Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 86 · 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.How many whole numbers lie between 38² and 39²?
2. 2.A square garden has an area of 1936 square m. How long is each side (in m)?
3. 3.Use (a − b)² = a² − 2ab + b² to find 58².
4. 4.What is the value of 2¹³? =
5. 5.What is the value of 2⁶? =
6. 6.Use (a − b)² = a² − 2ab + b² to find 77².
7. 7.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
8. 8.Use (a + b)² = a² + 2ab + b² to find 32².
9. 9.A trapezium has parallel sides of 7 cm and 30 cm, and the distance between them is 8 cm. What is its area (in square cm)?
10. 10.Solve: x/6 + x/3 = 6. What is x?
11. 11.Find the compound interest on ₹6200 at 4% per year for 1 year, compounded every year (in ₹).
12. 12.What is √9025? =
13. 13.A room is 4 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
14. 14.Which of these is a perfect square? (a) 1373 (b) 1369 (c) 1398
15. 15.What is the value of 8⁵? =
16. 16.A cuboid is 7 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
17. 17.If a − b = 5 and ab = 24, what is a² + b²?
18. 18.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
19. 19.Use (a + b)(a − b) = a² − b² to find 36 × 24.
20. 20.The length of a rectangle is 14 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
21. 21.Solve: p/6 + p/2 = 8. What is p?
22. 22.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
23. 23.A square garden has an area of 1600 square m. How long is each side (in m)?
24. 24.What amount will ₹33200 grow to in 2 years at 25% per year compound interest (in ₹)?
25. 25.Use (a − b)² = a² − 2ab + b² to find 97².
26. 26.Write 7.2 × 10⁻² as a decimal. =
27. 27.If a + b = 7 and ab = 12, what is a² + b²?
28. 28.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
29. 29.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
30. 30.A cuboid is 3 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
31. 31.Which of these is a perfect cube? (a) 50 (b) 37 (c) 27
32. 32.What is the value of 5¹ × 5⁻⁶? =
33. 33.What is the value of 5⁴ × 5⁻²? =
34. 34.Find the compound interest on ₹11200 at 5% per year for 2 years, compounded every year (in ₹).
35. 35.Find the value of x² + 2xy + y² when x = 11 and y = 2.
36. 36.Which of these is a perfect cube? (a) 226 (b) 216 (c) 268
37. 37.A square garden has an area of 196 square m. How long is each side (in m)?
38. 38.Solve: 6p + 5 = 4p + 15. What is p?
39. 39.Find the compound interest on ₹43600 at 25% per year for 2 years, compounded every year (in ₹).
40. 40.Use (a − b)² = a² − 2ab + b² to find 37².

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