Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 496 · 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 76².
2. 2.A father is 38 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
3. 3.Solve: m/4 + m/6 = 5. What is m?
4. 4.What is the value of 3⁸? =
5. 5.What is the value of 8⁻² (as a fraction)? =
6. 6.Use (a + b)(a − b) = a² − b² to find 52 × 48.
7. 7.What is 74²? =
8. 8.Solve: x/4 + x/3 = 14. What is x?
9. 9.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
10. 10.The sum of two consecutive whole numbers is 21. What is the largest of them?
11. 11.A trapezium has parallel sides of 15 cm and 12 cm, and the distance between them is 18 cm. What is its area (in square cm)?
12. 12.What is the value of 10³ × 10⁻⁶? =
13. 13.How many whole numbers lie between 43² and 44²?
14. 14.Use (a + b)(a − b) = a² − b² to find 35 × 25.
15. 15.What is the smallest whole number by which 108 must be divided to get a perfect cube?
16. 16.What is the value of 3¹ × 3⁻³? =
17. 17.Solve: t/3 + t/6 = 9. What is t?
18. 18.What amount will ₹6100 grow to in 1 year at 20% per year compound interest (in ₹)?
19. 19.A square garden has an area of 1369 square m. How long is each side (in m)?
20. 20.The sum of two consecutive whole numbers is 99. What is the smallest of them?
21. 21.A town has 50300 people. The population grows by 12% every year. What will the population be after 1 year?
22. 22.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?
23. 23.Solve: 3(m − 4) = m + 24. What is m?
24. 24.A cuboid is 14 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
25. 25.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
26. 26.Which of these is a perfect cube? (a) 2686 (b) 2457 (c) 2197
27. 27.A trapezium has parallel sides of 18 cm and 23 cm, and the distance between them is 6 cm. What is its area (in square cm)?
28. 28.Solve: 3(t − 4) = t + 22. What is t?
29. 29.Which of these is a perfect cube? (a) 600 (b) 512 (c) 582
30. 30.Write 3 × 10⁻³ as a decimal. =
31. 31.Use (a − b)² = a² − 2ab + b² to find 29².
32. 32.Write (3²)⁹ as a single power 3ⁿ. What is n?
33. 33.Write 3.5 × 10⁻¹ as a decimal. =
34. 34.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
35. 35.A cuboid is 14 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
36. 36.A town has 38900 people. The population grows by 20% every year. What will the population be after 2 years?
37. 37.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
38. 38.How many whole numbers lie between 44² and 45²?
39. 39.What is the value of 5⁷? =
40. 40.What is the difference between the compound interest and the simple interest on ₹2500 at 12% per year for 2 years (in ₹)?

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