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.Which of these is a perfect square? (a) 115 (b) 119 (c) 100
- 2.Write 3,50,000 in standard form as 3.5 × 10ⁿ. What is n?
- 3.Solve: 6n + 1 = 5n + 8. What is n?
- 4.A square garden has an area of 1089 square m. How long is each side (in m)?
- 5.What is the smallest whole number by which 25 must be divided to get a perfect cube?
- 6.What is ∛216? =
- 7.What is ∛64? =
- 8.Find the compound interest on ₹42900 at 10% per year for 2 years, compounded every year (in ₹).
- 9.What is the value of 10³ × 10⁻⁴? =
- 10.What amount will ₹13000 grow to in 1 year at 4% per year compound interest (in ₹)?
- 11.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
- 12.What is the smallest whole number by which 252 must be divided to get a perfect square?
- 13.What is the value of 3⁵ × 3⁻⁴? =
- 14.The length of a rectangle is 5 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
- 15.A square garden has an area of 1296 square m. How long is each side (in m)?
- 16.What is the value of 5⁶ × 5⁻²? =
- 17.Find the compound interest on ₹4200 at 12% per year for 1 year, compounded every year (in ₹).
- 18.What is the smallest whole number by which 117 must be multiplied to get a perfect square?
- 19.What is 34²? =
- 20.What is the difference between the compound interest and the simple interest on ₹2000 at 15% per year for 2 years (in ₹)?
- 21.Solve: 9x + 18 = x + 58. What is x?
- 22.A trapezium has an area of 261 square cm. Its parallel sides are 24 cm and 5 cm. What is the distance between them (in cm)?
- 23.Find the value of x² − 2xy + y² when x = 7 and y = 1.
- 24.A town has 28400 people. The population grows by 25% every year. What will the population be after 2 years?
- 25.The length of a rectangle is 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
- 26.Which of these is a perfect cube? (a) 3729 (b) 3576 (c) 3375
- 27.A town has 8800 people. The population grows by 25% every year. What will the population be after 1 year?
- 28.Find the value of x² + 2xy + y² when x = 11 and y = 2.
- 29.What is the value of 8⁴? =
- 30.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
- 31.A cuboid is 8 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 32.Find the value of x² − 2xy + y² when x = 14 and y = 8.
- 33.What is 7³? =
- 34.Which of these is a perfect cube? (a) 1442 (b) 1380 (c) 1331
- 35.What is 40²? =
- 36.Which of these is a perfect square? (a) 192 (b) 177 (c) 169
- 37.A father is 14 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
- 38.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
- 39.Solve: n/5 + n/3 = 32. What is n?
- 40.What is the value of 2¹⁵? =
Answer key
- 100
- 5
- 7
- 33
- 25
- 6
- 4
- 9009
- 1/10
- 13520
- 19
- 7
- 3
- 11
- 36
- 625
- 504
- 13
- 1156
- 45
- 5
- 18
- 36
- 44375
- 7
- 3375
- 11000
- 169
- 4096
- 7
- 340
- 36
- 343
- 1331
- 1600
- 169
- 11
- 3
- 60
- 32768
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