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.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
- 2.The sum of two consecutive whole numbers is 105. What is the smallest of them?
- 3.What is the difference between the compound interest and the simple interest on ₹50000 at 12% per year for 2 years (in ₹)?
- 4.Write 8.7 × 10⁻² as a decimal. =
- 5.Solve: 9p + 18 = 5p + 38. What is p?
- 6.Use (a + b)² = a² + 2ab + b² to find 47².
- 7.Write 4,900 in standard form as 4.9 × 10ⁿ. What is n?
- 8.Write (3⁶)² as a single power 3ⁿ. What is n?
- 9.A square garden has an area of 2116 square m. How long is each side (in m)?
- 10.If a + b = 3 and ab = 2, what is a² + b²?
- 11.Find the compound interest on ₹51100 at 10% per year for 1 year, compounded every year (in ₹).
- 12.What is the difference between the compound interest and the simple interest on ₹5000 at 8% per year for 2 years (in ₹)?
- 13.Write (3⁷)² as a single power 3ⁿ. What is n?
- 14.What is the value of 6⁻² (as a fraction)? =
- 15.A room is 7 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
- 16.What is 8³? =
- 17.Write 7.2 × 10⁻² as a decimal. =
- 18.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
- 19.Use (a − b)² = a² − 2ab + b² to find 29².
- 20.What is 16³? =
- 21.9.1 × 10⁴ =
- 22.Which of these is a perfect cube? (a) 343 (b) 468 (c) 384
- 23.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
- 24.Solve: m/4 + m/5 = 9. What is m?
- 25.Use (a − b)² = a² − 2ab + b² to find 13².
- 26.The sum of three consecutive whole numbers is 141. What is the smallest of them?
- 27.The sum of two consecutive whole numbers is 53. What is the largest of them?
- 28.The length of a rectangle is 1 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
- 29.Solve: 4(m − 1) = 2m + 26. What is m?
- 30.A trapezium has parallel sides of 9 cm and 19 cm, and the distance between them is 19 cm. What is its area (in square cm)?
- 31.What is the value of (3/5)⁻¹? =
- 32.What amount will ₹42500 grow to in 1 year at 10% per year compound interest (in ₹)?
- 33.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
- 34.What is the smallest whole number by which 25 must be divided to get a perfect cube?
- 35.What amount will ₹47500 grow to in 2 years at 4% per year compound interest (in ₹)?
- 36.Use (a + b)² = a² + 2ab + b² to find 107².
- 37.How many whole numbers lie between 27² and 28²?
- 38.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
- 39.Solve: 4(t − 2) = 3t + 8. What is t?
- 40.What amount will ₹17300 grow to in 1 year at 15% per year compound interest (in ₹)?
Answer key
- 5044
- 52
- 720
- 0.087
- 5
- 2209
- 3
- 12
- 46
- 5
- 5110
- 32
- 14
- 1/36
- 60
- 512
- 0.072
- 2904
- 841
- 4096
- 91000
- 343
- 10
- 20
- 169
- 46
- 27
- 8
- 15
- 266
- 5/3
- 46750
- 10
- 25
- 51376
- 11449
- 54
- 9
- 16
- 19895
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