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.Solve: y/6 + y/2 = 24. What is y?
- 2.Find the compound interest on ₹60000 at 12% per year for 2 years, compounded every year (in ₹).
- 3.A square garden has an area of 2916 square m. How long is each side (in m)?
- 4.What is √7744? =
- 5.How many whole numbers lie between 8² and 9²?
- 6.Write 7.9 × 10⁻³ as a decimal. =
- 7.A trapezium has an area of 190 square cm. Its parallel sides are 5 cm and 14 cm. What is the distance between them (in cm)?
- 8.What is the value of 2¹ × 2⁻²? =
- 9.A scooter is worth ₹2000. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
- 10.Use (a − b)² = a² − 2ab + b² to find 79².
- 11.What is the value of 3⁶? =
- 12.A trapezium has parallel sides of 16 cm and 8 cm, and the distance between them is 13 cm. What is its area (in square cm)?
- 13.Use (a + b)(a − b) = a² − b² to find 79 × 61.
- 14.A trapezium has an area of 153 square cm. Its parallel sides are 11 cm and 6 cm. What is the distance between them (in cm)?
- 15.What is √1024? =
- 16.What amount will ₹54700 grow to in 1 year at 10% per year compound interest (in ₹)?
- 17.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
- 18.What amount will ₹48200 grow to in 1 year at 8% per year compound interest (in ₹)?
- 19.Find the compound interest on ₹23000 at 10% per year for 3 years, compounded every year (in ₹).
- 20.Find the compound interest on ₹57300 at 10% per year for 1 year, compounded every year (in ₹).
- 21.Find the compound interest on ₹4300 at 5% per year for 1 year, compounded every year (in ₹).
- 22.A father is 6 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
- 23.The sum of two consecutive whole numbers is 107. What is the smallest of them?
- 24.Write 2.5 × 10⁻⁴ as a decimal. =
- 25.A trapezium has an area of 92 square cm. Its parallel sides are 21 cm and 2 cm. What is the distance between them (in cm)?
- 26.How many whole numbers lie between 26² and 27²?
- 27.What amount will ₹16700 grow to in 1 year at 20% per year compound interest (in ₹)?
- 28.Which of these is a perfect cube? (a) 152 (b) 160 (c) 125
- 29.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 30.How many whole numbers lie between 41² and 42²?
- 31.Write 2,60,00,000 in standard form as 2.6 × 10ⁿ. What is n?
- 32.What is √2601? =
- 33.Use (a + b)(a − b) = a² − b² to find 71 × 69.
- 34.Use a² − b² = (a + b)(a − b) to find 27² − 14².
- 35.What is √2500? =
- 36.A cuboid is 5 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 37.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
- 38.How many whole numbers lie between 36² and 37²?
- 39.Write 2,500 in standard form as 2.5 × 10ⁿ. What is n?
- 40.What amount will ₹18900 grow to in 2 years at 10% per year compound interest (in ₹)?
Answer key
- 36
- 15264
- 54
- 88
- 16
- 0.0079
- 20
- 1/2
- 1125
- 6241
- 729
- 156
- 4819
- 18
- 32
- 60170
- 8
- 52056
- 7613
- 5730
- 215
- 2
- 53
- 0.00025
- 8
- 52
- 20040
- 125
- 125
- 82
- 7
- 51
- 4899
- 533
- 50
- 280
- 2904
- 72
- 3
- 22869
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