Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 762 · 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 10⁶ × 10⁻⁵? =
2. 2.A square garden has an area of 676 square m. How long is each side (in m)?
3. 3.Use (a + b)² = a² + 2ab + b² to find 22².
4. 4.What is 82²? =
5. 5.What is 16²? =
6. 6.If a − b = 2 and ab = 8, what is a² + b²?
7. 7.Find the value of x² − y² when x = 9 and y = 2.
8. 8.A cuboid is 5 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
9. 9.What amount will ₹58500 grow to in 3 years at 20% per year compound interest (in ₹)?
10. 10.A trapezium has parallel sides of 13 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
11. 11.Write 4.2 × 10⁻² as a decimal. =
12. 12.What is the value of 5⁵ × 5⁻²? =
13. 13.What is 11²? =
14. 14.What is the smallest whole number by which 18 must be multiplied to get a perfect square?
15. 15.Use (a − b)² = a² − 2ab + b² to find 96².
16. 16.If a − b = 1 and ab = 42, what is a² + b²?
17. 17.A square garden has an area of 81 square m. How long is each side (in m)?
18. 18.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
19. 19.What amount will ₹13100 grow to in 2 years at 10% per year compound interest (in ₹)?
20. 20.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
21. 21.What is 7³? =
22. 22.What is the value of 2¹⁴? =
23. 23.Write 6² × 6⁹ as a single power 6ⁿ. What is n?
24. 24.What is ∛15625? =
25. 25.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
26. 26.What amount will ₹24000 grow to in 3 years at 15% per year compound interest (in ₹)?
27. 27.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
28. 28.Write 4¹¹ ÷ 4³ as a single power 4ⁿ. What is n?
29. 29.How many whole numbers lie between 17² and 18²?
30. 30.What is ∛216? =
31. 31.What is the difference between the compound interest and the simple interest on ₹13600 at 15% per year for 2 years (in ₹)?
32. 32.Solve: p/6 + p/5 = 55. What is p?
33. 33.Use a² − b² = (a + b)(a − b) to find 86² − 78².
34. 34.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
35. 35.Find the compound interest on ₹8000 at 15% per year for 3 years, compounded every year (in ₹).
36. 36.Find the compound interest on ₹30800 at 4% per year for 1 year, compounded every year (in ₹).
37. 37.Solve: 3(p − 1) = 2p + 6. What is p?
38. 38.If a − b = 1 and ab = 6, what is a² + b²?
39. 39.A trapezium has parallel sides of 24 cm and 4 cm, and the distance between them is 18 cm. What is its area (in square cm)?
40. 40.Solve: 5t + 3 = 2t + 6. What is t?

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