Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 850 · 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 a² − b² = (a + b)(a − b) to find 62² − 26².
2. 2.What amount will ₹30800 grow to in 1 year at 12% per year compound interest (in ₹)?
3. 3.Use (a + b)(a − b) = a² − b² to find 34 × 26.
4. 4.A father is 7 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
5. 5.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
6. 6.Use a² − b² = (a + b)(a − b) to find 67² − 53².
7. 7.Write 1,40,000 in standard form as 1.4 × 10ⁿ. What is n?
8. 8.A scooter is worth ₹42800. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
9. 9.What is the value of 8⁻¹ (as a fraction)? =
10. 10.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
11. 11.What is the difference between the compound interest and the simple interest on ₹46000 at 15% per year for 2 years (in ₹)?
12. 12.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
13. 13.Write 610 in standard form as 6.1 × 10ⁿ. What is n?
14. 14.How many whole numbers lie between 26² and 27²?
15. 15.What amount will ₹12500 grow to in 2 years at 4% per year compound interest (in ₹)?
16. 16.Solve: 7p + 5 = 5p + 27. What is p?
17. 17.The sum of four consecutive whole numbers is 30. What is the smallest of them?
18. 18.What is the smallest whole number by which 392 must be divided to get a perfect cube?
19. 19.What amount will ₹36000 grow to in 2 years at 5% per year compound interest (in ₹)?
20. 20.What is 81²? =
21. 21.What is the smallest whole number by which 50 must be multiplied to get a perfect square?
22. 22.Solve: 5(m − 1) = 2m + 13. What is m?
23. 23.Write 8 × 10⁻⁴ as a decimal. =
24. 24.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
25. 25.Write 2⁴ × 2³ as a single power 2ⁿ. What is n?
26. 26.Find the compound interest on ₹54400 at 25% per year for 3 years, compounded every year (in ₹).
27. 27.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
28. 28.What is ∛1000? =
29. 29.What is 3³? =
30. 30.How many whole numbers lie between 19² and 20²?
31. 31.Write 4.5 × 10⁻¹ as a decimal. =
32. 32.Use a² − b² = (a + b)(a − b) to find 51² − 8².
33. 33.What is the value of 2⁶ × 2⁻⁶? =
34. 34.What is the difference between the compound interest and the simple interest on ₹5600 at 15% per year for 2 years (in ₹)?
35. 35.The length of a rectangle is 11 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
36. 36.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
37. 37.Which of these is a perfect cube? (a) 1020 (b) 1000 (c) 1176
38. 38.Use a² − b² = (a + b)(a − b) to find 67² − 50².
39. 39.Use (a + b)(a − b) = a² − b² to find 107 × 93.
40. 40.A trapezium has parallel sides of 25 cm and 20 cm, and the distance between them is 4 cm. What is its area (in square cm)?

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