Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 378 · 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 an area of 54 square cm. Its parallel sides are 19 cm and 8 cm. What is the distance between them (in cm)?
2. 2.What is the difference between the compound interest and the simple interest on ₹56000 at 20% per year for 2 years (in ₹)?
3. 3.Solve: n/4 + n/3 = 14. What is n?
4. 4.Solve: 7x + 6 = 4x + 9. What is x?
5. 5.A cuboid is 5 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
6. 6.Write 2⁴ × 2³ as a single power 2ⁿ. What is n?
7. 7.Solve: 3(x − 2) = 2x + 8. What is x?
8. 8.What is the difference between the compound interest and the simple interest on ₹53200 at 5% per year for 2 years (in ₹)?
9. 9.What is the smallest whole number by which 252 must be divided to get a perfect square?
10. 10.What amount will ₹31000 grow to in 3 years at 10% per year compound interest (in ₹)?
11. 11.What is 9³? =
12. 12.Solve: p/3 + p/4 = 56. What is p?
13. 13.3.9 × 10³ =
14. 14.What is the value of (7/8)⁻²? =
15. 15.What is the value of 9³? =
16. 16.Write 7.6 × 10⁻³ as a decimal. =
17. 17.What amount will ₹24000 grow to in 3 years at 15% per year compound interest (in ₹)?
18. 18.Find the compound interest on ₹32000 at 15% per year for 3 years, compounded every year (in ₹).
19. 19.Use a² − b² = (a + b)(a − b) to find 22² − 11².
20. 20.Use (a + b)² = a² + 2ab + b² to find 72².
21. 21.A square garden has an area of 289 square m. How long is each side (in m)?
22. 22.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
23. 23.What amount will ₹55900 grow to in 2 years at 10% per year compound interest (in ₹)?
24. 24.Solve: 3(x − 1) = 2x + 2. What is x?
25. 25.What is the difference between the compound interest and the simple interest on ₹10800 at 20% per year for 2 years (in ₹)?
26. 26.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
27. 27.Use (a + b)² = a² + 2ab + b² to find 19².
28. 28.What is the value of 10⁴? =
29. 29.If a + b = 5 and ab = 4, what is a² + b²?
30. 30.Find the value of x² − y² when x = 12 and y = 11.
31. 31.A square garden has an area of 1369 square m. How long is each side (in m)?
32. 32.What is the value of 3³? =
33. 33.Which of these is a perfect cube? (a) 1000 (b) 1288 (c) 1007
34. 34.Use (a + b)(a − b) = a² − b² to find 38 × 22.
35. 35.The sum of two consecutive whole numbers is 89. What is the smallest of them?
36. 36.Solve: 8t + 7 = 2t + 55. What is t?
37. 37.What is the value of 10³? =
38. 38.A cuboid is 12 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
39. 39.Write 9⁵ ÷ 9³ as a single power 9ⁿ. What is n?
40. 40.Write 3.9 × 10⁻⁴ as a decimal. =

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