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 amount will ₹48000 grow to in 3 years at 5% per year compound interest (in ₹)?
- 2.Solve: p/5 + p/2 = 56. What is p?
- 3.What amount will ₹35000 grow to in 3 years at 20% per year compound interest (in ₹)?
- 4.Solve: y/4 + y/2 = 15. What is y?
- 5.Solve: n/5 + n/2 = 49. What is n?
- 6.The length of a rectangle is 13 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
- 7.A cuboid is 13 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 8.What amount will ₹50000 grow to in 2 years at 8% per year compound interest (in ₹)?
- 9.What is the value of 10³? =
- 10.What is √6084? =
- 11.Use a² − b² = (a + b)(a − b) to find 84² − 8².
- 12.How many whole numbers lie between 10² and 11²?
- 13.What is the smallest whole number by which 320 must be multiplied to get a perfect square?
- 14.What is the smallest whole number by which 384 must be multiplied to get a perfect square?
- 15.What is the difference between the compound interest and the simple interest on ₹10000 at 12% per year for 2 years (in ₹)?
- 16.A trapezium has an area of 270 square cm. Its parallel sides are 28 cm and 8 cm. What is the distance between them (in cm)?
- 17.Solve: 3m + 14 = 2m + 21. What is m?
- 18.If a + b = 17 and ab = 72, what is a² + b²?
- 19.What amount will ₹22500 grow to in 2 years at 8% per year compound interest (in ₹)?
- 20.A trapezium has an area of 102 square cm. Its parallel sides are 16 cm and 18 cm. What is the distance between them (in cm)?
- 21.Write 4.5 × 10⁻² as a decimal. =
- 22.Which of these is a perfect cube? (a) 216 (b) 220 (c) 296
- 23.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
- 24.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
- 25.Write 560 in standard form as 5.6 × 10ⁿ. What is n?
- 26.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
- 27.Which of these is a perfect cube? (a) 546 (b) 512 (c) 594
- 28.If a + b = 6 and ab = 8, what is a² + b²?
- 29.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
- 30.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
- 31.What is the difference between the compound interest and the simple interest on ₹45400 at 10% per year for 2 years (in ₹)?
- 32.Solve: x/3 + x/4 = 42. What is x?
- 33.How many whole numbers lie between 5² and 6²?
- 34.A trapezium has an area of 344 square cm. Its parallel sides are 26 cm and 17 cm. What is the distance between them (in cm)?
- 35.Find the value of x² + 2xy + y² when x = 9 and y = 6.
- 36.What is 10³? =
- 37.If a − b = 4 and ab = 5, what is a² + b²?
- 38.A town has 13600 people. The population grows by 20% every year. What will the population be after 2 years?
- 39.The diagonals of a rhombus are 20 cm and 16 cm. What is its area (in square cm)?
- 40.A town has 29300 people. The population grows by 5% every year. What will the population be after 1 year?
Answer key
- 55566
- 80
- 60480
- 20
- 70
- 21
- 536
- 58320
- 1000
- 78
- 6992
- 20
- 5
- 6
- 144
- 15
- 7
- 145
- 26244
- 6
- 0.045
- 216
- 49
- 600
- 2
- 2
- 512
- 20
- 114
- 17
- 454
- 72
- 10
- 16
- 225
- 1000
- 26
- 19584
- 160
- 30765
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