Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 58 · 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 8.8 × 10⁻¹ as a decimal. =
2. 2.Solve: 4(t − 1) = t + 2. What is t?
3. 3.Which of these is a perfect cube? (a) 764 (b) 729 (c) 806
4. 4.Use (a − b)² = a² − 2ab + b² to find 99².
5. 5.Write 3.7 × 10⁻⁴ as a decimal. =
6. 6.A square garden has an area of 1764 square m. How long is each side (in m)?
7. 7.A cuboid is 15 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
8. 8.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
9. 9.Use (a − b)² = a² − 2ab + b² to find 61².
10. 10.A town has 43000 people. The population grows by 20% every year. What will the population be after 3 years?
11. 11.Use a² − b² = (a + b)(a − b) to find 49² − 4².
12. 12.What is √6241? =
13. 13.If a − b = 2 and ab = 48, what is a² + b²?
14. 14.A trapezium has an area of 320 square cm. Its parallel sides are 20 cm and 12 cm. What is the distance between them (in cm)?
15. 15.What is the value of 10² × 10⁻²? =
16. 16.What is the value of 3⁷? =
17. 17.Write 7.7 × 10⁻¹ as a decimal. =
18. 18.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
19. 19.What is the value of 2² × 2⁻⁵? =
20. 20.Which of these is a perfect square? (a) 190 (b) 169 (c) 174
21. 21.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
22. 22.What is √3364? =
23. 23.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
24. 24.A square garden has an area of 36 square m. How long is each side (in m)?
25. 25.A scooter is worth ₹55100. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
26. 26.Solve: y/5 + y/4 = 63. What is y?
27. 27.What is the difference between the compound interest and the simple interest on ₹37600 at 5% per year for 2 years (in ₹)?
28. 28.What is √676? =
29. 29.Write 4.5 × 10⁻¹ as a decimal. =
30. 30.Write 9.7 × 10⁻² as a decimal. =
31. 31.The length of a rectangle is 4 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
32. 32.What amount will ₹22000 grow to in 1 year at 12% per year compound interest (in ₹)?
33. 33.What is √7396? =
34. 34.Find the compound interest on ₹12500 at 12% per year for 2 years, compounded every year (in ₹).
35. 35.Find the compound interest on ₹7300 at 15% per year for 1 year, compounded every year (in ₹).
36. 36.What is 39²? =
37. 37.Use a² − b² = (a + b)(a − b) to find 76² − 23².
38. 38.What is the value of (1/5)⁻²? =
39. 39.Write 7³ × 7⁵ as a single power 7ⁿ. What is n?
40. 40.A trapezium has an area of 69 square cm. Its parallel sides are 30 cm and 16 cm. What is the distance between them (in cm)?

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