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 sum of the first 16 odd numbers (1 + 3 + 5 + …)?
- 2.What is 65²? =
- 3.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 4.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
- 5.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
- 6.What amount will ₹41300 grow to in 1 year at 12% per year compound interest (in ₹)?
- 7.Solve: x/5 + x/3 = 24. What is x?
- 8.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
- 9.Find the compound interest on ₹3600 at 10% per year for 2 years, compounded every year (in ₹).
- 10.A trapezium has an area of 306 square cm. Its parallel sides are 30 cm and 6 cm. What is the distance between them (in cm)?
- 11.Write 23,000 in standard form as 2.3 × 10ⁿ. What is n?
- 12.Solve: 5(n − 2) = 4n + 2. What is n?
- 13.What is 6³? =
- 14.What is the value of 3¹ × 3⁻²? =
- 15.What is the smallest whole number by which 675 must be divided to get a perfect cube?
- 16.What is the difference between the compound interest and the simple interest on ₹54400 at 20% per year for 2 years (in ₹)?
- 17.Find the value of x² + 2xy + y² when x = 14 and y = 11.
- 18.How many whole numbers lie between 19² and 20²?
- 19.What amount will ₹50900 grow to in 2 years at 10% per year compound interest (in ₹)?
- 20.Use (a + b)(a − b) = a² − b² to find 89 × 71.
- 21.9.2 × 10⁴ =
- 22.What is √5041? =
- 23.Which of these is a perfect square? (a) 1600 (b) 1618 (c) 1617
- 24.Find the compound interest on ₹9900 at 25% per year for 1 year, compounded every year (in ₹).
- 25.A trapezium has an area of 50 square cm. Its parallel sides are 10 cm and 15 cm. What is the distance between them (in cm)?
- 26.Find the compound interest on ₹16300 at 12% per year for 1 year, compounded every year (in ₹).
- 27.What is 7³? =
- 28.Solve: 3p + 14 = p + 42. What is p?
- 29.What is the value of 3⁻⁵ (as a fraction)? =
- 30.What amount will ₹16000 grow to in 3 years at 15% per year compound interest (in ₹)?
- 31.What is the value of 10⁵ × 10⁻⁴? =
- 32.How many whole numbers lie between 25² and 26²?
- 33.A square garden has an area of 144 square m. How long is each side (in m)?
- 34.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
- 35.Solve: p/3 + p/5 = 40. What is p?
- 36.What amount will ₹28800 grow to in 1 year at 5% per year compound interest (in ₹)?
- 37.A cuboid is 13 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 38.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
- 39.A father is 9 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
- 40.Write 3.8 × 10⁻² as a decimal. =
Answer key
- 256
- 4225
- 125
- 13
- 9
- 46256
- 45
- 5
- 756
- 17
- 4
- 12
- 216
- 1/3
- 25
- 2176
- 625
- 38
- 61589
- 6319
- 92000
- 71
- 1600
- 2475
- 4
- 1956
- 343
- 14
- 1/243
- 24334
- 10
- 50
- 12
- 66
- 75
- 30240
- 308
- 7
- 2
- 0.038
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