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 the difference between the compound interest and the simple interest on ₹15400 at 20% per year for 2 years (in ₹)?
- 2.The length of a rectangle is 9 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
- 3.A town has 33900 people. The population grows by 15% every year. What will the population be after 1 year?
- 4.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
- 5.Use (a + b)² = a² + 2ab + b² to find 23².
- 6.What is the value of 5⁷? =
- 7.What is the value of 5¹ × 5⁻⁶? =
- 8.How many whole numbers lie between 42² and 43²?
- 9.Find the compound interest on ₹27500 at 4% per year for 2 years, compounded every year (in ₹).
- 10.A square garden has an area of 2304 square m. How long is each side (in m)?
- 11.A town has 57600 people. The population grows by 15% every year. What will the population be after 1 year?
- 12.What is the difference between the compound interest and the simple interest on ₹57500 at 12% per year for 2 years (in ₹)?
- 13.The diagonals of a rhombus are 18 cm and 4 cm. What is its area (in square cm)?
- 14.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 15.Use (a + b)² = a² + 2ab + b² to find 48².
- 16.Solve: 3m + 15 = m + 25. What is m?
- 17.What is the value of 7⁻² (as a fraction)? =
- 18.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
- 19.What is the value of 2²? =
- 20.A cuboid is 5 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 21.The diagonals of a rhombus are 10 cm and 27 cm. What is its area (in square cm)?
- 22.A trapezium has parallel sides of 29 cm and 9 cm, and the distance between them is 10 cm. What is its area (in square cm)?
- 23.Write (4⁶)² as a single power 4ⁿ. What is n?
- 24.Solve: 4(n − 3) = 3n + 11. What is n?
- 25.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
- 26.Solve: 9p + 11 = p + 107. What is p?
- 27.Solve: 5y + 19 = 3y + 47. What is y?
- 28.Find the compound interest on ₹41600 at 5% per year for 2 years, compounded every year (in ₹).
- 29.Use (a − b)² = a² − 2ab + b² to find 28².
- 30.What is the value of 2¹⁵? =
- 31.What is the value of 2⁸? =
- 32.What is the difference between the compound interest and the simple interest on ₹16900 at 10% per year for 2 years (in ₹)?
- 33.Solve: 3(t − 2) = 2t + 11. What is t?
- 34.Write (5⁴)⁸ as a single power 5ⁿ. What is n?
- 35.Solve: 5(x − 4) = 4x + 12. What is x?
- 36.A room is 7 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
- 37.Write (3⁶)³ as a single power 3ⁿ. What is n?
- 38.Find the compound interest on ₹2500 at 20% per year for 3 years, compounded every year (in ₹).
- 39.What is the difference between the compound interest and the simple interest on ₹30000 at 12% per year for 2 years (in ₹)?
- 40.Use (a + b)² = a² + 2ab + b² to find 34².
Answer key
- 616
- 17
- 38985
- 36
- 529
- 78125
- 1/3125
- 84
- 2244
- 48
- 66240
- 828
- 36
- 64
- 2304
- 5
- 1/49
- 2646
- 4
- 170
- 135
- 190
- 12
- 23
- 5
- 12
- 14
- 4264
- 784
- 32768
- 256
- 169
- 17
- 32
- 32
- 104
- 18
- 1820
- 432
- 1156
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