Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 686 · 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 an area of 195 square cm. Its parallel sides are 6 cm and 24 cm. What is the distance between them (in cm)?
2. 2.Which of these is a perfect square? (a) 1575 (b) 1521 (c) 1568
3. 3.Solve: x/6 + x/3 = 21. What is x?
4. 4.A trapezium has an area of 60 square cm. Its parallel sides are 10 cm and 5 cm. What is the distance between them (in cm)?
5. 5.A father is 39 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
6. 6.The diagonals of a rhombus are 22 cm and 20 cm. What is its area (in square cm)?
7. 7.Write (6⁵)⁶ as a single power 6ⁿ. What is n?
8. 8.What is √4489? =
9. 9.What is the smallest whole number by which 175 must be multiplied to get a perfect square?
10. 10.Use (a − b)² = a² − 2ab + b² to find 88².
11. 11.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
12. 12.What is the value of 2¹⁵? =
13. 13.What amount will ₹10000 grow to in 2 years at 4% per year compound interest (in ₹)?
14. 14.A father is 12 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
15. 15.A scooter is worth ₹7900. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
16. 16.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
17. 17.A room is 11 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
18. 18.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
19. 19.What is the difference between the compound interest and the simple interest on ₹5000 at 8% per year for 2 years (in ₹)?
20. 20.What is 15³? =
21. 21.What is 19³? =
22. 22.What is √5929? =
23. 23.A trapezium has an area of 100 square cm. Its parallel sides are 5 cm and 20 cm. What is the distance between them (in cm)?
24. 24.Find the compound interest on ₹9600 at 25% per year for 3 years, compounded every year (in ₹).
25. 25.A cuboid is 12 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
26. 26.Solve: y/3 + y/5 = 16. What is y?
27. 27.Solve: 6m + 14 = 2m + 58. What is m?
28. 28.How many whole numbers lie between 19² and 20²?
29. 29.What is the difference between the compound interest and the simple interest on ₹54000 at 20% per year for 2 years (in ₹)?
30. 30.Which of these is a perfect square? (a) 777 (b) 782 (c) 729
31. 31.Find the compound interest on ₹30800 at 4% per year for 1 year, compounded every year (in ₹).
32. 32.Use (a − b)² = a² − 2ab + b² to find 32².
33. 33.Which of these is a perfect cube? (a) 729 (b) 732 (c) 813
34. 34.The diagonals of a rhombus are 8 cm and 21 cm. What is its area (in square cm)?
35. 35.Solve: n/6 + n/5 = 77. What is n?
36. 36.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
37. 37.Solve: 8p + 6 = 2p + 66. What is p?
38. 38.A father is 36 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
39. 39.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
40. 40.What is the smallest whole number by which 5 must be divided to get a perfect cube?

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