St. Thomas’s Day School | Class 8 Unit 2 Examination | 28 Nov 2023

St. Thomas’s Day School

Class 8 | Unit 2 Examination

Multiple Choice Question

Question (i)

Which of the following is not a linear equation in one variable

1. 2\over5p² + 1 = 0
2. 3x + y = 0
3. 8b = 9 + b
4. 23a – 5 = 0

Question (ii)

If angle A and angle C are two opposite angles of a parallelogram then,

1. ∠A > ∠C
2. ∠A < ∠C
3. ∠A = ∠C
4. ∠A + ∠C = 180

Question (iii)

If x = -1, then the solution of 4(x⁴+4-2) is

1. -12
2. 16
3. -16
4. 12

Question (iv)

The algebraic expression 3a ÷ 5 – 6y

1. monomial
2. binomial
3. trinomial
4. none

Question (v)

Multiplication of x², (-x)and 1x will be equal to

1. x²
2. -x⁴
3. -x²
4. x⁴

Question (vi)

A tangent meets a circle at how many points

1. 1
2. 2
3. 3
4. 4

Question (vii)

When we factorise x² + 5x + 6 then we get

1. (x+2)(x+3)
2. (x-2)(x-3)
3. (x+2)(x-3)
4. (x-2)(x+3)

Question (viii)

What is the degree of the polynomial 4a²b² – 3ab⁴ + 5ab – 2

1. 2
2. 4
3. 5
4. 3

Question (ix)

A line meets a circle in almost how many points

1. 4
2. 1
3. 3
4. 2

Question (x)

A polynomial contains ____ number of terms

1. any
2. 3
3. 2
4. 1

Attempt any 4 questions

Question 2

(a) How much  more is the sum of 5y² + y – 3 and y² – 3y + 7 from 6y² – 3y + 7

(b) Construct a rhombus whose diagonals are 6.8 cm and 5.2 cm.

(c) From the adjoining figure find the value of PQ, when PO = 4 cm and OQ = 3 cm. Also, find the value of ∠PRO.

[3 + 3+ 4]

Question 3

(a) The adjoining figure shows an isosceles trapezium where ∠PSR=110°, Find all the remaining angles of the trapezium.

(b) Factorise 4a² + 12ab + 9b²

(c) Solve {x\over 3}+{1\over 4} < {x\over 6}+{1\over 2}, x ∈ W. Also represent the solution on a number line.

[3 + 3+ 4]

Question 4

(a) The area of a rectangular field is 6x² + 13x + 5 and its breadth is 2x+1. Find the length of the rectangle.

(b) Solve the inequality 2y + 1\over 3 ≤ 3 where y ∈ W.

(c) Construct a quadrilateral PQRS in which QR = 2.5cm, PQ = 3 cm, PS = 3.5 cm, PR = 4cm and QS = 5cm.

[3 + 3+ 4]

Question 5

(a) In the adjoining figure PQRS is a parallelogram in which the diagonals intersect at 0. ∠OSR = 35°and ∠0QR = 50°. Find the value of ∠RPS, ∠PRS and ∠PSR.

(b) lf the replacement set is {-3,-2,-1,0,1,2,3}, solve the inequality 3x-1\over 2< 2.

(c) Factorise the given expression and divide them as directed 12prq (6p² – 13pq + 6q²) ÷ 6pq (2p – 3q)

[3 + 3+ 4]

Question 6

(a) The figure shows a circle where a perpendicular from O touches AB at C, AC = 15c m and OC = 8cm. Calculate the value of the radius of the circle and the length of AB.

(b) Factorise the given expression 25-p².

(c) Construct a parallelogram ABCD such that AB = 5 cm, BC = 3.2 cm and ∠B = 120°

[3 + 3+ 4]

Question 7

(a) ABCD is a parallelogram in which AB = 5a + 6, BC = 28cm, CD = 36 cm and AD = 8b-4. Find the value of a and b.

(b) Find the length of a tangent drawn to a circle of radius 5 cm from a point at a distance of 13 cm from the centre.

(c) Solve using suitable identities:

(i) 102²

(ii) 103 × 97

[3 + 3+ 4]

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Original File