Math for Year 7 (Quick Topics) | Math Practice, Tests, Worksheets, Quizzes, Assignments

Integers

Sample Question

How many integers are between ^@-4^@ and ^@0?^@

A. ^@4^@

B. ^@5^@

C. ^@3^@

D. ^@2^@

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Fractions and Decimals

Sample Question

A wire of length ^@ 6 \dfrac{ 1 } { 2 } \space m ^@ is broken into two pieces. If first piece is ^@ 4 \dfrac{ 5 } { 8 } \space m ^@ long, then the length of the second piece is:

A. ^@4 \space m^@

B. ^@1 \dfrac{ 7 } { 9 } \space m^@

C. ^@2\dfrac{ 7 } { 8 } \space m^@

D. ^@ 1 \dfrac{ 7 } { 8 } \space m ^@

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Data Handling - Probability, Statistics

Sample Question

Given below are the marks scored by a few students in a test.

^@ \text { Number of students } ^@ 29 2 7 40 26 16
^@ \text { Marks } ^@ 57 18 49 79 10 39

Find the modal marks.

A.
^@80^@

B.
^@83^@

C.
^@ 79 ^@

D.
^@86^@

^@ \text { Number of students } ^@	29	2	7	40	26	16
^@ \text { Marks } ^@	57	18	49	79	10	39

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Simple Equations

Sample Question

If 1x + 3y = 35 and x = 2, the value of y is:

A. 11

B. 7

C. 10

D. 14

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Lines and Angles

Sample Question

Which of the following is false for a triangle?

A. One angle is an obtuse angle

B. Each angle is less than 60°

C. Each angle is equal to 60°

D. Two angles are acute angles

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Triangle and its properties

Sample Question

Study the following:
P: Sum of the lengths of any two sides of a triangle.
Q: Third side of the same triangle.

Which of the given relations is true with respect to a triangle?

A. P = Q

B. P and Q are not related

C. P > Q

D. P < Q

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Congruence of Triangles

Sample Question

State the property of congruence in the given congruent triangles.

A.
^@ \text{ RHS } ^@

B.
^@ \text{ ASA } ^@

C.
^@ \text{ SAS } ^@

D.
^@ \text{ SSS } ^@

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Comparing Quantities

Sample Question

19% of 2.44 is same as :

A. 1.9% of 24.4

B. 190% of 24.4

C. 190% of 244

D. None of these

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Rational Numbers

Sample Question

What is the product of ^@ \dfrac{ -83 }{ 30 } ^@ and ^@ -10? ^@

A. ^@ \dfrac{ 89 } { 6 } ^@

B. ^@ \dfrac{ 83 } { 6 } ^@

C. ^@ \dfrac{ 83 }{ 3 } ^@

D. ^@ \dfrac{ 89 } { 3 } ^@

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Mensuration - Perimeter, Area, Volume

Sample Question

What is the perimeter of the shaded figure?

A. ^@ 11 ^@ units

B. ^@ 12 ^@ units

C. ^@ 13 ^@ units

D. ^@ 9 ^@ units

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Algebric Expressions

Sample Question

If P=3x² - 9x + 5, Q=x² - 9x + 1 and R= -3x² + 2x - 7, find (P-Q+R).

A. -x² + 2x - 3

B. x² + 2x - 3

C. -x² - 2x - 3

D. -x² + 2x + 3

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Exponents and Powers

Sample Question

Simplify:
^@\left\{ \left( \dfrac{ 1 }{ 2} \right)^{ 2 } \times \left( \dfrac{ -1 }{ 2} \right)^{ 2 } \times \left( \dfrac{ 2 }{ 3} \right)^{ 3 } \right\}^{ -1 } = ^@ ?

A.
^@\dfrac{ 1 }{ 32 }^@

B.
^@\dfrac{ -1 }{ 16 }^@

C.
^@ 54 ^@

D.
^@\dfrac{ 1 }{ 8 }^@

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Symmetry

Sample Question

Find the order of rotational symmetry in the given image.

A. 4

B. 5

C. 2

D. 3

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Percentage

Sample Question

Find the percentage of pure gold in ^@ 10 ^@-carat gold, if ^@ 24 ^@-carat gold is ^@100\%^@ pure gold.

A.
^@41\dfrac { 2 } { 3 }\%^@

B.
^@ 42\dfrac { 2 } { 3 }\%^@

C.
^@ 44\dfrac { 2 } { 3 }\%^@

D.
^@ 45\dfrac { 2 } { 3 }\%^@

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Fractions

Sample Question

Which figure shows fraction
1
3
?

A.
♠ ♠ ♠ ♠ ♠

B.
♦ ♦ ♦ ♦ ♦ ♦

C.
♣ ♣ ♣ ♣

D.
♥ ♥ ♥ ♥

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Algebra-Expressions and Equations

Sample Question

The number of hours left in a day is one third the number of hours already passed. How many hours have already passed in the day?

A. 21 hours

B. 15 hours

C. 24 hours

D. 18 hours

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First three months in school

Sample Question

Difference of ^@94056^@ and ^@-98931^@ is:

A. ^@ -192987 ^@

B. ^@ 192987 ^@

C. ^@ -4875 ^@

D. ^@ 4875 ^@

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3rd quarter in school

Sample Question

There are 25 students in a class, out of which 14 are girls. If a teacher randomly picks a student, what is the probability that the student picked is a boy?

A.
11
25

B.
1
5

C.
19
25

D.
1
11

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Full Year 7th Grade Review

Sample Question

The mean of the following frequency distribution is ^@15.25.^@

^@ x_i ^@ ^@1^@ ^@7^@ ^@13^@ ^@19^@ ^@25^@ ^@31^@ ^@ \text{ Total } ^@
^@f_i^@ ^@?^@ ^@4^@ ^@?^@ ^@9^@ ^@12^@ ^@2^@ ^@ 40 ^@

The missing frequencies are:

A.
^@ 10, 8^@

B.
^@6, 3 ^@

C.
^@10, 3^@

D.
^@11, 5^@

^@ x_i ^@	^@1^@	^@7^@	^@13^@	^@19^@	^@25^@	^@31^@	^@ \text{ Total } ^@
^@f_i^@	^@?^@	^@4^@	^@?^@	^@9^@	^@12^@	^@2^@	^@ 40 ^@

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Year 7 Math

Integers

Sample Question

How many integers are between ^@-4^@ and ^@0?^@

A. ^@4^@

B. ^@5^@

C. ^@3^@

D. ^@2^@

Data Handling - Probability, Statistics

Sample Question

Given below are the marks scored by a few students in a test.

^@ \text { Number of students } ^@ 29 2 7 40 26 16
^@ \text { Marks } ^@ 57 18 49 79 10 39

Find the modal marks.

A.
^@80^@

B.
^@83^@

C.
^@ 79 ^@

D.
^@86^@

Simple Equations

Sample Question

If 1x + 3y = 35 and x = 2, the value of y is:

A. 11

B. 7

C. 10

D. 14

Lines and Angles

Sample Question

Which of the following is false for a triangle?

A. One angle is an obtuse angle

B. Each angle is less than 60°

C. Each angle is equal to 60°

D. Two angles are acute angles

Triangle and its properties

Sample Question

Study the following:
P: Sum of the lengths of any two sides of a triangle.
Q: Third side of the same triangle.

Which of the given relations is true with respect to a triangle?

A. P = Q

B. P and Q are not related

C. P > Q

D. P < Q

Congruence of Triangles

Sample Question

State the property of congruence in the given congruent triangles.

A.
^@ \text{ RHS } ^@

B.
^@ \text{ ASA } ^@

C.
^@ \text{ SAS } ^@

D.
^@ \text{ SSS } ^@

Comparing Quantities

Sample Question

19% of 2.44 is same as :

A. 1.9% of 24.4

B. 190% of 24.4

C. 190% of 244

D. None of these

Rational Numbers

Sample Question

What is the product of ^@ \dfrac{ -83 }{ 30 } ^@ and ^@ -10? ^@

A. ^@ \dfrac{ 89 } { 6 } ^@

B. ^@ \dfrac{ 83 } { 6 } ^@

C. ^@ \dfrac{ 83 }{ 3 } ^@

D. ^@ \dfrac{ 89 } { 3 } ^@

Mensuration - Perimeter, Area, Volume

Sample Question

What is the perimeter of the shaded figure?

A. ^@ 11 ^@ units

B. ^@ 12 ^@ units

C. ^@ 13 ^@ units

D. ^@ 9 ^@ units

Algebric Expressions

Sample Question

If P=3x² - 9x + 5, Q=x² - 9x + 1 and R= -3x² + 2x - 7, find (P-Q+R).

A. -x² + 2x - 3

B. x² + 2x - 3

C. -x² - 2x - 3

D. -x² + 2x + 3

Exponents and Powers

Sample Question

Simplify:
^@\left\{ \left( \dfrac{ 1 }{ 2} \right)^{ 2 } \times \left( \dfrac{ -1 }{ 2} \right)^{ 2 } \times \left( \dfrac{ 2 }{ 3} \right)^{ 3 } \right\}^{ -1 } = ^@ ?

A.
^@\dfrac{ 1 }{ 32 }^@

B.
^@\dfrac{ -1 }{ 16 }^@

C.
^@ 54 ^@

D.
^@\dfrac{ 1 }{ 8 }^@

Symmetry

Sample Question

Find the order of rotational symmetry in the given image.

A. 4

B. 5

C. 2

D. 3

Percentage

Sample Question

Find the percentage of pure gold in ^@ 10 ^@-carat gold, if ^@ 24 ^@-carat gold is ^@100\%^@ pure gold.

A.
^@41\dfrac { 2 } { 3 }\%^@

B.
^@ 42\dfrac { 2 } { 3 }\%^@

C.
^@ 44\dfrac { 2 } { 3 }\%^@

D.
^@ 45\dfrac { 2 } { 3 }\%^@

Fractions

Sample Question

Which figure shows fraction
1
3
?

A.
♠ ♠ ♠ ♠ ♠

B.
♦ ♦ ♦ ♦ ♦ ♦

C.
♣ ♣ ♣ ♣

D.
♥ ♥ ♥ ♥

Algebra-Expressions and Equations

Sample Question

The number of hours left in a day is one third the number of hours already passed. How many hours have already passed in the day?

A. 21 hours

B. 15 hours

C. 24 hours

D. 18 hours

First three months in school

Sample Question

Difference of ^@94056^@ and ^@-98931^@ is:

A. ^@ -192987 ^@

B. ^@ 192987 ^@

C. ^@ -4875 ^@

D. ^@ 4875 ^@

2nd quarter in school

Sample Question

Convert 0.158% into decimal.

A. 15.8

B. 0.00158

C. 0.0158

D. 1.58

3rd quarter in school

Sample Question

There are 25 students in a class, out of which 14 are girls. If a teacher randomly picks a student, what is the probability that the student picked is a boy?

A.
11
25

B.
1
5

C.
19
25

D.
1
11

A.	^@4 \space m^@
B.	^@1 \dfrac{ 7 } { 9 } \space m^@
C.	^@2\dfrac{ 7 } { 8 } \space m^@
D.	^@ 1 \dfrac{ 7 } { 8 } \space m ^@

A.	One angle is an obtuse angle
B.	Each angle is less than 60°
C.	Each angle is equal to 60°
D.	Two angles are acute angles

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

A.	^@ \dfrac{ 89 } { 6 } ^@
B.	^@ \dfrac{ 83 } { 6 } ^@
C.	^@ \dfrac{ 83 }{ 3 } ^@
D.	^@ \dfrac{ 89 } { 3 } ^@

A.	^@ 11 ^@ units
B.	^@ 12 ^@ units
C.	^@ 13 ^@ units
D.	^@ 9 ^@ units

A.	^@\dfrac{ 1 }{ 32 }^@
B.	^@\dfrac{ -1 }{ 16 }^@
C.	^@ 54 ^@
D.	^@\dfrac{ 1 }{ 8 }^@

A.	^@41\dfrac { 2 } { 3 }\%^@
B.	^@ 42\dfrac { 2 } { 3 }\%^@
C.	^@ 44\dfrac { 2 } { 3 }\%^@
D.	^@ 45\dfrac { 2 } { 3 }\%^@

Year 7 Math

Integers Sample Question How many integers are between ^@-4^@ and ^@0?^@ A.^@4^@ B.^@5^@ C.^@3^@ D.^@2^@

Data Handling - Probability, Statistics Sample Question Given below are the marks scored by a few students in a test. ^@ \text { Number of students } ^@2927402616 ^@ \text { Marks } ^@571849791039Find the modal marks. A.^@80^@ B.^@83^@ C.^@ 79 ^@ D.^@86^@

Simple Equations Sample Question If 1x + 3y = 35 and x = 2, the value of y is: A.11 B.7 C.10 D.14

Lines and Angles Sample Question Which of the following is false for a triangle? A.One angle is an obtuse angle B.Each angle is less than 60° C.Each angle is equal to 60° D.Two angles are acute angles

Triangle and its properties Sample Question Study the following: P: Sum of the lengths of any two sides of a triangle.Q: Third side of the same triangle.Which of the given relations is true with respect to a triangle? A.P = Q B.P and Q are not related C.P > Q D.P < Q

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

Comparing Quantities Sample Question 19% of 2.44 is same as : A.1.9% of 24.4 B.190% of 24.4 C.190% of 244 D.None of these

Rational Numbers Sample Question What is the product of ^@ \dfrac{ -83 }{ 30 } ^@ and ^@ -10? ^@ A.^@ \dfrac{ 89 } { 6 } ^@ B.^@ \dfrac{ 83 } { 6 } ^@ C.^@ \dfrac{ 83 }{ 3 } ^@ D.^@ \dfrac{ 89 } { 3 } ^@

Mensuration - Perimeter, Area, Volume Sample Question What is the perimeter of the shaded figure? 6 5 4 3 2 1 0 1 2 3 4 5 6 A.^@ 11 ^@ units B.^@ 12 ^@ units C.^@ 13 ^@ units D.^@ 9 ^@ units

Algebric Expressions Sample Question If P=3x2 - 9x + 5, Q=x2 - 9x + 1 and R= -3x2 + 2x - 7, find (P-Q+R). A. -x2 + 2x - 3 B.x2 + 2x - 3 C. -x2 - 2x - 3 D. -x2 + 2x + 3

Exponents and Powers Sample Question Simplify:^@\left\{ \left( \dfrac{ 1 }{ 2} \right)^{ 2 } \times \left( \dfrac{ -1 }{ 2} \right)^{ 2 } \times \left( \dfrac{ 2 }{ 3} \right)^{ 3 } \right\}^{ -1 } = ^@ ? A.^@\dfrac{ 1 }{ 32 }^@ B.^@\dfrac{ -1 }{ 16 }^@ C.^@ 54 ^@ D.^@\dfrac{ 1 }{ 8 }^@

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

Percentage Sample Question Find the percentage of pure gold in ^@ 10 ^@-carat gold, if ^@ 24 ^@-carat gold is ^@100\%^@ pure gold. A. ^@41\dfrac { 2 } { 3 }\%^@ B. ^@ 42\dfrac { 2 } { 3 }\%^@ C. ^@ 44\dfrac { 2 } { 3 }\%^@ D.^@ 45\dfrac { 2 } { 3 }\%^@

Fractions Sample Question Which figure shows fraction 13 ? A. ♠ ♠ ♠ ♠ ♠ B. ♦ ♦ ♦ ♦ ♦ ♦ C. ♣ ♣ ♣ ♣ D. ♥ ♥ ♥ ♥

Algebra-Expressions and Equations Sample Question The number of hours left in a day is one third the number of hours already passed. How many hours have already passed in the day? A.21 hours B.15 hours C.24 hours D.18 hours

First three months in school Sample Question Difference of ^@94056^@ and ^@-98931^@ is: A.^@ -192987 ^@ B.^@ 192987 ^@ C.^@ -4875 ^@ D.^@ 4875 ^@

2nd quarter in school Sample Question Convert 0.158% into decimal. A.15.8 B.0.00158 C.0.0158 D.1.58

3rd quarter in school Sample Question There are 25 students in a class, out of which 14 are girls. If a teacher randomly picks a student, what is the probability that the student picked is a boy? A. 1125 B. 15 C. 1925 D. 111

Full Year 7th Grade Review Sample Question The mean of the following frequency distribution is ^@15.25.^@^@ x_i ^@^@1^@^@7^@^@13^@^@19^@^@25^@^@31^@^@ \text{ Total } ^@^@f_i^@^@?^@^@4^@^@?^@^@9^@^@12^@^@2^@^@ 40 ^@The missing frequencies are: A.^@ 10, 8^@ B.^@6, 3 ^@ C.^@10, 3^@ D.^@11, 5^@

Integers

Sample Question

How many integers are between ^@-4^@ and ^@0?^@

A. ^@4^@

B. ^@5^@

C. ^@3^@

D. ^@2^@

Data Handling - Probability, Statistics

Sample Question

Given below are the marks scored by a few students in a test.

^@ \text { Number of students } ^@ 29 2 7 40 26 16
^@ \text { Marks } ^@ 57 18 49 79 10 39

Find the modal marks.

A.
^@80^@

B.
^@83^@

C.
^@ 79 ^@

D.
^@86^@

Simple Equations

Sample Question

If 1x + 3y = 35 and x = 2, the value of y is:

A. 11

B. 7

C. 10

D. 14

Lines and Angles

Sample Question

Which of the following is false for a triangle?

A. One angle is an obtuse angle

B. Each angle is less than 60°

C. Each angle is equal to 60°

D. Two angles are acute angles

Triangle and its properties

Sample Question

Study the following:
P: Sum of the lengths of any two sides of a triangle.
Q: Third side of the same triangle.

Which of the given relations is true with respect to a triangle?

A. P = Q

B. P and Q are not related

C. P > Q

D. P < Q

Congruence of Triangles

Sample Question

State the property of congruence in the given congruent triangles.

A.
^@ \text{ RHS } ^@

B.
^@ \text{ ASA } ^@

C.
^@ \text{ SAS } ^@

D.
^@ \text{ SSS } ^@

Comparing Quantities

Sample Question

19% of 2.44 is same as :

A. 1.9% of 24.4

B. 190% of 24.4

C. 190% of 244

D. None of these

Rational Numbers

Sample Question

What is the product of ^@ \dfrac{ -83 }{ 30 } ^@ and ^@ -10? ^@

A. ^@ \dfrac{ 89 } { 6 } ^@

B. ^@ \dfrac{ 83 } { 6 } ^@

C. ^@ \dfrac{ 83 }{ 3 } ^@

D. ^@ \dfrac{ 89 } { 3 } ^@

Mensuration - Perimeter, Area, Volume

Sample Question

What is the perimeter of the shaded figure?

A. ^@ 11 ^@ units

B. ^@ 12 ^@ units

C. ^@ 13 ^@ units

D. ^@ 9 ^@ units

Algebric Expressions

Sample Question

If P=3x² - 9x + 5, Q=x² - 9x + 1 and R= -3x² + 2x - 7, find (P-Q+R).

A. -x² + 2x - 3

B. x² + 2x - 3

C. -x² - 2x - 3

D. -x² + 2x + 3

Exponents and Powers

Sample Question

Simplify:
^@\left\{ \left( \dfrac{ 1 }{ 2} \right)^{ 2 } \times \left( \dfrac{ -1 }{ 2} \right)^{ 2 } \times \left( \dfrac{ 2 }{ 3} \right)^{ 3 } \right\}^{ -1 } = ^@ ?

A.
^@\dfrac{ 1 }{ 32 }^@

B.
^@\dfrac{ -1 }{ 16 }^@

C.
^@ 54 ^@

D.
^@\dfrac{ 1 }{ 8 }^@

Symmetry

Sample Question

Find the order of rotational symmetry in the given image.

A. 4

B. 5

C. 2

D. 3

Percentage

Sample Question

Find the percentage of pure gold in ^@ 10 ^@-carat gold, if ^@ 24 ^@-carat gold is ^@100\%^@ pure gold.

A.
^@41\dfrac { 2 } { 3 }\%^@

B.
^@ 42\dfrac { 2 } { 3 }\%^@

C.
^@ 44\dfrac { 2 } { 3 }\%^@

D.
^@ 45\dfrac { 2 } { 3 }\%^@

Fractions

Sample Question

Which figure shows fraction
1
3
?

A.
♠ ♠ ♠ ♠ ♠

B.
♦ ♦ ♦ ♦ ♦ ♦

C.
♣ ♣ ♣ ♣

D.
♥ ♥ ♥ ♥

Algebra-Expressions and Equations

Sample Question

The number of hours left in a day is one third the number of hours already passed. How many hours have already passed in the day?

A. 21 hours

B. 15 hours

C. 24 hours

D. 18 hours

First three months in school

Sample Question

Difference of ^@94056^@ and ^@-98931^@ is:

A. ^@ -192987 ^@

B. ^@ 192987 ^@

C. ^@ -4875 ^@

D. ^@ 4875 ^@

2nd quarter in school

Sample Question

Convert 0.158% into decimal.

A. 15.8

B. 0.00158

C. 0.0158

D. 1.58

3rd quarter in school

Sample Question

There are 25 students in a class, out of which 14 are girls. If a teacher randomly picks a student, what is the probability that the student picked is a boy?

A.
11
25

B.
1
5

C.
19
25

D.
1
11