Class 8 Maths Final Test Worksheet
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.
NameDateTime takenScore ___ / 40
- 1.Find the compound interest on ₹57600 at 25% per year for 3 years, compounded every year (in ₹).
- 2.What is 5³? =
- 3.Use (a − b)² = a² − 2ab + b² to find 68².
- 4.A cuboid is 13 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 5.Use a² − b² = (a + b)(a − b) to find 52² − 5².
- 6.Solve: 9n + 3 = 5n + 63. What is n?
- 7.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
- 8.Solve: 7x + 13 = 6x + 24. What is x?
- 9.Use a² − b² = (a + b)(a − b) to find 25² − 17².
- 10.A scooter is worth ₹40300. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
- 11.Use (a + b)(a − b) = a² − b² to find 49 × 31.
- 12.Solve: n/5 + n/4 = 63. What is n?
- 13.The length of a rectangle is 10 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
- 14.Write (4³)⁵ as a single power 4ⁿ. What is n?
- 15.What is √1849? =
- 16.Find the compound interest on ₹4800 at 25% per year for 3 years, compounded every year (in ₹).
- 17.Solve: t/5 + t/4 = 9. What is t?
- 18.Find the compound interest on ₹23800 at 15% per year for 1 year, compounded every year (in ₹).
- 19.What is the value of 10⁴? =
- 20.What is the difference between the compound interest and the simple interest on ₹12500 at 4% per year for 2 years (in ₹)?
- 21.What is 11³? =
- 22.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
- 23.Solve: 4(x − 2) = 2x + 2. What is x?
- 24.Write 4.6 × 10⁻¹ as a decimal. =
- 25.A town has 28100 people. The population grows by 20% every year. What will the population be after 1 year?
- 26.What amount will ₹30000 grow to in 2 years at 12% per year compound interest (in ₹)?
- 27.What is 6³? =
- 28.Use (a + b)(a − b) = a² − b² to find 62 × 58.
- 29.A room is 10 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
- 30.Solve: 6(x − 3) = 3x + 24. What is x?
- 31.What is √8100? =
- 32.Solve: 9t + 6 = 6t + 9. What is t?
- 33.Solve: 7p + 17 = 2p + 27. What is p?
- 34.What is √3025? =
- 35.A scooter is worth ₹26000. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
- 36.Find the compound interest on ₹44200 at 10% per year for 2 years, compounded every year (in ₹).
- 37.Write 7⁶ × 7⁴ as a single power 7ⁿ. What is n?
- 38.A scooter is worth ₹2000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
- 39.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
- 40.How many whole numbers lie between 29² and 30²?
Answer key
- 54900
- 125
- 4624
- 270
- 2679
- 15
- 4
- 11
- 336
- 30225
- 1519
- 140
- 4
- 15
- 43
- 4575
- 20
- 3570
- 10000
- 20
- 1331
- 484
- 5
- 0.46
- 33720
- 37632
- 216
- 3596
- 160
- 14
- 90
- 1
- 2
- 55
- 23465
- 9282
- 10
- 1024
- 20
- 58
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