Page 1 (1/2) MATHEMATICS Class VIII General Instructions: • The question paper is divided into four sections. Section A comprises of 5 questions of 1 mark each. Section B comprises of 5 questions of 3 marks each. Section C comprises of 10 questions of 5 marks each. Section D comprises of 5 questions of 6 marks each. • Draw neat diagrams wherever needed. • All questions are compulsory to attempt. • Show all calculations in fair. SECTION – A Q.1 The additive inverse of 7 2  is ________. Q.2 If 7 17 7 3 = + x , then x = ________. Q.3 Solve 17 + 6p = 9. Q.4 How many diagonals does a regular hexagon have ? Q.5 Find the ratio of 5mm to 50m. SECTION – B Q.6 Simplify 15 (y – 4) + 2(y – 9) + 5 (y + 6) = 0. Q.7 HELP is a parallelogram (lengths are in cms) given that OE is 4 and HL is 5 more than PE, find OH. P L O 4 H E Q.8 State whether true or false. a) All parallelograms are trapeziums. b) All rectangles are squares. c) All kites are rhombuses. Q.9 Express 121 as the sum of 11 odd numbers. Q.10 Find the square root of 12.25 SECTION – C Q.11 Using appropriate properties, find : 6 1 5 3 2 5 5 3 3 2 ×  + ×  Q.12 Find five rational numbers between 2 3  and 3 5 . Page 2 (1/2) MATHEMATICS Class VIII General Instructions: • The question paper is divided into four sections. Section A comprises of 5 questions of 1 mark each. Section B comprises of 5 questions of 3 marks each. Section C comprises of 10 questions of 5 marks each. Section D comprises of 5 questions of 6 marks each. • Draw neat diagrams wherever needed. • All questions are compulsory to attempt. • Show all calculations in fair. SECTION – A Q.1 The additive inverse of 7 2  is ________. Q.2 If 7 17 7 3 = + x , then x = ________. Q.3 Solve 17 + 6p = 9. Q.4 How many diagonals does a regular hexagon have ? Q.5 Find the ratio of 5mm to 50m. SECTION – B Q.6 Simplify 15 (y – 4) + 2(y – 9) + 5 (y + 6) = 0. Q.7 HELP is a parallelogram (lengths are in cms) given that OE is 4 and HL is 5 more than PE, find OH. P L O 4 H E Q.8 State whether true or false. a) All parallelograms are trapeziums. b) All rectangles are squares. c) All kites are rhombuses. Q.9 Express 121 as the sum of 11 odd numbers. Q.10 Find the square root of 12.25 SECTION – C Q.11 Using appropriate properties, find : 6 1 5 3 2 5 5 3 3 2 ×  + ×  Q.12 Find five rational numbers between 2 3  and 3 5 . (2/2) Q.13 The perimeter of a rectangle is 13cm and its width is 2 4 3 cm. Find its length. Q.14 The digits of a two digit number differ by 3. If the digits are interchanged and the resulting number is added to the original number, we get 143. What can be the original number? Q.15 Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers. Q.16 Find the values of the unknowns in the following figures : Parallelogram Q.17 i) RENT is a rectangle. Its diagonals meet at O. Find x, if OR=2x+4 and OT=3x+1. ii) Find the number of sides of a regular polygon whose each exterior angle has a measure of 45 0 ? Q.18 Construct a rectangle WISE in which WI = 7cm , IS = 5cm. Q.19 Find the cube root of i) 8000 ii) 13824 Q.20 Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube. i) 100 ii) 675 SECTION – D Q.21 Find compound interest paid when a sum of Rs. 10,000 is invested for 1 year and 3 months at 8 2 1 % per annum compounded annually. Q.22 Construct a rhombus whose diagonals are 5.2 cm and 6.4 cm long. Write steps of construction. Q.23 Rajeev bought an article for Rs. 15,500. Rs. 450 was spent on its repairs. He sold the article to Raghav for a profit of 15%. Raghav gave Rs. 19,342.50 to Rajeev. Rajeev said “It is not the correct amount” and returned him the balance. Find the correct amount. What value is depicted by Rajeev? Q.24 i) Find the square root of 1024 by division method. ii) Find the least number which must be added to 252 to get a perfect square. Also find the square root of the perfect square so obtained. Q.25 Construct a quadrilateral PLAN in which PL=4cm, LA=6.5cm, ?P=90 0 , ?A=110 0 , ?N=85 0Read More
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