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 ₹49100 at 10% per year for 2 years (in ₹)?
- 2.Solve: 8y + 12 = 2y + 42. What is y?
- 3.How many whole numbers lie between 5² and 6²?
- 4.Use a² − b² = (a + b)(a − b) to find 42² − 36².
- 5.A cuboid is 11 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 6.What is 62²? =
- 7.Write 2⁶ × 2³ as a single power 2ⁿ. What is n?
- 8.What is 30²? =
- 9.A trapezium has parallel sides of 10 cm and 12 cm, and the distance between them is 3 cm. What is its area (in square cm)?
- 10.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
- 11.A town has 52000 people. The population grows by 10% every year. What will the population be after 3 years?
- 12.Write 9.7 × 10⁻² as a decimal. =
- 13.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
- 14.Use (a + b)² = a² + 2ab + b² to find 109².
- 15.How many whole numbers lie between 30² and 31²?
- 16.The diagonals of a rhombus are 18 cm and 23 cm. What is its area (in square cm)?
- 17.What is the difference between the compound interest and the simple interest on ₹22500 at 4% per year for 2 years (in ₹)?
- 18.Which of these is a perfect cube? (a) 512 (b) 698 (c) 633
- 19.Find the value of x² − y² when x = 6 and y = 2.
- 20.Find the value of x² + 2xy + y² when x = 14 and y = 8.
- 21.A trapezium has parallel sides of 19 cm and 6 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 22.Find the value of x² − y² when x = 8 and y = 1.
- 23.What is ∛5832? =
- 24.What is the difference between the compound interest and the simple interest on ₹57500 at 4% per year for 2 years (in ₹)?
- 25.Which of these is a perfect cube? (a) 3463 (b) 3375 (c) 3423
- 26.7.7 × 10⁴ =
- 27.Find the value of x² − 2xy + y² when x = 10 and y = 1.
- 28.Which of these is a perfect square? (a) 131 (b) 128 (c) 121
- 29.If a + b = 13 and ab = 42, what is a² + b²?
- 30.The sum of two consecutive whole numbers is 121. What is the smallest of them?
- 31.What is 65²? =
- 32.Use a² − b² = (a + b)(a − b) to find 95² − 80².
- 33.What is the value of (7/8)⁻²? =
- 34.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
- 35.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?
- 36.What is 18³? =
- 37.A scooter is worth ₹47600. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
- 38.Find the compound interest on ₹42100 at 8% per year for 1 year, compounded every year (in ₹).
- 39.Use (a + b)² = a² + 2ab + b² to find 103².
- 40.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
Answer key
- 491
- 5
- 10
- 468
- 370
- 3844
- 9
- 900
- 33
- 14
- 69212
- 0.097
- 9
- 11881
- 60
- 207
- 36
- 512
- 32
- 484
- 100
- 63
- 18
- 92
- 3375
- 77000
- 81
- 121
- 85
- 60
- 4225
- 2625
- 64/49
- 49
- 27783
- 5832
- 35700
- 3368
- 10609
- 3
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