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.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
- 2.What is √6889? =
- 3.What is the value of (3/7)⁻¹? =
- 4.A father is 12 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
- 5.A square garden has an area of 289 square m. How long is each side (in m)?
- 6.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
- 7.Find the compound interest on ₹46800 at 12% per year for 1 year, compounded every year (in ₹).
- 8.Find the compound interest on ₹40000 at 5% per year for 3 years, compounded every year (in ₹).
- 9.The diagonals of a rhombus are 18 cm and 9 cm. What is its area (in square cm)?
- 10.Write 7.6 × 10⁻¹ as a decimal. =
- 11.Solve: 5(x − 4) = x + 48. What is x?
- 12.What is ∛8? =
- 13.What is the difference between the compound interest and the simple interest on ₹36100 at 10% per year for 2 years (in ₹)?
- 14.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
- 15.The length of a rectangle is 2 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
- 16.The sum of two consecutive whole numbers is 63. What is the smallest of them?
- 17.Use (a + b)(a − b) = a² − b² to find 109 × 91.
- 18.If a + b = 15 and ab = 36, what is a² + b²?
- 19.A scooter is worth ₹30100. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
- 20.What is the value of (2/9)⁻¹? =
- 21.The length of a rectangle is 2 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
- 22.Solve: 4(n − 4) = n + 5. What is n?
- 23.Use (a + b)² = a² + 2ab + b² to find 84².
- 24.What amount will ₹15000 grow to in 1 year at 12% per year compound interest (in ₹)?
- 25.A cuboid is 5 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 26.What is the value of 10⁵ × 10⁻⁶? =
- 27.A room is 4 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
- 28.What amount will ₹40800 grow to in 1 year at 20% per year compound interest (in ₹)?
- 29.Write 5¹⁴ ÷ 5⁵ as a single power 5ⁿ. What is n?
- 30.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
- 31.Find the compound interest on ₹13900 at 4% per year for 1 year, compounded every year (in ₹).
- 32.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
- 33.Find the compound interest on ₹46000 at 10% per year for 2 years, compounded every year (in ₹).
- 34.What amount will ₹44900 grow to in 2 years at 10% per year compound interest (in ₹)?
- 35.What is √5184? =
- 36.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
- 37.Use (a + b)² = a² + 2ab + b² to find 18².
- 38.Find the value of x² + 2xy + y² when x = 11 and y = 7.
- 39.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 40.What is ∛27? =
Answer key
- 5
- 83
- 7/3
- 3
- 17
- 19
- 5616
- 6305
- 81
- 0.76
- 17
- 2
- 361
- 169
- 6
- 31
- 9919
- 153
- 27090
- 9/2
- 30
- 7
- 7056
- 16800
- 90
- 1/10
- 112
- 48960
- 9
- 384
- 556
- 3
- 9660
- 54329
- 72
- 18
- 324
- 324
- 216
- 3
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