient way to calculate 998 + 456?

AAdd 1,000 then subtract 2

BCount up 998 times

CWrite it in columns

DAdd 900 then 98

2. 4,999 + 3,001 = ?

A7,999

B8,000

C8,001

D8,100

3. The quickest way to calculate 500,000 - 499,998 is to:

AUse long subtraction

BCount up from 499,998

CUse a calculator

DRound to nearest 1,000

4. What is the missing number in the sequence? 100 ; 200 ; 400 ; ___ ; 1,600

100

→

200

→

400

→

1600

A798

B800

C799

D801

5. 750 + 250 is easy to calculate mentally because they make a round number.

True

False

3. Reflecting Shapes (Ex. 1)

Geometry

1. When reflecting a point across the y-axis, what changes?

Ay-coordinate only

Bx-coordinate only

Cboth coordinates

Dneither changes

2. The reflection of (3, 2) across the y-axis is?

A(-3, 2)

B(3, -2)

C(-3, -2)

D(3, 2)

3. The reflection of (4, -1) across the x-axis is?

A(4, 1)

B(-4, -1)

C(-4, 1)

D(4, -1)

4. Reflections across y-axis (x changes sign): x=1→x=-1, x=2→x=-2, x=3→x=-3, x=___→x=-4.

→

5. When reflecting across the x-axis, the x-coordinate stays the same and the y-coordinate changes sign.

True

False

4. Volume of Prisms (Ex. 2)

Measurement

1. A box is 10 cm × 4 cm × 3 cm. What is its volume?

A17 cm³

B40 cm³

C120 cm³

D240 cm³

2. A cube has volume 125 cm³. What is the side length?

A3 cm

B4 cm

C5 cm

D6 cm

3. A fish tank is 40 cm × 20 cm × 25 cm. What is its volume?

A2000 cm³

B8000 cm³

C16000 cm³

D20000 cm³

4. Cuboid volumes (l=2, w=2): h=1→V=4, h=2→V=8, h=3→V=12, h=___→V=16.

→

5. Volume is measured in cubic units (cm³ or m³).

True

False

5. Calculating the Mean (Ex. 1)

Data & Simple Statistics

1. Mean of 8, 12, 16, 20?

A12

B14

C16

D18

2. Mean of 3, 7, 11?

3. A team scored: 5, 8, 6, 9, 7. Mean score?

4. Running totals (all equal 10): 10, 20, 30, ___. (4 values, mean=10).

→

A40

B38

C39

D41

5. The mean of 6 and 10 is 8.

True

False

6. Equations with an Unknown Symbol (Ex. 1)

Ratio, Proportion & Early Algebra

1. Solve: x + 5 = 12. What is x?

B17

2. Solve: y - 4 = 9. What is y?

A13

C14

D12

3. Solve: 3n = 18. What is n?

B15

C21

4. Solutions to x + n = 10: x=9 when n=1, x=8 when n=2, x=7 when n=3, x=___ when n=4, x=5 when n=5. What is the missing value?

→

5. The solution to x + 7 = 15 is x = 8.

True

False

7. Dividing 4-Digit Numbers by 2-Digit Numbers (Ex. 1)

Multiplication & Division

1. What is 1,456 ÷ 13?

A112

B114

C110

D116

2. What is 2,405 ÷ 21?

A114 remainder 11

B115 remainder 4

C113 remainder 8

D114 remainder 21

3. What is 3,024 ÷ 24?

A126

B124

C128

D120

4. What is the missing quotient? 1,680 ÷ 12 = 140 ; 1,680 ÷ 14 = 120 ; 1,680 ÷ 20 = 84 ; 1,680 ÷ 21 = ___ ; 1,680 ÷ 24 = 70

140

→

120

→

A80

B78

C79

D81

5. 2,688 ÷ 32 = 84.

True

False

8. Number Lines with Negatives (Ex. 2)

Number & Place Value

1. What is the distance between -3 and 5 on a number line?

2. Which number is halfway between -6 and 0?

A-1

B-2

C-3

D-4

3. Put in order from smallest to largest: 2, -5, 0, -3. The smallest is:

B-3

D-5

4. What is the missing number in the sequence? -9 ; -6 ; -3 ; ___ ; 3

-9

→

-6

→

-3

→

5. -1 is greater than -10.

True

False