Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 638 · 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.If a + b = 11 and ab = 28, what is a² + b²?
2. 2.Use (a − b)² = a² − 2ab + b² to find 81².
3. 3.The diagonals of a rhombus are 12 cm and 10 cm. What is its area (in square cm)?
4. 4.Use a² − b² = (a + b)(a − b) to find 23² − 8².
5. 5.Write 3⁴ × 3³ as a single power 3ⁿ. What is n?
6. 6.What is √8100? =
7. 7.Solve: t/6 + t/2 = 8. What is t?
8. 8.What is the difference between the compound interest and the simple interest on ₹17500 at 12% per year for 2 years (in ₹)?
9. 9.Find the compound interest on ₹2500 at 8% per year for 2 years, compounded every year (in ₹).
10. 10.Use (a + b)(a − b) = a² − b² to find 98 × 82.
11. 11.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
12. 12.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
13. 13.Write 4 × 10⁻² as a decimal. =
14. 14.Which of these is a perfect square? (a) 770 (b) 739 (c) 729
15. 15.What is ∛343? =
16. 16.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
17. 17.What is √900? =
18. 18.Use (a − b)² = a² − 2ab + b² to find 17².
19. 19.A town has 27800 people. The population grows by 4% every year. What will the population be after 1 year?
20. 20.What is 77²? =
21. 21.Use (a + b)² = a² + 2ab + b² to find 76².
22. 22.A cuboid is 4 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
23. 23.Solve: t/3 + t/5 = 24. What is t?
24. 24.A cuboid is 5 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
25. 25.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
26. 26.What amount will ₹48000 grow to in 2 years at 15% per year compound interest (in ₹)?
27. 27.A square garden has an area of 961 square m. How long is each side (in m)?
28. 28.What is the value of 2¹ × 2⁻¹? =
29. 29.The length of a rectangle is 13 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
30. 30.A town has 24000 people. The population grows by 15% every year. What will the population be after 3 years?
31. 31.A trapezium has parallel sides of 16 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?
32. 32.What is 66²? =
33. 33.Solve: 4n + 1 = 3n + 12. What is n?
34. 34.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
35. 35.Find the compound interest on ₹4200 at 25% per year for 1 year, compounded every year (in ₹).
36. 36.What is the difference between the compound interest and the simple interest on ₹44000 at 15% per year for 2 years (in ₹)?
37. 37.A room is 11 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
38. 38.A cuboid is 12 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
39. 39.Which of these is a perfect cube? (a) 2197 (b) 2231 (c) 2614
40. 40.Find the value of x² − y² when x = 8 and y = 3.

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