Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 862 · 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 4³? =
2. 2.Write 22,000 in standard form as 2.2 × 10ⁿ. What is n?
3. 3.Write 6⁶ × 6² as a single power 6ⁿ. What is n?
4. 4.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
5. 5.Solve: 3p + 12 = 2p + 27. What is p?
6. 6.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
7. 7.A room is 10 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
8. 8.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
9. 9.What is the difference between the compound interest and the simple interest on ₹17500 at 8% per year for 2 years (in ₹)?
10. 10.What is the difference between the compound interest and the simple interest on ₹53100 at 10% per year for 2 years (in ₹)?
11. 11.Use (a − b)² = a² − 2ab + b² to find 55².
12. 12.A cuboid is 14 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
13. 13.Solve: x/5 + x/6 = 22. What is x?
14. 14.What is the value of 4⁻⁴ (as a fraction)? =
15. 15.Solve: 4(p − 5) = 2p + 26. What is p?
16. 16.What is ∛64? =
17. 17.How many whole numbers lie between 7² and 8²?
18. 18.A trapezium has parallel sides of 27 cm and 13 cm, and the distance between them is 3 cm. What is its area (in square cm)?
19. 19.The diagonals of a rhombus are 22 cm and 13 cm. What is its area (in square cm)?
20. 20.Use (a − b)² = a² − 2ab + b² to find 53².
21. 21.What is 7³? =
22. 22.The diagonals of a rhombus are 30 cm and 16 cm. What is its area (in square cm)?
23. 23.What is 9³? =
24. 24.Write 820 in standard form as 8.2 × 10ⁿ. What is n?
25. 25.Find the compound interest on ₹43100 at 20% per year for 1 year, compounded every year (in ₹).
26. 26.Which of these is a perfect cube? (a) 305 (b) 280 (c) 216
27. 27.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
28. 28.A father is 10 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
29. 29.What amount will ₹10000 grow to in 2 years at 5% per year compound interest (in ₹)?
30. 30.Find the value of x² + 2xy + y² when x = 9 and y = 4.
31. 31.Write (7⁴)³ as a single power 7ⁿ. What is n?
32. 32.The diagonals of a rhombus are 10 cm and 12 cm. What is its area (in square cm)?
33. 33.What is the difference between the compound interest and the simple interest on ₹20000 at 12% per year for 2 years (in ₹)?
34. 34.What is the value of 5⁶? =
35. 35.A father is 57 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
36. 36.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
37. 37.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
38. 38.Find the compound interest on ₹24600 at 20% per year for 2 years, compounded every year (in ₹).
39. 39.What is ∛4913? =
40. 40.Write 3.2 × 10⁻⁴ as a decimal. =

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