Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 931 · 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 father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
2. 2.A square garden has an area of 169 square m. How long is each side (in m)?
3. 3.A trapezium has parallel sides of 22 cm and 27 cm, and the distance between them is 2 cm. What is its area (in square cm)?
4. 4.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
5. 5.Find the compound interest on ₹54200 at 10% per year for 2 years, compounded every year (in ₹).
6. 6.What amount will ₹26800 grow to in 1 year at 25% per year compound interest (in ₹)?
7. 7.What is 54²? =
8. 8.What is 11³? =
9. 9.Write 22,000 in standard form as 2.2 × 10ⁿ. What is n?
10. 10.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
11. 11.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
12. 12.The length of a rectangle is 13 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
13. 13.Write 8.9 × 10⁻² as a decimal. =
14. 14.What is 17³? =
15. 15.A room is 9 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
16. 16.A room is 11 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
17. 17.Find the value of x² + 2xy + y² when x = 14 and y = 1.
18. 18.Find the compound interest on ₹9200 at 15% per year for 2 years, compounded every year (in ₹).
19. 19.Write 2.3 × 10⁻³ as a decimal. =
20. 20.Write (8⁸)³ as a single power 8ⁿ. What is n?
21. 21.How many whole numbers lie between 19² and 20²?
22. 22.Solve: x/5 + x/4 = 54. What is x?
23. 23.Write 8.8 × 10⁻² as a decimal. =
24. 24.A trapezium has an area of 66 square cm. Its parallel sides are 5 cm and 7 cm. What is the distance between them (in cm)?
25. 25.Which of these is a perfect cube? (a) 918 (b) 755 (c) 729
26. 26.Write 8.1 × 10⁻¹ as a decimal. =
27. 27.The length of a rectangle is 12 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
28. 28.Write 37,000 in standard form as 3.7 × 10ⁿ. What is n?
29. 29.Solve: 7p + 20 = 5p + 28. What is p?
30. 30.What is the smallest whole number by which 320 must be multiplied to get a perfect square?
31. 31.What is the value of 10⁴? =
32. 32.Find the compound interest on ₹2200 at 4% per year for 1 year, compounded every year (in ₹).
33. 33.Which of these is a perfect square? (a) 563 (b) 548 (c) 529
34. 34.What is the value of 3³ × 3⁻¹? =
35. 35.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
36. 36.What is ∛2197? =
37. 37.Use a² − b² = (a + b)(a − b) to find 27² − 25².
38. 38.What is the value of 2⁴ × 2⁻⁵? =
39. 39.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
40. 40.What is the value of (1/3)⁻²? =

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