Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 242 · 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) 680 (b) 719 (c) 676
2. 2.What is the difference between the compound interest and the simple interest on ₹13100 at 20% per year for 2 years (in ₹)?
3. 3.The length of a rectangle is 7 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
4. 4.What is the value of 10⁻¹ (as a fraction)? =
5. 5.Which of these is a perfect cube? (a) 3166 (b) 2744 (c) 2859
6. 6.3.1 × 10³ =
7. 7.What is the value of 5⁷? =
8. 8.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
9. 9.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
10. 10.What is 76²? =
11. 11.What is the smallest whole number by which 4 must be divided to get a perfect cube?
12. 12.What is 3³? =
13. 13.Find the value of x² + 2xy + y² when x = 13 and y = 5.
14. 14.What is the value of 10⁻³ (as a fraction)? =
15. 15.If a + b = 3 and ab = 2, what is a² + b²?
16. 16.What is 20²? =
17. 17.Write (5⁴)⁷ as a single power 5ⁿ. What is n?
18. 18.Solve: y/4 + y/6 = 40. What is y?
19. 19.What is the value of (2/3)⁻¹? =
20. 20.What is the difference between the compound interest and the simple interest on ₹4800 at 5% per year for 2 years (in ₹)?
21. 21.A trapezium has an area of 30 square cm. Its parallel sides are 14 cm and 16 cm. What is the distance between them (in cm)?
22. 22.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
23. 23.Write 2⁹ ÷ 2² as a single power 2ⁿ. What is n?
24. 24.Find the compound interest on ₹24800 at 5% per year for 2 years, compounded every year (in ₹).
25. 25.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
26. 26.A cuboid is 11 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
27. 27.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
28. 28.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
29. 29.Find the compound interest on ₹3400 at 20% per year for 1 year, compounded every year (in ₹).
30. 30.What is the smallest whole number by which 504 must be divided to get a perfect square?
31. 31.Use (a + b)² = a² + 2ab + b² to find 101².
32. 32.A town has 32000 people. The population grows by 20% every year. What will the population be after 1 year?
33. 33.Solve: 7p + 12 = 4p + 21. What is p?
34. 34.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
35. 35.What is the value of 3⁴? =
36. 36.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
37. 37.Find the compound interest on ₹60000 at 4% per year for 2 years, compounded every year (in ₹).
38. 38.The sum of four consecutive whole numbers is 198. What is the smallest of them?
39. 39.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
40. 40.A father is 24 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?

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