Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 523 · 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 value of (1/9)⁻¹? =
2. 2.A town has 26000 people. The population grows by 5% every year. What will the population be after 2 years?
3. 3.What is the value of 10⁻¹ (as a fraction)? =
4. 4.Find the compound interest on ₹30800 at 15% per year for 2 years, compounded every year (in ₹).
5. 5.What is the difference between the compound interest and the simple interest on ₹2200 at 10% per year for 2 years (in ₹)?
6. 6.What is the value of 3⁸? =
7. 7.Use (a + b)² = a² + 2ab + b² to find 56².
8. 8.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
9. 9.What is the value of 7⁻¹ (as a fraction)? =
10. 10.Write 7⁵ × 7⁵ as a single power 7ⁿ. What is n?
11. 11.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
12. 12.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
13. 13.Solve: 3n + 10 = n + 38. What is n?
14. 14.Find the value of x² + 2xy + y² when x = 6 and y = 4.
15. 15.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
16. 16.What is the value of 8⁵? =
17. 17.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
18. 18.What is 4³? =
19. 19.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
20. 20.What is the smallest whole number by which 18 must be multiplied to get a perfect square?
21. 21.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
22. 22.A cuboid is 9 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
23. 23.Which of these is a perfect cube? (a) 343 (b) 364 (c) 395
24. 24.A father is 15 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
25. 25.What is ∛64? =
26. 26.What is 8³? =
27. 27.Use a² − b² = (a + b)(a − b) to find 93² − 77².
28. 28.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
29. 29.Find the compound interest on ₹38100 at 15% per year for 1 year, compounded every year (in ₹).
30. 30.Solve: y/5 + y/2 = 28. What is y?
31. 31.A trapezium has an area of 170 square cm. Its parallel sides are 10 cm and 7 cm. What is the distance between them (in cm)?
32. 32.A square garden has an area of 1369 square m. How long is each side (in m)?
33. 33.What is 29²? =
34. 34.Use (a + b)² = a² + 2ab + b² to find 36².
35. 35.What is 87²? =
36. 36.What amount will ₹5000 grow to in 2 years at 4% per year compound interest (in ₹)?
37. 37.What is 10³? =
38. 38.Solve: 8p + 15 = 7p + 21. What is p?
39. 39.A square garden has an area of 100 square m. How long is each side (in m)?
40. 40.Use (a + b)² = a² + 2ab + b² to find 54².

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