School |
: | St. Thomas’s Day School |

Class |
: | 8 (viii) |

Exam |
: | Unit 2 |

Subject |
: | Mathematics |

Date |
: | 28 Nov 2023 |

Time |
: | 1 hour |

Marks |
: | 50 |

**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

- 2\over5p
^{2}+ 1 = 0 - 3x + y = 0
- 8b = 9 + b
- 23a – 5 = 0

**Question (ii)**

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

- ∠A > ∠C
- ∠A < ∠C
- ∠A = ∠C
- ∠A + ∠C = 180

**Question (iii)**

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

- -12
- 16
- -16
- 12

**Question (iv)**

The algebraic expression 3a ÷ 5 – 6y

- monomial
- binomial
- trinomial
- none

**Question (v)**

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

- x
^{2} - -x⁴
- -x²
- x⁴

**Question (vi)**

A tangent meets a circle at how many points

- 1
- 2
- 3
- 4

**Question (vii)**

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

- (x+2)(x+3)
- (x-2)(x-3)
- (x+2)(x-3)
- (x-2)(x+3)

**Question (viii)**

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

- 2
- 4
- 5
- 3

**Question (ix)**

A line meets a circle in almost how many points

- 4
- 1
- 3
- 2

**Question (x)**

A polynomial contains ____ number of terms

- any
- 3
- 2
- 1

**Attempt any 4 questions**

**Question 2**

(a) How much more is the sum of 5y^{2} + y – 3 and y^{2} – 3y + 7 from 6y^{2} – 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 4a^{2} + 12ab + 9b^{2}

(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) 102^{2}

(ii) 103 × 97

**[3 + 3+ 4]**

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**Original File**