Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 551 · 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 cuboid is 4 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
2. 2.Solve: 3(x − 3) = 2x + 2. What is x?
3. 3.What is the value of 2⁻⁹ (as a fraction)? =
4. 4.Use (a − b)² = a² − 2ab + b² to find 76².
5. 5.A town has 27600 people. The population grows by 20% every year. What will the population be after 1 year?
6. 6.What is ∛343? =
7. 7.What amount will ₹17400 grow to in 1 year at 8% per year compound interest (in ₹)?
8. 8.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
9. 9.Write 5⁵ × 5⁸ as a single power 5ⁿ. What is n?
10. 10.What is the smallest whole number by which 189 must be divided to get a perfect cube?
11. 11.Solve: 7t + 13 = 6t + 27. What is t?
12. 12.Find the value of x² − y² when x = 11 and y = 6.
13. 13.The diagonals of a rhombus are 14 cm and 27 cm. What is its area (in square cm)?
14. 14.A trapezium has parallel sides of 13 cm and 30 cm, and the distance between them is 16 cm. What is its area (in square cm)?
15. 15.Use (a − b)² = a² − 2ab + b² to find 82².
16. 16.Which of these is a perfect square? (a) 1248 (b) 1225 (c) 1232
17. 17.Solve: 8y + 1 = 6y + 19. What is y?
18. 18.What is the value of 5⁶? =
19. 19.Find the compound interest on ₹59000 at 5% per year for 1 year, compounded every year (in ₹).
20. 20.A town has 52500 people. The population grows by 20% every year. What will the population be after 3 years?
21. 21.The sum of three consecutive whole numbers is 165. What is the smallest of them?
22. 22.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
23. 23.What is the value of 3⁻¹ (as a fraction)? =
24. 24.What amount will ₹44400 grow to in 2 years at 25% per year compound interest (in ₹)?
25. 25.Which of these is a perfect cube? (a) 370 (b) 343 (c) 469
26. 26.The length of a rectangle is 10 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
27. 27.If a + b = 11 and ab = 18, what is a² + b²?
28. 28.Write 90,000 in standard form as 9 × 10ⁿ. What is n?
29. 29.Which of these is a perfect cube? (a) 1000 (b) 1226 (c) 1015
30. 30.Use (a − b)² = a² − 2ab + b² to find 11².
31. 31.A trapezium has parallel sides of 10 cm and 6 cm, and the distance between them is 18 cm. What is its area (in square cm)?
32. 32.Solve: 3(y − 5) = y + 19. What is y?
33. 33.A cuboid is 14 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
34. 34.Use (a + b)² = a² + 2ab + b² to find 74².
35. 35.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
36. 36.Write 3.5 × 10⁻² as a decimal. =
37. 37.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
38. 38.What amount will ₹32000 grow to in 3 years at 10% per year compound interest (in ₹)?
39. 39.Write 66,000 in standard form as 6.6 × 10ⁿ. What is n?
40. 40.The diagonals of a rhombus are 4 cm and 19 cm. What is its area (in square cm)?

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