Grade 7 math worksheets, practice and tests

Integers

Sample Question

Subtract the sum of (-6605) and (-6514) from (-7568).

A. -7477

B. 5551

C. 5547

D. 5553

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Fractions and Decimals

Sample Question

If the capacity of a water tub is $13.9$ liters, how many water tubs can be filled from $347.5$ liters of water?

A. $31$

B. $27$

C. $25$

D. $21$

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Data Handling - Probability, Statistics

Sample Question

A group of students from an American school are selected for a study. The color of the eyes of the students are noted as below:
Color of Eyes Number of Students
black 11
grey 10
blue 7
brown 5
green 4

What is the probability that the color of a student's eyes, chosen randomly, is blue?

A.
5
30

B.
1
37

C.
8
37

D.
7
37

Color of Eyes	Number of Students
black	11
grey	10
blue	7
brown	5
green	4

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Simple Equations

Sample Question

Write the following using numbers, literals and signs of basic operations:
Quotient of $a$ by $13$ is multiplied by $b.$

A. $\dfrac{ a }{ 13b}$

B. $\dfrac{ 13 }{ ab}$

C. $\dfrac{ ab }{ 13 }$

D. $\dfrac{ 13a }{ b}$

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New Online Test

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Lines and Angles

Sample Question

The type of $\angle LML$ is

A. Zero angle

B. Complete angle

C. Straight angle

D. Obtuse angle

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New Online Test

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Triangle and its properties

Sample Question

In triangle ΔABC , ∠B = 30° and bisectors of angles A and C meet at point D. Find ∠ADC.

A. 110°

B. 105°

C. 95°

D. 115°

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Congruence of Triangles

Sample Question

Which of the following properties cannot prove that two triangles are congruent?

A. ASA

B. AAA

C. SAS

D. SSS

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New Online Test

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Comparing Quantities

Sample Question

Charlotte scored 61% in an exam with 122 marks. If Leon got 106 marks in same exam, find the percentage obtained by Leon.

A. 53%

B. 55%

C. 49%

D. 45%

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New Online Test

Unlimited Online Practice

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Rational Numbers

Sample Question

Simplify:
5 + 9 × 9 - 4 + 41 ÷ 90

A.
7421
89

B.
7421
90

C.
1237
15

D.
742
9

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New Online Test

Unlimited Online Practice

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Mensuration - Perimeter, Area, Volume

Sample Question

What is the area of the given figure?
(All measurements are in metres)

A. 278 m²

B. 414 m²

C. 144 m²

D. 138 m²

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New Online Test

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Algebric Expressions

Sample Question

Multiply:
$(7 c^{ } - 4 d^{ })$ and $( 21 c^{ } - 24 d^{ 5 } )$

A.
$147 c - 168 c^{ } d^{ 5 } - 84 d^{ } c^{ } + 96 d^{ 6 }$

B.
$147 c^{ 2 } - c^{ } d^{ 5 } - 84 d^{ } c^{ } + 96 d^{ 6 }$

C.
$c^{ 2 } - 168 c^{ } d^{ 5 } - 84 d^{ } c^{ } + 96 d^{ 6 }$

D.
$147 c^{ 2 } - 168 c^{ } d^{ 5 } - 84 d^{ } c^{ } + 96 d^{ 6 }$

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Exponents and Powers

Sample Question

$\left( \dfrac{ 4 }{ 3} \right)^2 \div \left( \dfrac{ 16 }{ 9 } \right)^2 = \space ?$

A.
$\dfrac{ 9 }{ 16 }$

B.
$\dfrac{ 9 }{ 64 }$

C.
$\dfrac{ 27 }{ 64 }$

D.
$\dfrac{ 27 }{ 16 }$

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New Online Test

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Symmetry

Sample Question

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

A. 3

B. 5

C. 6

D. 4

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New Online Test

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Percentage

Sample Question

By selling a decorative for $€ 360$ , Ralph loses $20\%$ . For how much should he sell it to gain $30\%$ . (Round off the calculations to $2$ decimal places.)
Ralph

A.
$€ 601$

B.
$€ 579$

C.
$€ 585$

D.
$€ 592$

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New Online Test

Unlimited Online Practice

EXPLORE

Fractions

Sample Question

Add the following fractions and reduce the sum to the simplest form:

4 7
11
+
4 2
5

A.
9 1
28

B.
8 2
55

C.
9 2
55

D.
9 3
55

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New Online Test

Unlimited Online Practice

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Algebra-Expressions and Equations

Sample Question

Write an algebraic expression for the following using variables, constants and arithmetic operations:
The sum of $q$ with itself.

A.
$q^3$

B.
$3q$

C.
$q^2$

D.
$2q$

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New Online Test

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First three months in school

Sample Question

Simplify the following fractions:

9 47
143
−
1 9
13

A.
7 7
10

B.
6 7
11

C.
7 7
11

D.
7 7
12

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New Online Test

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2nd quarter in school

Sample Question

If $a = 36 ^ { 6 }$ and $b = 6 ^ { 36 },$ then which of the following inequality is true.

A.
$a = b$

B.
$a > b$

C.
$a < b$

D.
Cannot be determined.

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New Online Test

Unlimited Online Practice

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3rd quarter in school

Sample Question

The length of a square field is $58$ metres. What length of wire will be needed for fencing all around the field?

A.
$232 \space m$

B.
$3364 \space m$

C.
$116 \space m$

D.
$174 \space m$

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New Online Test

Unlimited Online Practice

EXPLORE

Full Year 7th Grade Review

Sample Question

Find the area of the given rectangle.

A. $72$ square inches

B. $19$ square inches

C. $70$ square inches

D. $77$ square inches

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New Online Test

Unlimited Online Practice

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Grade 7 Math

Integers

Sample Question

Subtract the sum of (-6605) and (-6514) from (-7568).

A. -7477

B. 5551

C. 5547

D. 5553

Fractions and Decimals

Sample Question

If the capacity of a water tub is $13.9$ liters, how many water tubs can be filled from $347.5$ liters of water?

A. $31$

B. $27$

C. $25$

D. $21$

Simple Equations

Sample Question

Write the following using numbers, literals and signs of basic operations:
Quotient of $a$ by $13$ is multiplied by $b.$

A. $\dfrac{ a }{ 13b}$

B. $\dfrac{ 13 }{ ab}$

C. $\dfrac{ ab }{ 13 }$

D. $\dfrac{ 13a }{ b}$

Lines and Angles

Sample Question

The type of $\angle LML$ is

A. Zero angle

B. Complete angle

C. Straight angle

D. Obtuse angle

Triangle and its properties

Sample Question

In triangle ΔABC , ∠B = 30° and bisectors of angles A and C meet at point D. Find ∠ADC.

A. 110°

B. 105°

C. 95°

D. 115°

Congruence of Triangles

Sample Question

Which of the following properties cannot prove that two triangles are congruent?

A. ASA

B. AAA

C. SAS

D. SSS

Comparing Quantities

Sample Question

Charlotte scored 61% in an exam with 122 marks. If Leon got 106 marks in same exam, find the percentage obtained by Leon.

A. 53%

B. 55%

C. 49%

D. 45%

Rational Numbers

Sample Question

Simplify:
5 + 9 × 9 - 4 + 41 ÷ 90

A.
7421
89

B.
7421
90

C.
1237
15

D.
742
9

Mensuration - Perimeter, Area, Volume

Sample Question

What is the area of the given figure?
(All measurements are in metres)

A. 278 m²

B. 414 m²

C. 144 m²

D. 138 m²

Exponents and Powers

Sample Question

$\left( \dfrac{ 4 }{ 3} \right)^2 \div \left( \dfrac{ 16 }{ 9 } \right)^2 = \space ?$

A.
$\dfrac{ 9 }{ 16 }$

B.
$\dfrac{ 9 }{ 64 }$

C.
$\dfrac{ 27 }{ 64 }$

D.
$\dfrac{ 27 }{ 16 }$

Symmetry

Sample Question

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

A. 3

B. 5

C. 6

D. 4

Percentage

Sample Question

By selling a decorative for $€ 360$ , Ralph loses $20\%$ . For how much should he sell it to gain $30\%$ . (Round off the calculations to $2$ decimal places.)
Ralph

A.
$€ 601$

B.
$€ 579$

C.
$€ 585$

D.
$€ 592$

Fractions

Sample Question

Add the following fractions and reduce the sum to the simplest form:

4 7
11
+
4 2
5

A.
9 1
28

B.
8 2
55

C.
9 2
55

D.
9 3
55

Algebra-Expressions and Equations

Sample Question

Write an algebraic expression for the following using variables, constants and arithmetic operations:
The sum of $q$ with itself.

A.
$q^3$

B.
$3q$

C.
$q^2$

D.
$2q$

First three months in school

Sample Question

Simplify the following fractions:

9 47
143
−
1 9
13

A.
7 7
10

B.
6 7
11

C.
7 7
11

D.
7 7
12

2nd quarter in school

Sample Question

If $a = 36 ^ { 6 }$ and $b = 6 ^ { 36 },$ then which of the following inequality is true.

A.
$a = b$

B.
$a > b$

C.
$a < b$

D.
Cannot be determined.

3rd quarter in school

Sample Question

The length of a square field is $58$ metres. What length of wire will be needed for fencing all around the field?

A.
$232 \space m$

B.
$3364 \space m$

C.
$116 \space m$

D.
$174 \space m$

Full Year 7th Grade Review

Sample Question

Find the area of the given rectangle.

A. $72$ square inches

B. $19$ square inches

C. $70$ square inches

D. $77$ square inches

A.	$\dfrac{ a }{ 13b}$
B.	$\dfrac{ 13 }{ ab}$
C.	$\dfrac{ ab }{ 13 }$
D.	$\dfrac{ 13a }{ b}$

A.	$147 c - 168 c^{ } d^{ 5 } - 84 d^{ } c^{ } + 96 d^{ 6 }$
B.	$147 c^{ 2 } - c^{ } d^{ 5 } - 84 d^{ } c^{ } + 96 d^{ 6 }$
C.	$c^{ 2 } - 168 c^{ } d^{ 5 } - 84 d^{ } c^{ } + 96 d^{ 6 }$
D.	$147 c^{ 2 } - 168 c^{ } d^{ 5 } - 84 d^{ } c^{ } + 96 d^{ 6 }$

A.	$\dfrac{ 9 }{ 16 }$
B.	$\dfrac{ 9 }{ 64 }$
C.	$\dfrac{ 27 }{ 64 }$
D.	$\dfrac{ 27 }{ 16 }$

A.	$232 \space m$
B.	$3364 \space m$
C.	$116 \space m$
D.	$174 \space m$

A.	$72$ square inches
B.	$19$ square inches
C.	$70$ square inches
D.	$77$ square inches

Grade 7 Math

Integers Sample Question Subtract the sum of (-6605) and (-6514) from (-7568). A.-7477 B.5551 C.5547 D.5553

Fractions and Decimals Sample Question If the capacity of a water tub is 13.9 13.9 liters, how many water tubs can be filled from 347.5 347.5 liters of water? A.31 31 B.27 27 C.25 25 D.21 21

Simple Equations Sample Question Write the following using numbers, literals and signs of basic operations:Quotient of a a by 13 13 is multiplied by b. b. A.a13b \dfrac{ a }{ 13b} B.13ab \dfrac{ 13 }{ ab} C.ab13 \dfrac{ ab }{ 13 } D.13ab \dfrac{ 13a }{ b}

Lines and Angles Sample Question The type of ∠LML \angle LML is M L A.Zero angle B.Complete angle C.Straight angle D.Obtuse angle

Triangle and its properties Sample Question In triangle ΔABC , ∠B = 30° and bisectors of angles A and C meet at point D. Find ∠ADC. A.110° B.105° C.95° D.115°

Congruence of Triangles Sample Question Which of the following properties cannot prove that two triangles are congruent? A.ASA B.AAA C.SAS D.SSS

Comparing Quantities Sample Question Charlotte scored 61% in an exam with 122 marks. If Leon got 106 marks in same exam, find the percentage obtained by Leon. A.53% B.55% C.49% D.45%

Rational Numbers Sample Question Simplify:5 + 9 × 9 - 4 + 41 ÷ 90 A. 742189 B. 742190 C. 123715 D. 7429

Mensuration - Perimeter, Area, Volume Sample Question What is the area of the given figure? (All measurements are in metres) A.278 m2 B.414 m2 C.144 m2 D.138 m2

Exponents and Powers Sample Question (43)2÷(169)2= ? \left( \dfrac{ 4 }{ 3} \right)^2 \div \left( \dfrac{ 16 }{ 9 } \right)^2 = \space ? A.916\dfrac{ 9 }{ 16 } B.964\dfrac{ 9 }{ 64 } C.2764\dfrac{ 27 }{ 64 } D.2716\dfrac{ 27 }{ 16 }

Symmetry Sample Question How many lines of symmetry are there in the given figure ? A.3 B.5 C.6 D.4

Percentage Sample Question By selling a decorative for €360€ 360, Ralph loses 20%20\%. For how much should he sell it to gain 30%30\%. (Round off the calculations to 2 2 decimal places.) Ralph A.€601€ 601 B.€579€ 579 C.€585€ 585 D.€592€ 592

Fractions Sample Question Add the following fractions and reduce the sum to the simplest form: 4711 + 425 A. 9128 B. 8255 C. 9255 D. 9355

Algebra-Expressions and Equations Sample Question Write an algebraic expression for the following using variables, constants and arithmetic operations:The sum of q q with itself. A. q3 q^3 B. 3q 3q C. q2 q^2 D. 2q 2q

First three months in school Sample Question Simplify the following fractions: 947143 − 1913 A. 7710 B. 6711 C. 7711 D. 7712

2nd quarter in school Sample Question If a=366 a = 36 ^ { 6 } and b=636, b = 6 ^ { 36 }, then which of the following inequality is true. A. a=b a = b B. a>b a > b C. a<b a < b D. Cannot be determined.

3rd quarter in school Sample Question The length of a square field is 5858 metres. What length of wire will be needed for fencing all around the field? A. 232 m232 \space m B. 3364 m3364 \space m C. 116 m116 \space m D. 174 m174 \space m

Full Year 7th Grade Review Sample Question Find the area of the given rectangle. 14 in 5 in A.7272 square inches B.1919 square inches C.7070 square inches D.7777 square inches

Integers

Sample Question

Subtract the sum of (-6605) and (-6514) from (-7568).

A. -7477

B. 5551

C. 5547

D. 5553

Fractions and Decimals

Sample Question

If the capacity of a water tub is $13.9$ liters, how many water tubs can be filled from $347.5$ liters of water?

A. $31$

B. $27$

C. $25$

D. $21$

Simple Equations

Sample Question

Write the following using numbers, literals and signs of basic operations:
Quotient of $a$ by $13$ is multiplied by $b.$

A. $\dfrac{ a }{ 13b}$

B. $\dfrac{ 13 }{ ab}$

C. $\dfrac{ ab }{ 13 }$

D. $\dfrac{ 13a }{ b}$

Lines and Angles

Sample Question

The type of $\angle LML$ is

A. Zero angle

B. Complete angle

C. Straight angle

D. Obtuse angle

Triangle and its properties

Sample Question

In triangle ΔABC , ∠B = 30° and bisectors of angles A and C meet at point D. Find ∠ADC.

A. 110°

B. 105°

C. 95°

D. 115°

Congruence of Triangles

Sample Question

Which of the following properties cannot prove that two triangles are congruent?

A. ASA

B. AAA

C. SAS

D. SSS

Comparing Quantities

Sample Question

Charlotte scored 61% in an exam with 122 marks. If Leon got 106 marks in same exam, find the percentage obtained by Leon.

A. 53%

B. 55%

C. 49%

D. 45%

Rational Numbers

Sample Question

Simplify:
5 + 9 × 9 - 4 + 41 ÷ 90

A.
7421
89

B.
7421
90

C.
1237
15

D.
742
9

Mensuration - Perimeter, Area, Volume

Sample Question

What is the area of the given figure?
(All measurements are in metres)

A. 278 m²

B. 414 m²

C. 144 m²

D. 138 m²

Exponents and Powers

Sample Question

$\left( \dfrac{ 4 }{ 3} \right)^2 \div \left( \dfrac{ 16 }{ 9 } \right)^2 = \space ?$

A.
$\dfrac{ 9 }{ 16 }$

B.
$\dfrac{ 9 }{ 64 }$

C.
$\dfrac{ 27 }{ 64 }$

D.
$\dfrac{ 27 }{ 16 }$

Symmetry

Sample Question

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

A. 3

B. 5

C. 6

D. 4

Percentage

Sample Question

By selling a decorative for $€ 360$ , Ralph loses $20\%$ . For how much should he sell it to gain $30\%$ . (Round off the calculations to $2$ decimal places.)
Ralph

A.
$€ 601$

B.
$€ 579$

C.
$€ 585$

D.
$€ 592$

Fractions

Sample Question

Add the following fractions and reduce the sum to the simplest form:

4 7
11
+
4 2
5

A.
9 1
28

B.
8 2
55

C.
9 2
55

D.
9 3
55

Algebra-Expressions and Equations

Sample Question

Write an algebraic expression for the following using variables, constants and arithmetic operations:
The sum of $q$ with itself.

A.
$q^3$

B.
$3q$

C.
$q^2$

D.
$2q$

First three months in school

Sample Question

Simplify the following fractions:

9 47
143
−
1 9
13

A.
7 7
10

B.
6 7
11

C.
7 7
11

D.
7 7
12

2nd quarter in school

Sample Question

If $a = 36 ^ { 6 }$ and $b = 6 ^ { 36 },$ then which of the following inequality is true.

A.
$a = b$

B.
$a > b$

C.
$a < b$

D.
Cannot be determined.

3rd quarter in school

Sample Question

The length of a square field is $58$ metres. What length of wire will be needed for fencing all around the field?

A.
$232 \space m$

B.
$3364 \space m$

C.
$116 \space m$

D.
$174 \space m$

Full Year 7th Grade Review

Sample Question

Find the area of the given rectangle.

A. $72$ square inches

B. $19$ square inches

C. $70$ square inches

D. $77$ square inches