Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 996 · 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 ∛15625? =
2. 2.Write 82,00,000 in standard form as 8.2 × 10ⁿ. What is n?
3. 3.What amount will ₹40000 grow to in 3 years at 15% per year compound interest (in ₹)?
4. 4.The diagonals of a rhombus are 14 cm and 12 cm. What is its area (in square cm)?
5. 5.A cuboid is 12 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
6. 6.The sum of two consecutive whole numbers is 61. What is the smallest of them?
7. 7.What is the difference between the compound interest and the simple interest on ₹8800 at 5% per year for 2 years (in ₹)?
8. 8.What is 4³? =
9. 9.Write 3⁷ × 3⁷ as a single power 3ⁿ. What is n?
10. 10.What is the value of (1/6)⁻¹? =
11. 11.What is √144? =
12. 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
13. 13.Find the value of x² + 2xy + y² when x = 6 and y = 3.
14. 14.Write 9.9 × 10⁻¹ as a decimal. =
15. 15.Use a² − b² = (a + b)(a − b) to find 85² − 43².
16. 16.A cuboid is 12 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
17. 17.Write 8² × 8⁴ as a single power 8ⁿ. What is n?
18. 18.7.3 × 10² =
19. 19.What is 20²? =
20. 20.What is the smallest whole number by which 126 must be multiplied to get a perfect square?
21. 21.Write 7.9 × 10⁻³ as a decimal. =
22. 22.Write 61,000 in standard form as 6.1 × 10ⁿ. What is n?
23. 23.Solve: 3(x − 1) = 2x + 13. What is x?
24. 24.5.5 × 10⁵ =
25. 25.What amount will ₹31400 grow to in 1 year at 15% per year compound interest (in ₹)?
26. 26.Write 2.4 × 10⁻¹ as a decimal. =
27. 27.Solve: 3y + 6 = y + 14. What is y?
28. 28.Find the compound interest on ₹39600 at 25% per year for 2 years, compounded every year (in ₹).
29. 29.What is the value of 5⁴ × 5⁻³? =
30. 30.If a + b = 6 and ab = 8, what is a² + b²?
31. 31.A room is 12 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
32. 32.Use (a − b)² = a² − 2ab + b² to find 47².
33. 33.The sum of two consecutive whole numbers is 117. What is the largest of them?
34. 34.What is the value of 2⁹? =
35. 35.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
36. 36.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
37. 37.Use a² − b² = (a + b)(a − b) to find 93² − 63².
38. 38.Use a² − b² = (a + b)(a − b) to find 92² − 29².
39. 39.The length of a rectangle is 6 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
40. 40.What amount will ₹23500 grow to in 3 years at 20% per year compound interest (in ₹)?

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