Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 615 · 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 cuboid is 15 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
2. 2.A town has 54400 people. The population grows by 25% every year. What will the population be after 3 years?
3. 3.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
4. 4.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
5. 5.The length of a rectangle is 7 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
6. 6.What is √625? =
7. 7.Use (a + b)(a − b) = a² − b² to find 35 × 25.
8. 8.Write 6¹¹ ÷ 6⁸ as a single power 6ⁿ. What is n?
9. 9.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
10. 10.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
11. 11.The sum of three consecutive whole numbers is 159. What is the smallest of them?
12. 12.What is √4356? =
13. 13.What amount will ₹18800 grow to in 2 years at 25% per year compound interest (in ₹)?
14. 14.The sum of four consecutive whole numbers is 106. What is the largest of them?
15. 15.If a + b = 13 and ab = 40, what is a² + b²?
16. 16.If a + b = 5 and ab = 4, what is a² + b²?
17. 17.What is the value of (1/2)⁻¹? =
18. 18.The length of a rectangle is 8 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
19. 19.A father is 8 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?
20. 20.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
21. 21.What is the difference between the compound interest and the simple interest on ₹9600 at 20% per year for 2 years (in ₹)?
22. 22.What is the difference between the compound interest and the simple interest on ₹8400 at 20% per year for 2 years (in ₹)?
23. 23.What is the value of 2⁻² (as a fraction)? =
24. 24.Find the value of x² − y² when x = 11 and y = 8.
25. 25.A father is 45 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
26. 26.What is the smallest whole number by which 325 must be multiplied to get a perfect square?
27. 27.A room is 6 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
28. 28.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
29. 29.Solve: 3(p − 3) = p + 23. What is p?
30. 30.A room is 10 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
31. 31.How many whole numbers lie between 24² and 25²?
32. 32.Find the compound interest on ₹26200 at 25% per year for 1 year, compounded every year (in ₹).
33. 33.The diagonals of a rhombus are 6 cm and 6 cm. What is its area (in square cm)?
34. 34.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
35. 35.What amount will ₹52000 grow to in 2 years at 25% per year compound interest (in ₹)?
36. 36.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
37. 37.What is the value of 3⁻² (as a fraction)? =
38. 38.Solve: 8m + 7 = 4m + 55. What is m?
39. 39.2.7 × 10⁴ =
40. 40.A cuboid is 12 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?

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