Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 23 · 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 2³? =
2. 2.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
3. 3.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
4. 4.Solve: 3m + 18 = m + 22. What is m?
5. 5.What is the value of 3¹ × 3⁻²? =
6. 6.Solve: 3n + 20 = n + 48. What is n?
7. 7.A cuboid is 10 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
8. 8.Write (9⁹)³ as a single power 9ⁿ. What is n?
9. 9.Find the value of x² − 2xy + y² when x = 8 and y = 6.
10. 10.Use a² − b² = (a + b)(a − b) to find 36² − 26².
11. 11.A square garden has an area of 625 square m. How long is each side (in m)?
12. 12.Use (a + b)(a − b) = a² − b² to find 74 × 66.
13. 13.What is 83²? =
14. 14.The length of a rectangle is 14 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
15. 15.A room is 3 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
16. 16.Write 6⁵ ÷ 6² as a single power 6ⁿ. What is n?
17. 17.A scooter is worth ₹37400. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
18. 18.Solve: 6(t − 4) = t + 6. What is t?
19. 19.A father is 18 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
20. 20.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
21. 21.A town has 55600 people. The population grows by 20% every year. What will the population be after 1 year?
22. 22.Which of these is a perfect square? (a) 900 (b) 939 (c) 914
23. 23.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
24. 24.What is √4900? =
25. 25.What is the value of 5³? =
26. 26.Write 2.5 × 10⁻¹ as a decimal. =
27. 27.The length of a rectangle is 11 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
28. 28.Use (a + b)(a − b) = a² − b² to find 102 × 98.
29. 29.Write 8,10,00,000 in standard form as 8.1 × 10ⁿ. What is n?
30. 30.What is 90²? =
31. 31.What is the value of 2¹ × 2⁻¹? =
32. 32.How many whole numbers lie between 21² and 22²?
33. 33.What is the value of 3⁴? =
34. 34.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
35. 35.What is √400? =
36. 36.What is the value of 3¹⁰? =
37. 37.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
38. 38.What is 92²? =
39. 39.Write 4.7 × 10⁻² as a decimal. =
40. 40.Solve: t/5 + t/6 = 44. What is t?

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