# Arithmetic - math word problems

1. Comparing powers How many times is number 56 larger than number 46?
2. Leg Determine the area of a trapezoid with bases 71 and 42 and height is 4 shorter than the its leg.
3. Sum-log The sum of two numbers is 32, the sum of their logarithms (base 10) is 2.2. Determine these numbers.
4. Pizza Pizza with a diameter 50 cm have weight 559 g. What diameter will have a pizza weighing 855 g if it is make from the same cloth (same thickness....) and same decorated?
5. Double percent What is 80% of 60% of 2800?
6. Shaving Mathematical problem from Sunday evening. If the beard is growing at 0.52 mm per day and that my length is 16.8 mm, how long I don't shave?
7. Two cars Car A1 goes at average speed of 106 km/h and the second car A2 goes at 103 km/h. How many second will it take car A1 to circulate car A2? Assume that both cars are 5 meters long and the safety gap between cars is 1.5 meters.
8. MPG 252 miles a week fills up twice a week. Each fill is 38 gallons. What is gas mileage of the car?
9. Complementary angles Two angles are complementary. If one angle measures 10°, what is the measure of the second angle?
10. Combi-triangle On each side of the square is marked 10 different points outside the vertices of the square. How many triangles can be constructed from this set of points, where each vertex of the triangle lie on the other side of the square?
11. Funnel The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water.
12. Flowerbed 2 Around the square flower bed in a park is sidewalk 2 m wide. The area of ​​this sidewalk is 243 m2. What is the area of the flowerbed?
13. Circle Circle is given by centre on S[-7; 10] and maximum chord 13 long. How many intersect points have circle with the coordinate axes?
14. Sector The perimeter of a circular sector with an angle 1.8 rad is 64 cm. Determine the radius of the circle from which the sector comes.
15. Prism X The prism with the edges of the lengths x cm, 2x cm and 3x cm has volume 20250 cm3. What is the area of surface of the prism?
16. Tower The top of the tower is a regular hexagonal pyramid with base edge 8 meters long and a height 5 meters. How many m2 of the sheet is required to cover the top of the tower if we count 8% of the sheet waste?
17. Angles Which of those angles are obtuse?
18. Scale Cylinder was drawn in scale 2:1. How many times is the volume of the cylinder smaller in reality?
19. Fractions Sort fractions ? by its size. Result write as three serial numbers 1,2,3.
20. Neighbor angle For 136° angle calculate size of adjacent angle on one side of a straight line.

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