Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 69 · 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.Write 3,40,00,000 in standard form as 3.4 × 10ⁿ. What is n?
2. 2.What is 11³? =
3. 3.A trapezium has parallel sides of 13 cm and 8 cm, and the distance between them is 16 cm. What is its area (in square cm)?
4. 4.What is the value of (3/4)⁻¹? =
5. 5.A square garden has an area of 225 square m. How long is each side (in m)?
6. 6.Write 99,00,000 in standard form as 9.9 × 10ⁿ. What is n?
7. 7.A trapezium has an area of 30 square cm. Its parallel sides are 4 cm and 11 cm. What is the distance between them (in cm)?
8. 8.What is 16³? =
9. 9.Find the compound interest on ₹52500 at 8% per year for 2 years, compounded every year (in ₹).
10. 10.What amount will ₹25000 grow to in 2 years at 4% per year compound interest (in ₹)?
11. 11.A father is 28 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
12. 12.Solve: 3(m − 2) = 2m + 6. What is m?
13. 13.What amount will ₹15200 grow to in 2 years at 15% per year compound interest (in ₹)?
14. 14.If a − b = 5 and ab = 14, what is a² + b²?
15. 15.A father is 27 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
16. 16.What is the value of 9⁻³ (as a fraction)? =
17. 17.What is the value of 2¹ × 2⁻⁶? =
18. 18.Solve: 5p + 17 = p + 69. What is p?
19. 19.A scooter is worth ₹16800. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
20. 20.The sum of four consecutive whole numbers is 42. What is the smallest of them?
21. 21.Which of these is a perfect square? (a) 1436 (b) 1369 (c) 1424
22. 22.A trapezium has an area of 288 square cm. Its parallel sides are 25 cm and 11 cm. What is the distance between them (in cm)?
23. 23.Use (a + b)² = a² + 2ab + b² to find 104².
24. 24.A room is 6 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
25. 25.Solve: t/4 + t/6 = 40. What is t?
26. 26.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
27. 27.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
28. 28.Use (a + b)² = a² + 2ab + b² to find 106².
29. 29.What is the difference between the compound interest and the simple interest on ₹18800 at 15% per year for 2 years (in ₹)?
30. 30.What amount will ₹42100 grow to in 1 year at 5% per year compound interest (in ₹)?
31. 31.A square garden has an area of 1444 square m. How long is each side (in m)?
32. 32.The sum of two consecutive whole numbers is 113. What is the smallest of them?
33. 33.Solve: 7t + 12 = t + 18. What is t?
34. 34.Solve: 6(y − 1) = y + 64. What is y?
35. 35.Write 3.5 × 10⁻² as a decimal. =
36. 36.Use (a + b)² = a² + 2ab + b² to find 49².
37. 37.5.3 × 10³ =
38. 38.Write 6.3 × 10⁻¹ as a decimal. =
39. 39.What is the smallest whole number by which 864 must be divided to get a perfect cube?
40. 40.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?

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