Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 427 · 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 value of 2⁶? =
2. 2.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
3. 3.A square garden has an area of 196 square m. How long is each side (in m)?
4. 4.What is the smallest whole number by which 56 must be divided to get a perfect cube?
5. 5.The sum of three consecutive whole numbers is 156. What is the largest of them?
6. 6.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
7. 7.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
8. 8.Use a² − b² = (a + b)(a − b) to find 20² − 6².
9. 9.Solve: x/5 + x/3 = 16. What is x?
10. 10.Use a² − b² = (a + b)(a − b) to find 61² − 5².
11. 11.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
12. 12.Use a² − b² = (a + b)(a − b) to find 27² − 2².
13. 13.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
14. 14.Solve: p/3 + p/6 = 24. What is p?
15. 15.The diagonals of a rhombus are 4 cm and 13 cm. What is its area (in square cm)?
16. 16.Use a² − b² = (a + b)(a − b) to find 38² − 25².
17. 17.What is 74²? =
18. 18.What amount will ₹16000 grow to in 3 years at 5% per year compound interest (in ₹)?
19. 19.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
20. 20.What is the value of (5/6)⁻²? =
21. 21.What is √1089? =
22. 22.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
23. 23.A square garden has an area of 3600 square m. How long is each side (in m)?
24. 24.What is the value of 3⁴? =
25. 25.What is 98²? =
26. 26.Write 150 in standard form as 1.5 × 10ⁿ. What is n?
27. 27.What is the smallest whole number by which 360 must be divided to get a perfect square?
28. 28.The diagonals of a rhombus are 18 cm and 9 cm. What is its area (in square cm)?
29. 29.What is the value of 5³? =
30. 30.Write 6² × 6⁶ as a single power 6ⁿ. What is n?
31. 31.How many whole numbers lie between 17² and 18²?
32. 32.What is 6³? =
33. 33.Use (a + b)² = a² + 2ab + b² to find 13².
34. 34.Use a² − b² = (a + b)(a − b) to find 92² − 45².
35. 35.A trapezium has parallel sides of 22 cm and 28 cm, and the distance between them is 13 cm. What is its area (in square cm)?
36. 36.What amount will ₹16600 grow to in 2 years at 10% per year compound interest (in ₹)?
37. 37.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
38. 38.A father is 12 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
39. 39.Which of these is a perfect square? (a) 177 (b) 169 (c) 172
40. 40.Use (a + b)² = a² + 2ab + b² to find 51².

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