Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 961 · 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 trapezium has parallel sides of 29 cm and 8 cm, and the distance between them is 10 cm. What is its area (in square cm)?
2. 2.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
3. 3.What is the value of 5⁴ × 5⁻⁵? =
4. 4.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
5. 5.What is the difference between the compound interest and the simple interest on ₹48400 at 5% per year for 2 years (in ₹)?
6. 6.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
7. 7.Write 2.2 × 10⁻⁴ as a decimal. =
8. 8.What is ∛12167? =
9. 9.Use (a − b)² = a² − 2ab + b² to find 36².
10. 10.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
11. 11.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
12. 12.How many whole numbers lie between 6² and 7²?
13. 13.Write 4.9 × 10⁻³ as a decimal. =
14. 14.Which of these is a perfect cube? (a) 2893 (b) 3250 (c) 2744
15. 15.Find the value of x² + 2xy + y² when x = 11 and y = 5.
16. 16.Solve: 6(y − 3) = 2y + 38. What is y?
17. 17.What is the difference between the compound interest and the simple interest on ₹7500 at 4% per year for 2 years (in ₹)?
18. 18.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
19. 19.What is the value of 10³ × 10⁻³? =
20. 20.Use a² − b² = (a + b)(a − b) to find 43² − 7².
21. 21.What is the value of 2⁶ × 2⁻²? =
22. 22.Which of these is a perfect square? (a) 231 (b) 240 (c) 225
23. 23.What is the difference between the compound interest and the simple interest on ₹52500 at 4% per year for 2 years (in ₹)?
24. 24.Find the compound interest on ₹52000 at 10% per year for 3 years, compounded every year (in ₹).
25. 25.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
26. 26.How many whole numbers lie between 37² and 38²?
27. 27.If a + b = 13 and ab = 22, what is a² + b²?
28. 28.What is the difference between the compound interest and the simple interest on ₹32100 at 10% per year for 2 years (in ₹)?
29. 29.What is 29²? =
30. 30.Solve: 8y + 3 = 4y + 39. What is y?
31. 31.What is the smallest whole number by which 5 must be divided to get a perfect cube?
32. 32.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
33. 33.Find the compound interest on ₹16700 at 15% per year for 1 year, compounded every year (in ₹).
34. 34.Solve: 5(m − 1) = 3m + 1. What is m?
35. 35.If a + b = 4 and ab = 3, what is a² + b²?
36. 36.Write 4,70,00,000 in standard form as 4.7 × 10ⁿ. What is n?
37. 37.What is the smallest whole number by which 147 must be divided to get a perfect square?
38. 38.What is √196? =
39. 39.Solve: 7p + 14 = 3p + 26. What is p?
40. 40.What is the value of 10²? =

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