Page 1 Page 1 of 4 MATHEMATICS CLASS 8 Instructions: 1. This paper consists of four sections. 2. Section A has 15 Multiple Choice Questions and each carries 1 mark. 3. Section B has 11 questions, each question carries 2 marks. 4. Section C has 11 questions, each question carries 3 marks. 5. Section D has 5 questions, each question carries 4 marks. 6. Use of calculators in not permitted. SECTION – A ( Multiple choice questions i to xv carry 1 mark each) I. Each question has four options; write the correct option in the answer book. i. If C.P of 4 articles is the S.P of 5 articles, then in this transaction there is: a) a loss b) a gain c) no loss no gain d) none of these ii. When 12x + 10 y is subtracted from –13x + 7y we get a) 25x + 3y b) –25x – 3y c) –25x + 3y d) 25x – 3y iii. Euler’s Formula F + V = a) E + 2 b) E – 2 c) E × 2 d) 2 E iv. Area of trapezium of whose parallel sides are of lengths a cm and b cm with a distance d cm between them is given by a) (a + b) × d b) 2 1 (a + b) × d c) 2 (a + b) × d d) none of these v. a 0 + b 0 + c 0 + 3 = a) 0 b) 6 c) 1 d) 3 vi. If n is an odd positive integer, then (–1) n = a) 1 b) 0 c) –1 d) none of these vii. If 8 books cost Rs 60, then 6 books will cost a) Rs 42 b) Rs 45 c) Rs 50 d) Rs 56 viii. If 10 men can reap a field in 10 days, then 20 men will reap the same field in a) 5 days b) 10 days c) 15 days d) 20 days Page 2 Page 1 of 4 MATHEMATICS CLASS 8 Instructions: 1. This paper consists of four sections. 2. Section A has 15 Multiple Choice Questions and each carries 1 mark. 3. Section B has 11 questions, each question carries 2 marks. 4. Section C has 11 questions, each question carries 3 marks. 5. Section D has 5 questions, each question carries 4 marks. 6. Use of calculators in not permitted. SECTION – A ( Multiple choice questions i to xv carry 1 mark each) I. Each question has four options; write the correct option in the answer book. i. If C.P of 4 articles is the S.P of 5 articles, then in this transaction there is: a) a loss b) a gain c) no loss no gain d) none of these ii. When 12x + 10 y is subtracted from –13x + 7y we get a) 25x + 3y b) –25x – 3y c) –25x + 3y d) 25x – 3y iii. Euler’s Formula F + V = a) E + 2 b) E – 2 c) E × 2 d) 2 E iv. Area of trapezium of whose parallel sides are of lengths a cm and b cm with a distance d cm between them is given by a) (a + b) × d b) 2 1 (a + b) × d c) 2 (a + b) × d d) none of these v. a 0 + b 0 + c 0 + 3 = a) 0 b) 6 c) 1 d) 3 vi. If n is an odd positive integer, then (–1) n = a) 1 b) 0 c) –1 d) none of these vii. If 8 books cost Rs 60, then 6 books will cost a) Rs 42 b) Rs 45 c) Rs 50 d) Rs 56 viii. If 10 men can reap a field in 10 days, then 20 men will reap the same field in a) 5 days b) 10 days c) 15 days d) 20 days Total number of printed pages: 4 Page 2 of 4 ix. The value of 81xy ÷ 3xy is a) 3xy b) 27xy c) 3 d) 27 x. The x – coordinate of a point which lies on the y – axis is a) 1 b) 0 c) –1 d) none of these xi. The product of the coefficients of x in –5 xyz and 2xy is a) –10x b) –10y 2 z c) –10x 2 y 2 z d) –10z xii. The number of faces a square prism has a) 4 b) 8 c) 6 d) 12 xiii. The volume of cube whose side is 20 x is a) 80x b) 800x 2 c) 8000x 3 d) 800x 3 xiv. The value of (2x + 5) (2x – 5) when x = 4 is a) 16 b) 39 c) 13 d) 5 xv. 1 litre = _________ cm 3 a) 1000 b) 100 c) 10000 d) 10 SECTION –B (Questions 2 to 12 carry 2 marks each) 2. After selling a sweater for Rs. 600 Kavita suffered a loss of 20 %. Find the cost price of the sweater. 3. Sudhir saves 15% of his income. If he saves Rs.330 per month, find his income. 4. Simplify: ab – bc + bc – ca + ca – ab. 5. Find the area of rectangle whose length is xy, breadth is 3y. 6. If a polyhedron has six faces and eight vertices, find the number of edges. 7. The surface area of a cube is 600 cm 2 . Find its volume. 8. Express in standard form: a) 432000000 b) 0.00000058 9. Complete the table below by finding the values of a, b where x and y are in direct proportion. x 60 72 b y 300 a 150 Page 3 Page 1 of 4 MATHEMATICS CLASS 8 Instructions: 1. This paper consists of four sections. 2. Section A has 15 Multiple Choice Questions and each carries 1 mark. 3. Section B has 11 questions, each question carries 2 marks. 4. Section C has 11 questions, each question carries 3 marks. 5. Section D has 5 questions, each question carries 4 marks. 6. Use of calculators in not permitted. SECTION – A ( Multiple choice questions i to xv carry 1 mark each) I. Each question has four options; write the correct option in the answer book. i. If C.P of 4 articles is the S.P of 5 articles, then in this transaction there is: a) a loss b) a gain c) no loss no gain d) none of these ii. When 12x + 10 y is subtracted from –13x + 7y we get a) 25x + 3y b) –25x – 3y c) –25x + 3y d) 25x – 3y iii. Euler’s Formula F + V = a) E + 2 b) E – 2 c) E × 2 d) 2 E iv. Area of trapezium of whose parallel sides are of lengths a cm and b cm with a distance d cm between them is given by a) (a + b) × d b) 2 1 (a + b) × d c) 2 (a + b) × d d) none of these v. a 0 + b 0 + c 0 + 3 = a) 0 b) 6 c) 1 d) 3 vi. If n is an odd positive integer, then (–1) n = a) 1 b) 0 c) –1 d) none of these vii. If 8 books cost Rs 60, then 6 books will cost a) Rs 42 b) Rs 45 c) Rs 50 d) Rs 56 viii. If 10 men can reap a field in 10 days, then 20 men will reap the same field in a) 5 days b) 10 days c) 15 days d) 20 days Total number of printed pages: 4 Page 2 of 4 ix. The value of 81xy ÷ 3xy is a) 3xy b) 27xy c) 3 d) 27 x. The x – coordinate of a point which lies on the y – axis is a) 1 b) 0 c) –1 d) none of these xi. The product of the coefficients of x in –5 xyz and 2xy is a) –10x b) –10y 2 z c) –10x 2 y 2 z d) –10z xii. The number of faces a square prism has a) 4 b) 8 c) 6 d) 12 xiii. The volume of cube whose side is 20 x is a) 80x b) 800x 2 c) 8000x 3 d) 800x 3 xiv. The value of (2x + 5) (2x – 5) when x = 4 is a) 16 b) 39 c) 13 d) 5 xv. 1 litre = _________ cm 3 a) 1000 b) 100 c) 10000 d) 10 SECTION –B (Questions 2 to 12 carry 2 marks each) 2. After selling a sweater for Rs. 600 Kavita suffered a loss of 20 %. Find the cost price of the sweater. 3. Sudhir saves 15% of his income. If he saves Rs.330 per month, find his income. 4. Simplify: ab – bc + bc – ca + ca – ab. 5. Find the area of rectangle whose length is xy, breadth is 3y. 6. If a polyhedron has six faces and eight vertices, find the number of edges. 7. The surface area of a cube is 600 cm 2 . Find its volume. 8. Express in standard form: a) 432000000 b) 0.00000058 9. Complete the table below by finding the values of a, b where x and y are in direct proportion. x 60 72 b y 300 a 150 Total number of printed pages: 4 Page 3 of 4 10. Factorize: 2xy + 3 + 2y + 3x. 11. Write the abscissa of the following points. (7, 5), (–2, –4), (–1, 0), (0, 7) 12. State whether true or false. a) A point whose xcoordinate is zero and ycoordinate is nonzero will lie on the yaxis. b) A point whose ycoordinate is zero and xcoordinate is 5 will lie on yaxis. c) The coordinates of the origin are (0,0). d) A line graph which is a whole unbroken line is called a linear graph. SECTION C (Questions 13 to 23 carry 2 marks each) 13. Rahul purchased a computer set for Rs.16800. He had to spend Rs.1200 on its repairs and sold it for Rs.19200. Find his gain and gain percent. 14. Find the squares of 97 and 34 using identities. 15. Find the product of (5x + 9y) and (6x + 3y). 16. How many faces does each of the following solid figures have? a) Cone b) Regular Octahedron c) Square Prism 17. The ratio of lengths of parallel sides of a trapezium is 5:3 and the distance between them is 16 cm. If the area of the trapezium is 960 cm 2 , find the lengths of parallel sides. 18. Simplify : 32 27 4 3 2 × ? ? ? ? ? ?  . 19. 12 men can do a piece of work in 72 days. How many men will be required to do the same work in 54 days? 20. Divide 2x 2 + 11x + 5 by 2x + 1. 21. Factorize: x 4 – 1. 22. Plot the following points on a graph paper A (7, –1) B(–5, –9) C(8, 3) D (0, 6) E (–6, –3) F(–5, 0) 23. A train is moving at a uniform speed of 75 km/hour. i) How far will it travel in 20 minutes? ii) Find the time taken to cover a distance of 250 km. Page 4 Page 1 of 4 MATHEMATICS CLASS 8 Instructions: 1. This paper consists of four sections. 2. Section A has 15 Multiple Choice Questions and each carries 1 mark. 3. Section B has 11 questions, each question carries 2 marks. 4. Section C has 11 questions, each question carries 3 marks. 5. Section D has 5 questions, each question carries 4 marks. 6. Use of calculators in not permitted. SECTION – A ( Multiple choice questions i to xv carry 1 mark each) I. Each question has four options; write the correct option in the answer book. i. If C.P of 4 articles is the S.P of 5 articles, then in this transaction there is: a) a loss b) a gain c) no loss no gain d) none of these ii. When 12x + 10 y is subtracted from –13x + 7y we get a) 25x + 3y b) –25x – 3y c) –25x + 3y d) 25x – 3y iii. Euler’s Formula F + V = a) E + 2 b) E – 2 c) E × 2 d) 2 E iv. Area of trapezium of whose parallel sides are of lengths a cm and b cm with a distance d cm between them is given by a) (a + b) × d b) 2 1 (a + b) × d c) 2 (a + b) × d d) none of these v. a 0 + b 0 + c 0 + 3 = a) 0 b) 6 c) 1 d) 3 vi. If n is an odd positive integer, then (–1) n = a) 1 b) 0 c) –1 d) none of these vii. If 8 books cost Rs 60, then 6 books will cost a) Rs 42 b) Rs 45 c) Rs 50 d) Rs 56 viii. If 10 men can reap a field in 10 days, then 20 men will reap the same field in a) 5 days b) 10 days c) 15 days d) 20 days Total number of printed pages: 4 Page 2 of 4 ix. The value of 81xy ÷ 3xy is a) 3xy b) 27xy c) 3 d) 27 x. The x – coordinate of a point which lies on the y – axis is a) 1 b) 0 c) –1 d) none of these xi. The product of the coefficients of x in –5 xyz and 2xy is a) –10x b) –10y 2 z c) –10x 2 y 2 z d) –10z xii. The number of faces a square prism has a) 4 b) 8 c) 6 d) 12 xiii. The volume of cube whose side is 20 x is a) 80x b) 800x 2 c) 8000x 3 d) 800x 3 xiv. The value of (2x + 5) (2x – 5) when x = 4 is a) 16 b) 39 c) 13 d) 5 xv. 1 litre = _________ cm 3 a) 1000 b) 100 c) 10000 d) 10 SECTION –B (Questions 2 to 12 carry 2 marks each) 2. After selling a sweater for Rs. 600 Kavita suffered a loss of 20 %. Find the cost price of the sweater. 3. Sudhir saves 15% of his income. If he saves Rs.330 per month, find his income. 4. Simplify: ab – bc + bc – ca + ca – ab. 5. Find the area of rectangle whose length is xy, breadth is 3y. 6. If a polyhedron has six faces and eight vertices, find the number of edges. 7. The surface area of a cube is 600 cm 2 . Find its volume. 8. Express in standard form: a) 432000000 b) 0.00000058 9. Complete the table below by finding the values of a, b where x and y are in direct proportion. x 60 72 b y 300 a 150 Total number of printed pages: 4 Page 3 of 4 10. Factorize: 2xy + 3 + 2y + 3x. 11. Write the abscissa of the following points. (7, 5), (–2, –4), (–1, 0), (0, 7) 12. State whether true or false. a) A point whose xcoordinate is zero and ycoordinate is nonzero will lie on the yaxis. b) A point whose ycoordinate is zero and xcoordinate is 5 will lie on yaxis. c) The coordinates of the origin are (0,0). d) A line graph which is a whole unbroken line is called a linear graph. SECTION C (Questions 13 to 23 carry 2 marks each) 13. Rahul purchased a computer set for Rs.16800. He had to spend Rs.1200 on its repairs and sold it for Rs.19200. Find his gain and gain percent. 14. Find the squares of 97 and 34 using identities. 15. Find the product of (5x + 9y) and (6x + 3y). 16. How many faces does each of the following solid figures have? a) Cone b) Regular Octahedron c) Square Prism 17. The ratio of lengths of parallel sides of a trapezium is 5:3 and the distance between them is 16 cm. If the area of the trapezium is 960 cm 2 , find the lengths of parallel sides. 18. Simplify : 32 27 4 3 2 × ? ? ? ? ? ?  . 19. 12 men can do a piece of work in 72 days. How many men will be required to do the same work in 54 days? 20. Divide 2x 2 + 11x + 5 by 2x + 1. 21. Factorize: x 4 – 1. 22. Plot the following points on a graph paper A (7, –1) B(–5, –9) C(8, 3) D (0, 6) E (–6, –3) F(–5, 0) 23. A train is moving at a uniform speed of 75 km/hour. i) How far will it travel in 20 minutes? ii) Find the time taken to cover a distance of 250 km. Total number of printed pages: 4 Page 4 of 4 SECTION  D (Questions 24 to 28 carry 4 marks each) 24. How many bricks will be required to build a wall 8m long, 6m high and 22.5 cm thick, if each brick measures 25cm by 11.25cm by 6 cm? 25. If ( 3 2x +1 + 9 ) ÷ 9 = 10, find the value of x. 26. A man can buy 24 kg of sugar for Rs 264. After six months he could buy only 22 kg of sugar with the same amount. What is the increase in the price of sugar? 27. Draw the graph for the following. Side of square (in cm) 2 3 4 5 6 Area ( in cm 2 ) 4 9 16 25 36 28. Divide 12xy ( 9x 2 –16y 2 ) by 4xy ( 3x + 4y) ********Read More
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