Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 905 · 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 the difference between the compound interest and the simple interest on ₹13200 at 20% per year for 2 years (in ₹)?
2. 2.Write 7² × 7⁴ as a single power 7ⁿ. What is n?
3. 3.Write 9⁶ × 9⁸ as a single power 9ⁿ. What is n?
4. 4.Write (9⁵)² as a single power 9ⁿ. What is n?
5. 5.A cuboid is 4 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
6. 6.Solve: 5(x − 4) = 2x + 19. What is x?
7. 7.If a − b = 10 and ab = 11, what is a² + b²?
8. 8.A cuboid is 6 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
9. 9.Solve: 5(t − 2) = 2t + 29. What is t?
10. 10.The length of a rectangle is 15 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
11. 11.A trapezium has parallel sides of 23 cm and 7 cm, and the distance between them is 13 cm. What is its area (in square cm)?
12. 12.What is the value of 5⁶? =
13. 13.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
14. 14.Find the value of x² + 2xy + y² when x = 10 and y = 1.
15. 15.Use (a + b)(a − b) = a² − b² to find 106 × 94.
16. 16.What is the difference between the compound interest and the simple interest on ₹30400 at 15% per year for 2 years (in ₹)?
17. 17.The diagonals of a rhombus are 4 cm and 26 cm. What is its area (in square cm)?
18. 18.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
19. 19.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
20. 20.Solve: 6(m − 3) = 4m + 26. What is m?
21. 21.A square garden has an area of 1089 square m. How long is each side (in m)?
22. 22.If a + b = 3 and ab = 2, what is a² + b²?
23. 23.Write (3⁸)⁴ as a single power 3ⁿ. What is n?
24. 24.A father is 24 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
25. 25.How many whole numbers lie between 5² and 6²?
26. 26.A trapezium has an area of 248 square cm. Its parallel sides are 23 cm and 8 cm. What is the distance between them (in cm)?
27. 27.What is 46²? =
28. 28.Which of these is a perfect square? (a) 162 (b) 145 (c) 144
29. 29.A scooter is worth ₹40000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
30. 30.A father is 14 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
31. 31.A room is 6 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
32. 32.What amount will ₹52400 grow to in 1 year at 5% per year compound interest (in ₹)?
33. 33.What is the value of 3¹ × 3⁻⁶? =
34. 34.A cuboid is 14 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
35. 35.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
36. 36.What is the value of 7⁻² (as a fraction)? =
37. 37.What is ∛9261? =
38. 38.Solve: 4(n − 2) = 3n + 3. What is n?
39. 39.Solve: 6t + 17 = 5t + 30. What is t?
40. 40.A trapezium has an area of 126 square cm. Its parallel sides are 26 cm and 2 cm. What is the distance between them (in cm)?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets