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 √841? =
- 2.Find the value of x² − 2xy + y² when x = 13 and y = 4.
- 3.Find the value of x² − y² when x = 10 and y = 7.
- 4.Find the value of x² + 2xy + y² when x = 11 and y = 1.
- 5.What is the difference between the compound interest and the simple interest on ₹37500 at 12% per year for 2 years (in ₹)?
- 6.A cuboid is 3 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 7.How many whole numbers lie between 13² and 14²?
- 8.Solve: 4t + 3 = t + 30. What is t?
- 9.What amount will ₹51100 grow to in 1 year at 20% per year compound interest (in ₹)?
- 10.Write 5⁸ × 5⁹ as a single power 5ⁿ. What is n?
- 11.Use a² − b² = (a + b)(a − b) to find 74² − 42².
- 12.A cuboid is 13 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 13.What amount will ₹57500 grow to in 2 years at 8% per year compound interest (in ₹)?
- 14.What is ∛2744? =
- 15.Write 7⁹ × 7⁷ as a single power 7ⁿ. What is n?
- 16.What is the value of 2⁻⁶ (as a fraction)? =
- 17.What amount will ₹35000 grow to in 2 years at 12% per year compound interest (in ₹)?
- 18.What is the difference between the compound interest and the simple interest on ₹36400 at 15% per year for 2 years (in ₹)?
- 19.Use (a + b)(a − b) = a² − b² to find 53 × 47.
- 20.A scooter is worth ₹38400. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
- 21.A town has 42900 people. The population grows by 20% every year. What will the population be after 1 year?
- 22.Which of these is a perfect square? (a) 961 (b) 1019 (c) 963
- 23.Solve: n/5 + n/4 = 27. What is n?
- 24.A town has 49000 people. The population grows by 20% every year. What will the population be after 3 years?
- 25.Write 47,000 in standard form as 4.7 × 10ⁿ. What is n?
- 26.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
- 27.What is the value of 6⁵? =
- 28.Use (a − b)² = a² − 2ab + b² to find 56².
- 29.Find the compound interest on ₹54400 at 25% per year for 2 years, compounded every year (in ₹).
- 30.How many whole numbers lie between 25² and 26²?
- 31.Find the compound interest on ₹40000 at 25% per year for 1 year, compounded every year (in ₹).
- 32.A cuboid is 4 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 33.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
- 34.Which of these is a perfect square? (a) 225 (b) 238 (c) 253
- 35.How many whole numbers lie between 45² and 46²?
- 36.The sum of two consecutive whole numbers is 111. What is the largest of them?
- 37.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
- 38.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
- 39.A cuboid is 12 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 40.Find the compound interest on ₹42400 at 12% per year for 1 year, compounded every year (in ₹).
Answer key
- 29
- 81
- 51
- 144
- 540
- 114
- 26
- 9
- 61320
- 17
- 3712
- 720
- 67068
- 14
- 16
- 1/64
- 43904
- 819
- 2491
- 16200
- 51480
- 961
- 60
- 84672
- 4
- 1014
- 7776
- 3136
- 30600
- 50
- 10000
- 112
- 14
- 225
- 90
- 56
- 6
- 2
- 552
- 5088
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