Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 565 · 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.Write 62,00,000 in standard form as 6.2 × 10ⁿ. What is n?
2. 2.Write 3.6 × 10⁻³ as a decimal. =
3. 3.What is the value of 3⁷? =
4. 4.Write 3.4 × 10⁻³ as a decimal. =
5. 5.Use (a − b)² = a² − 2ab + b² to find 62².
6. 6.Find the compound interest on ₹39700 at 20% per year for 2 years, compounded every year (in ₹).
7. 7.A room is 8 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
8. 8.A trapezium has an area of 95 square cm. Its parallel sides are 12 cm and 7 cm. What is the distance between them (in cm)?
9. 9.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
10. 10.A town has 45500 people. The population grows by 10% every year. What will the population be after 1 year?
11. 11.What is the value of 3³? =
12. 12.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
13. 13.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
14. 14.If a − b = 9 and ab = 22, what is a² + b²?
15. 15.Solve: t/4 + t/6 = 30. What is t?
16. 16.A trapezium has parallel sides of 8 cm and 16 cm, and the distance between them is 8 cm. What is its area (in square cm)?
17. 17.Write (3⁴)⁷ as a single power 3ⁿ. What is n?
18. 18.2.8 × 10⁴ =
19. 19.Write 4⁷ × 4⁷ as a single power 4ⁿ. What is n?
20. 20.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
21. 21.A square garden has an area of 2916 square m. How long is each side (in m)?
22. 22.A town has 30800 people. The population grows by 15% every year. What will the population be after 2 years?
23. 23.What is the value of (2/3)⁻¹? =
24. 24.Write 83,000 in standard form as 8.3 × 10ⁿ. What is n?
25. 25.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
26. 26.Find the value of x² − 2xy + y² when x = 8 and y = 5.
27. 27.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
28. 28.What amount will ₹55000 grow to in 2 years at 12% per year compound interest (in ₹)?
29. 29.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
30. 30.If a − b = 1 and ab = 42, what is a² + b²?
31. 31.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
32. 32.Use (a − b)² = a² − 2ab + b² to find 83².
33. 33.What is ∛9261? =
34. 34.What is √4356? =
35. 35.What is the smallest whole number by which 704 must be divided to get a perfect square?
36. 36.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
37. 37.How many whole numbers lie between 14² and 15²?
38. 38.A father is 16 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
39. 39.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
40. 40.What amount will ₹35000 grow to in 2 years at 4% per year compound interest (in ₹)?

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