Page 1 CBSE VIII | Mathematics Sample Paper 1 - Solution CBSE Board Class VIII Mathematics Term I Sample Paper 1 - Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: C 2.5 is greater than 2.4 and less than 2.6 and 2.7. Hence, on a number line, 2.5 will lie between 2.4 and 2.7. 2. Correct answer: B 3. Correct answer: A 5 4. Correct answer: C = 5 + 5 + 3 = 13 5. Correct answer: A 1 is a square as well as a triangular number. 6. Correct answer: B Cube root of (-8) x (-343) x (125) = (-2) x (-7) x 5 = 70 7. Correct answer: C 8. Correct answer: C On cross multiplying, we get 4x + 28 = 3x - 3 4x - 3x = - 3 - 28 x = -31 x + 31 = 0 Page 2 CBSE VIII | Mathematics Sample Paper 1 - Solution CBSE Board Class VIII Mathematics Term I Sample Paper 1 - Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: C 2.5 is greater than 2.4 and less than 2.6 and 2.7. Hence, on a number line, 2.5 will lie between 2.4 and 2.7. 2. Correct answer: B 3. Correct answer: A 5 4. Correct answer: C = 5 + 5 + 3 = 13 5. Correct answer: A 1 is a square as well as a triangular number. 6. Correct answer: B Cube root of (-8) x (-343) x (125) = (-2) x (-7) x 5 = 70 7. Correct answer: C 8. Correct answer: C On cross multiplying, we get 4x + 28 = 3x - 3 4x - 3x = - 3 - 28 x = -31 x + 31 = 0 CBSE VIII | Mathematics Sample Paper 1 - Solution 9. Correct answer: A In a rhombus, if one angle is 70 o , then its opposite angle will be 70 o . (Since, opposite angles of a rhombus are equal) 10. Correct answer: A o o o Value of component 1 360 360 90 Total va Central lue 4 angle ? ? ? ? ? 11. Correct answer: C Square root = 2 × 3 × 3 × 5 = 90 12. Correct answer: D Actual C.P. = C.P. + Overhead expenses = Rs. (900 + 200) = Rs. 1100 Profit = S.P. – C.P. = Rs. 1200 – Rs. 1100 = Rs. 100 100 1 Profit percent= 100 9 % 1100 11 ?? Section B 13. (by commutativity) (by distributivity) 14. Let x be the greater part. Then, 64 - x is the smaller part. Then 3x = 5(64 - x) 3x = 320 - 5x 3x + 5x = 320 8x = 320 x = 40 So, the two parts are 40 and 24. Page 3 CBSE VIII | Mathematics Sample Paper 1 - Solution CBSE Board Class VIII Mathematics Term I Sample Paper 1 - Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: C 2.5 is greater than 2.4 and less than 2.6 and 2.7. Hence, on a number line, 2.5 will lie between 2.4 and 2.7. 2. Correct answer: B 3. Correct answer: A 5 4. Correct answer: C = 5 + 5 + 3 = 13 5. Correct answer: A 1 is a square as well as a triangular number. 6. Correct answer: B Cube root of (-8) x (-343) x (125) = (-2) x (-7) x 5 = 70 7. Correct answer: C 8. Correct answer: C On cross multiplying, we get 4x + 28 = 3x - 3 4x - 3x = - 3 - 28 x = -31 x + 31 = 0 CBSE VIII | Mathematics Sample Paper 1 - Solution 9. Correct answer: A In a rhombus, if one angle is 70 o , then its opposite angle will be 70 o . (Since, opposite angles of a rhombus are equal) 10. Correct answer: A o o o Value of component 1 360 360 90 Total va Central lue 4 angle ? ? ? ? ? 11. Correct answer: C Square root = 2 × 3 × 3 × 5 = 90 12. Correct answer: D Actual C.P. = C.P. + Overhead expenses = Rs. (900 + 200) = Rs. 1100 Profit = S.P. – C.P. = Rs. 1200 – Rs. 1100 = Rs. 100 100 1 Profit percent= 100 9 % 1100 11 ?? Section B 13. (by commutativity) (by distributivity) 14. Let x be the greater part. Then, 64 - x is the smaller part. Then 3x = 5(64 - x) 3x = 320 - 5x 3x + 5x = 320 8x = 320 x = 40 So, the two parts are 40 and 24. CBSE VIII | Mathematics Sample Paper 1 - Solution 15. Opposite sides are equal in a parallelogram Therefore, 3y + 1 = 19 Or, 3y = 19 - 1 Or, 3y = 18 Or, y = 6 Also, 4x+3 = 23 Or, 4x = 23-3 Or, 4x = 20 Or, x = 5 Hence x = 5 and y = 6. 16. Let the number of chairs in each row be x. Then, the number of rows = x. Total number of chairs in the auditorium ? ? 2 x x x ? ? ? But the number of chairs that the auditorium can accommodate = 1764 (given) ? ? ?? ? ? ? ? ? ? ? ? ? ? ? 2 x 1764 2 2 3 3 7 7 x 2 3 7 42 Hence, the number of chairs in each row is 42. 17. Here, Total number of outcomes = 10 + 25 = 35 Let E be the event of getting a prize. Number of outcomes favourable to event E = 10 ? ? Number of favourable outcomes 10 2 Total number of outcome P E s7 35 ? ? ? 2 Probability of getting a prize 7 ? Page 4 CBSE VIII | Mathematics Sample Paper 1 - Solution CBSE Board Class VIII Mathematics Term I Sample Paper 1 - Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: C 2.5 is greater than 2.4 and less than 2.6 and 2.7. Hence, on a number line, 2.5 will lie between 2.4 and 2.7. 2. Correct answer: B 3. Correct answer: A 5 4. Correct answer: C = 5 + 5 + 3 = 13 5. Correct answer: A 1 is a square as well as a triangular number. 6. Correct answer: B Cube root of (-8) x (-343) x (125) = (-2) x (-7) x 5 = 70 7. Correct answer: C 8. Correct answer: C On cross multiplying, we get 4x + 28 = 3x - 3 4x - 3x = - 3 - 28 x = -31 x + 31 = 0 CBSE VIII | Mathematics Sample Paper 1 - Solution 9. Correct answer: A In a rhombus, if one angle is 70 o , then its opposite angle will be 70 o . (Since, opposite angles of a rhombus are equal) 10. Correct answer: A o o o Value of component 1 360 360 90 Total va Central lue 4 angle ? ? ? ? ? 11. Correct answer: C Square root = 2 × 3 × 3 × 5 = 90 12. Correct answer: D Actual C.P. = C.P. + Overhead expenses = Rs. (900 + 200) = Rs. 1100 Profit = S.P. – C.P. = Rs. 1200 – Rs. 1100 = Rs. 100 100 1 Profit percent= 100 9 % 1100 11 ?? Section B 13. (by commutativity) (by distributivity) 14. Let x be the greater part. Then, 64 - x is the smaller part. Then 3x = 5(64 - x) 3x = 320 - 5x 3x + 5x = 320 8x = 320 x = 40 So, the two parts are 40 and 24. CBSE VIII | Mathematics Sample Paper 1 - Solution 15. Opposite sides are equal in a parallelogram Therefore, 3y + 1 = 19 Or, 3y = 19 - 1 Or, 3y = 18 Or, y = 6 Also, 4x+3 = 23 Or, 4x = 23-3 Or, 4x = 20 Or, x = 5 Hence x = 5 and y = 6. 16. Let the number of chairs in each row be x. Then, the number of rows = x. Total number of chairs in the auditorium ? ? 2 x x x ? ? ? But the number of chairs that the auditorium can accommodate = 1764 (given) ? ? ?? ? ? ? ? ? ? ? ? ? ? ? 2 x 1764 2 2 3 3 7 7 x 2 3 7 42 Hence, the number of chairs in each row is 42. 17. Here, Total number of outcomes = 10 + 25 = 35 Let E be the event of getting a prize. Number of outcomes favourable to event E = 10 ? ? Number of favourable outcomes 10 2 Total number of outcome P E s7 35 ? ? ? 2 Probability of getting a prize 7 ? CBSE VIII | Mathematics Sample Paper 1 - Solution 18. Since ABCD is an isosceles trapezoidal, we have AD = BC Therefore, AD = BC = 4 cm. Now the perimeter of given trapezium = AB + BC + CD + DA = 12 + 4 + 8 + 4 = 28 Hence, the perimeter of the given trapezium is 28 cm. 19. Total number of votes = (1136 + 7636 + 11628) = 20400. 11628 Therefore, required percentage 100 % 57% 20400 ?? ? ? ? ?? ?? 20. Since, the measure of each angle of rectangle is 90 o . Therefore, ?ADC = y = 90 o Also, ?BAD = 90 o This gives, x + 45 o = 90 o x = 90 o - 45 o = 45 o Hence, x = 45 o and y = 90 o . 21. It can be observed that the squares of the given numbers can be found by first writing the counting number up to the number of 1's and then writing the reverse counting till 1. Thus, 1111 2 = 1234321 11111 2 = 123454321 22. By cross multiplication, we get, 3(3x-1) = 4(2x+5) 9x-3 = 8x +20 9x-8x-3 = 20 (transposing 8x to LHS) 9x-8x = 20+3 (transposing -3 to RHS) x = 23 23. Page 5 CBSE VIII | Mathematics Sample Paper 1 - Solution CBSE Board Class VIII Mathematics Term I Sample Paper 1 - Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: C 2.5 is greater than 2.4 and less than 2.6 and 2.7. Hence, on a number line, 2.5 will lie between 2.4 and 2.7. 2. Correct answer: B 3. Correct answer: A 5 4. Correct answer: C = 5 + 5 + 3 = 13 5. Correct answer: A 1 is a square as well as a triangular number. 6. Correct answer: B Cube root of (-8) x (-343) x (125) = (-2) x (-7) x 5 = 70 7. Correct answer: C 8. Correct answer: C On cross multiplying, we get 4x + 28 = 3x - 3 4x - 3x = - 3 - 28 x = -31 x + 31 = 0 CBSE VIII | Mathematics Sample Paper 1 - Solution 9. Correct answer: A In a rhombus, if one angle is 70 o , then its opposite angle will be 70 o . (Since, opposite angles of a rhombus are equal) 10. Correct answer: A o o o Value of component 1 360 360 90 Total va Central lue 4 angle ? ? ? ? ? 11. Correct answer: C Square root = 2 × 3 × 3 × 5 = 90 12. Correct answer: D Actual C.P. = C.P. + Overhead expenses = Rs. (900 + 200) = Rs. 1100 Profit = S.P. – C.P. = Rs. 1200 – Rs. 1100 = Rs. 100 100 1 Profit percent= 100 9 % 1100 11 ?? Section B 13. (by commutativity) (by distributivity) 14. Let x be the greater part. Then, 64 - x is the smaller part. Then 3x = 5(64 - x) 3x = 320 - 5x 3x + 5x = 320 8x = 320 x = 40 So, the two parts are 40 and 24. CBSE VIII | Mathematics Sample Paper 1 - Solution 15. Opposite sides are equal in a parallelogram Therefore, 3y + 1 = 19 Or, 3y = 19 - 1 Or, 3y = 18 Or, y = 6 Also, 4x+3 = 23 Or, 4x = 23-3 Or, 4x = 20 Or, x = 5 Hence x = 5 and y = 6. 16. Let the number of chairs in each row be x. Then, the number of rows = x. Total number of chairs in the auditorium ? ? 2 x x x ? ? ? But the number of chairs that the auditorium can accommodate = 1764 (given) ? ? ?? ? ? ? ? ? ? ? ? ? ? ? 2 x 1764 2 2 3 3 7 7 x 2 3 7 42 Hence, the number of chairs in each row is 42. 17. Here, Total number of outcomes = 10 + 25 = 35 Let E be the event of getting a prize. Number of outcomes favourable to event E = 10 ? ? Number of favourable outcomes 10 2 Total number of outcome P E s7 35 ? ? ? 2 Probability of getting a prize 7 ? CBSE VIII | Mathematics Sample Paper 1 - Solution 18. Since ABCD is an isosceles trapezoidal, we have AD = BC Therefore, AD = BC = 4 cm. Now the perimeter of given trapezium = AB + BC + CD + DA = 12 + 4 + 8 + 4 = 28 Hence, the perimeter of the given trapezium is 28 cm. 19. Total number of votes = (1136 + 7636 + 11628) = 20400. 11628 Therefore, required percentage 100 % 57% 20400 ?? ? ? ? ?? ?? 20. Since, the measure of each angle of rectangle is 90 o . Therefore, ?ADC = y = 90 o Also, ?BAD = 90 o This gives, x + 45 o = 90 o x = 90 o - 45 o = 45 o Hence, x = 45 o and y = 90 o . 21. It can be observed that the squares of the given numbers can be found by first writing the counting number up to the number of 1's and then writing the reverse counting till 1. Thus, 1111 2 = 1234321 11111 2 = 123454321 22. By cross multiplication, we get, 3(3x-1) = 4(2x+5) 9x-3 = 8x +20 9x-8x-3 = 20 (transposing 8x to LHS) 9x-8x = 20+3 (transposing -3 to RHS) x = 23 23. CBSE VIII | Mathematics Sample Paper 1 - Solution 24. Section C 25. Represent the months on the x-axis and the number of visitors on the y-axis. The double bar graph is as follows:Read More

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