Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 362 · 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.A trapezium has an area of 92 square cm. Its parallel sides are 19 cm and 4 cm. What is the distance between them (in cm)?
2. 2.Write 6.1 × 10⁻² as a decimal. =
3. 3.What is the value of 10⁵? =
4. 4.Write 6.5 × 10⁻⁴ as a decimal. =
5. 5.A town has 50500 people. The population grows by 5% every year. What will the population be after 1 year?
6. 6.Which of these is a perfect cube? (a) 792 (b) 729 (c) 901
7. 7.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
8. 8.Find the value of x² + 2xy + y² when x = 12 and y = 2.
9. 9.A trapezium has parallel sides of 26 cm and 3 cm, and the distance between them is 20 cm. What is its area (in square cm)?
10. 10.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
11. 11.What is 37²? =
12. 12.The sum of three consecutive whole numbers is 42. What is the smallest of them?
13. 13.Write 5³ × 5⁸ as a single power 5ⁿ. What is n?
14. 14.Which of these is a perfect square? (a) 1156 (b) 1166 (c) 1222
15. 15.Solve: n/3 + n/5 = 8. What is n?
16. 16.What amount will ₹31200 grow to in 1 year at 8% per year compound interest (in ₹)?
17. 17.What is the difference between the compound interest and the simple interest on ₹51700 at 10% per year for 2 years (in ₹)?
18. 18.Which of these is a perfect cube? (a) 1451 (b) 1331 (c) 1653
19. 19.Use a² − b² = (a + b)(a − b) to find 84² − 49².
20. 20.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
21. 21.Solve: 6p + 1 = p + 26. What is p?
22. 22.How many whole numbers lie between 18² and 19²?
23. 23.Solve: 3(y − 3) = y + 19. What is y?
24. 24.Write 7.4 × 10⁻² as a decimal. =
25. 25.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
26. 26.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
27. 27.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
28. 28.Use a² − b² = (a + b)(a − b) to find 25² − 12².
29. 29.What is 84²? =
30. 30.What is 16²? =
31. 31.Solve: x/6 + x/5 = 66. What is x?
32. 32.Use (a + b)² = a² + 2ab + b² to find 11².
33. 33.What is the difference between the compound interest and the simple interest on ₹30100 at 20% per year for 2 years (in ₹)?
34. 34.Solve: 9x + 1 = x + 41. What is x?
35. 35.Solve: 4(t − 1) = t + 11. What is t?
36. 36.Use (a + b)² = a² + 2ab + b² to find 46².
37. 37.What is ∛6859? =
38. 38.A father is 12 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
39. 39.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
40. 40.What is 53²? =

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