Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 195 · 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.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
2. 2.Find the value of x² + 2xy + y² when x = 11 and y = 1.
3. 3.Find the compound interest on ₹53800 at 10% per year for 2 years, compounded every year (in ₹).
4. 4.Use a² − b² = (a + b)(a − b) to find 24² − 8².
5. 5.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
6. 6.A cuboid is 7 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
7. 7.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
8. 8.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
9. 9.The sum of three consecutive whole numbers is 99. What is the largest of them?
10. 10.Use (a − b)² = a² − 2ab + b² to find 33².
11. 11.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
12. 12.What amount will ₹8400 grow to in 2 years at 25% per year compound interest (in ₹)?
13. 13.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
14. 14.Use a² − b² = (a + b)(a − b) to find 43² − 20².
15. 15.What is the value of 6⁻² (as a fraction)? =
16. 16.Solve: 6p + 4 = 3p + 28. What is p?
17. 17.What is 8³? =
18. 18.A trapezium has an area of 168 square cm. Its parallel sides are 17 cm and 11 cm. What is the distance between them (in cm)?
19. 19.A cuboid is 3 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
20. 20.The length of a rectangle is 8 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
21. 21.Write 8.3 × 10⁻⁴ as a decimal. =
22. 22.If a + b = 12 and ab = 20, what is a² + b²?
23. 23.A town has 23500 people. The population grows by 20% every year. What will the population be after 3 years?
24. 24.A father is 28 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
25. 25.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
26. 26.A square garden has an area of 3481 square m. How long is each side (in m)?
27. 27.Find the value of x² + 2xy + y² when x = 9 and y = 4.
28. 28.Find the compound interest on ₹48000 at 10% per year for 3 years, compounded every year (in ₹).
29. 29.What is the difference between the compound interest and the simple interest on ₹21000 at 20% per year for 2 years (in ₹)?
30. 30.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
31. 31.A square garden has an area of 625 square m. How long is each side (in m)?
32. 32.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
33. 33.What is the value of 5² × 5⁻¹? =
34. 34.What is the value of 3⁴? =
35. 35.Which of these is a perfect cube? (a) 1256 (b) 1086 (c) 1000
36. 36.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
37. 37.A square garden has an area of 49 square m. How long is each side (in m)?
38. 38.Use a² − b² = (a + b)(a − b) to find 90² − 42².
39. 39.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
40. 40.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?

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