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.Write 6.5 × 10⁻⁴ as a decimal. =
- 2.Write 40,00,000 in standard form as 4 × 10ⁿ. What is n?
- 3.Write 9³ × 9² as a single power 9ⁿ. What is n?
- 4.A room is 3 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
- 5.What is ∛8000? =
- 6.A cuboid is 7 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 7.What is ∛3375? =
- 8.A cuboid is 11 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 9.Write 6.2 × 10⁻¹ as a decimal. =
- 10.The diagonals of a rhombus are 26 cm and 8 cm. What is its area (in square cm)?
- 11.Which of these is a perfect square? (a) 362 (b) 388 (c) 361
- 12.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
- 13.What amount will ₹10000 grow to in 2 years at 4% per year compound interest (in ₹)?
- 14.What is √169? =
- 15.Solve: 5(p − 2) = 4p + 11. What is p?
- 16.A father is 33 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
- 17.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
- 18.What is 13³? =
- 19.Solve: 6m + 12 = 3m + 30. What is m?
- 20.If a + b = 4 and ab = 3, what is a² + b²?
- 21.What is 40²? =
- 22.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
- 23.What is the value of 7⁻² (as a fraction)? =
- 24.What amount will ₹4800 grow to in 3 years at 25% per year compound interest (in ₹)?
- 25.What is the value of 6⁵? =
- 26.Write (9³)⁴ as a single power 9ⁿ. What is n?
- 27.A town has 15100 people. The population grows by 12% every year. What will the population be after 1 year?
- 28.Find the compound interest on ₹29300 at 4% per year for 1 year, compounded every year (in ₹).
- 29.Which of these is a perfect cube? (a) 1034 (b) 1000 (c) 1063
- 30.7.2 × 10³ =
- 31.Solve: 5(m − 1) = m + 11. What is m?
- 32.A town has 15500 people. The population grows by 20% every year. What will the population be after 2 years?
- 33.A father is 30 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
- 34.Find the compound interest on ₹7500 at 8% per year for 2 years, compounded every year (in ₹).
- 35.What is the difference between the compound interest and the simple interest on ₹35900 at 10% per year for 2 years (in ₹)?
- 36.7.8 × 10³ =
- 37.A trapezium has an area of 225 square cm. Its parallel sides are 23 cm and 2 cm. What is the distance between them (in cm)?
- 38.A room is 5 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
- 39.Write 6¹¹ ÷ 6⁹ as a single power 6ⁿ. What is n?
- 40.A scooter is worth ₹31800. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
Answer key
- 0.00065
- 6
- 5
- 104
- 20
- 82
- 15
- 206
- 0.62
- 104
- 361
- 5
- 10816
- 13
- 21
- 4
- 2904
- 2197
- 6
- 10
- 1600
- 9
- 1/49
- 9375
- 7776
- 12
- 16912
- 1172
- 1000
- 7200
- 4
- 22320
- 9
- 1248
- 359
- 7800
- 18
- 48
- 2
- 28620
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