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 value of 2⁶? =
- 2.Find the compound interest on ₹49600 at 25% per year for 3 years, compounded every year (in ₹).
- 3.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 4.Solve: t/5 + t/6 = 11. What is t?
- 5.Use (a + b)(a − b) = a² − b² to find 25 × 15.
- 6.The diagonals of a rhombus are 26 cm and 3 cm. What is its area (in square cm)?
- 7.The sum of two consecutive whole numbers is 19. What is the smallest of them?
- 8.What is 40²? =
- 9.What is the smallest whole number by which 648 must be divided to get a perfect cube?
- 10.How many whole numbers lie between 36² and 37²?
- 11.A cuboid is 12 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 12.A trapezium has parallel sides of 5 cm and 4 cm, and the distance between them is 14 cm. What is its area (in square cm)?
- 13.The sum of four consecutive whole numbers is 198. What is the largest of them?
- 14.Find the compound interest on ₹30600 at 5% per year for 1 year, compounded every year (in ₹).
- 15.The diagonals of a rhombus are 4 cm and 23 cm. What is its area (in square cm)?
- 16.Write 2⁵ ÷ 2² as a single power 2ⁿ. What is n?
- 17.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
- 18.A square garden has an area of 2209 square m. How long is each side (in m)?
- 19.What is 14³? =
- 20.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
- 21.Use (a + b)(a − b) = a² − b² to find 107 × 93.
- 22.Use (a + b)² = a² + 2ab + b² to find 93².
- 23.A cuboid is 7 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 24.Use (a + b)(a − b) = a² − b² to find 87 × 73.
- 25.Write 1.2 × 10⁻¹ as a decimal. =
- 26.What is ∛1728? =
- 27.A square garden has an area of 2704 square m. How long is each side (in m)?
- 28.What amount will ₹45000 grow to in 2 years at 12% per year compound interest (in ₹)?
- 29.A trapezium has parallel sides of 5 cm and 30 cm, and the distance between them is 18 cm. What is its area (in square cm)?
- 30.A town has 2500 people. The population grows by 4% every year. What will the population be after 2 years?
- 31.Write 7,700 in standard form as 7.7 × 10ⁿ. What is n?
- 32.A cuboid is 11 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 33.What is 31²? =
- 34.What is the value of 6⁵? =
- 35.A trapezium has an area of 216 square cm. Its parallel sides are 23 cm and 4 cm. What is the distance between them (in cm)?
- 36.Which of these is a perfect square? (a) 798 (b) 784 (c) 799
- 37.A square garden has an area of 225 square m. How long is each side (in m)?
- 38.How many whole numbers lie between 49² and 50²?
- 39.How many whole numbers lie between 34² and 35²?
- 40.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
Answer key
- 64
- 47275
- 64
- 30
- 375
- 39
- 9
- 1600
- 3
- 72
- 320
- 63
- 51
- 1530
- 46
- 3
- 216
- 47
- 2744
- 294
- 9951
- 8649
- 122
- 6351
- 0.12
- 12
- 52
- 56448
- 315
- 2704
- 3
- 234
- 961
- 7776
- 16
- 784
- 15
- 98
- 68
- 64
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