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 cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
- 2.A room is 5 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
- 3.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
- 4.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 5.What amount will ₹32000 grow to in 3 years at 5% per year compound interest (in ₹)?
- 6.What is the value of 10⁻³ (as a fraction)? =
- 7.Use (a + b)² = a² + 2ab + b² to find 91².
- 8.What is ∛5832? =
- 9.Solve: 3(m − 2) = 2m + 7. What is m?
- 10.What is 22²? =
- 11.What is 71²? =
- 12.A town has 13400 people. The population grows by 12% every year. What will the population be after 1 year?
- 13.The sum of two consecutive whole numbers is 31. What is the largest of them?
- 14.Which of these is a perfect cube? (a) 1649 (b) 1331 (c) 1336
- 15.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
- 16.Write 9⁷ × 9² as a single power 9ⁿ. What is n?
- 17.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
- 18.What is 39²? =
- 19.What is 19³? =
- 20.What is the value of 7⁻³ (as a fraction)? =
- 21.What is the value of 10¹ × 10⁻⁵? =
- 22.Solve: t/5 + t/2 = 28. What is t?
- 23.Solve: 6y + 11 = 4y + 39. What is y?
- 24.Use (a + b)² = a² + 2ab + b² to find 34².
- 25.Which of these is a perfect cube? (a) 1238 (b) 1123 (c) 1000
- 26.What amount will ₹29000 grow to in 1 year at 20% per year compound interest (in ₹)?
- 27.What is 86²? =
- 28.What is 18³? =
- 29.What amount will ₹40000 grow to in 3 years at 15% per year compound interest (in ₹)?
- 30.Find the compound interest on ₹24000 at 15% per year for 3 years, compounded every year (in ₹).
- 31.What is the value of 2² × 2⁻¹? =
- 32.What is the smallest whole number by which 4 must be divided to get a perfect cube?
- 33.6.4 × 10⁷ =
- 34.What is the value of (1/3)⁻²? =
- 35.The sum of two consecutive whole numbers is 77. What is the largest of them?
- 36.The sum of four consecutive whole numbers is 170. What is the smallest of them?
- 37.What amount will ₹11200 grow to in 3 years at 25% per year compound interest (in ₹)?
- 38.The sum of three consecutive whole numbers is 87. What is the smallest of them?
- 39.Solve: 5(m − 4) = m + 44. What is m?
- 40.What is the value of 6⁵? =
Answer key
- 12
- 72
- 529
- 8
- 37044
- 1/1000
- 8281
- 18
- 13
- 484
- 5041
- 15008
- 16
- 1331
- 1014
- 9
- 150
- 1521
- 6859
- 1/343
- 1/10000
- 40
- 14
- 1156
- 1000
- 34800
- 7396
- 5832
- 60835
- 12501
- 2
- 4
- 64000000
- 9
- 39
- 41
- 21875
- 28
- 16
- 7776
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