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.What is the difference between the compound interest and the simple interest on ₹13200 at 15% per year for 2 years (in ₹)?
- 2.What is the difference between the compound interest and the simple interest on ₹52500 at 4% per year for 2 years (in ₹)?
- 3.What is the value of (8/9)⁻¹? =
- 4.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 5.What is √7744? =
- 6.How many whole numbers lie between 17² and 18²?
- 7.What is the value of 10³ × 10⁻²? =
- 8.Find the compound interest on ₹46200 at 20% per year for 1 year, compounded every year (in ₹).
- 9.Write (4⁷)² as a single power 4ⁿ. What is n?
- 10.What is √8464? =
- 11.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 12.Use (a + b)² = a² + 2ab + b² to find 24².
- 13.A square garden has an area of 2500 square m. How long is each side (in m)?
- 14.The length of a rectangle is 1 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
- 15.A trapezium has parallel sides of 30 cm and 21 cm, and the distance between them is 10 cm. What is its area (in square cm)?
- 16.What is the value of 5³? =
- 17.A cuboid is 10 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
- 18.How many whole numbers lie between 12² and 13²?
- 19.A cuboid is 4 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 20.What is the smallest whole number by which 576 must be divided to get a perfect cube?
- 21.Find the compound interest on ₹54600 at 12% per year for 1 year, compounded every year (in ₹).
- 22.What is the value of (7/9)⁻¹? =
- 23.What is 11²? =
- 24.The length of a rectangle is 14 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
- 25.A town has 55200 people. The population grows by 15% every year. What will the population be after 2 years?
- 26.What is the value of 3⁶ × 3⁻²? =
- 27.The diagonals of a rhombus are 4 cm and 3 cm. What is its area (in square cm)?
- 28.Solve: 4(p − 4) = 3p + 7. What is p?
- 29.A trapezium has an area of 47 square cm. Its parallel sides are 26 cm and 21 cm. What is the distance between them (in cm)?
- 30.What is the value of 10⁴ × 10⁻⁴? =
- 31.What is the value of 3³? =
- 32.If a + b = 8 and ab = 15, what is a² + b²?
- 33.Write 9⁹ ÷ 9⁴ as a single power 9ⁿ. What is n?
- 34.A trapezium has parallel sides of 18 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 35.What is the difference between the compound interest and the simple interest on ₹51200 at 25% per year for 2 years (in ₹)?
- 36.Solve: t/2 + t/3 = 40. What is t?
- 37.How many whole numbers lie between 28² and 29²?
- 38.A room is 7 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
- 39.The sum of two consecutive whole numbers is 25. What is the smallest of them?
- 40.Which of these is a perfect square? (a) 484 (b) 505 (c) 490
Answer key
- 297
- 84
- 9/8
- 64
- 88
- 34
- 10
- 9240
- 14
- 92
- 125
- 576
- 50
- 5
- 255
- 125
- 242
- 24
- 64
- 9
- 6552
- 9/7
- 121
- 8
- 73002
- 81
- 6
- 23
- 2
- 1
- 27
- 34
- 5
- 72
- 3200
- 48
- 56
- 104
- 12
- 484
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