Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 379 · 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 parallel sides of 17 cm and 18 cm, and the distance between them is 6 cm. What is its area (in square cm)?
2. 2.What amount will ₹38000 grow to in 2 years at 15% per year compound interest (in ₹)?
3. 3.Solve: 8n + 8 = n + 36. What is n?
4. 4.The length of a rectangle is 15 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
5. 5.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
6. 6.Use (a + b)(a − b) = a² − b² to find 27 × 13.
7. 7.What is the value of 5⁻⁴ (as a fraction)? =
8. 8.A trapezium has an area of 80 square cm. Its parallel sides are 30 cm and 10 cm. What is the distance between them (in cm)?
9. 9.How many whole numbers lie between 42² and 43²?
10. 10.What is the difference between the compound interest and the simple interest on ₹48400 at 25% per year for 2 years (in ₹)?
11. 11.The length of a rectangle is 15 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
12. 12.Write 3.9 × 10⁻³ as a decimal. =
13. 13.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
14. 14.How many whole numbers lie between 39² and 40²?
15. 15.Which of these is a perfect square? (a) 271 (b) 256 (c) 284
16. 16.Which of these is a perfect square? (a) 169 (b) 175 (c) 184
17. 17.What is the smallest whole number by which 2 must be divided to get a perfect cube?
18. 18.Use (a + b)(a − b) = a² − b² to find 79 × 61.
19. 19.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
20. 20.Which of these is a perfect square? (a) 491 (b) 484 (c) 515
21. 21.What is the value of 2¹⁰? =
22. 22.The diagonals of a rhombus are 20 cm and 23 cm. What is its area (in square cm)?
23. 23.Write 9.2 × 10⁻³ as a decimal. =
24. 24.A trapezium has parallel sides of 9 cm and 20 cm, and the distance between them is 16 cm. What is its area (in square cm)?
25. 25.The diagonals of a rhombus are 18 cm and 3 cm. What is its area (in square cm)?
26. 26.A room is 3 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
27. 27.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
28. 28.What amount will ₹10200 grow to in 1 year at 25% per year compound interest (in ₹)?
29. 29.Write 7.4 × 10⁻¹ as a decimal. =
30. 30.What is the smallest whole number by which 432 must be divided to get a perfect cube?
31. 31.What amount will ₹40000 grow to in 3 years at 15% per year compound interest (in ₹)?
32. 32.What is the value of 10⁶ × 10⁻⁵? =
33. 33.Solve: p/3 + p/5 = 32. What is p?
34. 34.Use a² − b² = (a + b)(a − b) to find 83² − 4².
35. 35.What is 4³? =
36. 36.Find the value of x² − 2xy + y² when x = 11 and y = 10.
37. 37.Which of these is a perfect cube? (a) 142 (b) 151 (c) 125
38. 38.Use (a + b)² = a² + 2ab + b² to find 78².
39. 39.The sum of two consecutive whole numbers is 35. What is the smallest of them?
40. 40.Use a² − b² = (a + b)(a − b) to find 28² − 4².

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