Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 482 · 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 (a − b)² = a² − 2ab + b² to find 54².
2. 2.The length of a rectangle is 13 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
3. 3.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
4. 4.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
5. 5.Write 6.4 × 10⁻² as a decimal. =
6. 6.Solve: p/4 + p/6 = 15. What is p?
7. 7.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
8. 8.A trapezium has an area of 224 square cm. Its parallel sides are 23 cm and 9 cm. What is the distance between them (in cm)?
9. 9.Which of these is a perfect square? (a) 1358 (b) 1302 (c) 1296
10. 10.What is the value of 10² × 10⁻²? =
11. 11.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
12. 12.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
13. 13.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
14. 14.What is the difference between the compound interest and the simple interest on ₹45000 at 8% per year for 2 years (in ₹)?
15. 15.What is the value of 2⁻⁴ (as a fraction)? =
16. 16.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
17. 17.What is the difference between the compound interest and the simple interest on ₹31400 at 10% per year for 2 years (in ₹)?
18. 18.What is the difference between the compound interest and the simple interest on ₹42400 at 5% per year for 2 years (in ₹)?
19. 19.What is the smallest whole number by which 640 must be divided to get a perfect square?
20. 20.Write (3⁵)² as a single power 3ⁿ. What is n?
21. 21.Find the value of x² + 2xy + y² when x = 6 and y = 2.
22. 22.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
23. 23.What is the value of 8²? =
24. 24.Solve: 5(n − 1) = 3n + 7. What is n?
25. 25.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
26. 26.A trapezium has an area of 96 square cm. Its parallel sides are 12 cm and 20 cm. What is the distance between them (in cm)?
27. 27.What is the value of 10⁴ × 10⁻²? =
28. 28.What amount will ₹49600 grow to in 1 year at 5% per year compound interest (in ₹)?
29. 29.What is the value of 10⁵ × 10⁻⁶? =
30. 30.A trapezium has an area of 75 square cm. Its parallel sides are 10 cm and 5 cm. What is the distance between them (in cm)?
31. 31.Write 46,000 in standard form as 4.6 × 10ⁿ. What is n?
32. 32.The sum of two consecutive whole numbers is 31. What is the largest of them?
33. 33.A trapezium has an area of 297 square cm. Its parallel sides are 24 cm and 30 cm. What is the distance between them (in cm)?
34. 34.What is the value of (1/5)⁻¹? =
35. 35.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
36. 36.What is ∛12167? =
37. 37.Find the compound interest on ₹60000 at 15% per year for 2 years, compounded every year (in ₹).
38. 38.What is the value of 2¹³? =
39. 39.The length of a rectangle is 3 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
40. 40.What is √576? =

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