Page 1 CBSE VIII | Mathematics Sample Paper 2 - Solution CBSE Board Class VIII Mathematics Term II Sample Paper 2 – Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: D (t 2 + 3) (t + 3 ) (t - 3 ) = (t 2 + 3) [t 2 - ( 3 ) 2 ] = (t 2 + 3) (t 2 - 3) = (t 2 ) 2 - (3) 2 = t 4 – 9 [(x - y) (x + y) = x 2 - y 2 ] 2. Correct answer: C The given shape has 6 vertices. 3. Correct answer: C 4. Correct answer: D Let one number be x and the other number be (80 – x). From the given information, we have x3 80 x 5 5x 240 3x 5x 3x 240 8x 240 240 x 30 8 ? ? ? ? ? ? ? ? ?? ? ? ? Thus, the two numbers are 30 and (80 – 30) = 50. Hence, the greatest number amongst the two is 50. Page 2 CBSE VIII | Mathematics Sample Paper 2 - Solution CBSE Board Class VIII Mathematics Term II Sample Paper 2 – Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: D (t 2 + 3) (t + 3 ) (t - 3 ) = (t 2 + 3) [t 2 - ( 3 ) 2 ] = (t 2 + 3) (t 2 - 3) = (t 2 ) 2 - (3) 2 = t 4 – 9 [(x - y) (x + y) = x 2 - y 2 ] 2. Correct answer: C The given shape has 6 vertices. 3. Correct answer: C 4. Correct answer: D Let one number be x and the other number be (80 – x). From the given information, we have x3 80 x 5 5x 240 3x 5x 3x 240 8x 240 240 x 30 8 ? ? ? ? ? ? ? ? ?? ? ? ? Thus, the two numbers are 30 and (80 – 30) = 50. Hence, the greatest number amongst the two is 50. CBSE VIII | Mathematics Sample Paper 2 - Solution 5. Correct answer: A 6. Correct answer: D Here, 6 × a = 3 × 4 Therefore, a = 2. 7. Correct answer: B A straight line 8. Correct answer : D A rational number is a number of the form p q where q ? 0. So in case of reciprocal of 0, denominator will be 0. 9. Correct answer: C Cuboid is a polyhedron because its faces are congruent and regular polygons. Also, its vertices are formed by same number of faces. Page 3 CBSE VIII | Mathematics Sample Paper 2 - Solution CBSE Board Class VIII Mathematics Term II Sample Paper 2 – Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: D (t 2 + 3) (t + 3 ) (t - 3 ) = (t 2 + 3) [t 2 - ( 3 ) 2 ] = (t 2 + 3) (t 2 - 3) = (t 2 ) 2 - (3) 2 = t 4 – 9 [(x - y) (x + y) = x 2 - y 2 ] 2. Correct answer: C The given shape has 6 vertices. 3. Correct answer: C 4. Correct answer: D Let one number be x and the other number be (80 – x). From the given information, we have x3 80 x 5 5x 240 3x 5x 3x 240 8x 240 240 x 30 8 ? ? ? ? ? ? ? ? ?? ? ? ? Thus, the two numbers are 30 and (80 – 30) = 50. Hence, the greatest number amongst the two is 50. CBSE VIII | Mathematics Sample Paper 2 - Solution 5. Correct answer: A 6. Correct answer: D Here, 6 × a = 3 × 4 Therefore, a = 2. 7. Correct answer: B A straight line 8. Correct answer : D A rational number is a number of the form p q where q ? 0. So in case of reciprocal of 0, denominator will be 0. 9. Correct answer: C Cuboid is a polyhedron because its faces are congruent and regular polygons. Also, its vertices are formed by same number of faces. CBSE VIII | Mathematics Sample Paper 2 - Solution 10. Correct answer: A 1 3 = 1 Thus, the natural number 1 is equal to its cube. 11. Correct answer: D Sales tax = 4 380 15.20 100 ?? 12. Correct answer: C On cross-multiplying, we get 4x + 28 = 3x - 3 4x - 3x = -3 - 28 x = -31 x + 31 = 0 Section B 13. 14. 82 2 = (80 + 2) 2 In the property (a + b) 2 = a 2 + b 2 + 2ab, putting a = 80 and b = 2, we get (80 + 2) 2 = 80 2 + 2 2 + 2 × 80 × 2 = 6400 + 4 + 320 = 6724 15. (i) 100 × 7 + 10 × 9 + 1 × 8 = 700 + 90 + 8 = 798 (ii) 1000 × 3 + 100 × 1 + 10 × 5 + 1 × 9 = 3000 + 100 + 50 + 9 = 3159 Page 4 CBSE VIII | Mathematics Sample Paper 2 - Solution CBSE Board Class VIII Mathematics Term II Sample Paper 2 – Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: D (t 2 + 3) (t + 3 ) (t - 3 ) = (t 2 + 3) [t 2 - ( 3 ) 2 ] = (t 2 + 3) (t 2 - 3) = (t 2 ) 2 - (3) 2 = t 4 – 9 [(x - y) (x + y) = x 2 - y 2 ] 2. Correct answer: C The given shape has 6 vertices. 3. Correct answer: C 4. Correct answer: D Let one number be x and the other number be (80 – x). From the given information, we have x3 80 x 5 5x 240 3x 5x 3x 240 8x 240 240 x 30 8 ? ? ? ? ? ? ? ? ?? ? ? ? Thus, the two numbers are 30 and (80 – 30) = 50. Hence, the greatest number amongst the two is 50. CBSE VIII | Mathematics Sample Paper 2 - Solution 5. Correct answer: A 6. Correct answer: D Here, 6 × a = 3 × 4 Therefore, a = 2. 7. Correct answer: B A straight line 8. Correct answer : D A rational number is a number of the form p q where q ? 0. So in case of reciprocal of 0, denominator will be 0. 9. Correct answer: C Cuboid is a polyhedron because its faces are congruent and regular polygons. Also, its vertices are formed by same number of faces. CBSE VIII | Mathematics Sample Paper 2 - Solution 10. Correct answer: A 1 3 = 1 Thus, the natural number 1 is equal to its cube. 11. Correct answer: D Sales tax = 4 380 15.20 100 ?? 12. Correct answer: C On cross-multiplying, we get 4x + 28 = 3x - 3 4x - 3x = -3 - 28 x = -31 x + 31 = 0 Section B 13. 14. 82 2 = (80 + 2) 2 In the property (a + b) 2 = a 2 + b 2 + 2ab, putting a = 80 and b = 2, we get (80 + 2) 2 = 80 2 + 2 2 + 2 × 80 × 2 = 6400 + 4 + 320 = 6724 15. (i) 100 × 7 + 10 × 9 + 1 × 8 = 700 + 90 + 8 = 798 (ii) 1000 × 3 + 100 × 1 + 10 × 5 + 1 × 9 = 3000 + 100 + 50 + 9 = 3159 CBSE VIII | Mathematics Sample Paper 2 - Solution 16. Hence, the area of 4 walls is 125 m 2 . 17. By regrouping of terms, we have Taking out common factor from underlined terms, we get Again, taking out the underlined common factor, we have 18. Let the required number be x. Then, 26% of x = 65 26 x 65 100 100 x 65 26 x 250 ?? ?? ? ? ? ?? ?? ?? Hence, the required number is 250. 19. Consider: At one's place, A + 3 = _1 So think of a number which when added to 3 gives one's place as 1. Such a number is 8 as 8 + 3 = 11 Taking, A = 8, we obtain the addition as below: Page 5 CBSE VIII | Mathematics Sample Paper 2 - Solution CBSE Board Class VIII Mathematics Term II Sample Paper 2 – Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: D (t 2 + 3) (t + 3 ) (t - 3 ) = (t 2 + 3) [t 2 - ( 3 ) 2 ] = (t 2 + 3) (t 2 - 3) = (t 2 ) 2 - (3) 2 = t 4 – 9 [(x - y) (x + y) = x 2 - y 2 ] 2. Correct answer: C The given shape has 6 vertices. 3. Correct answer: C 4. Correct answer: D Let one number be x and the other number be (80 – x). From the given information, we have x3 80 x 5 5x 240 3x 5x 3x 240 8x 240 240 x 30 8 ? ? ? ? ? ? ? ? ?? ? ? ? Thus, the two numbers are 30 and (80 – 30) = 50. Hence, the greatest number amongst the two is 50. CBSE VIII | Mathematics Sample Paper 2 - Solution 5. Correct answer: A 6. Correct answer: D Here, 6 × a = 3 × 4 Therefore, a = 2. 7. Correct answer: B A straight line 8. Correct answer : D A rational number is a number of the form p q where q ? 0. So in case of reciprocal of 0, denominator will be 0. 9. Correct answer: C Cuboid is a polyhedron because its faces are congruent and regular polygons. Also, its vertices are formed by same number of faces. CBSE VIII | Mathematics Sample Paper 2 - Solution 10. Correct answer: A 1 3 = 1 Thus, the natural number 1 is equal to its cube. 11. Correct answer: D Sales tax = 4 380 15.20 100 ?? 12. Correct answer: C On cross-multiplying, we get 4x + 28 = 3x - 3 4x - 3x = -3 - 28 x = -31 x + 31 = 0 Section B 13. 14. 82 2 = (80 + 2) 2 In the property (a + b) 2 = a 2 + b 2 + 2ab, putting a = 80 and b = 2, we get (80 + 2) 2 = 80 2 + 2 2 + 2 × 80 × 2 = 6400 + 4 + 320 = 6724 15. (i) 100 × 7 + 10 × 9 + 1 × 8 = 700 + 90 + 8 = 798 (ii) 1000 × 3 + 100 × 1 + 10 × 5 + 1 × 9 = 3000 + 100 + 50 + 9 = 3159 CBSE VIII | Mathematics Sample Paper 2 - Solution 16. Hence, the area of 4 walls is 125 m 2 . 17. By regrouping of terms, we have Taking out common factor from underlined terms, we get Again, taking out the underlined common factor, we have 18. Let the required number be x. Then, 26% of x = 65 26 x 65 100 100 x 65 26 x 250 ?? ?? ? ? ? ?? ?? ?? Hence, the required number is 250. 19. Consider: At one's place, A + 3 = _1 So think of a number which when added to 3 gives one's place as 1. Such a number is 8 as 8 + 3 = 11 Taking, A = 8, we obtain the addition as below: CBSE VIII | Mathematics Sample Paper 2 - Solution 20. (i) (ii) 21. A number is divisible by 4 if the number formed by its last two digits is divisible by 4. (i) Consider 45748 Number formed by last two digits is 48. Since, 48 is divisible by 4. Hence, 45748 is also divisible by 4. (ii) Consider 21404 Number formed by last two digits is 04. Since, 04 is divisible by 4. Hence, 21404 is also divisible by 4. 22. Here, F = 10, E = 20 and V = 15 We have F + V - E = 10 + 15 - 20 = 25 - 20 = 5 Hence, F + V - E 2 Thus, such a polyhedron is not possible. 23. Distance = 1,433,500,000,000 m = 14335 × 100000000 m = 14335 × 10 8 m = 1.4335 × 10 12 mRead More

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