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.
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- 1.Write 7.5 × 10⁻² as a decimal. =
- 2.A trapezium has parallel sides of 20 cm and 3 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 3.What is the difference between the compound interest and the simple interest on ₹37500 at 8% per year for 2 years (in ₹)?
- 4.The diagonals of a rhombus are 8 cm and 29 cm. What is its area (in square cm)?
- 5.What is the value of 2¹⁶? =
- 6.A room is 11 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
- 7.A town has 51500 people. The population grows by 5% every year. What will the population be after 1 year?
- 8.A trapezium has parallel sides of 4 cm and 23 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 9.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
- 10.Write (6²)⁷ as a single power 6ⁿ. What is n?
- 11.What is the value of 6²? =
- 12.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
- 13.A cuboid is 6 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 14.Use (a + b)² = a² + 2ab + b² to find 24².
- 15.A town has 31300 people. The population grows by 25% every year. What will the population be after 1 year?
- 16.A trapezium has an area of 180 square cm. Its parallel sides are 28 cm and 8 cm. What is the distance between them (in cm)?
- 17.Solve: x/2 + x/4 = 24. What is x?
- 18.A scooter is worth ₹25300. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
- 19.1.2 × 10² =
- 20.Write (9³)⁷ as a single power 9ⁿ. What is n?
- 21.A room is 12 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
- 22.The length of a rectangle is 1 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
- 23.How many whole numbers lie between 34² and 35²?
- 24.What is the difference between the compound interest and the simple interest on ₹37500 at 12% per year for 2 years (in ₹)?
- 25.How many whole numbers lie between 36² and 37²?
- 26.How many whole numbers lie between 28² and 29²?
- 27.What is 70²? =
- 28.The sum of two consecutive whole numbers is 37. What is the largest of them?
- 29.What is √4096? =
- 30.Solve: 7x + 20 = 3x + 40. What is x?
- 31.Which of these is a perfect cube? (a) 268 (b) 244 (c) 216
- 32.What is the value of 2¹¹? =
- 33.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
- 34.A scooter is worth ₹7400. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
- 35.A father is 51 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
- 36.Write 5.3 × 10⁻² as a decimal. =
- 37.What is the value of 3³? =
- 38.What is the smallest whole number by which 56 must be multiplied to get a perfect square?
- 39.Write 4.9 × 10⁻¹ as a decimal. =
- 40.Find the compound interest on ₹9100 at 20% per year for 1 year, compounded every year (in ₹).
Answer key
- 0.075
- 92
- 240
- 116
- 65536
- 170
- 54075
- 81
- 1014
- 14
- 36
- 12
- 264
- 576
- 39125
- 10
- 32
- 22264
- 120
- 21
- 96
- 12
- 68
- 540
- 72
- 56
- 4900
- 19
- 64
- 5
- 216
- 2048
- 12
- 6660
- 9
- 0.053
- 27
- 14
- 0.49
- 1820
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