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 amount will ₹16000 grow to in 3 years at 10% per year compound interest (in ₹)?
- 2.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
- 3.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
- 4.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
- 5.Use (a − b)² = a² − 2ab + b² to find 36².
- 6.Solve: 3t + 3 = 2t + 18. What is t?
- 7.What amount will ₹18300 grow to in 1 year at 20% per year compound interest (in ₹)?
- 8.The diagonals of a rhombus are 24 cm and 8 cm. What is its area (in square cm)?
- 9.What amount will ₹19000 grow to in 3 years at 10% per year compound interest (in ₹)?
- 10.What is the value of 10²? =
- 11.Which of these is a perfect square? (a) 511 (b) 484 (c) 497
- 12.What is the value of 3⁻⁴ (as a fraction)? =
- 13.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
- 14.What is ∛15625? =
- 15.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
- 16.The sum of four consecutive whole numbers is 198. What is the largest of them?
- 17.What amount will ₹11400 grow to in 1 year at 25% per year compound interest (in ₹)?
- 18.What is √8281? =
- 19.Use (a − b)² = a² − 2ab + b² to find 87².
- 20.The sum of four consecutive whole numbers is 58. What is the smallest of them?
- 21.What is the smallest whole number by which 960 must be multiplied to get a perfect square?
- 22.What is 9³? =
- 23.What is the value of 6²? =
- 24.A scooter is worth ₹12600. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
- 25.What is the difference between the compound interest and the simple interest on ₹47200 at 15% per year for 2 years (in ₹)?
- 26.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 27.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
- 28.Use a² − b² = (a + b)(a − b) to find 97² − 49².
- 29.Which of these is a perfect square? (a) 361 (b) 396 (c) 372
- 30.Find the value of x² + 2xy + y² when x = 13 and y = 10.
- 31.What is the value of (1/8)⁻²? =
- 32.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
- 33.What is the difference between the compound interest and the simple interest on ₹27500 at 4% per year for 2 years (in ₹)?
- 34.Solve: p/5 + p/3 = 8. What is p?
- 35.What is the value of 5⁵ × 5⁻⁶? =
- 36.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
- 37.Find the compound interest on ₹54300 at 15% per year for 1 year, compounded every year (in ₹).
- 38.A father is 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
- 39.What is ∛9261? =
- 40.Use (a + b)² = a² + 2ab + b² to find 96².
Answer key
- 21296
- 46305
- 11
- 2
- 1296
- 15
- 21960
- 96
- 25289
- 100
- 484
- 1/81
- 3
- 25
- 60
- 51
- 14250
- 91
- 7569
- 13
- 15
- 729
- 36
- 10206
- 1062
- 216
- 2400
- 7008
- 361
- 529
- 64
- 726
- 44
- 15
- 1/5
- 196
- 8145
- 7
- 21
- 9216
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