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
- 1.6 × 10⁷ =
- 2.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
- 3.A trapezium has an area of 86 square cm. Its parallel sides are 15 cm and 28 cm. What is the distance between them (in cm)?
- 4.Solve: 7n + 2 = 2n + 72. What is n?
- 5.A father is 11 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
- 6.A trapezium has an area of 342 square cm. Its parallel sides are 29 cm and 9 cm. What is the distance between them (in cm)?
- 7.Write 4.7 × 10⁻³ as a decimal. =
- 8.A town has 27800 people. The population grows by 10% every year. What will the population be after 1 year?
- 9.Which of these is a perfect cube? (a) 142 (b) 138 (c) 125
- 10.Find the compound interest on ₹39000 at 10% per year for 3 years, compounded every year (in ₹).
- 11.What amount will ₹23200 grow to in 2 years at 15% per year compound interest (in ₹)?
- 12.Use (a + b)² = a² + 2ab + b² to find 39².
- 13.What is the difference between the compound interest and the simple interest on ₹30500 at 20% per year for 2 years (in ₹)?
- 14.A cuboid is 4 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 15.What amount will ₹56700 grow to in 1 year at 5% per year compound interest (in ₹)?
- 16.Find the compound interest on ₹30400 at 25% per year for 3 years, compounded every year (in ₹).
- 17.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
- 18.The diagonals of a rhombus are 6 cm and 25 cm. What is its area (in square cm)?
- 19.A scooter is worth ₹51700. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
- 20.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
- 21.Use (a + b)² = a² + 2ab + b² to find 106².
- 22.What is √8100? =
- 23.A trapezium has an area of 172 square cm. Its parallel sides are 19 cm and 24 cm. What is the distance between them (in cm)?
- 24.A cuboid is 9 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 25.A cuboid is 12 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 26.A scooter is worth ₹54500. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
- 27.Solve: 4(x − 4) = x + 17. What is x?
- 28.What is the value of 3³ × 3⁻¹? =
- 29.Find the compound interest on ₹13800 at 5% per year for 1 year, compounded every year (in ₹).
- 30.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
- 31.A town has 21600 people. The population grows by 5% every year. What will the population be after 2 years?
- 32.What is the value of (3/5)⁻¹? =
- 33.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 34.What is ∛1000? =
- 35.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
- 36.What is 65²? =
- 37.The diagonals of a rhombus are 26 cm and 8 cm. What is its area (in square cm)?
- 38.Solve: 5(p − 3) = 4p + 9. What is p?
- 39.What is the value of 3⁻⁵ (as a fraction)? =
- 40.What is 25²? =
Answer key
- 60000000
- 576
- 4
- 14
- 5
- 18
- 0.0047
- 30580
- 125
- 12909
- 30682
- 1521
- 1220
- 76
- 59535
- 28975
- 841
- 75
- 38775
- 289
- 11236
- 90
- 8
- 294
- 104
- 52320
- 11
- 9
- 690
- 14
- 23814
- 5/3
- 125
- 10
- 49
- 4225
- 104
- 24
- 1/243
- 625
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