Grade 7 math worksheets, practice and tests

Integers

Sample Question

How many integers are between $3$ and $6?$

A. $2$

B. $5$

C. $3$

D. $4$

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Fractions and Decimals

Sample Question

A snail crawls 31 cm in 20 minutes. It crawls another 62 cm in 41 minutes. How many metres does it crawl in total?

A. 0.93 m

B. 0.093 m

C. 0.9 m

D. 101 m

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Data Handling - Probability, Statistics

Sample Question

Hiroaki was getting late for his match. While running out the door, he picks up a fruit from the fruit basket which had the following fruits. What is the probability that Hiroaki did not pick a pomegranate?

A.
13
32

B.
11
32

C.
3
4

D.
1
4

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New Online Test

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Simple Equations

Sample Question

The number of days left in the month of April are half the number of days already passed. How many days have already passed in the month of April?

A. 20 days

B. 24 days

C. 22 days

D. 18 days

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Lines and Angles

Sample Question

If AC and EF are parallel, find ∠ADB.

A. 90°

B. 120°

C. 100°

D. 110°

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Triangle and its properties

Sample Question

Find the value of the missing angle.

A. 42°

B. 52°

C. 47°

D. 62°

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New Online Test

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Congruence of Triangles

Sample Question

State the property of congruence in the given congruent triangles.

A.
$\text{ SSS }$

B.
$\text{ ASA }$

C.
$\text{ RHS }$

D.
$\text{ SAS }$

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New Online Test

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Comparing Quantities

Sample Question

In a class, one out of every seven students fails. If there are $42$ students in the class, how many students are passed?

A. $36$

B. $30$

C. $38$

D. $41$

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New Online Test

Unlimited Online Practice

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Rational Numbers

Sample Question

What is the product of $\dfrac{ 12 }{ 47 }$ and $\dfrac{ 81 }{ -10 }?$

A. $\dfrac{ -98 } { 47 }$

B. $\dfrac{ -490 } { 233 }$

C. $\dfrac{ -486 }{ 235 }$

D. $\dfrac{ -486 } { 233 }$

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New Online Test

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Mensuration - Perimeter, Area, Volume

Sample Question

What is the area of the shaded figure?

A. $9$ square units

B. $11$ square units

C. $8$ square units

D. $7$ square units

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New Online Test

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Algebric Expressions

Sample Question

Hideyoshi earns ¥x daily and spends ¥y per week. What are his savings for 8 weeks?

A. 56x − 8y

B. 8x + 56y

C. 8x − 56y

D. 56x + 8y

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New Online Test

Unlimited Online Practice

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Exponents and Powers

Sample Question

Simplify:

$\dfrac { 35 \times 7^ { q + 1 } + 49 \times 7^q } { 11 \times 7^{ q+2 } + 35 \times 7^ { q + 1 } }$

A. $\dfrac { 3 }{ 8 }$

B. $\dfrac{ 2 }{ 5 }$

C. $\dfrac{ 1 }{ 3 }$

D. $\dfrac{ 7 }{ 16 }$

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New Online Test

Unlimited Online Practice

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Symmetry

Sample Question

How many lines of symmetry are there in the given figure ?

A. 2

B. 1

C. 3

D. None

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New Online Test

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Percentage

Sample Question

Convert $\dfrac{ 1 } { 13 }$ into percentage.

A. $\dfrac{ 13 } { 100 } \%$

B. $\dfrac{ 10 } { 13 } \%$

C. $\dfrac{ 1 } { 13 } \%$

D. $\dfrac{ 100 } { 13 } \%$

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New Online Test

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Fractions

Sample Question

The product of $35$ and $1 \dfrac { 5 }{ 49 }$ is:

A. $38 \dfrac{ 3 }{ 7 }$

B. $38 \dfrac { 4 }{ 7 }$

C. $36\dfrac{ 4 } { 7 }$

D. $40$

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New Online Test

Unlimited Online Practice

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Algebra-Expressions and Equations

Sample Question

If 4x + 6y = 66 and x = 6, the value of y is:

A. 7

B. 3

C. 11

D. 8

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New Online Test

Unlimited Online Practice

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First three months in school

Sample Question

There are a few integer values of $a$ such that $\dfrac{ a^2 - 3 a - 3 }{ a - 2 }$ is an integer. Find the sum of all these integer values of $a$ .

A.
$8$

B.
$18$

C.
$14$

D.
$13$

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New Online Test

Unlimited Online Practice

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2nd quarter in school

Sample Question

Find the value of x from the equation:
3x - 5
2x + 5
=
2
3
.

A. x = 3

B. x = 5

C. x = 4

D. x = 7

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New Online Test

Unlimited Online Practice

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3rd quarter in school

Sample Question

The cost of fencing is ¥71 per metre. Find the cost of putting a fence around a triangular park with sides 159 m, 192 m and 181 m.

A. ¥38353

B. ¥37265

C. ¥39337

D. ¥37772

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Full Year 7th Grade Review

Sample Question

What is the average of all possible five-digit numbers that can be formed by using each of the digits 3, 2, 8, 1, and 4 exactly once?

A. 51110.6

B. 39999.6

C. 28888.6

D. 17777.6

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New Online Test

Unlimited Online Practice

EXPLORE

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Grade 7 Math

Integers

Sample Question

How many integers are between $3$ and $6?$

A. $2$

B. $5$

C. $3$

D. $4$

Fractions and Decimals

Sample Question

A snail crawls 31 cm in 20 minutes. It crawls another 62 cm in 41 minutes. How many metres does it crawl in total?

A. 0.93 m

B. 0.093 m

C. 0.9 m

D. 101 m

Data Handling - Probability, Statistics

Sample Question

Hiroaki was getting late for his match. While running out the door, he picks up a fruit from the fruit basket which had the following fruits. What is the probability that Hiroaki did not pick a pomegranate?

A.
13
32

B.
11
32

C.
3
4

D.
1
4

Simple Equations

Sample Question

The number of days left in the month of April are half the number of days already passed. How many days have already passed in the month of April?

A. 20 days

B. 24 days

C. 22 days

D. 18 days

Lines and Angles

Sample Question

If AC and EF are parallel, find ∠ADB.

A. 90°

B. 120°

C. 100°

D. 110°

Triangle and its properties

Sample Question

Find the value of the missing angle.

A. 42°

B. 52°

C. 47°

D. 62°

Congruence of Triangles

Sample Question

State the property of congruence in the given congruent triangles.

A.
$\text{ SSS }$

B.
$\text{ ASA }$

C.
$\text{ RHS }$

D.
$\text{ SAS }$

Comparing Quantities

Sample Question

In a class, one out of every seven students fails. If there are $42$ students in the class, how many students are passed?

A. $36$

B. $30$

C. $38$

D. $41$

Rational Numbers

Sample Question

What is the product of $\dfrac{ 12 }{ 47 }$ and $\dfrac{ 81 }{ -10 }?$

A. $\dfrac{ -98 } { 47 }$

B. $\dfrac{ -490 } { 233 }$

C. $\dfrac{ -486 }{ 235 }$

D. $\dfrac{ -486 } { 233 }$

Mensuration - Perimeter, Area, Volume

Sample Question

What is the area of the shaded figure?

A. $9$ square units

B. $11$ square units

C. $8$ square units

D. $7$ square units

Algebric Expressions

Sample Question

Hideyoshi earns ¥x daily and spends ¥y per week. What are his savings for 8 weeks?

A. 56x − 8y

B. 8x + 56y

C. 8x − 56y

D. 56x + 8y

Exponents and Powers

Sample Question

Simplify:

$\dfrac { 35 \times 7^ { q + 1 } + 49 \times 7^q } { 11 \times 7^{ q+2 } + 35 \times 7^ { q + 1 } }$

A. $\dfrac { 3 }{ 8 }$

B. $\dfrac{ 2 }{ 5 }$

C. $\dfrac{ 1 }{ 3 }$

D. $\dfrac{ 7 }{ 16 }$

Symmetry

Sample Question

How many lines of symmetry are there in the given figure ?

A. 2

B. 1

C. 3

D. None

Percentage

Sample Question

Convert $\dfrac{ 1 } { 13 }$ into percentage.

A. $\dfrac{ 13 } { 100 } \%$

B. $\dfrac{ 10 } { 13 } \%$

C. $\dfrac{ 1 } { 13 } \%$

D. $\dfrac{ 100 } { 13 } \%$

Fractions

Sample Question

The product of $35$ and $1 \dfrac { 5 }{ 49 }$ is:

A. $38 \dfrac{ 3 }{ 7 }$

B. $38 \dfrac { 4 }{ 7 }$

C. $36\dfrac{ 4 } { 7 }$

D. $40$

Algebra-Expressions and Equations

Sample Question

If 4x + 6y = 66 and x = 6, the value of y is:

A. 7

B. 3

C. 11

D. 8

First three months in school

Sample Question

There are a few integer values of $a$ such that $\dfrac{ a^2 - 3 a - 3 }{ a - 2 }$ is an integer. Find the sum of all these integer values of $a$ .

A.
$8$

B.
$18$

C.
$14$

D.
$13$

2nd quarter in school

Sample Question

Find the value of x from the equation:
3x - 5
2x + 5
=
2
3
.

A. x = 3

B. x = 5

C. x = 4

D. x = 7

3rd quarter in school

Sample Question

The cost of fencing is ¥71 per metre. Find the cost of putting a fence around a triangular park with sides 159 m, 192 m and 181 m.

A. ¥38353

B. ¥37265

C. ¥39337

D. ¥37772

Full Year 7th Grade Review

Sample Question

What is the average of all possible five-digit numbers that can be formed by using each of the digits 3, 2, 8, 1, and 4 exactly once?

A. 51110.6

B. 39999.6

C. 28888.6

D. 17777.6

A.	$\text{ SSS }$
B.	$\text{ ASA }$
C.	$\text{ RHS }$
D.	$\text{ SAS }$

A.	$\dfrac{ -98 } { 47 }$
B.	$\dfrac{ -490 } { 233 }$
C.	$\dfrac{ -486 }{ 235 }$
D.	$\dfrac{ -486 } { 233 }$

A.	$9$ square units
B.	$11$ square units
C.	$8$ square units
D.	$7$ square units

A.	$\dfrac { 3 }{ 8 }$
B.	$\dfrac{ 2 }{ 5 }$
C.	$\dfrac{ 1 }{ 3 }$
D.	$\dfrac{ 7 }{ 16 }$

A.	$\dfrac{ 13 } { 100 } \%$
B.	$\dfrac{ 10 } { 13 } \%$
C.	$\dfrac{ 1 } { 13 } \%$
D.	$\dfrac{ 100 } { 13 } \%$

A.	$38 \dfrac{ 3 }{ 7 }$
B.	$38 \dfrac { 4 }{ 7 }$
C.	$36\dfrac{ 4 } { 7 }$
D.	$40$

Grade 7 Math

Integers Sample Question How many integers are between 33 and 6?6? A.22 B.55 C.33 D.44

Fractions and Decimals Sample Question A snail crawls 31 cm in 20 minutes. It crawls another 62 cm in 41 minutes. How many metres does it crawl in total? A.0.93 m B.0.093 m C.0.9 m D.101 m

Data Handling - Probability, Statistics Sample Question Hiroaki was getting late for his match. While running out the door, he picks up a fruit from the fruit basket which had the following fruits. What is the probability that Hiroaki did not pick a pomegranate? A. 1332 B. 1132 C. 34 D. 14

Simple Equations Sample Question The number of days left in the month of April are half the number of days already passed. How many days have already passed in the month of April? A.20 days B.24 days C.22 days D.18 days

Lines and Angles Sample Question If AC and EF are parallel, find ∠ADB. A.90° B.120° C.100° D.110°

Triangle and its properties Sample Question Find the value of the missing angle. A.42° B.52° C.47° D.62°

Congruence of Triangles Sample Question State the property of congruence in the given congruent triangles. D E F X Y Z A. SSS \text{ SSS } B. ASA \text{ ASA } C. RHS \text{ RHS } D. SAS \text{ SAS }

Comparing Quantities Sample Question In a class, one out of every seven students fails. If there are 42 42 students in the class, how many students are passed? A.36 36 B.30 30 C.38 38 D.41 41

Rational Numbers Sample Question What is the product of 1247 \dfrac{ 12 }{ 47 } and 81−10? \dfrac{ 81 }{ -10 }? A.−9847 \dfrac{ -98 } { 47 } B.−490233 \dfrac{ -490 } { 233 } C.−486235 \dfrac{ -486 }{ 235 } D.−486233 \dfrac{ -486 } { 233 }

Mensuration - Perimeter, Area, Volume Sample Question What is the area of the shaded figure? 6 5 4 3 2 1 0 1 2 3 4 5 6 A.9 9 square units B.11 11 square units C.8 8 square units D.7 7 square units

Algebric Expressions Sample Question Hideyoshi earns ¥x daily and spends ¥y per week. What are his savings for 8 weeks? A.56x − 8y B.8x + 56y C.8x − 56y D.56x + 8y

Exponents and Powers Sample Question Simplify:35×7q+1+49×7q11×7q+2+35×7q+1 \dfrac { 35 \times 7^ { q + 1 } + 49 \times 7^q } { 11 \times 7^{ q+2 } + 35 \times 7^ { q + 1 } } A.38 \dfrac { 3 }{ 8 } B.25\dfrac{ 2 }{ 5 } C.13\dfrac{ 1 }{ 3 } D.716\dfrac{ 7 }{ 16 }

Symmetry Sample Question How many lines of symmetry are there in the given figure ? A.2 B.1 C.3 D.None

Percentage Sample Question Convert 113 \dfrac{ 1 } { 13 } into percentage. A.13100% \dfrac{ 13 } { 100 } \% B.1013% \dfrac{ 10 } { 13 } \% C.113% \dfrac{ 1 } { 13 } \% D.10013% \dfrac{ 100 } { 13 } \%

Fractions Sample Question The product of 35 35 and 1549 1 \dfrac { 5 }{ 49 } is: A.3837 38 \dfrac{ 3 }{ 7 } B.3847 38 \dfrac { 4 }{ 7 } C.3647 36\dfrac{ 4 } { 7 } D.40 40

Algebra-Expressions and Equations Sample Question If 4x + 6y = 66 and x = 6, the value of y is: A.7 B.3 C.11 D.8

First three months in school Sample Question There are a few integer values of aa such that a2−3a−3a−2\dfrac{ a^2 - 3 a - 3 }{ a - 2 } is an integer. Find the sum of all these integer values of aa. A.88 B.1818 C.1414 D.1313

2nd quarter in school Sample Question Find the value of x from the equation: 3x - 52x + 5 = 23 . A.x = 3 B.x = 5 C.x = 4 D.x = 7

3rd quarter in school Sample Question The cost of fencing is ¥71 per metre. Find the cost of putting a fence around a triangular park with sides 159 m, 192 m and 181 m. A.¥38353 B.¥37265 C.¥39337 D.¥37772

Full Year 7th Grade Review Sample Question What is the average of all possible five-digit numbers that can be formed by using each of the digits 3, 2, 8, 1, and 4 exactly once? A.51110.6 B.39999.6 C.28888.6 D.17777.6

Integers

Sample Question

How many integers are between $3$ and $6?$

A. $2$

B. $5$

C. $3$

D. $4$

Fractions and Decimals

Sample Question

A snail crawls 31 cm in 20 minutes. It crawls another 62 cm in 41 minutes. How many metres does it crawl in total?

A. 0.93 m

B. 0.093 m

C. 0.9 m

D. 101 m

Simple Equations

Sample Question

The number of days left in the month of April are half the number of days already passed. How many days have already passed in the month of April?

A. 20 days

B. 24 days

C. 22 days

D. 18 days

Lines and Angles

Sample Question

If AC and EF are parallel, find ∠ADB.

A. 90°

B. 120°

C. 100°

D. 110°

Triangle and its properties

Sample Question

Find the value of the missing angle.

A. 42°

B. 52°

C. 47°

D. 62°

Congruence of Triangles

Sample Question

State the property of congruence in the given congruent triangles.

A.
$\text{ SSS }$

B.
$\text{ ASA }$

C.
$\text{ RHS }$

D.
$\text{ SAS }$

Comparing Quantities

Sample Question

In a class, one out of every seven students fails. If there are $42$ students in the class, how many students are passed?

A. $36$

B. $30$

C. $38$

D. $41$

Rational Numbers

Sample Question

What is the product of $\dfrac{ 12 }{ 47 }$ and $\dfrac{ 81 }{ -10 }?$

A. $\dfrac{ -98 } { 47 }$

B. $\dfrac{ -490 } { 233 }$

C. $\dfrac{ -486 }{ 235 }$

D. $\dfrac{ -486 } { 233 }$

Mensuration - Perimeter, Area, Volume

Sample Question

What is the area of the shaded figure?

A. $9$ square units

B. $11$ square units

C. $8$ square units

D. $7$ square units

Algebric Expressions

Sample Question

Hideyoshi earns ¥x daily and spends ¥y per week. What are his savings for 8 weeks?

A. 56x − 8y

B. 8x + 56y

C. 8x − 56y

D. 56x + 8y

Exponents and Powers

Sample Question

Simplify:

$\dfrac { 35 \times 7^ { q + 1 } + 49 \times 7^q } { 11 \times 7^{ q+2 } + 35 \times 7^ { q + 1 } }$

A. $\dfrac { 3 }{ 8 }$

B. $\dfrac{ 2 }{ 5 }$

C. $\dfrac{ 1 }{ 3 }$

D. $\dfrac{ 7 }{ 16 }$

Symmetry

Sample Question

How many lines of symmetry are there in the given figure ?

A. 2

B. 1

C. 3

D. None

Percentage

Sample Question

Convert $\dfrac{ 1 } { 13 }$ into percentage.

A. $\dfrac{ 13 } { 100 } \%$

B. $\dfrac{ 10 } { 13 } \%$

C. $\dfrac{ 1 } { 13 } \%$

D. $\dfrac{ 100 } { 13 } \%$

Fractions

Sample Question

The product of $35$ and $1 \dfrac { 5 }{ 49 }$ is:

A. $38 \dfrac{ 3 }{ 7 }$

B. $38 \dfrac { 4 }{ 7 }$

C. $36\dfrac{ 4 } { 7 }$

D. $40$

Algebra-Expressions and Equations

Sample Question

If 4x + 6y = 66 and x = 6, the value of y is:

A. 7

B. 3

C. 11

D. 8

First three months in school

Sample Question

There are a few integer values of $a$ such that $\dfrac{ a^2 - 3 a - 3 }{ a - 2 }$ is an integer. Find the sum of all these integer values of $a$ .

A.
$8$

B.
$18$

C.
$14$

D.
$13$

2nd quarter in school

Sample Question

Find the value of x from the equation:
3x - 5
2x + 5
=
2
3
.

A. x = 3

B. x = 5

C. x = 4

D. x = 7

3rd quarter in school

Sample Question

The cost of fencing is ¥71 per metre. Find the cost of putting a fence around a triangular park with sides 159 m, 192 m and 181 m.

A. ¥38353

B. ¥37265

C. ¥39337

D. ¥37772

Full Year 7th Grade Review

Sample Question

What is the average of all possible five-digit numbers that can be formed by using each of the digits 3, 2, 8, 1, and 4 exactly once?

A. 51110.6

B. 39999.6

C. 28888.6

D. 17777.6