Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 848 · 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 ∛1331? =
2. 2.Write 4,20,000 in standard form as 4.2 × 10ⁿ. What is n?
3. 3.Write 1.4 × 10⁻¹ as a decimal. =
4. 4.Write 7⁹ × 7³ as a single power 7ⁿ. What is n?
5. 5.Use (a − b)² = a² − 2ab + b² to find 75².
6. 6.Solve: x/4 + x/2 = 3. What is x?
7. 7.What is √8281? =
8. 8.What is the value of 2⁻⁵ (as a fraction)? =
9. 9.Use (a + b)(a − b) = a² − b² to find 69 × 51.
10. 10.What is √6724? =
11. 11.A square garden has an area of 2304 square m. How long is each side (in m)?
12. 12.A trapezium has parallel sides of 9 cm and 26 cm, and the distance between them is 16 cm. What is its area (in square cm)?
13. 13.What is the value of 4⁻¹ (as a fraction)? =
14. 14.Find the compound interest on ₹8800 at 12% per year for 1 year, compounded every year (in ₹).
15. 15.Solve: p/4 + p/5 = 18. What is p?
16. 16.What is √3969? =
17. 17.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
18. 18.Use (a − b)² = a² − 2ab + b² to find 62².
19. 19.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
20. 20.Write 4,40,00,000 in standard form as 4.4 × 10ⁿ. What is n?
21. 21.Use (a − b)² = a² − 2ab + b² to find 73².
22. 22.A town has 32900 people. The population grows by 8% every year. What will the population be after 1 year?
23. 23.What is √3481? =
24. 24.Which of these is a perfect square? (a) 265 (b) 275 (c) 256
25. 25.What is the difference between the compound interest and the simple interest on ₹57500 at 12% per year for 2 years (in ₹)?
26. 26.What is ∛1000? =
27. 27.What is the value of 3⁵ × 3⁻⁶? =
28. 28.A father is 33 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
29. 29.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
30. 30.Use (a − b)² = a² − 2ab + b² to find 51².
31. 31.What is 47²? =
32. 32.Solve: 3x + 16 = x + 28. What is x?
33. 33.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
34. 34.What is the value of (1/3)⁻¹? =
35. 35.Use a² − b² = (a + b)(a − b) to find 36² − 20².
36. 36.A father is 22 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
37. 37.What is 13³? =
38. 38.Use (a + b)(a − b) = a² − b² to find 108 × 92.
39. 39.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
40. 40.A cuboid is 3 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?

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