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 32²? =
- 2.Find the compound interest on ₹35200 at 25% per year for 3 years, compounded every year (in ₹).
- 3.What is ∛3375? =
- 4.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 5.Solve: 6(p − 5) = p + 15. What is p?
- 6.Find the value of x² − y² when x = 3 and y = 1.
- 7.What is 18³? =
- 8.The diagonals of a rhombus are 10 cm and 7 cm. What is its area (in square cm)?
- 9.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
- 10.Use (a − b)² = a² − 2ab + b² to find 48².
- 11.A scooter is worth ₹38400. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
- 12.Use (a + b)(a − b) = a² − b² to find 27 × 13.
- 13.Use (a + b)(a − b) = a² − b² to find 34 × 26.
- 14.Write 9.2 × 10⁻³ as a decimal. =
- 15.4.4 × 10⁶ =
- 16.Find the compound interest on ₹5900 at 12% per year for 1 year, compounded every year (in ₹).
- 17.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
- 18.Use (a − b)² = a² − 2ab + b² to find 79².
- 19.How many whole numbers lie between 50² and 51²?
- 20.What is the smallest whole number by which 686 must be multiplied to get a perfect square?
- 21.What is the value of 2⁶ × 2⁻⁶? =
- 22.Write 1.1 × 10⁻¹ as a decimal. =
- 23.What is the difference between the compound interest and the simple interest on ₹32400 at 25% per year for 2 years (in ₹)?
- 24.What is ∛2197? =
- 25.What is the difference between the compound interest and the simple interest on ₹55200 at 20% per year for 2 years (in ₹)?
- 26.Solve: 6(n − 1) = n + 39. What is n?
- 27.How many whole numbers lie between 6² and 7²?
- 28.How many whole numbers lie between 48² and 49²?
- 29.What amount will ₹25000 grow to in 2 years at 12% per year compound interest (in ₹)?
- 30.Use (a + b)(a − b) = a² − b² to find 29 × 11.
- 31.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 32.A father is 24 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?
- 33.Write 7.2 × 10⁻⁴ as a decimal. =
- 34.Use (a + b)² = a² + 2ab + b² to find 66².
- 35.What is the value of 3⁵ × 3⁻⁶? =
- 36.What is the value of 10³? =
- 37.A father is 7 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
- 38.Find the compound interest on ₹34400 at 8% per year for 1 year, compounded every year (in ₹).
- 39.A trapezium has parallel sides of 21 cm and 25 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 40.How many whole numbers lie between 40² and 41²?
Answer key
- 1024
- 33550
- 15
- 216
- 9
- 8
- 5832
- 35
- 12
- 2304
- 16200
- 351
- 884
- 0.0092
- 4400000
- 708
- 4
- 6241
- 100
- 14
- 1
- 0.11
- 2025
- 13
- 2208
- 9
- 12
- 96
- 31360
- 319
- 8
- 9
- 0.00072
- 4356
- 1/3
- 1000
- 2
- 2752
- 184
- 80
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