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 √3481? =
- 2.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
- 3.What is the value of 10² × 10⁻²? =
- 4.Find the compound interest on ₹4500 at 12% per year for 1 year, compounded every year (in ₹).
- 5.Find the compound interest on ₹19200 at 25% per year for 3 years, compounded every year (in ₹).
- 6.A room is 5 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
- 7.What is the smallest whole number by which 18 must be divided to get a perfect square?
- 8.Find the compound interest on ₹10000 at 8% per year for 1 year, compounded every year (in ₹).
- 9.Use (a + b)(a − b) = a² − b² to find 99 × 81.
- 10.What amount will ₹8400 grow to in 2 years at 5% per year compound interest (in ₹)?
- 11.Solve: 8p + 17 = 3p + 72. What is p?
- 12.Use a² − b² = (a + b)(a − b) to find 74² − 62².
- 13.What is √6724? =
- 14.Which of these is a perfect square? (a) 396 (b) 398 (c) 361
- 15.Solve: m/2 + m/6 = 20. What is m?
- 16.The sum of two consecutive whole numbers is 47. What is the smallest of them?
- 17.Use (a + b)(a − b) = a² − b² to find 26 × 14.
- 18.Which of these is a perfect square? (a) 1424 (b) 1426 (c) 1369
- 19.Write 3.9 × 10⁻⁴ as a decimal. =
- 20.What is 4³? =
- 21.If a + b = 14 and ab = 33, what is a² + b²?
- 22.A cuboid is 8 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 23.What amount will ₹42000 grow to in 3 years at 10% per year compound interest (in ₹)?
- 24.What is the value of 10¹ × 10⁻⁵? =
- 25.A room is 5 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
- 26.A trapezium has parallel sides of 18 cm and 11 cm, and the distance between them is 12 cm. What is its area (in square cm)?
- 27.A town has 8000 people. The population grows by 5% every year. What will the population be after 3 years?
- 28.What is √2401? =
- 29.What is the difference between the compound interest and the simple interest on ₹13600 at 10% per year for 2 years (in ₹)?
- 30.Write 7¹⁴ ÷ 7⁸ as a single power 7ⁿ. What is n?
- 31.Solve: t/3 + t/2 = 25. What is t?
- 32.Use (a + b)² = a² + 2ab + b² to find 16².
- 33.Use (a − b)² = a² − 2ab + b² to find 22².
- 34.Solve: y/4 + y/5 = 18. What is y?
- 35.Solve: 5t + 9 = 2t + 51. What is t?
- 36.Write 2¹² ÷ 2³ as a single power 2ⁿ. What is n?
- 37.What is the smallest whole number by which 9 must be divided to get a perfect cube?
- 38.What is the value of (1/5)⁻²? =
- 39.Write 34,000 in standard form as 3.4 × 10ⁿ. What is n?
- 40.A trapezium has an area of 240 square cm. Its parallel sides are 18 cm and 30 cm. What is the distance between them (in cm)?
Answer key
- 59
- 3
- 1
- 540
- 18300
- 64
- 2
- 800
- 8019
- 9261
- 11
- 1632
- 82
- 361
- 30
- 23
- 364
- 1369
- 0.00039
- 64
- 130
- 314
- 55902
- 1/10000
- 72
- 174
- 9261
- 49
- 136
- 6
- 30
- 256
- 484
- 40
- 14
- 9
- 9
- 25
- 4
- 10
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