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 ∛8000? =
- 2.What is the value of 3³ × 3⁻²? =
- 3.What is 20²? =
- 4.Use (a + b)(a − b) = a² − b² to find 95 × 85.
- 5.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
- 6.What is the difference between the compound interest and the simple interest on ₹33200 at 15% per year for 2 years (in ₹)?
- 7.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
- 8.What is the smallest whole number by which 54 must be divided to get a perfect square?
- 9.Solve: m/3 + m/2 = 10. What is m?
- 10.Use (a + b)² = a² + 2ab + b² to find 62².
- 11.What is the smallest whole number by which 27 must be divided to get a perfect square?
- 12.How many whole numbers lie between 5² and 6²?
- 13.What is √225? =
- 14.Find the compound interest on ₹50200 at 25% per year for 1 year, compounded every year (in ₹).
- 15.A trapezium has an area of 90 square cm. Its parallel sides are 25 cm and 20 cm. What is the distance between them (in cm)?
- 16.What amount will ₹2900 grow to in 1 year at 10% per year compound interest (in ₹)?
- 17.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
- 18.What amount will ₹16500 grow to in 1 year at 8% per year compound interest (in ₹)?
- 19.A scooter is worth ₹37200. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
- 20.What is the value of 3⁸? =
- 21.Solve: 4(n − 1) = 2n + 16. What is n?
- 22.Find the compound interest on ₹17100 at 8% per year for 1 year, compounded every year (in ₹).
- 23.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
- 24.What amount will ₹59000 grow to in 3 years at 10% per year compound interest (in ₹)?
- 25.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
- 26.How many whole numbers lie between 48² and 49²?
- 27.Find the value of x² − y² when x = 5 and y = 4.
- 28.A square garden has an area of 3600 square m. How long is each side (in m)?
- 29.Find the compound interest on ₹9600 at 25% per year for 3 years, compounded every year (in ₹).
- 30.Write (2⁴)⁹ as a single power 2ⁿ. What is n?
- 31.Which of these is a perfect cube? (a) 2818 (b) 2901 (c) 2744
- 32.Write 85,00,000 in standard form as 8.5 × 10ⁿ. What is n?
- 33.A scooter is worth ₹48000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
- 34.What is √3249? =
- 35.What is the smallest whole number by which 44 must be multiplied to get a perfect square?
- 36.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 37.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 38.Write 2¹⁰ ÷ 2⁷ as a single power 2ⁿ. What is n?
- 39.A town has 48000 people. The population grows by 5% every year. What will the population be after 3 years?
- 40.Use (a − b)² = a² − 2ab + b² to find 15².
Answer key
- 20
- 3
- 400
- 8075
- 9
- 747
- 9
- 6
- 12
- 3844
- 3
- 10
- 15
- 12550
- 4
- 3190
- 1734
- 17820
- 33480
- 6561
- 10
- 1368
- 6
- 78529
- 9
- 96
- 9
- 60
- 9150
- 36
- 2744
- 6
- 29478
- 57
- 11
- 8
- 27
- 3
- 55566
- 225
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