Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 815 · 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.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
2. 2.Write 43,000 in standard form as 4.3 × 10ⁿ. What is n?
3. 3.What is 4³? =
4. 4.What is the value of 2⁶? =
5. 5.Use (a + b)(a − b) = a² − b² to find 53 × 47.
6. 6.What is the value of 2⁶ × 2⁻⁵? =
7. 7.What amount will ₹48500 grow to in 1 year at 25% per year compound interest (in ₹)?
8. 8.What is the difference between the compound interest and the simple interest on ₹9600 at 25% per year for 2 years (in ₹)?
9. 9.A scooter is worth ₹10800. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
10. 10.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
11. 11.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
12. 12.What amount will ₹52400 grow to in 2 years at 5% per year compound interest (in ₹)?
13. 13.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
14. 14.What is √2304? =
15. 15.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
16. 16.What is 2³? =
17. 17.3.4 × 10³ =
18. 18.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
19. 19.What is 45²? =
20. 20.A cuboid is 13 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
21. 21.What is the value of (1/7)⁻²? =
22. 22.What is 6³? =
23. 23.What is ∛10648? =
24. 24.Write 1.8 × 10⁻¹ as a decimal. =
25. 25.What is the smallest whole number by which 875 must be divided to get a perfect cube?
26. 26.What amount will ₹2800 grow to in 2 years at 5% per year compound interest (in ₹)?
27. 27.Use a² − b² = (a + b)(a − b) to find 89² − 17².
28. 28.What is the value of 7²? =
29. 29.Find the compound interest on ₹16000 at 5% per year for 3 years, compounded every year (in ₹).
30. 30.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
31. 31.What is the smallest whole number by which 125 must be multiplied to get a perfect square?
32. 32.A square garden has an area of 400 square m. How long is each side (in m)?
33. 33.What is the difference between the compound interest and the simple interest on ₹38000 at 15% per year for 2 years (in ₹)?
34. 34.What is the value of 3⁴ × 3⁻⁶? =
35. 35.A trapezium has parallel sides of 26 cm and 24 cm, and the distance between them is 17 cm. What is its area (in square cm)?
36. 36.The length of a rectangle is 8 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
37. 37.What is the difference between the compound interest and the simple interest on ₹29900 at 10% per year for 2 years (in ₹)?
38. 38.A town has 27200 people. The population grows by 25% every year. What will the population be after 3 years?
39. 39.Find the value of x² − y² when x = 14 and y = 3.
40. 40.What is ∛13824? =

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