Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 85 · 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 4⁵? =
2. 2.Use a² − b² = (a + b)(a − b) to find 31² − 21².
3. 3.Write 7.6 × 10⁻¹ as a decimal. =
4. 4.Write 4.4 × 10⁻¹ as a decimal. =
5. 5.Use a² − b² = (a + b)(a − b) to find 92² − 67².
6. 6.What is the difference between the compound interest and the simple interest on ₹15600 at 15% per year for 2 years (in ₹)?
7. 7.What amount will ₹3000 grow to in 3 years at 10% per year compound interest (in ₹)?
8. 8.How many whole numbers lie between 20² and 21²?
9. 9.Write (5⁵)⁹ as a single power 5ⁿ. What is n?
10. 10.Solve: 9y + 1 = 3y + 19. What is y?
11. 11.What is the smallest whole number by which 486 must be multiplied to get a perfect square?
12. 12.Use a² − b² = (a + b)(a − b) to find 36² − 3².
13. 13.What is the value of 6⁶? =
14. 14.A trapezium has an area of 243 square cm. Its parallel sides are 22 cm and 5 cm. What is the distance between them (in cm)?
15. 15.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
16. 16.A room is 3 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
17. 17.Write 3⁵ ÷ 3³ as a single power 3ⁿ. What is n?
18. 18.Which of these is a perfect square? (a) 1247 (b) 1225 (c) 1226
19. 19.What is ∛27? =
20. 20.Use (a − b)² = a² − 2ab + b² to find 57².
21. 21.What is the difference between the compound interest and the simple interest on ₹48400 at 5% per year for 2 years (in ₹)?
22. 22.A trapezium has parallel sides of 23 cm and 22 cm, and the distance between them is 18 cm. What is its area (in square cm)?
23. 23.A trapezium has parallel sides of 6 cm and 21 cm, and the distance between them is 16 cm. What is its area (in square cm)?
24. 24.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
25. 25.A square garden has an area of 3025 square m. How long is each side (in m)?
26. 26.Use (a + b)² = a² + 2ab + b² to find 14².
27. 27.Write 6,20,00,000 in standard form as 6.2 × 10ⁿ. What is n?
28. 28.Find the value of x² − y² when x = 15 and y = 10.
29. 29.What is the value of 7²? =
30. 30.How many whole numbers lie between 28² and 29²?
31. 31.Write 800 in standard form as 8 × 10ⁿ. What is n?
32. 32.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
33. 33.A trapezium has parallel sides of 16 cm and 9 cm, and the distance between them is 4 cm. What is its area (in square cm)?
34. 34.If a − b = 6 and ab = 7, what is a² + b²?
35. 35.Which of these is a perfect cube? (a) 86 (b) 76 (c) 64
36. 36.The diagonals of a rhombus are 20 cm and 10 cm. What is its area (in square cm)?
37. 37.A cuboid is 5 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
38. 38.A cuboid is 5 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
39. 39.A room is 8 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
40. 40.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?

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