Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 936 · 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 5 cm and 2 cm, and the distance between them is 2 cm. What is its area (in square cm)?
2. 2.If a + b = 6 and ab = 5, what is a² + b²?
3. 3.A father is 36 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
4. 4.What amount will ₹20000 grow to in 3 years at 10% per year compound interest (in ₹)?
5. 5.Solve: 6(n − 5) = 4n + 4. What is n?
6. 6.Write 3¹⁰ ÷ 3⁷ as a single power 3ⁿ. What is n?
7. 7.What is the value of 3⁷? =
8. 8.What is ∛4096? =
9. 9.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
10. 10.The sum of two consecutive whole numbers is 107. What is the smallest of them?
11. 11.Use (a − b)² = a² − 2ab + b² to find 35².
12. 12.Write (4³)⁸ as a single power 4ⁿ. What is n?
13. 13.What is the smallest whole number by which 99 must be multiplied to get a perfect square?
14. 14.A father is 26 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?
15. 15.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
16. 16.A cuboid is 6 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
17. 17.A scooter is worth ₹8800. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
18. 18.How many whole numbers lie between 35² and 36²?
19. 19.What is ∛729? =
20. 20.What is the value of 3⁻⁶ (as a fraction)? =
21. 21.Which of these is a perfect cube? (a) 53 (b) 47 (c) 27
22. 22.Write 2⁵ × 2⁵ as a single power 2ⁿ. What is n?
23. 23.Use (a + b)² = a² + 2ab + b² to find 52².
24. 24.What is the smallest whole number by which 540 must be divided to get a perfect square?
25. 25.What is √1849? =
26. 26.Find the value of x² + 2xy + y² when x = 9 and y = 7.
27. 27.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
28. 28.What is the value of 7⁵? =
29. 29.A trapezium has an area of 105 square cm. Its parallel sides are 14 cm and 21 cm. What is the distance between them (in cm)?
30. 30.Solve: 3m + 1 = 2m + 15. What is m?
31. 31.What is 5³? =
32. 32.A cuboid is 15 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
33. 33.Write 7⁹ ÷ 7⁶ as a single power 7ⁿ. What is n?
34. 34.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
35. 35.A room is 4 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
36. 36.A trapezium has parallel sides of 27 cm and 18 cm, and the distance between them is 16 cm. What is its area (in square cm)?
37. 37.A room is 8 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
38. 38.A room is 7 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
39. 39.Solve: p/3 + p/5 = 16. What is p?
40. 40.How many whole numbers lie between 13² and 14²?

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