Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 606 · 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.Solve: 9t + 17 = t + 25. What is t?
2. 2.What is the smallest whole number by which 56 must be divided to get a perfect cube?
3. 3.What is the difference between the compound interest and the simple interest on ₹14500 at 20% per year for 2 years (in ₹)?
4. 4.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
5. 5.What is the value of 2⁵ × 2⁻⁴? =
6. 6.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
7. 7.A trapezium has parallel sides of 28 cm and 16 cm, and the distance between them is 18 cm. What is its area (in square cm)?
8. 8.A scooter is worth ₹14800. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
9. 9.A trapezium has an area of 88 square cm. Its parallel sides are 9 cm and 13 cm. What is the distance between them (in cm)?
10. 10.A room is 3 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
11. 11.What is the smallest whole number by which 250 must be divided to get a perfect cube?
12. 12.A cuboid is 11 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
13. 13.If a − b = 5 and ab = 6, what is a² + b²?
14. 14.Use (a + b)² = a² + 2ab + b² to find 31².
15. 15.A square garden has an area of 64 square m. How long is each side (in m)?
16. 16.A cuboid is 10 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
17. 17.Solve: 6(p − 3) = 3p + 27. What is p?
18. 18.Solve: m/4 + m/3 = 56. What is m?
19. 19.A father is 39 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
20. 20.A square garden has an area of 576 square m. How long is each side (in m)?
21. 21.What is the value of 2⁻⁵ (as a fraction)? =
22. 22.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
23. 23.Write 4¹¹ ÷ 4⁵ as a single power 4ⁿ. What is n?
24. 24.Solve: 3y + 4 = y + 26. What is y?
25. 25.A trapezium has parallel sides of 13 cm and 25 cm, and the distance between them is 12 cm. What is its area (in square cm)?
26. 26.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
27. 27.What is 16³? =
28. 28.Solve: 8p + 19 = p + 61. What is p?
29. 29.A room is 3 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
30. 30.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
31. 31.A square garden has an area of 3600 square m. How long is each side (in m)?
32. 32.3.1 × 10⁵ =
33. 33.Which of these is a perfect cube? (a) 2227 (b) 2549 (c) 2197
34. 34.What amount will ₹38000 grow to in 2 years at 15% per year compound interest (in ₹)?
35. 35.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
36. 36.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
37. 37.Write 7¹⁶ ÷ 7⁷ as a single power 7ⁿ. What is n?
38. 38.Solve: 9n + 17 = 7n + 41. What is n?
39. 39.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
40. 40.A trapezium has an area of 80 square cm. Its parallel sides are 21 cm and 19 cm. What is the distance between them (in cm)?

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