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 trapezium has parallel sides of 28 cm and 10 cm, and the distance between them is 18 cm. What is its area (in square cm)?
- 2.The sum of three consecutive whole numbers is 42. What is the largest of them?
- 3.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
- 4.What is the difference between the compound interest and the simple interest on ₹46000 at 5% per year for 2 years (in ₹)?
- 5.Write 8,30,000 in standard form as 8.3 × 10ⁿ. What is n?
- 6.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
- 7.A trapezium has an area of 294 square cm. Its parallel sides are 27 cm and 15 cm. What is the distance between them (in cm)?
- 8.A trapezium has an area of 117 square cm. Its parallel sides are 10 cm and 16 cm. What is the distance between them (in cm)?
- 9.A cuboid is 8 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 10.Find the compound interest on ₹23800 at 15% per year for 1 year, compounded every year (in ₹).
- 11.Solve: 6(m − 4) = 2m + 12. What is m?
- 12.What is 19³? =
- 13.What is the value of 8⁻³ (as a fraction)? =
- 14.What is the difference between the compound interest and the simple interest on ₹13200 at 25% per year for 2 years (in ₹)?
- 15.How many whole numbers lie between 39² and 40²?
- 16.The length of a rectangle is 13 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
- 17.The length of a rectangle is 6 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
- 18.Use a² − b² = (a + b)(a − b) to find 88² − 65².
- 19.Solve: 5(n − 2) = 2n + 8. What is n?
- 20.What is the value of 2¹⁵? =
- 21.What is the value of 3² × 3⁻³? =
- 22.Write 9.7 × 10⁻¹ as a decimal. =
- 23.Write 2⁵ × 2⁶ as a single power 2ⁿ. What is n?
- 24.What is the value of 5⁴ × 5⁻²? =
- 25.Use (a + b)(a − b) = a² − b² to find 93 × 87.
- 26.A trapezium has an area of 340 square cm. Its parallel sides are 6 cm and 28 cm. What is the distance between them (in cm)?
- 27.Write 3⁹ ÷ 3⁷ as a single power 3ⁿ. What is n?
- 28.Write 8.7 × 10⁻¹ as a decimal. =
- 29.Solve: 5x + 3 = x + 43. What is x?
- 30.What is the value of 3⁹? =
- 31.Write 9.6 × 10⁻³ as a decimal. =
- 32.Write 3.7 × 10⁻⁴ as a decimal. =
- 33.Write 6.8 × 10⁻² as a decimal. =
- 34.What is the value of 5⁻³ (as a fraction)? =
- 35.Find the value of x² − y² when x = 5 and y = 4.
- 36.What is √1156? =
- 37.Find the compound interest on ₹35600 at 12% per year for 1 year, compounded every year (in ₹).
- 38.Solve: 5m + 2 = 3m + 24. What is m?
- 39.Write 8.7 × 10⁻³ as a decimal. =
- 40.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
Answer key
- 342
- 15
- 5
- 115
- 5
- 19
- 14
- 9
- 264
- 3570
- 9
- 6859
- 1/512
- 825
- 78
- 29
- 7
- 3519
- 6
- 32768
- 1/3
- 0.97
- 11
- 25
- 8091
- 20
- 2
- 0.87
- 10
- 19683
- 0.0096
- 0.00037
- 0.068
- 1/125
- 9
- 34
- 4272
- 11
- 0.0087
- 96
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