Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 175 · 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 24 must be multiplied to get a perfect cube?
2. 2.Find the value of x² + 2xy + y² when x = 10 and y = 5.
3. 3.What is the value of 4⁶? =
4. 4.2.5 × 10⁷ =
5. 5.Use (a + b)(a − b) = a² − b² to find 107 × 93.
6. 6.If a + b = 3 and ab = 2, what is a² + b²?
7. 7.If a − b = 2 and ab = 3, what is a² + b²?
8. 8.What is 6³? =
9. 9.The sum of two consecutive whole numbers is 115. What is the largest of them?
10. 10.Find the compound interest on ₹40000 at 4% per year for 2 years, compounded every year (in ₹).
11. 11.Use (a + b)(a − b) = a² − b² to find 72 × 68.
12. 12.A father is 32 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
13. 13.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
14. 14.The diagonals of a rhombus are 4 cm and 14 cm. What is its area (in square cm)?
15. 15.What is ∛13824? =
16. 16.Write (3⁴)⁶ as a single power 3ⁿ. What is n?
17. 17.Write 6.6 × 10⁻⁴ as a decimal. =
18. 18.Which of these is a perfect square? (a) 1089 (b) 1141 (c) 1104
19. 19.Use (a − b)² = a² − 2ab + b² to find 39².
20. 20.Solve: x/2 + x/3 = 35. What is x?
21. 21.Find the value of x² + 2xy + y² when x = 6 and y = 4.
22. 22.What is the difference between the compound interest and the simple interest on ₹25000 at 4% per year for 2 years (in ₹)?
23. 23.Which of these is a perfect cube? (a) 315 (b) 216 (c) 266
24. 24.A room is 10 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
25. 25.What is the smallest whole number by which 1134 must be divided to get a perfect square?
26. 26.A cuboid is 6 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
27. 27.2.4 × 10⁵ =
28. 28.Find the compound interest on ₹10000 at 20% per year for 3 years, compounded every year (in ₹).
29. 29.Solve: m/2 + m/5 = 42. What is m?
30. 30.A trapezium has an area of 161 square cm. Its parallel sides are 12 cm and 11 cm. What is the distance between them (in cm)?
31. 31.A town has 7000 people. The population grows by 10% every year. What will the population be after 2 years?
32. 32.Solve: 3(m − 3) = 2m + 10. What is m?
33. 33.Find the value of x² − 2xy + y² when x = 5 and y = 1.
34. 34.Write 5.5 × 10⁻³ as a decimal. =
35. 35.Use (a − b)² = a² − 2ab + b² to find 98².
36. 36.What is ∛4913? =
37. 37.What is 16³? =
38. 38.How many whole numbers lie between 31² and 32²?
39. 39.A trapezium has parallel sides of 13 cm and 14 cm, and the distance between them is 14 cm. What is its area (in square cm)?
40. 40.What is the value of (8/9)⁻²? =

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