Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 904 · 40 sums

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

1. 1.What is the smallest whole number by which 240 must be multiplied to get a perfect square?
2. 2.A trapezium has an area of 144 square cm. Its parallel sides are 14 cm and 10 cm. What is the distance between them (in cm)?
3. 3.A cuboid is 5 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
4. 4.Use (a + b)² = a² + 2ab + b² to find 28².
5. 5.A square garden has an area of 324 square m. How long is each side (in m)?
6. 6.A square garden has an area of 196 square m. How long is each side (in m)?
7. 7.How many whole numbers lie between 10² and 11²?
8. 8.Solve: x/4 + x/5 = 18. What is x?
9. 9.Solve: 4m + 11 = 2m + 33. What is m?
10. 10.What is the difference between the compound interest and the simple interest on ₹6100 at 20% per year for 2 years (in ₹)?
11. 11.A trapezium has an area of 38 square cm. Its parallel sides are 16 cm and 3 cm. What is the distance between them (in cm)?
12. 12.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
13. 13.If a − b = 5 and ab = 36, what is a² + b²?
14. 14.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
15. 15.What is √9216? =
16. 16.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
17. 17.Which of these is a perfect cube? (a) 3378 (b) 3911 (c) 3375
18. 18.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
19. 19.Use (a + b)² = a² + 2ab + b² to find 43².
20. 20.A cuboid is 15 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
21. 21.A trapezium has parallel sides of 9 cm and 28 cm, and the distance between them is 16 cm. What is its area (in square cm)?
22. 22.What is the value of 10⁻¹ (as a fraction)? =
23. 23.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
24. 24.What is √2601? =
25. 25.8.1 × 10⁵ =
26. 26.What is the value of 9⁻³ (as a fraction)? =
27. 27.Which of these is a perfect square? (a) 1600 (b) 1612 (c) 1619
28. 28.What amount will ₹57700 grow to in 1 year at 10% per year compound interest (in ₹)?
29. 29.Solve: 6(x − 2) = x + 53. What is x?
30. 30.How many whole numbers lie between 37² and 38²?
31. 31.Use (a + b)² = a² + 2ab + b² to find 69².
32. 32.What is 97²? =
33. 33.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
34. 34.Solve: y/2 + y/6 = 12. What is y?
35. 35.Solve: 9t + 2 = t + 34. What is t?
36. 36.Use (a + b)(a − b) = a² − b² to find 98 × 82.
37. 37.Solve: 5(t − 3) = 3t + 13. What is t?
38. 38.A square garden has an area of 3600 square m. How long is each side (in m)?
39. 39.A town has 52500 people. The population grows by 8% every year. What will the population be after 2 years?
40. 40.A trapezium has parallel sides of 24 cm and 7 cm, and the distance between them is 4 cm. What is its area (in square cm)?

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