Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 367 · 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 98²? =
2. 2.Use (a + b)² = a² + 2ab + b² to find 46².
3. 3.What is the smallest whole number by which 375 must be divided to get a perfect cube?
4. 4.What is 15³? =
5. 5.Use (a + b)² = a² + 2ab + b² to find 29².
6. 6.A town has 40000 people. The population grows by 10% every year. What will the population be after 3 years?
7. 7.Solve: 5(y − 5) = 2y + 14. What is y?
8. 8.A town has 12300 people. The population grows by 10% every year. What will the population be after 1 year?
9. 9.Use (a + b)(a − b) = a² − b² to find 42 × 38.
10. 10.Write 6⁵ × 6² as a single power 6ⁿ. What is n?
11. 11.What is 13³? =
12. 12.What is the difference between the compound interest and the simple interest on ₹6600 at 10% per year for 2 years (in ₹)?
13. 13.A town has 60000 people. The population grows by 12% every year. What will the population be after 2 years?
14. 14.If a + b = 5 and ab = 4, what is a² + b²?
15. 15.Use (a + b)(a − b) = a² − b² to find 59 × 41.
16. 16.A room is 11 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
17. 17.Write 5.9 × 10⁻² as a decimal. =
18. 18.Solve: 4(p − 1) = 2p + 2. What is p?
19. 19.Solve: 9t + 18 = 4t + 93. What is t?
20. 20.Find the value of x² + 2xy + y² when x = 8 and y = 5.
21. 21.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
22. 22.Which of these is a perfect cube? (a) 216 (b) 278 (c) 295
23. 23.What is ∛729? =
24. 24.A trapezium has an area of 261 square cm. Its parallel sides are 8 cm and 21 cm. What is the distance between them (in cm)?
25. 25.What is √2809? =
26. 26.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
27. 27.How many whole numbers lie between 27² and 28²?
28. 28.If a + b = 11 and ab = 24, what is a² + b²?
29. 29.What is the difference between the compound interest and the simple interest on ₹55000 at 12% per year for 2 years (in ₹)?
30. 30.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
31. 31.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
32. 32.The diagonals of a rhombus are 20 cm and 26 cm. What is its area (in square cm)?
33. 33.What is the value of 6⁵? =
34. 34.A trapezium has parallel sides of 21 cm and 12 cm, and the distance between them is 2 cm. What is its area (in square cm)?
35. 35.How many whole numbers lie between 5² and 6²?
36. 36.A town has 40000 people. The population grows by 15% every year. What will the population be after 3 years?
37. 37.What is the difference between the compound interest and the simple interest on ₹25800 at 10% per year for 2 years (in ₹)?
38. 38.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
39. 39.Find the value of x² + 2xy + y² when x = 5 and y = 4.
40. 40.If a − b = 4 and ab = 60, what is a² + b²?

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