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.A scooter is worth ₹11400. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
- 2.What is √2401? =
- 3.What amount will ₹35900 grow to in 1 year at 20% per year compound interest (in ₹)?
- 4.Solve: p/4 + p/3 = 14. What is p?
- 5.Write 5.9 × 10⁻⁴ as a decimal. =
- 6.What is √784? =
- 7.Use (a + b)² = a² + 2ab + b² to find 67².
- 8.A trapezium has an area of 26 square cm. Its parallel sides are 5 cm and 8 cm. What is the distance between them (in cm)?
- 9.What amount will ₹5700 grow to in 1 year at 10% per year compound interest (in ₹)?
- 10.Use (a + b)(a − b) = a² − b² to find 71 × 69.
- 11.What is 86²? =
- 12.What is the smallest whole number by which 45 must be multiplied to get a perfect square?
- 13.What is the value of 3⁴ × 3⁻⁵? =
- 14.Which of these is a perfect square? (a) 636 (b) 653 (c) 625
- 15.9.2 × 10⁴ =
- 16.How many whole numbers lie between 22² and 23²?
- 17.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
- 18.What is the value of (1/9)⁻²? =
- 19.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
- 20.Write 2,20,00,000 in standard form as 2.2 × 10ⁿ. What is n?
- 21.Use (a + b)(a − b) = a² − b² to find 103 × 97.
- 22.The length of a rectangle is 4 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
- 23.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
- 24.What is the difference between the compound interest and the simple interest on ₹8400 at 25% per year for 2 years (in ₹)?
- 25.A scooter is worth ₹19200. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
- 26.A trapezium has an area of 240 square cm. Its parallel sides are 28 cm and 12 cm. What is the distance between them (in cm)?
- 27.A trapezium has an area of 57 square cm. Its parallel sides are 8 cm and 11 cm. What is the distance between them (in cm)?
- 28.Solve: 5(n − 1) = 3n + 3. What is n?
- 29.Write 8⁸ × 8⁴ as a single power 8ⁿ. What is n?
- 30.What is the smallest whole number by which 56 must be divided to get a perfect cube?
- 31.Solve: p/3 + p/5 = 64. What is p?
- 32.A cuboid is 11 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 33.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
- 34.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
- 35.What is √1444? =
- 36.What is the smallest whole number by which 162 must be divided to get a perfect square?
- 37.What is the value of 2⁴? =
- 38.The sum of two consecutive whole numbers is 69. What is the smallest of them?
- 39.What is the value of 2¹⁶? =
- 40.A trapezium has parallel sides of 10 cm and 18 cm, and the distance between them is 8 cm. What is its area (in square cm)?
Answer key
- 7296
- 49
- 43080
- 24
- 0.00059
- 28
- 4489
- 4
- 6270
- 4899
- 7396
- 5
- 1/3
- 625
- 92000
- 44
- 19
- 81
- 3750
- 7
- 9991
- 19
- 8
- 525
- 10800
- 12
- 6
- 4
- 12
- 7
- 120
- 374
- 1734
- 121
- 38
- 2
- 16
- 34
- 65536
- 112
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