Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 442 · 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 cuboid is 5 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
2. 2.What amount will ₹38800 grow to in 2 years at 5% per year compound interest (in ₹)?
3. 3.What is the difference between the compound interest and the simple interest on ₹5200 at 5% per year for 2 years (in ₹)?
4. 4.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
5. 5.Solve: t/2 + t/6 = 8. What is t?
6. 6.Find the compound interest on ₹55000 at 12% per year for 2 years, compounded every year (in ₹).
7. 7.What is 70²? =
8. 8.Use (a + b)² = a² + 2ab + b² to find 68².
9. 9.Use (a + b)(a − b) = a² − b² to find 66 × 54.
10. 10.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
11. 11.If a + b = 7 and ab = 12, what is a² + b²?
12. 12.A trapezium has parallel sides of 17 cm and 21 cm, and the distance between them is 12 cm. What is its area (in square cm)?
13. 13.A trapezium has parallel sides of 6 cm and 26 cm, and the distance between them is 12 cm. What is its area (in square cm)?
14. 14.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
15. 15.What is the smallest whole number by which 208 must be multiplied to get a perfect square?
16. 16.Which of these is a perfect square? (a) 176 (b) 169 (c) 188
17. 17.Which of these is a perfect square? (a) 484 (b) 523 (c) 520
18. 18.What is √8836? =
19. 19.Use (a − b)² = a² − 2ab + b² to find 34².
20. 20.A room is 11 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
21. 21.Use (a + b)² = a² + 2ab + b² to find 28².
22. 22.What is the value of 2²? =
23. 23.What is the smallest whole number by which 468 must be divided to get a perfect square?
24. 24.Find the compound interest on ₹45000 at 8% per year for 2 years, compounded every year (in ₹).
25. 25.What is ∛1331? =
26. 26.The diagonals of a rhombus are 6 cm and 26 cm. What is its area (in square cm)?
27. 27.Find the compound interest on ₹16400 at 10% per year for 2 years, compounded every year (in ₹).
28. 28.A trapezium has an area of 387 square cm. Its parallel sides are 18 cm and 25 cm. What is the distance between them (in cm)?
29. 29.A square garden has an area of 144 square m. How long is each side (in m)?
30. 30.Solve: 9x + 8 = 6x + 38. What is x?
31. 31.Use (a − b)² = a² − 2ab + b² to find 86².
32. 32.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
33. 33.Use a² − b² = (a + b)(a − b) to find 78² − 3².
34. 34.Use a² − b² = (a + b)(a − b) to find 40² − 31².
35. 35.Which of these is a perfect square? (a) 588 (b) 592 (c) 576
36. 36.Find the compound interest on ₹42200 at 10% per year for 2 years, compounded every year (in ₹).
37. 37.A square garden has an area of 64 square m. How long is each side (in m)?
38. 38.Which of these is a perfect square? (a) 1028 (b) 1024 (c) 1025
39. 39.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
40. 40.How many whole numbers lie between 32² and 33²?

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