Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 333 · 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: 3(p − 4) = 2p + 8. What is p?
2. 2.What is 5³? =
3. 3.Write 8⁹ × 8² as a single power 8ⁿ. What is n?
4. 4.A town has 50000 people. The population grows by 15% every year. What will the population be after 2 years?
5. 5.Which of these is a perfect cube? (a) 693 (b) 621 (c) 512
6. 6.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
7. 7.What is the difference between the compound interest and the simple interest on ₹37500 at 4% per year for 2 years (in ₹)?
8. 8.A trapezium has parallel sides of 28 cm and 16 cm, and the distance between them is 15 cm. What is its area (in square cm)?
9. 9.The length of a rectangle is 9 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
10. 10.What is the smallest whole number by which 432 must be divided to get a perfect cube?
11. 11.What is the value of 3²? =
12. 12.A cuboid is 6 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
13. 13.A room is 3 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
14. 14.Find the value of x² − y² when x = 6 and y = 4.
15. 15.Use (a + b)² = a² + 2ab + b² to find 108².
16. 16.The sum of four consecutive whole numbers is 198. What is the smallest of them?
17. 17.The diagonals of a rhombus are 14 cm and 14 cm. What is its area (in square cm)?
18. 18.A trapezium has an area of 153 square cm. Its parallel sides are 4 cm and 13 cm. What is the distance between them (in cm)?
19. 19.Write (8⁴)³ as a single power 8ⁿ. What is n?
20. 20.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
21. 21.Write 1.4 × 10⁻² as a decimal. =
22. 22.What is the smallest whole number by which 200 must be divided to get a perfect cube?
23. 23.Use (a + b)(a − b) = a² − b² to find 39 × 21.
24. 24.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
25. 25.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
26. 26.A square garden has an area of 49 square m. How long is each side (in m)?
27. 27.A cuboid is 3 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
28. 28.Use (a + b)² = a² + 2ab + b² to find 37².
29. 29.A scooter is worth ₹24000. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
30. 30.Solve: 4m + 2 = m + 32. What is m?
31. 31.A cuboid is 8 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
32. 32.If a + b = 13 and ab = 12, what is a² + b²?
33. 33.What is √2025? =
34. 34.Write 72,000 in standard form as 7.2 × 10ⁿ. What is n?
35. 35.What is the smallest whole number by which 392 must be divided to get a perfect cube?
36. 36.A trapezium has an area of 34 square cm. Its parallel sides are 7 cm and 10 cm. What is the distance between them (in cm)?
37. 37.What amount will ₹50000 grow to in 2 years at 12% per year compound interest (in ₹)?
38. 38.A trapezium has an area of 162 square cm. Its parallel sides are 15 cm and 3 cm. What is the distance between them (in cm)?
39. 39.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
40. 40.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?

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