Max. Time 3 hrs

Subject: Mathematics Class: VIII

Max. Marks: 90

SET - B

Instructions:

1. Answer all the questions

However, an internal choice is given in each section except Section-A.

1. Section A: Questions 1 - 8 carry 1 mark each.
2. Section B: Questions 9 - 14 carry 2 marks each.
3. Section C: Questions 15 – 24 carry 3 marks each.
4. Section D:Questions 25-34 carry 4 marks each

SECTION - A

<math>(8x1 = 8marks)</math>

1. What could be the possible unit digit of the square root of 7744
2. 1 or 9 (b) 2 or 8 (c) 3 or 7 (d) 3 or 7

1. The rational number that does not have a reciprocal.
2. 0 (b) -1 (c) 1

3. The value of (-3)^-4 is (a) 81 (b) -81 (c) <math>\frac{1}{81}</math> (d) <math>\frac{-1}{81}</math>

1. If PQRS is a parallelogram then P - R is
2. <math>90^{\circ}</math> (b) <math>0^{\circ}</math> (c) 180° (d) <math>360^{\circ}</math>

1. The unit digit of the cube of the number 1128 is
2. 7 (b) 4 (c) 2 (d) 3

1. How many rational numbers are there between -1 and -2
2. 10 (b) 100

1. How many measurements can determine a quadrilateral uniquely
2. 4 (b) 5 (c) 8 (d) none

1. Volume of a cube with side 3m is
2. <math>9m^3</math> (b) <math>6m^3</math> (c) <math>8m^3</math> (d) <math>27m^3</math>

SECTION B

<math>(8 \times 2 = 16 \text{marks})</math>

1. Area of a square plot is 1089sqm. Find side of the square plot.

-1-

1. Find the value of 'x'

<math>5^{2x-3} \times 5^{-3} = 5^4</math>.

1. Represent <math>\frac{-7}{6}</math> and <math>\frac{5}{6}</math> on the number line.
2. Find the measure of each exterior angle and measure of each interior angle of a regular polygon having 6 sides.

OR Find the number of sides of a regular polygon, the sum of whose interior angles is 1440

1. (a) Express 0.00034 in standard form
2. Express 2.69x10⁵ in usual form.
3. Find the multiplicative inverse of <math>\frac{-2}{3} \times \frac{11}{7}</math>

SECTION-C

<math>(10x3=30marks)</math>

1. Two adjacent angles of a parallelogram are <math>(3x-4)^{\circ}</math> and <math>(3x+16)^{\circ}</math>. Find the value of 'x' and hence find the measure of each of its angles.
2. Raj made a cuboid of plasticine of 15cm, 30cm, 15cm. How many such cuboids will he need to form a cube?
3. Find the cube root of 15625 by Prime Factorization method.
4. Find the smallest square number which is divisible by each of the numbers 6, 9 & 15.
5. Construct a Rectangle whose adjacent sides are 4cm and 5.5cm.
6. A gardener has 1300 plants. He wants to plant them in such a way that the number of rows and the number of columns remain same .Find the minimum number of plants he needs more for this.

OR Find the greatest 4-digit number which is a perfect square.

- 2-