CBSE · Class 6-10

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Full Mock · Class 9 · Attempt 1

Class-wide Mock Paper

30 questions · 76 marks · 180 minutes

00:01

Section A

Objective (1 mark each)

10 × 1 mk

A1

State midpoint theorem.

From: Quadrilaterals · 1 mark

A2

Sum of interior angles of a quadrilateral.

From: Quadrilaterals · 1 mark

A3

Find

k

if

(2, -3)

satisfies

3x + ky = 3

.

From: Linear Equations in Two Variables · 1 mark

A4

Sides

7, 24, 25

: area.

From: Heron's Formula · 1 mark

A5

Find a solution of

x - 2y = 4

.

From: Linear Equations in Two Variables · 1 mark

A6

Every square is a parallelogram — T/F?

From: Quadrilaterals · 1 mark

A7

Angle in semicircle?

From: Circles · 1 mark

A8

Simplify

2^{1/3}\cdot 2^{1/4}

.

From: Number Systems · 1 mark

A9

Diagonals of a rhombus bisect at what angle?

From: Quadrilaterals · 1 mark

A10

Isosceles

10, 10, 12

: area.

From: Heron's Formula · 1 mark

Section B

Very short answer (2 marks each)

6 × 2 mk

B1

Verify Heron's formula for

6, 8, 10

.

From: Heron's Formula · 2 marks

B2

Number of points to determine a line.

From: Introduction to Euclid's Geometry · 2 marks

B3

Each angle of an equilateral triangle?

From: Triangles · 2 marks

B4

State Euclid's fifth postulate.

From: Introduction to Euclid's Geometry · 2 marks

B5

Prove: perpendicular from centre bisects chord.

From: Circles · 2 marks

B6

Rationalise

\dfrac{1}{\sqrt 7 - \sqrt 6}

.

From: Number Systems · 2 marks

Section C

Short answer (3 marks each)

8 × 3 mk

C1

Sides

9, 12, 15

: area.

From: Heron's Formula · 3 marks

C2

Median of

6, 8, 10, 12, 14, 16

.

From: Statistics · 3 marks

C3

Distance between

(1, 2)

and

(4, 6)

.

From: Coordinate Geometry · 3 marks

C4

Every rectangle is a

\ldots

?

From: Quadrilaterals · 3 marks

C5

Chord of length

10

cm in circle

r = 13

. Distance from centre.

From: Circles · 3 marks

C6

Evaluate

(3^{2/3})^{3/2}

.

From: Number Systems · 3 marks

C7

Expand

(3x-2y)^3

.

From: Polynomials · 3 marks

C8

Area of a triangular park with sides

50, 65, 65

m.

From: Heron's Formula · 3 marks

Section D

Long answer (5 marks each)

6 × 5 mk

D1

Prove

\sqrt 2

is irrational.

From: Number Systems · 5 marks

D2

Both coordinates negative — which quadrant?

From: Coordinate Geometry · 5 marks

D3

Number of tangents from an outside point?

From: Circles · 5 marks

D4

Range of

12, 25, 18, 45, 30

.

From: Statistics · 5 marks

D5

Give an example of an axiom.

From: Introduction to Euclid's Geometry · 5 marks

D6

TSA of cube edge

5

.

From: Surface Areas and Volumes · 5 marks