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.How many whole numbers lie between 16² and 17²?
- 2.What is the value of 8⁴? =
- 3.A trapezium has an area of 48 square cm. Its parallel sides are 21 cm and 11 cm. What is the distance between them (in cm)?
- 4.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
- 5.The diagonals of a rhombus are 8 cm and 8 cm. What is its area (in square cm)?
- 6.How many whole numbers lie between 13² and 14²?
- 7.What is √9216? =
- 8.What is √1681? =
- 9.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 10.What is √4761? =
- 11.A town has 3100 people. The population grows by 8% every year. What will the population be after 1 year?
- 12.What amount will ₹28800 grow to in 2 years at 25% per year compound interest (in ₹)?
- 13.What is the difference between the compound interest and the simple interest on ₹12500 at 12% per year for 2 years (in ₹)?
- 14.Find the compound interest on ₹37100 at 5% per year for 1 year, compounded every year (in ₹).
- 15.Use (a − b)² = a² − 2ab + b² to find 93².
- 16.Solve: 5(y − 4) = y + 24. What is y?
- 17.What amount will ₹21900 grow to in 2 years at 10% per year compound interest (in ₹)?
- 18.What is √225? =
- 19.What amount will ₹24500 grow to in 2 years at 10% per year compound interest (in ₹)?
- 20.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
- 21.What amount will ₹2100 grow to in 1 year at 20% per year compound interest (in ₹)?
- 22.Which of these is a perfect cube? (a) 286 (b) 216 (c) 221
- 23.A trapezium has parallel sides of 30 cm and 29 cm, and the distance between them is 4 cm. What is its area (in square cm)?
- 24.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
- 25.Use (a − b)² = a² − 2ab + b² to find 41².
- 26.Find the compound interest on ₹24000 at 15% per year for 3 years, compounded every year (in ₹).
- 27.Write 4¹⁶ ÷ 4⁷ as a single power 4ⁿ. What is n?
- 28.Write 1.3 × 10⁻⁴ as a decimal. =
- 29.A square garden has an area of 2704 square m. How long is each side (in m)?
- 30.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
- 31.What is √729? =
- 32.What is √5476? =
- 33.Use a² − b² = (a + b)(a − b) to find 30² − 10².
- 34.What is 58²? =
- 35.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
- 36.A trapezium has an area of 112 square cm. Its parallel sides are 9 cm and 5 cm. What is the distance between them (in cm)?
- 37.Which of these is a perfect cube? (a) 1000 (b) 1012 (c) 1210
- 38.A square garden has an area of 2601 square m. How long is each side (in m)?
- 39.A father is 26 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
- 40.Find the compound interest on ₹38400 at 5% per year for 2 years, compounded every year (in ₹).
Answer key
- 32
- 4096
- 3
- 9
- 32
- 26
- 96
- 41
- 8
- 69
- 3348
- 45000
- 180
- 1855
- 8649
- 11
- 26499
- 15
- 29645
- 10
- 2520
- 216
- 118
- 294
- 1681
- 12501
- 9
- 0.00013
- 52
- 16
- 27
- 74
- 800
- 3364
- 196
- 16
- 1000
- 51
- 8
- 3936
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