Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 1 · 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.Find the value of x² − y² when x = 10 and y = 7.
2. 2.The diagonals of a rhombus are 30 cm and 28 cm. What is its area (in square cm)?
3. 3.What is the value of 7⁻¹ (as a fraction)? =
4. 4.Find the compound interest on ₹38900 at 20% per year for 1 year, compounded every year (in ₹).
5. 5.Which of these is a perfect cube? (a) 39 (b) 31 (c) 27
6. 6.Solve: 9y + 8 = 6y + 35. What is y?
7. 7.A trapezium has parallel sides of 9 cm and 4 cm, and the distance between them is 10 cm. What is its area (in square cm)?
8. 8.Use (a + b)(a − b) = a² − b² to find 26 × 14.
9. 9.Which of these is a perfect square? (a) 1616 (b) 1660 (c) 1600
10. 10.What is the value of 3⁷? =
11. 11.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
12. 12.Use a² − b² = (a + b)(a − b) to find 90² − 9².
13. 13.Use (a − b)² = a² − 2ab + b² to find 11².
14. 14.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
15. 15.Use a² − b² = (a + b)(a − b) to find 41² − 32².
16. 16.Use (a + b)² = a² + 2ab + b² to find 44².
17. 17.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
18. 18.Write 6⁵ × 6² as a single power 6ⁿ. What is n?
19. 19.What is the value of 3⁶ × 3⁻⁵? =
20. 20.A town has 16000 people. The population grows by 10% every year. What will the population be after 3 years?
21. 21.A room is 11 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
22. 22.What is the value of 2³? =
23. 23.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
24. 24.If a + b = 10 and ab = 24, what is a² + b²?
25. 25.What is the difference between the compound interest and the simple interest on ₹50000 at 5% per year for 2 years (in ₹)?
26. 26.What is the value of 3² × 3⁻¹? =
27. 27.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
28. 28.What is 85²? =
29. 29.Write 13,000 in standard form as 1.3 × 10ⁿ. What is n?
30. 30.A cuboid is 13 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
31. 31.What is the value of 2⁴? =
32. 32.Use a² − b² = (a + b)(a − b) to find 71² − 7².
33. 33.What amount will ₹50000 grow to in 2 years at 8% per year compound interest (in ₹)?
34. 34.What is the difference between the compound interest and the simple interest on ₹44000 at 5% per year for 2 years (in ₹)?
35. 35.A cuboid is 5 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
36. 36.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
37. 37.A town has 44500 people. The population grows by 5% every year. What will the population be after 1 year?
38. 38.How many whole numbers lie between 39² and 40²?
39. 39.What is the smallest whole number by which 175 must be divided to get a perfect square?
40. 40.A trapezium has parallel sides of 28 cm and 11 cm, and the distance between them is 12 cm. What is its area (in square cm)?

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