Page 1 CBSE VII | Mathematics Sample Paper 1 â€“ Solution CBSE Board Class VII Mathematics Term II Sample Paper 1 â€“ Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: B Discount = 40% on Rs 7000 = ?? 4 7000 Rs 2800 100 Therefore, SP = Rs (7000 - 2800) = Rs 4200. 2. Correct answer: A Since the numerators are equal, so the rational number with the least denominator is the greatest. 3. Correct answer: B Measure of one side. 4. Correct answer: C 5. Correct answer: A a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a 4 y 4 z 2 6. Correct answer: C Number of lines of symmetry of a regular polygon is equal to its number of sides. Since, regular heptagon has 7 sides, it has 7 lines of symmetry. Page 2 CBSE VII | Mathematics Sample Paper 1 â€“ Solution CBSE Board Class VII Mathematics Term II Sample Paper 1 â€“ Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: B Discount = 40% on Rs 7000 = ?? 4 7000 Rs 2800 100 Therefore, SP = Rs (7000 - 2800) = Rs 4200. 2. Correct answer: A Since the numerators are equal, so the rational number with the least denominator is the greatest. 3. Correct answer: B Measure of one side. 4. Correct answer: C 5. Correct answer: A a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a 4 y 4 z 2 6. Correct answer: C Number of lines of symmetry of a regular polygon is equal to its number of sides. Since, regular heptagon has 7 sides, it has 7 lines of symmetry. CBSE VII | Mathematics Sample Paper 1 â€“ Solution 7. Correct answer: B A number is chosen from numbers 1 to 5. Odd numbers are 1, 3 and 5. Required probability= ? Number of ways to choose an odd number 3 Total number of numbers 5 8. Correct answer: A A regular hexagon has 1 centre of rotation. 9. Correct answer: C 10. Correct answer: B Substituting the value of x in the given expression, we get: 7 × (-2) 2 -5 × (-2) + k = -4 28 + 10 + k = -4 38 + k = -4 Thus, k = -42 11. Correct answer: D Since, the angle measuring 150 o and y are corresponding angles. Therefore, y = 150 o . (As the lines are parallel, corresponding angles are equal) 12. Correct answer: C -5 + 9 + (-5) + (-10) + (1) -5 + 9 = 4 4 + (-5) = -1 -1 + (-10) = -1 - 10 = -11 -11 + 1 = -10 So, -5 + 9 + (-5) + (-10) + (1) = -10 Page 3 CBSE VII | Mathematics Sample Paper 1 â€“ Solution CBSE Board Class VII Mathematics Term II Sample Paper 1 â€“ Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: B Discount = 40% on Rs 7000 = ?? 4 7000 Rs 2800 100 Therefore, SP = Rs (7000 - 2800) = Rs 4200. 2. Correct answer: A Since the numerators are equal, so the rational number with the least denominator is the greatest. 3. Correct answer: B Measure of one side. 4. Correct answer: C 5. Correct answer: A a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a 4 y 4 z 2 6. Correct answer: C Number of lines of symmetry of a regular polygon is equal to its number of sides. Since, regular heptagon has 7 sides, it has 7 lines of symmetry. CBSE VII | Mathematics Sample Paper 1 â€“ Solution 7. Correct answer: B A number is chosen from numbers 1 to 5. Odd numbers are 1, 3 and 5. Required probability= ? Number of ways to choose an odd number 3 Total number of numbers 5 8. Correct answer: A A regular hexagon has 1 centre of rotation. 9. Correct answer: C 10. Correct answer: B Substituting the value of x in the given expression, we get: 7 × (-2) 2 -5 × (-2) + k = -4 28 + 10 + k = -4 38 + k = -4 Thus, k = -42 11. Correct answer: D Since, the angle measuring 150 o and y are corresponding angles. Therefore, y = 150 o . (As the lines are parallel, corresponding angles are equal) 12. Correct answer: C -5 + 9 + (-5) + (-10) + (1) -5 + 9 = 4 4 + (-5) = -1 -1 + (-10) = -1 - 10 = -11 -11 + 1 = -10 So, -5 + 9 + (-5) + (-10) + (1) = -10 CBSE VII | Mathematics Sample Paper 1 â€“ Solution Section B 13. 2x-1 x+2 = 32 Multiply both sides by 6 (L.C.M of 3 and 2) 2 (2x -1) = 3 (x + 2) 4x - 2 = 3x + 6 Transpose 3x to L.H.S and -2 to R.H.S 4x -3x = 6 + 2 x = 8 14. Decrease in consumption = 10 - 8 = 2 kg Therefore, = ?? 2 100 20 10 % 15. The rational form of the given decimals are: The rational numbers obtained above can be represented as follows: 16. Area of the triangle ABC = 48 m 2 Height, CD = 12 m Area = 1 2 x base x height 48 = 1 2 x AB x 12 6 x AB = 48 AB = 8 m Thus, base AB = 8 m Page 4 CBSE VII | Mathematics Sample Paper 1 â€“ Solution CBSE Board Class VII Mathematics Term II Sample Paper 1 â€“ Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: B Discount = 40% on Rs 7000 = ?? 4 7000 Rs 2800 100 Therefore, SP = Rs (7000 - 2800) = Rs 4200. 2. Correct answer: A Since the numerators are equal, so the rational number with the least denominator is the greatest. 3. Correct answer: B Measure of one side. 4. Correct answer: C 5. Correct answer: A a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a 4 y 4 z 2 6. Correct answer: C Number of lines of symmetry of a regular polygon is equal to its number of sides. Since, regular heptagon has 7 sides, it has 7 lines of symmetry. CBSE VII | Mathematics Sample Paper 1 â€“ Solution 7. Correct answer: B A number is chosen from numbers 1 to 5. Odd numbers are 1, 3 and 5. Required probability= ? Number of ways to choose an odd number 3 Total number of numbers 5 8. Correct answer: A A regular hexagon has 1 centre of rotation. 9. Correct answer: C 10. Correct answer: B Substituting the value of x in the given expression, we get: 7 × (-2) 2 -5 × (-2) + k = -4 28 + 10 + k = -4 38 + k = -4 Thus, k = -42 11. Correct answer: D Since, the angle measuring 150 o and y are corresponding angles. Therefore, y = 150 o . (As the lines are parallel, corresponding angles are equal) 12. Correct answer: C -5 + 9 + (-5) + (-10) + (1) -5 + 9 = 4 4 + (-5) = -1 -1 + (-10) = -1 - 10 = -11 -11 + 1 = -10 So, -5 + 9 + (-5) + (-10) + (1) = -10 CBSE VII | Mathematics Sample Paper 1 â€“ Solution Section B 13. 2x-1 x+2 = 32 Multiply both sides by 6 (L.C.M of 3 and 2) 2 (2x -1) = 3 (x + 2) 4x - 2 = 3x + 6 Transpose 3x to L.H.S and -2 to R.H.S 4x -3x = 6 + 2 x = 8 14. Decrease in consumption = 10 - 8 = 2 kg Therefore, = ?? 2 100 20 10 % 15. The rational form of the given decimals are: The rational numbers obtained above can be represented as follows: 16. Area of the triangle ABC = 48 m 2 Height, CD = 12 m Area = 1 2 x base x height 48 = 1 2 x AB x 12 6 x AB = 48 AB = 8 m Thus, base AB = 8 m CBSE VII | Mathematics Sample Paper 1 â€“ Solution 17. Consider: 3(a + b) - 2(2a - b) + 4a - 7 = 3a + 3b - 4a + 2b + 4a - 7 = (3a - 4a + 4a) + (2b + 3b) - 7 = 3a + 5b - 7 18. We have, Since bases are equal, powers are also equal. 19. The alphabet is H It has 2 lines of symmetry as shown below: After rotating the letter H through 180 o , we find that the image remains same. So the order of rotational symmetry is 2. 20. Number of cubes in the first layer = 5 x 5 = 25 Number of cubes in the second layer = 13 + 4 = 17 Number of cubes in third layer = 4 Hence, total number of cubes = 25 + 17 + 4 = 46 Page 5 CBSE VII | Mathematics Sample Paper 1 â€“ Solution CBSE Board Class VII Mathematics Term II Sample Paper 1 â€“ Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: B Discount = 40% on Rs 7000 = ?? 4 7000 Rs 2800 100 Therefore, SP = Rs (7000 - 2800) = Rs 4200. 2. Correct answer: A Since the numerators are equal, so the rational number with the least denominator is the greatest. 3. Correct answer: B Measure of one side. 4. Correct answer: C 5. Correct answer: A a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a 4 y 4 z 2 6. Correct answer: C Number of lines of symmetry of a regular polygon is equal to its number of sides. Since, regular heptagon has 7 sides, it has 7 lines of symmetry. CBSE VII | Mathematics Sample Paper 1 â€“ Solution 7. Correct answer: B A number is chosen from numbers 1 to 5. Odd numbers are 1, 3 and 5. Required probability= ? Number of ways to choose an odd number 3 Total number of numbers 5 8. Correct answer: A A regular hexagon has 1 centre of rotation. 9. Correct answer: C 10. Correct answer: B Substituting the value of x in the given expression, we get: 7 × (-2) 2 -5 × (-2) + k = -4 28 + 10 + k = -4 38 + k = -4 Thus, k = -42 11. Correct answer: D Since, the angle measuring 150 o and y are corresponding angles. Therefore, y = 150 o . (As the lines are parallel, corresponding angles are equal) 12. Correct answer: C -5 + 9 + (-5) + (-10) + (1) -5 + 9 = 4 4 + (-5) = -1 -1 + (-10) = -1 - 10 = -11 -11 + 1 = -10 So, -5 + 9 + (-5) + (-10) + (1) = -10 CBSE VII | Mathematics Sample Paper 1 â€“ Solution Section B 13. 2x-1 x+2 = 32 Multiply both sides by 6 (L.C.M of 3 and 2) 2 (2x -1) = 3 (x + 2) 4x - 2 = 3x + 6 Transpose 3x to L.H.S and -2 to R.H.S 4x -3x = 6 + 2 x = 8 14. Decrease in consumption = 10 - 8 = 2 kg Therefore, = ?? 2 100 20 10 % 15. The rational form of the given decimals are: The rational numbers obtained above can be represented as follows: 16. Area of the triangle ABC = 48 m 2 Height, CD = 12 m Area = 1 2 x base x height 48 = 1 2 x AB x 12 6 x AB = 48 AB = 8 m Thus, base AB = 8 m CBSE VII | Mathematics Sample Paper 1 â€“ Solution 17. Consider: 3(a + b) - 2(2a - b) + 4a - 7 = 3a + 3b - 4a + 2b + 4a - 7 = (3a - 4a + 4a) + (2b + 3b) - 7 = 3a + 5b - 7 18. We have, Since bases are equal, powers are also equal. 19. The alphabet is H It has 2 lines of symmetry as shown below: After rotating the letter H through 180 o , we find that the image remains same. So the order of rotational symmetry is 2. 20. Number of cubes in the first layer = 5 x 5 = 25 Number of cubes in the second layer = 13 + 4 = 17 Number of cubes in third layer = 4 Hence, total number of cubes = 25 + 17 + 4 = 46 CBSE VII | Mathematics Sample Paper 1 â€“ Solution 21. Drawing the relational part, the images become as follows: 22. i. 343000 = 343 × 1000 = 7 × 7 × 7 × 10 × 10 × 10 = 7 3 ×10 3 ii. 2048 = 2 × 1024 = 2 × 2 × 512 = 2 × 2 × 2 × 256 = 2 × 2 × 2 × 2 × 128 = 2 × 2 × 2 × 2 × 2 × 64 = 2 × 2 × 2 × 2 × 2 × 2 × 32 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 16 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 8 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2 11 23. Total tons of hay owned by the farmer = 1 56 2 tons Amount of hay sold by him = 3 5 of 1 56 2 tons i.e. 3 5 × 1 56 2 ['of' means multiplication] 3 113 =× 52 3×113 = 5×2 339 = 10 9 =33 10 Thus, the farmer sold 9 33 10 tons of hay.Read More

90 docs

### Sample Paper - 1, Mathematics, Class 7

- Doc | 6 pages
### Sample Paper - 2, Mathematics, Class 7

- Doc | 3 pages
### Sample Paper - 3, Mathematics, Class 7

- Doc | 2 pages
### Sample Paper - 4, Mathematics, Class 7

- Doc | 3 pages