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.Solve: 4y + 19 = 2y + 39. What is y?
- 2.Which of these is a perfect square? (a) 756 (b) 769 (c) 729
- 3.If a + b = 17 and ab = 72, what is a² + b²?
- 4.What amount will ₹42500 grow to in 2 years at 12% per year compound interest (in ₹)?
- 5.The sum of three consecutive whole numbers is 72. What is the largest of them?
- 6.Use a² − b² = (a + b)(a − b) to find 51² − 34².
- 7.Solve: 8y + 6 = 7y + 12. What is y?
- 8.What is the value of 5²? =
- 9.Find the value of x² + 2xy + y² when x = 11 and y = 5.
- 10.What amount will ₹7900 grow to in 1 year at 10% per year compound interest (in ₹)?
- 11.What is ∛13824? =
- 12.The length of a rectangle is 12 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
- 13.If a − b = 1 and ab = 2, what is a² + b²?
- 14.What is the difference between the compound interest and the simple interest on ₹32000 at 10% per year for 2 years (in ₹)?
- 15.How many whole numbers lie between 45² and 46²?
- 16.What is 73²? =
- 17.How many whole numbers lie between 23² and 24²?
- 18.Which of these is a perfect square? (a) 580 (b) 576 (c) 606
- 19.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
- 20.A cuboid is 5 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 21.Find the value of x² − 2xy + y² when x = 9 and y = 2.
- 22.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
- 23.A town has 32500 people. The population grows by 8% every year. What will the population be after 2 years?
- 24.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
- 25.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 26.What is the difference between the compound interest and the simple interest on ₹5000 at 8% per year for 2 years (in ₹)?
- 27.A square garden has an area of 100 square m. How long is each side (in m)?
- 28.Use (a − b)² = a² − 2ab + b² to find 39².
- 29.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
- 30.What is 8³? =
- 31.Which of these is a perfect cube? (a) 866 (b) 812 (c) 729
- 32.What is the difference between the compound interest and the simple interest on ₹30000 at 12% per year for 2 years (in ₹)?
- 33.4.2 × 10⁶ =
- 34.Solve: 4p + 5 = 2p + 33. What is p?
- 35.Write 9.1 × 10⁻¹ as a decimal. =
- 36.What is 85²? =
- 37.What is √6561? =
- 38.Which of these is a perfect square? (a) 309 (b) 289 (c) 292
- 39.What is √5625? =
- 40.What is ∛1000? =
Answer key
- 10
- 729
- 145
- 53312
- 25
- 1445
- 6
- 25
- 256
- 8690
- 24
- 16
- 5
- 320
- 90
- 5329
- 46
- 576
- 5
- 110
- 49
- 8
- 37908
- 1734
- 8
- 32
- 10
- 1521
- 49
- 512
- 729
- 432
- 4200000
- 14
- 0.91
- 7225
- 81
- 289
- 75
- 10
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