Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 233 · 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.Which of these is a perfect square? (a) 119 (b) 100 (c) 106
2. 2.Use (a − b)² = a² − 2ab + b² to find 11².
3. 3.The diagonals of a rhombus are 10 cm and 13 cm. What is its area (in square cm)?
4. 4.A room is 10 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
5. 5.A square garden has an area of 784 square m. How long is each side (in m)?
6. 6.Which of these is a perfect cube? (a) 41 (b) 49 (c) 27
7. 7.What is √6889? =
8. 8.What is the value of 5⁵? =
9. 9.Write 8⁷ × 8² as a single power 8ⁿ. What is n?
10. 10.What amount will ₹16600 grow to in 1 year at 25% per year compound interest (in ₹)?
11. 11.Use (a − b)² = a² − 2ab + b² to find 78².
12. 12.Write 3¹⁰ ÷ 3⁶ as a single power 3ⁿ. What is n?
13. 13.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
14. 14.Write (9³)⁷ as a single power 9ⁿ. What is n?
15. 15.A town has 5600 people. The population grows by 5% every year. What will the population be after 2 years?
16. 16.The length of a rectangle is 10 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
17. 17.What is the value of 6⁶? =
18. 18.Write 8³ × 8⁸ as a single power 8ⁿ. What is n?
19. 19.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
20. 20.The diagonals of a rhombus are 12 cm and 14 cm. What is its area (in square cm)?
21. 21.What amount will ₹31200 grow to in 2 years at 25% per year compound interest (in ₹)?
22. 22.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
23. 23.A scooter is worth ₹16000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
24. 24.Write (9⁸)⁵ as a single power 9ⁿ. What is n?
25. 25.The diagonals of a rhombus are 28 cm and 20 cm. What is its area (in square cm)?
26. 26.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
27. 27.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
28. 28.4.1 × 10⁴ =
29. 29.Use a² − b² = (a + b)(a − b) to find 21² − 4².
30. 30.Find the compound interest on ₹53200 at 10% per year for 2 years, compounded every year (in ₹).
31. 31.Write 15,000 in standard form as 1.5 × 10ⁿ. What is n?
32. 32.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
33. 33.What is the smallest whole number by which 25 must be divided to get a perfect cube?
34. 34.The length of a rectangle is 11 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
35. 35.A scooter is worth ₹29500. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
36. 36.What is the value of 5² × 5⁻¹? =
37. 37.What is the value of 2¹⁶? =
38. 38.What is ∛512? =
39. 39.A town has 40300 people. The population grows by 10% every year. What will the population be after 2 years?
40. 40.What is √5184? =

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