Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 196 · 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 1944 must be multiplied to get a perfect cube?
2. 2.Find the value of x² − 2xy + y² when x = 14 and y = 1.
3. 3.Write 5.3 × 10⁻² as a decimal. =
4. 4.What is the value of 2⁵? =
5. 5.A scooter is worth ₹12500. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
6. 6.What is the smallest whole number by which 175 must be divided to get a perfect square?
7. 7.What is 18³? =
8. 8.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
9. 9.What amount will ₹7800 grow to in 1 year at 4% per year compound interest (in ₹)?
10. 10.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
11. 11.What is 79²? =
12. 12.Write 4⁵ × 4⁸ as a single power 4ⁿ. What is n?
13. 13.The diagonals of a rhombus are 4 cm and 14 cm. What is its area (in square cm)?
14. 14.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
15. 15.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
16. 16.A trapezium has an area of 30 square cm. Its parallel sides are 6 cm and 4 cm. What is the distance between them (in cm)?
17. 17.Use (a − b)² = a² − 2ab + b² to find 62².
18. 18.What is √9216? =
19. 19.Use (a + b)(a − b) = a² − b² to find 54 × 46.
20. 20.A trapezium has an area of 60 square cm. Its parallel sides are 4 cm and 16 cm. What is the distance between them (in cm)?
21. 21.What is the value of 2¹⁴? =
22. 22.A square garden has an area of 169 square m. How long is each side (in m)?
23. 23.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
24. 24.Which of these is a perfect square? (a) 169 (b) 170 (c) 191
25. 25.The sum of two consecutive whole numbers is 71. What is the smallest of them?
26. 26.A cuboid is 4 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
27. 27.Use (a − b)² = a² − 2ab + b² to find 29².
28. 28.A room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
29. 29.What is the value of 4²? =
30. 30.What is the smallest whole number by which 126 must be multiplied to get a perfect square?
31. 31.What is ∛64? =
32. 32.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
33. 33.The diagonals of a rhombus are 16 cm and 20 cm. What is its area (in square cm)?
34. 34.Solve: 9t + 4 = 8t + 18. What is t?
35. 35.A town has 8300 people. The population grows by 4% every year. What will the population be after 1 year?
36. 36.The diagonals of a rhombus are 8 cm and 4 cm. What is its area (in square cm)?
37. 37.How many whole numbers lie between 16² and 17²?
38. 38.Write (9⁵)⁴ as a single power 9ⁿ. What is n?
39. 39.What is 22²? =
40. 40.Find the compound interest on ₹16000 at 10% per year for 3 years, compounded every year (in ₹).

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