Grade 9 math worksheets, practice and tests

Number System

Sample Question

Which of the following statement is true ?

A.
4
-3
>
-20
15

B.
4
-3
<
-20
15

C.
4
-2
>
4
-3

D.
4
-3
=
-20
15

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Polynomials

Sample Question

If (x - 1) is a factor of 2x⁴ + x³ + x² + kx - 6, find the value of k.

A. 2

B. 0

C. 1

D. 3

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Coordinate Geometry

Sample Question

Find the coordinates of points which lies on y-axis at a distance of 2 units from origin in the negative direction of y-axis.

A. (-2, 0)

B. (0, 2)

C. (2, 0)

D. (0, -2)

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New Online Test

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Linear Equations in Two Variables

Sample Question

If solutions of a linear equation are (-6, -6), (0, 0) and (6, 6), find the equation.

A. x = y

B. -6x + y = 0

C. x -6y = 0

D. x + y = 0

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Lines and Angles

Sample Question

If AB and CD are parallel, find the value of angle x.

A. 130°

B. 140°

C. 120°

D. 50°

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Triangle

Sample Question

The perpendiculars drawn from the vertices of equal angles of an isosceles triangle to the opposite sides are:

A. Unequal

B. Equal

C.

D.

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Quadrilaterals

Sample Question

In a triangle, ABC, D is a point on AB such that AB = 4AD and E is a point on AC such that AC = 4AE. Find BC.

A. 4ED

B. AD + AE

C. 5ED/2

D. 3ED

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New Online Test

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Area of Rectangle and Triangle

Sample Question

The area of a trapezium is 121.5 cm² and the distance between its parallel sides is 9 cm. If one of the parallel sides is of length 22 cm, find the length of the other side.

A. 2.5 cm

B. 10 cm

C. 3 cm

D. 5 cm

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Circles

Sample Question

If ∠ADC = 110º and chord BC = chord BE. Find ∠CBE.

A. 135°

B. 140º

C. 150°

D. 130°

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Constructions

Sample Question

The contruction of a triangle ^@ ABC ^@ in which ^@ AB = 14 \space cm ^@, ^@ \angle A = 30^\circ ^@ is possible when ^@ BC - AC ^@ is equal to:

A. ^@ 14.5 \space cm ^@

B. ^@ 15 \space cm ^@

C. ^@ 12.5 \space cm ^@

D. ^@ 15.5 \space cm ^@

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New Online Test

Unlimited Online Practice

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Herons Formula

Sample Question

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. If the lengths of the perpendiculars are a, b and c, find the area of the triangle.

A.

B.

C.

D.

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New Online Test

Unlimited Online Practice

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Surface Area and Volume

Sample Question

A sphere is just enclosed inside a right circular cylinder. If volume of the sphere is 360 cm³, find volume of the cylinder

A. 1080 cm³

B. 270 cm³

C. 540 cm³

D. 630 cm³

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New Online Test

Unlimited Online Practice

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Statistics

Sample Question

In a class of 16 students, the average marks in a test was 63. If Yeeun got 62 marks and Jiwoo got 36 marks, what were the average of the other 14 students?

A. 65

B. 64

C. 60

D. 67

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New Online Test

Unlimited Online Practice

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Probability

Sample Question

Two dice are rolled. What is the probability that the two numbers add up to a prime number?

A.
7
36

B.
20
36

C.
12
36

D.
15
36

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New Online Test

Unlimited Online Practice

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Logical Reasoning

Sample Question

If f(x) = x + 8, g(x) = 5x and h(x) = 12/x, find the value of f^-1(g(h(6))).

A. 0

B. 10

C. 18

D. 2

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New Online Test

Unlimited Online Practice

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Full Year 9th Grade Review

Sample Question

The number of boys in a class is four times the number of girls. Which one of the following numbers cannot represent the total number of children in the class?

A. 65

B. 33

C. 20

D. 50

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New Online Test

Unlimited Online Practice

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Subscription Type

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Grade 9 Math

Number System

Sample Question

Which of the following statement is true ?

A.
4
-3
>
-20
15

B.
4
-3
<
-20
15

C.
4
-2
>
4
-3

D.
4
-3
=
-20
15

Polynomials

Sample Question

If (x - 1) is a factor of 2x⁴ + x³ + x² + kx - 6, find the value of k.

A. 2

B. 0

C. 1

D. 3

Coordinate Geometry

Sample Question

Find the coordinates of points which lies on y-axis at a distance of 2 units from origin in the negative direction of y-axis.

A. (-2, 0)

B. (0, 2)

C. (2, 0)

D. (0, -2)

Linear Equations in Two Variables

Sample Question

If solutions of a linear equation are (-6, -6), (0, 0) and (6, 6), find the equation.

A. x = y

B. -6x + y = 0

C. x -6y = 0

D. x + y = 0

Lines and Angles

Sample Question

If AB and CD are parallel, find the value of angle x.

A. 130°

B. 140°

C. 120°

D. 50°

Triangle

Sample Question

The perpendiculars drawn from the vertices of equal angles of an isosceles triangle to the opposite sides are:

A. Unequal

B. Equal

C.

D.

Quadrilaterals

Sample Question

In a triangle, ABC, D is a point on AB such that AB = 4AD and E is a point on AC such that AC = 4AE. Find BC.

A. 4ED

B. AD + AE

C. 5ED/2

D. 3ED

Area of Rectangle and Triangle

Sample Question

The area of a trapezium is 121.5 cm² and the distance between its parallel sides is 9 cm. If one of the parallel sides is of length 22 cm, find the length of the other side.

A. 2.5 cm

B. 10 cm

C. 3 cm

D. 5 cm

Circles

Sample Question

If ∠ADC = 110º and chord BC = chord BE. Find ∠CBE.

A. 135°

B. 140º

C. 150°

D. 130°

Constructions

Sample Question

The contruction of a triangle ^@ ABC ^@ in which ^@ AB = 14 \space cm ^@, ^@ \angle A = 30^\circ ^@ is possible when ^@ BC - AC ^@ is equal to:

A. ^@ 14.5 \space cm ^@

B. ^@ 15 \space cm ^@

C. ^@ 12.5 \space cm ^@

D. ^@ 15.5 \space cm ^@

Herons Formula

Sample Question

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. If the lengths of the perpendiculars are a, b and c, find the area of the triangle.

A.

B.

C.

D.

Surface Area and Volume

Sample Question

A sphere is just enclosed inside a right circular cylinder. If volume of the sphere is 360 cm³, find volume of the cylinder

A. 1080 cm³

B. 270 cm³

C. 540 cm³

D. 630 cm³

Statistics

Sample Question

In a class of 16 students, the average marks in a test was 63. If Yeeun got 62 marks and Jiwoo got 36 marks, what were the average of the other 14 students?

A. 65

B. 64

C. 60

D. 67

Probability

Sample Question

Two dice are rolled. What is the probability that the two numbers add up to a prime number?

A.
7
36

B.
20
36

C.
12
36

D.
15
36

Logical Reasoning

Sample Question

If f(x) = x + 8, g(x) = 5x and h(x) = 12/x, find the value of f^-1(g(h(6))).

A. 0

B. 10

C. 18

D. 2

Full Year 9th Grade Review

Sample Question

The number of boys in a class is four times the number of girls. Which one of the following numbers cannot represent the total number of children in the class?

A. 65

B. 33

C. 20

D. 50

A.	^@ 14.5 \space cm ^@
B.	^@ 15 \space cm ^@
C.	^@ 12.5 \space cm ^@
D.	^@ 15.5 \space cm ^@

Grade 9 Math

Number System Sample Question Which of the following statement is true ? A. 4-3 > -2015 B. 4-3 < -2015 C. 4-2 > 4-3 D. 4-3 = -2015

Polynomials Sample Question If (x - 1) is a factor of 2x4 + x3 + x2 + kx - 6, find the value of k. A.2 B.0 C.1 D.3

Coordinate Geometry Sample Question Find the coordinates of points which lies on y-axis at a distance of 2 units from origin in the negative direction of y-axis. A.(-2, 0) B.(0, 2) C.(2, 0) D.(0, -2)

Linear Equations in Two Variables Sample Question If solutions of a linear equation are (-6, -6), (0, 0) and (6, 6), find the equation. A.x = y B.-6x + y = 0 C.x -6y = 0 D.x + y = 0

Lines and Angles Sample Question If AB and CD are parallel, find the value of angle x. A.130° B.140° C.120° D.50°

Triangle Sample Question The perpendiculars drawn from the vertices of equal angles of an isosceles triangle to the opposite sides are: A.Unequal B.Equal C. D.

Quadrilaterals Sample Question In a triangle, ABC, D is a point on AB such that AB = 4AD and E is a point on AC such that AC = 4AE. Find BC. A.4ED B.AD + AE C.5ED/2 D.3ED

Area of Rectangle and Triangle Sample Question The area of a trapezium is 121.5 cm2 and the distance between its parallel sides is 9 cm. If one of the parallel sides is of length 22 cm, find the length of the other side. A.2.5 cm B.10 cm C.3 cm D.5 cm

Circles Sample Question If ∠ADC = 110º and chord BC = chord BE. Find ∠CBE. A.135° B.140º C.150° D.130°

Constructions Sample Question The contruction of a triangle ^@ ABC ^@ in which ^@ AB = 14 \space cm ^@, ^@ \angle A = 30^\circ ^@ is possible when ^@ BC - AC ^@ is equal to: A.^@ 14.5 \space cm ^@ B.^@ 15 \space cm ^@ C.^@ 12.5 \space cm ^@ D.^@ 15.5 \space cm ^@

Herons Formula Sample Question From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. If the lengths of the perpendiculars are a, b and c, find the area of the triangle. A. B. C. D.

Surface Area and Volume Sample Question A sphere is just enclosed inside a right circular cylinder. If volume of the sphere is 360 cm3, find volume of the cylinder A.1080 cm3 B.270 cm3 C.540 cm3 D.630 cm3

Statistics Sample Question In a class of 16 students, the average marks in a test was 63. If Yeeun got 62 marks and Jiwoo got 36 marks, what were the average of the other 14 students? A.65 B.64 C.60 D.67

Probability Sample Question Two dice are rolled. What is the probability that the two numbers add up to a prime number? A. 736 B. 2036 C. 1236 D. 1536

Logical Reasoning Sample Question If f(x) = x + 8, g(x) = 5x and h(x) = 12/x, find the value of f-1(g(h(6))). A.0 B.10 C.18 D.2

Full Year 9th Grade Review Sample Question The number of boys in a class is four times the number of girls. Which one of the following numbers cannot represent the total number of children in the class? A.65 B.33 C.20 D.50

Number System

Sample Question

Which of the following statement is true ?

A.
4
-3
>
-20
15

B.
4
-3
<
-20
15

C.
4
-2
>
4
-3

D.
4
-3
=
-20
15

Polynomials

Sample Question

If (x - 1) is a factor of 2x⁴ + x³ + x² + kx - 6, find the value of k.

A. 2

B. 0

C. 1

D. 3

Coordinate Geometry

Sample Question

Find the coordinates of points which lies on y-axis at a distance of 2 units from origin in the negative direction of y-axis.

A. (-2, 0)

B. (0, 2)

C. (2, 0)

D. (0, -2)

Linear Equations in Two Variables

Sample Question

If solutions of a linear equation are (-6, -6), (0, 0) and (6, 6), find the equation.

A. x = y

B. -6x + y = 0

C. x -6y = 0

D. x + y = 0

Lines and Angles

Sample Question

If AB and CD are parallel, find the value of angle x.

A. 130°

B. 140°

C. 120°

D. 50°

Triangle

Sample Question

The perpendiculars drawn from the vertices of equal angles of an isosceles triangle to the opposite sides are:

A. Unequal

B. Equal

C.

D.

Quadrilaterals

Sample Question

In a triangle, ABC, D is a point on AB such that AB = 4AD and E is a point on AC such that AC = 4AE. Find BC.

A. 4ED

B. AD + AE

C. 5ED/2

D. 3ED

Area of Rectangle and Triangle

Sample Question

The area of a trapezium is 121.5 cm² and the distance between its parallel sides is 9 cm. If one of the parallel sides is of length 22 cm, find the length of the other side.

A. 2.5 cm

B. 10 cm

C. 3 cm

D. 5 cm

Circles

Sample Question

If ∠ADC = 110º and chord BC = chord BE. Find ∠CBE.

A. 135°

B. 140º

C. 150°

D. 130°

Constructions

Sample Question

The contruction of a triangle ^@ ABC ^@ in which ^@ AB = 14 \space cm ^@, ^@ \angle A = 30^\circ ^@ is possible when ^@ BC - AC ^@ is equal to:

A. ^@ 14.5 \space cm ^@

B. ^@ 15 \space cm ^@

C. ^@ 12.5 \space cm ^@

D. ^@ 15.5 \space cm ^@

Herons Formula

Sample Question

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. If the lengths of the perpendiculars are a, b and c, find the area of the triangle.

A.

B.

C.

D.

Surface Area and Volume

Sample Question

A sphere is just enclosed inside a right circular cylinder. If volume of the sphere is 360 cm³, find volume of the cylinder

A. 1080 cm³

B. 270 cm³

C. 540 cm³

D. 630 cm³

Statistics

Sample Question

In a class of 16 students, the average marks in a test was 63. If Yeeun got 62 marks and Jiwoo got 36 marks, what were the average of the other 14 students?

A. 65

B. 64

C. 60

D. 67

Probability

Sample Question

Two dice are rolled. What is the probability that the two numbers add up to a prime number?

A.
7
36

B.
20
36

C.
12
36

D.
15
36

Logical Reasoning

Sample Question

If f(x) = x + 8, g(x) = 5x and h(x) = 12/x, find the value of f^-1(g(h(6))).

A. 0

B. 10

C. 18

D. 2

Full Year 9th Grade Review

Sample Question

The number of boys in a class is four times the number of girls. Which one of the following numbers cannot represent the total number of children in the class?

A. 65

B. 33

C. 20

D. 50