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.A square garden has an area of 1444 square m. How long is each side (in m)?
- 2.What is √3721? =
- 3.A trapezium has parallel sides of 21 cm and 8 cm, and the distance between them is 12 cm. What is its area (in square cm)?
- 4.What is 44²? =
- 5.What is √2209? =
- 6.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
- 7.The length of a rectangle is 8 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
- 8.Solve: m/2 + m/5 = 42. What is m?
- 9.A cuboid is 10 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 10.A square garden has an area of 729 square m. How long is each side (in m)?
- 11.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
- 12.Solve: 3n + 12 = 2n + 14. What is n?
- 13.Solve: t/5 + t/3 = 56. What is t?
- 14.Write 5.6 × 10⁻⁴ as a decimal. =
- 15.Solve: 4(y − 5) = y + 37. What is y?
- 16.The diagonals of a rhombus are 24 cm and 24 cm. What is its area (in square cm)?
- 17.Find the compound interest on ₹55600 at 10% per year for 2 years, compounded every year (in ₹).
- 18.Write (3⁹)⁶ as a single power 3ⁿ. What is n?
- 19.Which of these is a perfect cube? (a) 89 (b) 96 (c) 64
- 20.Write 2.4 × 10⁻¹ as a decimal. =
- 21.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
- 22.Which of these is a perfect cube? (a) 1125 (b) 1160 (c) 1000
- 23.The sum of four consecutive whole numbers is 46. What is the largest of them?
- 24.Solve: p/6 + p/4 = 40. What is p?
- 25.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
- 26.Write 2¹¹ ÷ 2⁸ as a single power 2ⁿ. What is n?
- 27.A trapezium has an area of 117 square cm. Its parallel sides are 30 cm and 9 cm. What is the distance between them (in cm)?
- 28.A father is 42 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
- 29.What is the difference between the compound interest and the simple interest on ₹14000 at 5% per year for 2 years (in ₹)?
- 30.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
- 31.The diagonals of a rhombus are 26 cm and 8 cm. What is its area (in square cm)?
- 32.Find the value of x² − y² when x = 13 and y = 6.
- 33.Use (a − b)² = a² − 2ab + b² to find 39².
- 34.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
- 35.Solve: 6(p − 3) = p + 47. What is p?
- 36.Which of these is a perfect square? (a) 177 (b) 180 (c) 169
- 37.What is the value of 5⁴ × 5⁻¹? =
- 38.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
- 39.What is 64²? =
- 40.Find the compound interest on ₹42500 at 12% per year for 2 years, compounded every year (in ₹).
Answer key
- 38
- 61
- 174
- 1936
- 47
- 256
- 23
- 60
- 304
- 27
- 16
- 2
- 105
- 0.00056
- 19
- 288
- 11676
- 54
- 64
- 0.24
- 1176
- 1000
- 13
- 96
- 4
- 3
- 6
- 7
- 35
- 729
- 104
- 133
- 1521
- 8
- 13
- 169
- 125
- 324
- 4096
- 10812
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