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.Write 7⁶ × 7⁸ as a single power 7ⁿ. What is n?
- 2.Use (a + b)² = a² + 2ab + b² to find 86².
- 3.What is the value of (7/9)⁻¹? =
- 4.What is √1024? =
- 5.The length of a rectangle is 2 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
- 6.A room is 7 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
- 7.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
- 8.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
- 9.Find the compound interest on ₹37500 at 4% per year for 2 years, compounded every year (in ₹).
- 10.What is the difference between the compound interest and the simple interest on ₹19300 at 10% per year for 2 years (in ₹)?
- 11.A scooter is worth ₹35900. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
- 12.What is the difference between the compound interest and the simple interest on ₹56400 at 5% per year for 2 years (in ₹)?
- 13.Solve: t/5 + t/4 = 18. What is t?
- 14.The sum of four consecutive whole numbers is 174. What is the largest of them?
- 15.9.6 × 10⁶ =
- 16.Write 2⁴ × 2² as a single power 2ⁿ. What is n?
- 17.What is the difference between the compound interest and the simple interest on ₹52500 at 8% per year for 2 years (in ₹)?
- 18.What amount will ₹56000 grow to in 3 years at 15% per year compound interest (in ₹)?
- 19.Solve: 5(y − 1) = y + 43. What is y?
- 20.What is the value of 6⁴? =
- 21.What amount will ₹40900 grow to in 1 year at 8% per year compound interest (in ₹)?
- 22.What is the value of 10⁵ × 10⁻¹? =
- 23.Which of these is a perfect cube? (a) 198 (b) 139 (c) 125
- 24.Which of these is a perfect square? (a) 1338 (b) 1296 (c) 1367
- 25.A square garden has an area of 25 square m. How long is each side (in m)?
- 26.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
- 27.A trapezium has an area of 120 square cm. Its parallel sides are 6 cm and 18 cm. What is the distance between them (in cm)?
- 28.Write 7⁵ × 7² as a single power 7ⁿ. What is n?
- 29.Solve: 4y + 5 = 3y + 20. What is y?
- 30.A trapezium has parallel sides of 10 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
- 31.Solve: 5x + 19 = x + 71. What is x?
- 32.Solve: y/2 + y/3 = 15. What is y?
- 33.What is the value of 10⁴ × 10⁻⁴? =
- 34.What is 73²? =
- 35.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
- 36.Find the compound interest on ₹24000 at 5% per year for 3 years, compounded every year (in ₹).
- 37.Write (4⁵)⁵ as a single power 4ⁿ. What is n?
- 38.A cuboid is 3 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 39.Find the compound interest on ₹36000 at 8% per year for 1 year, compounded every year (in ₹).
- 40.Write (6⁸)⁴ as a single power 6ⁿ. What is n?
Answer key
- 14
- 7396
- 9/7
- 32
- 13
- 140
- 10
- 256
- 3060
- 193
- 28720
- 141
- 40
- 45
- 9600000
- 6
- 336
- 85169
- 12
- 1296
- 44172
- 10000
- 125
- 1296
- 5
- 2
- 10
- 7
- 15
- 13
- 13
- 18
- 1
- 5329
- 25
- 3783
- 25
- 92
- 2880
- 32
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