# Arithmetic - math word problems

1. Rectangle Area of rectangle is 3002. Its length is 41 larger than the width. What are the dimensions of the rectangle?
2. Equilateral cylinder Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 199 cm3 . Calculate the surface area of the cylinder.
3. Bits, bytes Calculate how many different numbers can be encoded in 16-bit binary word?
4. Kids How many different ways can sit 8 boys and 3 girls in line, if girls want to sit on the edge?
5. Similarity n-gon 9-gones ABCDEFGHI and A'B'C'D'E'F'G'H'I' are similar. The area of 9-gon ABCDEFGHI is S1=190 dm2 and the diagonal length GD is 32 dm. Calculate area of the 9-gon A'B'C'D'E'F'G'H'I' if G'D' = 13 dm.
6. Geometric mean Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines.
7. Oil rig Oil drilling rig is 23 meters height and fix the ropes which ends are 7 meters away from the foot of the tower. How long are these ropes?
8. Tiles From how many tiles 20 cm by 30 cm we can build a square of maximum dimensions, if we have maximum 881 tiles.
9. Certificate There is 31 students in a class. From mathematics was'nt worse mark than 2. Average mark in mathematics was 2. How many students have mark 1 and how many mark 2?
10. Iron sphere Iron sphere has weight 100 kg and density ρ = 7600 kg/m3. Calculate the volume, surface and diameter of the sphere.
11. Cylinder - area The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of cylinder if its volume is 2 m3.
12. Collective irresponsibility At the Internet, time is very uncomfortable for the state that no more gaffe or waste is no longer possible to hush up as if people were at home with only two television channels censored. An example of the effectiveness of state can be Bridge at Komořan
13. Height Calculate height of the equilateral triangle if its perimeter is 8?
14. University bubble You'll notice that the college up slowly every other high school. In Slovakia/Czech republic a lot of people studying political science, mass media communication, social work, many sorts of management MBA. Calculate how many times more earns clever 25-year
15. Chord In a circle with radius r=60 cm is chord 4× longer than its distance from the center. What is the length of the chord?
16. Right trapezoid The right trapezoid has bases 3.2 cm and 62 mm long. The shorter leg has a length 0.25 dm. Calculate the lengths of the diagonals and the second leg.
17. Commitee A class consists of 6 males and 7 females. How many committees of 7 are possible if the committee must consist of 2 males and 5 females?
18. Deposit If you deposit 719 euros the beginning of each year, how much money we have at 1.3% (compound) interest after 9 years?
19. DIY press Under socialism regime was in some socialist countries to own a typewriter requires special permission. That has hindered the spread of DIY literature (manually transcribed through carbon copy paper for typewriters). Calculate how many typewriters today.
20. Salary Calculate equivalent annual salary to hourly salary \$ 19. Assume a 42-hour work week.

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