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 ₹51600 at 25% per year for 2 years (in ₹)?
- 2.The sum of three consecutive whole numbers is 156. What is the smallest of them?
- 3.What is √3481? =
- 4.Solve: 9p + 20 = 7p + 26. What is p?
- 5.Which of these is a perfect square? (a) 1024 (b) 1033 (c) 1068
- 6.A father is 17 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
- 7.If a + b = 3 and ab = 2, what is a² + b²?
- 8.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 9.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
- 10.Find the value of x² − 2xy + y² when x = 11 and y = 8.
- 11.Solve: 5(t − 3) = t + 13. What is t?
- 12.Which of these is a perfect square? (a) 911 (b) 908 (c) 900
- 13.A town has 25600 people. The population grows by 8% every year. What will the population be after 1 year?
- 14.Solve: n/3 + n/6 = 12. What is n?
- 15.A cuboid is 5 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
- 16.4.8 × 10³ =
- 17.What is 19³? =
- 18.The diagonals of a rhombus are 26 cm and 24 cm. What is its area (in square cm)?
- 19.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
- 20.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
- 21.What is the value of 4⁻⁴ (as a fraction)? =
- 22.A father is 12 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
- 23.Use (a + b)(a − b) = a² − b² to find 65 × 55.
- 24.Find the compound interest on ₹39500 at 12% per year for 1 year, compounded every year (in ₹).
- 25.Write 5⁷ × 5⁴ as a single power 5ⁿ. What is n?
- 26.What is the value of 5²? =
- 27.What is the difference between the compound interest and the simple interest on ₹22000 at 15% per year for 2 years (in ₹)?
- 28.Use a² − b² = (a + b)(a − b) to find 59² − 13².
- 29.Write (5²)⁹ as a single power 5ⁿ. What is n?
- 30.What is ∛125? =
- 31.The diagonals of a rhombus are 4 cm and 12 cm. What is its area (in square cm)?
- 32.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
- 33.What is the value of 4⁷? =
- 34.Which of these is a perfect cube? (a) 177 (b) 125 (c) 141
- 35.What is 79²? =
- 36.What is the value of 6²? =
- 37.Solve: 4x + 17 = 2x + 39. What is x?
- 38.Solve: t/4 + t/3 = 14. What is t?
- 39.Find the compound interest on ₹4700 at 10% per year for 1 year, compounded every year (in ₹).
- 40.A trapezium has parallel sides of 11 cm and 19 cm, and the distance between them is 3 cm. What is its area (in square cm)?
Answer key
- 3225
- 51
- 59
- 3
- 1024
- 11
- 5
- 64
- 12
- 9
- 7
- 900
- 27648
- 24
- 258
- 4800
- 6859
- 312
- 14
- 25
- 1/256
- 9
- 3575
- 4740
- 11
- 25
- 495
- 3312
- 18
- 5
- 24
- 2
- 16384
- 125
- 6241
- 36
- 11
- 24
- 470
- 45
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