Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 820 · 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.Use (a + b)² = a² + 2ab + b² to find 78².
2. 2.Use a² − b² = (a + b)(a − b) to find 24² − 7².
3. 3.What amount will ₹28800 grow to in 1 year at 8% per year compound interest (in ₹)?
4. 4.What is ∛8000? =
5. 5.What is the value of 5⁵? =
6. 6.What is the smallest whole number by which 250 must be divided to get a perfect cube?
7. 7.What is the value of 7³? =
8. 8.Solve: x/2 + x/3 = 10. What is x?
9. 9.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
10. 10.Use (a − b)² = a² − 2ab + b² to find 46².
11. 11.How many whole numbers lie between 24² and 25²?
12. 12.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
13. 13.The length of a rectangle is 5 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
14. 14.A cuboid is 6 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
15. 15.A scooter is worth ₹8800. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
16. 16.What is 52²? =
17. 17.What is the smallest whole number by which 735 must be divided to get a perfect square?
18. 18.What is 16³? =
19. 19.A room is 9 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
20. 20.Which of these is a perfect cube? (a) 3375 (b) 3995 (c) 3392
21. 21.What amount will ₹57000 grow to in 3 years at 20% per year compound interest (in ₹)?
22. 22.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
23. 23.Write (6³)² as a single power 6ⁿ. What is n?
24. 24.What is the value of 8³? =
25. 25.Find the value of x² − y² when x = 6 and y = 3.
26. 26.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
27. 27.Use a² − b² = (a + b)(a − b) to find 55² − 39².
28. 28.The diagonals of a rhombus are 4 cm and 16 cm. What is its area (in square cm)?
29. 29.Find the compound interest on ₹24000 at 15% per year for 1 year, compounded every year (in ₹).
30. 30.What is the smallest whole number by which 1053 must be multiplied to get a perfect square?
31. 31.What is the value of 10¹ × 10⁻⁶? =
32. 32.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
33. 33.Write 5,300 in standard form as 5.3 × 10ⁿ. What is n?
34. 34.The sum of four consecutive whole numbers is 34. What is the smallest of them?
35. 35.The diagonals of a rhombus are 26 cm and 9 cm. What is its area (in square cm)?
36. 36.Write 4.2 × 10⁻¹ as a decimal. =
37. 37.The diagonals of a rhombus are 8 cm and 10 cm. What is its area (in square cm)?
38. 38.8.7 × 10⁴ =
39. 39.Solve: 3(y − 1) = y + 21. What is y?
40. 40.What amount will ₹27500 grow to in 2 years at 4% per year compound interest (in ₹)?

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