Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 217 · 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.Write 2,90,000 in standard form as 2.9 × 10ⁿ. What is n?
2. 2.Write 98,000 in standard form as 9.8 × 10ⁿ. What is n?
3. 3.What amount will ₹20400 grow to in 2 years at 5% per year compound interest (in ₹)?
4. 4.Use (a + b)(a − b) = a² − b² to find 85 × 75.
5. 5.What is the difference between the compound interest and the simple interest on ₹48400 at 5% per year for 2 years (in ₹)?
6. 6.What is the value of 9⁻² (as a fraction)? =
7. 7.The diagonals of a rhombus are 16 cm and 27 cm. What is its area (in square cm)?
8. 8.Solve: 4(m − 1) = m + 14. What is m?
9. 9.What is the value of 4⁶? =
10. 10.Solve: 4(t − 3) = 3t + 2. What is t?
11. 11.A scooter is worth ₹57500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
12. 12.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
13. 13.A town has 57600 people. The population grows by 5% every year. What will the population be after 2 years?
14. 14.What is the value of (7/8)⁻¹? =
15. 15.Use (a + b)(a − b) = a² − b² to find 22 × 18.
16. 16.A scooter is worth ₹8000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
17. 17.The sum of four consecutive whole numbers is 182. What is the largest of them?
18. 18.What is 15²? =
19. 19.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
20. 20.The sum of three consecutive whole numbers is 63. What is the largest of them?
21. 21.The length of a rectangle is 8 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
22. 22.A cuboid is 7 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
23. 23.A room is 11 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
24. 24.A square garden has an area of 729 square m. How long is each side (in m)?
25. 25.How many whole numbers lie between 30² and 31²?
26. 26.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
27. 27.The diagonals of a rhombus are 26 cm and 25 cm. What is its area (in square cm)?
28. 28.What is 5³? =
29. 29.A trapezium has parallel sides of 6 cm and 4 cm, and the distance between them is 10 cm. What is its area (in square cm)?
30. 30.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
31. 31.Write 8,70,00,000 in standard form as 8.7 × 10ⁿ. What is n?
32. 32.Write 1,60,00,000 in standard form as 1.6 × 10ⁿ. What is n?
33. 33.A father is 24 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
34. 34.Find the value of x² + 2xy + y² when x = 3 and y = 2.
35. 35.Solve: x/3 + x/6 = 3. What is x?
36. 36.What is the difference between the compound interest and the simple interest on ₹32000 at 15% per year for 2 years (in ₹)?
37. 37.The sum of two consecutive whole numbers is 31. What is the smallest of them?
38. 38.Use (a + b)² = a² + 2ab + b² to find 35².
39. 39.Use (a + b)² = a² + 2ab + b² to find 66².
40. 40.A cuboid is 10 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?

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