Grade 7 math worksheets, practice and tests

Fractions and Decimals

Sample Question

Convert the fraction $\dfrac { 1 } { 2 }$ to a decimal number.

A.
$0.05$

B.
$0.5$

C.
$0.4$

D.
$0.06$

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Data Handling - Probability, Statistics

Sample Question

Massimo measures the height of 10 of his friends as follows (in centimeters):
111, 158, 117, 150, 145, 147, 126, 141, 140 and 113
What is the average of their heights?

A. 139.8

B. 128.8

C. 134.8

D. 136.8

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Simple Equations

Sample Question

Mr. and Mrs. Bhattacharya went to theatre with their 5 children. The children were charged with half of the entrance fee. If the total fee charged was €45, what is the entrance fee for each adult?

A. €7

B. €9

C. €10

D. €13

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Lines and Angles

Sample Question

Name the points that are present in the interior of the $\angle B O D$ .

A. $O, C$

B. $O$

C. $B, O, A$

D. $C$

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Triangle and its properties

Sample Question

If sides of a triangle are 80 m, 48 m and 64 m, what is the type of triangle?

A. Obtuse angled triangle

B. Acute angled triangle

C. Right angled triangle

D. Can not be determined

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Congruence of Triangles

Sample Question

Which of the following statement is false ?

A. Two angles are congruent if they have the same measure.

B. Two line segments are congruent if they have the same length.

C. If the hypotenuse of a right triangle is equal to hypotenuse of another right triangle then the triangles are congruent.

D. If two squares have equal areas, they are congruent.

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Comparing Quantities

Sample Question

Sonia stays in the school hostel and gets €4450 from home every month. She spends 14% of it on the hostel fee. What is the monthly hostel fee?

A. €625

B. €635.3

C. €636

D. €623

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Rational Numbers

Sample Question

What is the additive inverse of $\dfrac{ 64 }{ -29 }?$

A. $\dfrac{ -29 } { -64 }$

B. $\dfrac{ 64 }{ 29 }$

C. $\dfrac{ 64 }{ -29 }$

D. $\dfrac{ -29 } { 64 }$

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Mensuration - Perimeter, Area, Volume

Sample Question

What is the perimeter of a triangle two of whose sides are 51 cm each and the third side is 100 cm ?

A. 102 cm

B. 202 cm

C. 251 cm

D. 200 cm

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Algebric Expressions

Sample Question

If P= -3p² - 3p - 5, Q=7p² - 3p + 1 and R=7p² - 5p + 4, find (P-Q+R).

A. -3p² - 5p - 2

B. -3p² + 5p - 2

C. -3p² - 5p + 2

D. 3p² - 5p - 2

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Exponents and Powers

Sample Question

Simplify
$\left\{ \left( \dfrac { 1 }{ 3 } \right)^{ 0 } + \left( \dfrac{ 3 }{ 2 } \right)^{ -3 } \right\}^{ -1 }$ = ?

A. $\dfrac{ 4 }{ 5 }$

B. $\dfrac{ 6 }{ 7 }$

C. $\dfrac{ 27 } { 35 }$

D. $\dfrac{ 9 }{ 11 }$

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Symmetry

Sample Question

Find the order of rotational symmetry in the given image.

A. 4

B. 2

C. 3

D. 5

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Percentage

Sample Question

Convert $\dfrac{ 1 } { 39 }$ into percentage.

A. $\dfrac{ 39 } { 100 } \%$

B. $\dfrac{ 1 } { 3900 } \%$

C. $\dfrac{ 10 } { 39 } \%$

D. $\dfrac{ 100 } { 39 } \%$

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Fractions

Sample Question

Mattia baked two cakes. He used $\dfrac{ 2 }{ 3 }$ cup of sugar for one cake and $\dfrac{ 7 }{ 13 }$ cup of sugar for the other. How much sugar did he use in all?

A.
$\dfrac{ 47 }{ 39 }$

B.
$\dfrac{ 47 }{ 41 }$

C.
$\dfrac{ 47 }{ 42 }$

D.
$\dfrac{ 47 }{ 40 }$

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New Online Test

Unlimited Online Practice

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Algebra-Expressions and Equations

Sample Question

If p is an integer, which of following must be an odd integer?

A. 38p² + 5

B. 5p

C. 5p + 38

D. p² + 5

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New Online Test

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First three months in school

Sample Question

A turtle can walk
1
5
of a kilometer in an hour. It is
3
4
of a kilometer away from a pond. At this speed, how long will the turtle take to reach the pond?

A. 4

B.
5 3
4

C.
3 1
2

D.
3 3
4

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2nd quarter in school

Sample Question

Find the sum of following polynomials:
-8p³ - 4q³ - 8pq² + 7pq + 6q - 12 and 8p³ - 9p²q - 8pq² + 5pq - q + 5

A. -4q³ - 9p²q - 16pq² + 12pq - 5q - 7

B. -4q³ - 9p²q + 16pq² + 12pq + 5q - 7

C. -4q³ - 9p²q - 16pq² + 12pq + 5q - 7

D. -4q³ + 9p²q - 16pq² + 12pq + 5q - 7

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3rd quarter in school

Sample Question

Find the area of un-shaded part (area of each small square is 1 cm²).

A. 26.5 cm²

B. 28 cm²

C. 27.5 cm²

D. 27 cm²

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New Online Test

Unlimited Online Practice

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Full Year 7th Grade Review

Sample Question

Identify the pair of like decimals.

A. 395.2 and 89.184

B. 5.29 and 95.20

C. 768.5 and 614.28

D. 2.62 and 30.465

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New Online Test

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Grade 7 Math

Integers

Sample Question

Subtract: 6 − 2

A. 6

B. 9

C. 8

D. 4

Fractions and Decimals

Sample Question

Convert the fraction $\dfrac { 1 } { 2 }$ to a decimal number.

A.
$0.05$

B.
$0.5$

C.
$0.4$

D.
$0.06$

Data Handling - Probability, Statistics

Sample Question

Massimo measures the height of 10 of his friends as follows (in centimeters):
111, 158, 117, 150, 145, 147, 126, 141, 140 and 113
What is the average of their heights?

A. 139.8

B. 128.8

C. 134.8

D. 136.8

Simple Equations

Sample Question

Mr. and Mrs. Bhattacharya went to theatre with their 5 children. The children were charged with half of the entrance fee. If the total fee charged was €45, what is the entrance fee for each adult?

A. €7

B. €9

C. €10

D. €13

Lines and Angles

Sample Question

Name the points that are present in the interior of the $\angle B O D$ .

A. $O, C$

B. $O$

C. $B, O, A$

D. $C$

Triangle and its properties

Sample Question

If sides of a triangle are 80 m, 48 m and 64 m, what is the type of triangle?

A. Obtuse angled triangle

B. Acute angled triangle

C. Right angled triangle

D. Can not be determined

Comparing Quantities

Sample Question

Sonia stays in the school hostel and gets €4450 from home every month. She spends 14% of it on the hostel fee. What is the monthly hostel fee?

A. €625

B. €635.3

C. €636

D. €623

Rational Numbers

Sample Question

What is the additive inverse of $\dfrac{ 64 }{ -29 }?$

A. $\dfrac{ -29 } { -64 }$

B. $\dfrac{ 64 }{ 29 }$

C. $\dfrac{ 64 }{ -29 }$

D. $\dfrac{ -29 } { 64 }$

Mensuration - Perimeter, Area, Volume

Sample Question

What is the perimeter of a triangle two of whose sides are 51 cm each and the third side is 100 cm ?

A. 102 cm

B. 202 cm

C. 251 cm

D. 200 cm

Algebric Expressions

Sample Question

If P= -3p² - 3p - 5, Q=7p² - 3p + 1 and R=7p² - 5p + 4, find (P-Q+R).

A. -3p² - 5p - 2

B. -3p² + 5p - 2

C. -3p² - 5p + 2

D. 3p² - 5p - 2

Exponents and Powers

Sample Question

Simplify
$\left\{ \left( \dfrac { 1 }{ 3 } \right)^{ 0 } + \left( \dfrac{ 3 }{ 2 } \right)^{ -3 } \right\}^{ -1 }$ = ?

A. $\dfrac{ 4 }{ 5 }$

B. $\dfrac{ 6 }{ 7 }$

C. $\dfrac{ 27 } { 35 }$

D. $\dfrac{ 9 }{ 11 }$

Symmetry

Sample Question

Find the order of rotational symmetry in the given image.

A. 4

B. 2

C. 3

D. 5

Percentage

Sample Question

Convert $\dfrac{ 1 } { 39 }$ into percentage.

A. $\dfrac{ 39 } { 100 } \%$

B. $\dfrac{ 1 } { 3900 } \%$

C. $\dfrac{ 10 } { 39 } \%$

D. $\dfrac{ 100 } { 39 } \%$

Fractions

Sample Question

Mattia baked two cakes. He used $\dfrac{ 2 }{ 3 }$ cup of sugar for one cake and $\dfrac{ 7 }{ 13 }$ cup of sugar for the other. How much sugar did he use in all?

A.
$\dfrac{ 47 }{ 39 }$

B.
$\dfrac{ 47 }{ 41 }$

C.
$\dfrac{ 47 }{ 42 }$

D.
$\dfrac{ 47 }{ 40 }$

Algebra-Expressions and Equations

Sample Question

If p is an integer, which of following must be an odd integer?

A. 38p² + 5

B. 5p

C. 5p + 38

D. p² + 5

First three months in school

Sample Question

A turtle can walk
1
5
of a kilometer in an hour. It is
3
4
of a kilometer away from a pond. At this speed, how long will the turtle take to reach the pond?

A. 4

B.
5 3
4

C.
3 1
2

D.
3 3
4

3rd quarter in school

Sample Question

Find the area of un-shaded part (area of each small square is 1 cm²).

A. 26.5 cm²

B. 28 cm²

C. 27.5 cm²

D. 27 cm²

Full Year 7th Grade Review

Sample Question

Identify the pair of like decimals.

A. 395.2 and 89.184

B. 5.29 and 95.20

C. 768.5 and 614.28

D. 2.62 and 30.465

A.	Obtuse angled triangle
B.	Acute angled triangle
C.	Right angled triangle
D.	Can not be determined

A.	Two angles are congruent if they have the same measure.
B.	Two line segments are congruent if they have the same length.
C.	If the hypotenuse of a right triangle is equal to hypotenuse of another right triangle then the triangles are congruent.
D.	If two squares have equal areas, they are congruent.

A.	$\dfrac{ -29 } { -64 }$
B.	$\dfrac{ 64 }{ 29 }$
C.	$\dfrac{ 64 }{ -29 }$
D.	$\dfrac{ -29 } { 64 }$

A.	-3p² - 5p - 2
B.	-3p² + 5p - 2
C.	-3p² - 5p + 2
D.	3p² - 5p - 2

A.	$\dfrac{ 4 }{ 5 }$
B.	$\dfrac{ 6 }{ 7 }$
C.	$\dfrac{ 27 } { 35 }$
D.	$\dfrac{ 9 }{ 11 }$

A.	$\dfrac{ 39 } { 100 } \%$
B.	$\dfrac{ 1 } { 3900 } \%$
C.	$\dfrac{ 10 } { 39 } \%$
D.	$\dfrac{ 100 } { 39 } \%$

A.	$\dfrac{ 47 }{ 39 }$
B.	$\dfrac{ 47 }{ 41 }$
C.	$\dfrac{ 47 }{ 42 }$
D.	$\dfrac{ 47 }{ 40 }$

A.	-4q³ - 9p²q - 16pq² + 12pq - 5q - 7
B.	-4q³ - 9p²q + 16pq² + 12pq + 5q - 7
C.	-4q³ - 9p²q - 16pq² + 12pq + 5q - 7
D.	-4q³ + 9p²q - 16pq² + 12pq + 5q - 7

A.	395.2 and 89.184
B.	5.29 and 95.20
C.	768.5 and 614.28
D.	2.62 and 30.465

Grade 7 Math

Integers Sample Question Subtract: 6 − 2 -10-9-8-7-6-5-4-3-2-1012345678910 A.6 B.9 C.8 D.4

Fractions and Decimals Sample Question Convert the fraction 1212 \dfrac { 1 } { 2 } to a decimal number. A.0.050.05 0.05 B.0.50.5 0.5 C.0.40.4 0.4 D.0.060.06 0.06

Data Handling - Probability, Statistics Sample Question Massimo measures the height of 10 of his friends as follows (in centimeters):111, 158, 117, 150, 145, 147, 126, 141, 140 and 113What is the average of their heights? A.139.8 B.128.8 C.134.8 D.136.8

Simple Equations Sample Question Mr. and Mrs. Bhattacharya went to theatre with their 5 children. The children were charged with half of the entrance fee. If the total fee charged was €45, what is the entrance fee for each adult? A.€7 B.€9 C.€10 D.€13

Lines and Angles Sample Question Name the points that are present in the interior of the ∠BOD∠BOD \angle B O D . O B C D A A.O,CO,CO, C B.OO O C.B,O,AB,O,AB, O, A D.CCC

Triangle and its properties Sample Question If sides of a triangle are 80 m, 48 m and 64 m, what is the type of triangle? A.Obtuse angled triangle B.Acute angled triangle C.Right angled triangle D.Can not be determined

Comparing Quantities Sample Question Sonia stays in the school hostel and gets €4450 from home every month. She spends 14% of it on the hostel fee. What is the monthly hostel fee? A.€625 B.€635.3 C.€636 D.€623

Rational Numbers Sample Question What is the additive inverse of 64−29?64−29? \dfrac{ 64 }{ -29 }? A.−29−64−29−64 \dfrac{ -29 } { -64 } B.64296429 \dfrac{ 64 }{ 29 } C.64−2964−29 \dfrac{ 64 }{ -29 } D.−2964−2964 \dfrac{ -29 } { 64 }

Mensuration - Perimeter, Area, Volume Sample Question What is the perimeter of a triangle two of whose sides are 51 cm each and the third side is 100 cm ? A.102 cm B.202 cm C.251 cm D.200 cm

Algebric Expressions Sample Question If P= -3p2 - 3p - 5, Q=7p2 - 3p + 1 and R=7p2 - 5p + 4, find (P-Q+R). A. -3p2 - 5p - 2 B. -3p2 + 5p - 2 C. -3p2 - 5p + 2 D.3p2 - 5p - 2

Exponents and Powers Sample Question Simplify{(13)0+(32)−3}−1{(13)0+(32)−3}−1 \left\{ \left( \dfrac { 1 }{ 3 } \right)^{ 0 } + \left( \dfrac{ 3 }{ 2 } \right)^{ -3 } \right\}^{ -1 } = ? A.4545\dfrac{ 4 }{ 5 } B.6767\dfrac{ 6 }{ 7 } C.27352735\dfrac{ 27 } { 35 } D.911911\dfrac{ 9 }{ 11 }

Symmetry Sample Question Find the order of rotational symmetry in the given image. A.4 B.2 C.3 D.5

Percentage Sample Question Convert 139139 \dfrac{ 1 } { 39 } into percentage. A.39100%39100% \dfrac{ 39 } { 100 } \% B.13900%13900% \dfrac{ 1 } { 3900 } \% C.1039%1039% \dfrac{ 10 } { 39 } \% D.10039%10039% \dfrac{ 100 } { 39 } \%

Algebra-Expressions and Equations Sample Question If p is an integer, which of following must be an odd integer? A.38p2 + 5 B.5p C.5p + 38 D.p2 + 5

First three months in school Sample Question A turtle can walk 15 of a kilometer in an hour. It is 34 of a kilometer away from a pond. At this speed, how long will the turtle take to reach the pond? A.4 B. 534 C. 312 D. 334

3rd quarter in school Sample Question Find the area of un-shaded part (area of each small square is 1 cm2). A.26.5 cm2 B.28 cm2 C.27.5 cm2 D.27 cm2

Full Year 7th Grade Review Sample Question Identify the pair of like decimals. A.395.2 and 89.184 B.5.29 and 95.20 C.768.5 and 614.28 D.2.62 and 30.465

Integers

Sample Question

Subtract: 6 − 2

A. 6

B. 9

C. 8

D. 4

Fractions and Decimals

Sample Question

Convert the fraction $\dfrac { 1 } { 2 }$ to a decimal number.

A.
$0.05$

B.
$0.5$

C.
$0.4$

D.
$0.06$

Data Handling - Probability, Statistics

Sample Question

Massimo measures the height of 10 of his friends as follows (in centimeters):
111, 158, 117, 150, 145, 147, 126, 141, 140 and 113
What is the average of their heights?

A. 139.8

B. 128.8

C. 134.8

D. 136.8

Simple Equations

Sample Question

Mr. and Mrs. Bhattacharya went to theatre with their 5 children. The children were charged with half of the entrance fee. If the total fee charged was €45, what is the entrance fee for each adult?

A. €7

B. €9

C. €10

D. €13

Lines and Angles

Sample Question

Name the points that are present in the interior of the $\angle B O D$ .

A. $O, C$

B. $O$

C. $B, O, A$

D. $C$

Triangle and its properties

Sample Question

If sides of a triangle are 80 m, 48 m and 64 m, what is the type of triangle?

A. Obtuse angled triangle

B. Acute angled triangle

C. Right angled triangle

D. Can not be determined

Comparing Quantities

Sample Question

Sonia stays in the school hostel and gets €4450 from home every month. She spends 14% of it on the hostel fee. What is the monthly hostel fee?

A. €625

B. €635.3

C. €636

D. €623

Rational Numbers

Sample Question

What is the additive inverse of $\dfrac{ 64 }{ -29 }?$

A. $\dfrac{ -29 } { -64 }$

B. $\dfrac{ 64 }{ 29 }$

C. $\dfrac{ 64 }{ -29 }$

D. $\dfrac{ -29 } { 64 }$

Mensuration - Perimeter, Area, Volume

Sample Question

What is the perimeter of a triangle two of whose sides are 51 cm each and the third side is 100 cm ?

A. 102 cm

B. 202 cm

C. 251 cm

D. 200 cm

Algebric Expressions

Sample Question

If P= -3p² - 3p - 5, Q=7p² - 3p + 1 and R=7p² - 5p + 4, find (P-Q+R).

A. -3p² - 5p - 2

B. -3p² + 5p - 2

C. -3p² - 5p + 2

D. 3p² - 5p - 2

Exponents and Powers

Sample Question

Simplify
$\left\{ \left( \dfrac { 1 }{ 3 } \right)^{ 0 } + \left( \dfrac{ 3 }{ 2 } \right)^{ -3 } \right\}^{ -1 }$ = ?

A. $\dfrac{ 4 }{ 5 }$

B. $\dfrac{ 6 }{ 7 }$

C. $\dfrac{ 27 } { 35 }$

D. $\dfrac{ 9 }{ 11 }$

Symmetry

Sample Question

Find the order of rotational symmetry in the given image.

A. 4

B. 2

C. 3

D. 5

Percentage

Sample Question

Convert $\dfrac{ 1 } { 39 }$ into percentage.

A. $\dfrac{ 39 } { 100 } \%$

B. $\dfrac{ 1 } { 3900 } \%$

C. $\dfrac{ 10 } { 39 } \%$

D. $\dfrac{ 100 } { 39 } \%$

Algebra-Expressions and Equations

Sample Question

If p is an integer, which of following must be an odd integer?

A. 38p² + 5

B. 5p

C. 5p + 38

D. p² + 5

First three months in school

Sample Question

A turtle can walk
1
5
of a kilometer in an hour. It is
3
4
of a kilometer away from a pond. At this speed, how long will the turtle take to reach the pond?

A. 4

B.
5 3
4

C.
3 1
2

D.
3 3
4

3rd quarter in school

Sample Question

Find the area of un-shaded part (area of each small square is 1 cm²).

A. 26.5 cm²

B. 28 cm²

C. 27.5 cm²

D. 27 cm²

Full Year 7th Grade Review

Sample Question

Identify the pair of like decimals.

A. 395.2 and 89.184

B. 5.29 and 95.20

C. 768.5 and 614.28

D. 2.62 and 30.465