Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 623 · 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 trapezium has an area of 36 square cm. Its parallel sides are 30 cm and 6 cm. What is the distance between them (in cm)?
2. 2.A trapezium has an area of 153 square cm. Its parallel sides are 16 cm and 2 cm. What is the distance between them (in cm)?
3. 3.What is the value of 10³ × 10⁻³? =
4. 4.What is √7744? =
5. 5.A square garden has an area of 25 square m. How long is each side (in m)?
6. 6.A square garden has an area of 900 square m. How long is each side (in m)?
7. 7.What is the value of 8⁵? =
8. 8.If a − b = 6 and ab = 27, what is a² + b²?
9. 9.What is the value of 2² × 2⁻¹? =
10. 10.A scooter is worth ₹42500. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
11. 11.Write (3⁶)² as a single power 3ⁿ. What is n?
12. 12.Write 7.4 × 10⁻¹ as a decimal. =
13. 13.Find the compound interest on ₹12800 at 25% per year for 3 years, compounded every year (in ₹).
14. 14.The sum of four consecutive whole numbers is 134. What is the largest of them?
15. 15.What is the difference between the compound interest and the simple interest on ₹14900 at 10% per year for 2 years (in ₹)?
16. 16.Solve: 5(p − 4) = 2p + 10. What is p?
17. 17.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
18. 18.Find the value of x² − y² when x = 11 and y = 9.
19. 19.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
20. 20.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
21. 21.What is the smallest whole number by which 396 must be multiplied to get a perfect square?
22. 22.Write 6.7 × 10⁻³ as a decimal. =
23. 23.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
24. 24.What is √289? =
25. 25.What is 13³? =
26. 26.Find the value of x² − 2xy + y² when x = 6 and y = 4.
27. 27.A trapezium has parallel sides of 22 cm and 13 cm, and the distance between them is 6 cm. What is its area (in square cm)?
28. 28.Use a² − b² = (a + b)(a − b) to find 31² − 9².
29. 29.What is the smallest whole number by which 486 must be divided to get a perfect square?
30. 30.Which of these is a perfect square? (a) 334 (b) 324 (c) 340
31. 31.What is the difference between the compound interest and the simple interest on ₹4900 at 10% per year for 2 years (in ₹)?
32. 32.Use (a + b)² = a² + 2ab + b² to find 58².
33. 33.The diagonals of a rhombus are 24 cm and 23 cm. What is its area (in square cm)?
34. 34.Find the value of x² − y² when x = 12 and y = 3.
35. 35.What amount will ₹24000 grow to in 3 years at 10% per year compound interest (in ₹)?
36. 36.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
37. 37.What is 29²? =
38. 38.A room is 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
39. 39.Use a² − b² = (a + b)(a − b) to find 61² − 56².
40. 40.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?

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