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.Which of these is a perfect cube? (a) 3976 (b) 3375 (c) 3863
- 2.A father is 10 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
- 3.What is the difference between the compound interest and the simple interest on ₹32700 at 20% per year for 2 years (in ₹)?
- 4.What is the value of 5⁻⁴ (as a fraction)? =
- 5.Solve: 5m + 5 = 2m + 50. What is m?
- 6.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 7.How many whole numbers lie between 29² and 30²?
- 8.What is 6³? =
- 9.A room is 7 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
- 10.What is the value of 3⁴? =
- 11.Use (a − b)² = a² − 2ab + b² to find 67².
- 12.What is 5³? =
- 13.Which of these is a perfect square? (a) 585 (b) 576 (c) 597
- 14.What is the difference between the compound interest and the simple interest on ₹14600 at 20% per year for 2 years (in ₹)?
- 15.Solve: 5(m − 2) = 3m + 12. What is m?
- 16.What is √400? =
- 17.The length of a rectangle is 14 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
- 18.What is the difference between the compound interest and the simple interest on ₹14000 at 15% per year for 2 years (in ₹)?
- 19.A father is 27 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
- 20.Use (a + b)(a − b) = a² − b² to find 47 × 33.
- 21.What is the difference between the compound interest and the simple interest on ₹12000 at 25% per year for 2 years (in ₹)?
- 22.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
- 23.A trapezium has an area of 64 square cm. Its parallel sides are 13 cm and 3 cm. What is the distance between them (in cm)?
- 24.What is √121? =
- 25.A scooter is worth ₹8000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
- 26.Solve: 5(y − 3) = 3y + 5. What is y?
- 27.Use (a − b)² = a² − 2ab + b² to find 32².
- 28.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
- 29.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
- 30.What is the value of (8/9)⁻¹? =
- 31.Solve: 4(p − 1) = 3p + 9. What is p?
- 32.The diagonals of a rhombus are 20 cm and 23 cm. What is its area (in square cm)?
- 33.What is the value of 2⁻³ (as a fraction)? =
- 34.Use (a − b)² = a² − 2ab + b² to find 73².
- 35.What is the value of 10⁴ × 10⁻¹? =
- 36.What is the smallest whole number by which 112 must be divided to get a perfect square?
- 37.The sum of three consecutive whole numbers is 72. What is the largest of them?
- 38.Solve: 3(y − 3) = y + 19. What is y?
- 39.What is the value of 5⁶ × 5⁻³? =
- 40.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
Answer key
- 3375
- 6
- 1308
- 1/625
- 15
- 27
- 58
- 216
- 130
- 81
- 4489
- 125
- 576
- 584
- 11
- 20
- 10
- 315
- 4
- 1551
- 750
- 5
- 8
- 11
- 4913
- 10
- 1024
- 1176
- 225
- 9/8
- 13
- 230
- 1/8
- 5329
- 1000
- 7
- 25
- 14
- 125
- 64
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