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: 6(m − 2) = 5m + 3. What is m?
- 2.The sum of four consecutive whole numbers is 246. What is the largest of them?
- 3.Find the compound interest on ₹14400 at 12% per year for 1 year, compounded every year (in ₹).
- 4.Solve: 3(p − 2) = 2p + 3. What is p?
- 5.Write 5⁸ × 5⁸ as a single power 5ⁿ. What is n?
- 6.A scooter is worth ₹57700. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
- 7.Find the compound interest on ₹6000 at 10% per year for 1 year, compounded every year (in ₹).
- 8.What is the value of 2¹ × 2⁻³? =
- 9.What is 10³? =
- 10.Find the compound interest on ₹32300 at 20% per year for 2 years, compounded every year (in ₹).
- 11.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
- 12.A trapezium has an area of 495 square cm. Its parallel sides are 29 cm and 26 cm. What is the distance between them (in cm)?
- 13.Use a² − b² = (a + b)(a − b) to find 94² − 4².
- 14.A cuboid is 13 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 15.Use (a − b)² = a² − 2ab + b² to find 28².
- 16.What is the difference between the compound interest and the simple interest on ₹32300 at 10% per year for 2 years (in ₹)?
- 17.What is 49²? =
- 18.What is the difference between the compound interest and the simple interest on ₹42500 at 12% per year for 2 years (in ₹)?
- 19.Write 7⁶ ÷ 7² as a single power 7ⁿ. What is n?
- 20.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
- 21.Use (a − b)² = a² − 2ab + b² to find 26².
- 22.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
- 23.The length of a rectangle is 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
- 24.What is 20³? =
- 25.Write 9⁴ × 9² as a single power 9ⁿ. What is n?
- 26.The sum of three consecutive whole numbers is 57. What is the smallest of them?
- 27.If a − b = 3 and ab = 28, what is a² + b²?
- 28.What is the value of 6⁵? =
- 29.A cuboid is 14 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 30.If a + b = 5 and ab = 4, what is a² + b²?
- 31.Write 22,000 in standard form as 2.2 × 10ⁿ. What is n?
- 32.Use (a + b)(a − b) = a² − b² to find 72 × 68.
- 33.A town has 52000 people. The population grows by 15% every year. What will the population be after 2 years?
- 34.What is the value of 3⁻⁴ (as a fraction)? =
- 35.How many whole numbers lie between 45² and 46²?
- 36.What is √4900? =
- 37.The diagonals of a rhombus are 8 cm and 4 cm. What is its area (in square cm)?
- 38.The sum of three consecutive whole numbers is 132. What is the largest of them?
- 39.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
- 40.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
Answer key
- 15
- 63
- 1728
- 9
- 16
- 46160
- 600
- 1/4
- 1000
- 14212
- 3456
- 18
- 8820
- 232
- 784
- 323
- 2401
- 612
- 4
- 9261
- 676
- 7
- 7
- 8000
- 6
- 18
- 65
- 7776
- 492
- 17
- 4
- 4896
- 68770
- 1/81
- 90
- 70
- 16
- 45
- 6
- 2
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