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: 5(y − 2) = y + 42. What is y?
- 2.A square garden has an area of 676 square m. How long is each side (in m)?
- 3.A scooter is worth ₹4400. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
- 4.What is the value of 2¹⁶? =
- 5.What is the smallest whole number by which 90 must be divided to get a perfect square?
- 6.Solve: 3(m − 3) = m + 13. What is m?
- 7.Write 1.7 × 10⁻³ as a decimal. =
- 8.Solve: 7x + 5 = 2x + 50. What is x?
- 9.The length of a rectangle is 3 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
- 10.The sum of two consecutive whole numbers is 49. What is the largest of them?
- 11.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
- 12.Solve: 4(x − 5) = 2x + 2. What is x?
- 13.The sum of three consecutive whole numbers is 156. What is the largest of them?
- 14.Use (a + b)(a − b) = a² − b² to find 82 × 78.
- 15.A scooter is worth ₹60000. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
- 16.How many whole numbers lie between 41² and 42²?
- 17.What amount will ₹17500 grow to in 2 years at 8% per year compound interest (in ₹)?
- 18.Find the value of x² − y² when x = 4 and y = 1.
- 19.What is the smallest whole number by which 640 must be multiplied to get a perfect square?
- 20.What is the difference between the compound interest and the simple interest on ₹24600 at 10% per year for 2 years (in ₹)?
- 21.What amount will ₹47500 grow to in 3 years at 20% per year compound interest (in ₹)?
- 22.The sum of three consecutive whole numbers is 159. What is the smallest of them?
- 23.What is the value of (4/9)⁻¹? =
- 24.A cuboid is 3 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
- 25.What is 27²? =
- 26.How many whole numbers lie between 9² and 10²?
- 27.What is ∛5832? =
- 28.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
- 29.Use (a + b)(a − b) = a² − b² to find 28 × 12.
- 30.A father is 54 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
- 31.7.2 × 10⁴ =
- 32.What amount will ₹3600 grow to in 2 years at 25% per year compound interest (in ₹)?
- 33.What is the smallest whole number by which 99 must be divided to get a perfect square?
- 34.What is ∛13824? =
- 35.Write 3⁵ ÷ 3³ as a single power 3ⁿ. What is n?
- 36.Write 6⁹ ÷ 6⁷ as a single power 6ⁿ. What is n?
- 37.What is √2601? =
- 38.What is 93²? =
- 39.A cuboid is 6 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 40.What is √3969? =
Answer key
- 13
- 26
- 3960
- 65536
- 10
- 11
- 0.0017
- 9
- 26
- 25
- 18
- 11
- 53
- 6396
- 50784
- 82
- 20412
- 15
- 10
- 246
- 82080
- 52
- 9/4
- 242
- 729
- 18
- 18
- 5
- 336
- 10
- 72000
- 5625
- 11
- 24
- 2
- 2
- 51
- 8649
- 472
- 63
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