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Section A

Objective (1 mark each)

10 × 1 mk

A1

Two dice thrown,

P

(sum

= 8

).

From: Probability · 1 mark

A2

The 7th term of an AP is 34 and 13th is 64. Find the AP.

From: Arithmetic Progressions · 1 mark

A3

Draw tangents from a point

6

cm from centre of circle of radius

3

.

From: Circles · 1 mark

A4

Which term of the AP

3, 8, 13, \ldots

is

78

?

From: Arithmetic Progressions · 1 mark

A5

Sum of squares of two consecutive odd positive integers

= 290

. Find them.

From: Quadratic Equations · 1 mark

A6

Find the zeroes of

x^2 - 2x - 8

.

From: Polynomials · 1 mark

A7

Sum of first

n

terms is

3n^2 + 5n

. Find

n^{th}

term.

From: Arithmetic Progressions · 1 mark

A8

Solve

2x + 3y = 11,\; 2x - 4y = -24

.

From: Pair of Linear Equations in Two Variables · 1 mark

A9

a_n

of AP

10, 7, 4, \ldots

when

n = 15

.

From: Arithmetic Progressions · 1 mark

A10

Modal age from data

10, 12, 15, 12, 18, 12, 20

.

From: Statistics · 1 mark

Section B

Very short answer (2 marks each)

6 × 2 mk

B1

A quadrilateral

ABCD

is drawn to circumscribe a circle. Prove

AB + CD = AD + BC

.

From: Circles · 2 marks

B2

Sum of first

50

natural numbers.

From: Arithmetic Progressions · 2 marks

B3

Pole

15

m, sun

45^\circ

: shadow length.

From: Some Applications of Trigonometry · 2 marks

B4

Wheel makes

200

revolutions to cover

88

m. Diameter?

From: Areas Related to Circles · 2 marks

B5

If

2

is a zero of

x^3 - 3x^2 + kx - 8

, find

k

.

From: Polynomials · 2 marks

B6

20

m tower, elevation

45^\circ

: distance from base.

From: Some Applications of Trigonometry · 2 marks

Section C

Short answer (3 marks each)

8 × 3 mk

C1

TSA of a cube with edge

5

.

From: Surface Areas and Volumes · 3 marks

C2

One card from deck:

P

(black king).

From: Probability · 3 marks

C3

Similar triangles side ratio

2:3

. Area ratio?

From: Triangles · 3 marks

C4

Find the HCF and LCM of

12, 15

and

21

.

From: Real Numbers · 3 marks

C5

Volume of cone

r = 6, h = 8

.

From: Surface Areas and Volumes · 3 marks

C6

Solve

3x - 5y = -1,\; x - y = -1

by substitution.

From: Pair of Linear Equations in Two Variables · 3 marks

C7

Sphere of radius

6

melted into cones of

r=3, h=4

: number?

From: Surface Areas and Volumes · 3 marks

C8

Two similar triangles have perimeters

30

cm and

20

cm. If one side of first is

12

cm, find the corresponding side of the second.

From: Triangles · 3 marks

Section D

Long answer (5 marks each)

6 × 5 mk

D1

\dfrac{2}{x} + \dfrac{3}{y} = 13,\; \dfrac{5}{x} - \dfrac{4}{y} = -2

.

From: Pair of Linear Equations in Two Variables · 5 marks

D2

Explain why

7\cdot 11\cdot 13 + 13

is composite.

From: Real Numbers · 5 marks

D3

Distance between

(1, 2)

and

(4, 6)

.

From: Coordinate Geometry · 5 marks

D4

State BPT converse.

From: Triangles · 5 marks

D5

Roots of

2x^2 + x - 4 = 0

by quadratic formula.

From: Quadratic Equations · 5 marks

D6

Pen cost

p

, book

b

:

5p + 6b = 250,\; 6p + 5b = 240

. Find

p, b

.

From: Pair of Linear Equations in Two Variables · 5 marks

Class-wide Mock Paper