# Arithmetic - math word problems

1. Hole In the center of the cube with edge 14 cm we will drill cylinder shape hole. Volume of the hole must be 27% of the cube. What drill diameter should be chosen?
2. Midpoints Triangle whose sides are midpoints of sides of triangle ABC has a perimeter 45. How long is perimeter of triangle ABC?
3. Chickens 2 chickens give 2 eggs in 2 days. How many eggs can give 8 chickens for 8 days?
4. Movement From the crossing of two perpendicular roads started two cyclists (each at different road). One runs at average speed 28 km/h, the second at average speed 24 km/h. Determine the distance between them after 45 minutes cycling.
5. Like When is in 14 barrels 140 liters of water, how many liters barrels of 8 liters I need to get all the water from the larger barrels?
6. Lines Five bus lines runs at intervals 3, 6, 9, 12, 15 minutes. In the morning, suddenly start at 4:00. After how many minutes the bus lines meet again?
7. Cats Two cats caught two mice in two days. How many mouses will catch 6 cats for 6 days?
8. Pyramid roof 2/4 of area of ​​the roof shaped regular tetrahedral pyramid with base edge 10 m and height of 4 m is already covered with roofing. How many square meters still needs to be covered?
9. Pool The swimming pool is 10 m wide and 8 m long and 153 cm deep. How many hectoliters of water is in it, if the water is 30 cm below its upper edge?
10. Circles The areas of the two circles are in the ratio 2:20. The larger circle has diameter 20. Calculate the radius of the smaller circle.
11. Forces In point O acts three orthogonal forces: F1 = 20 N, F2 = 7 N and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2 and F3.
12. Numbers Determine the number of all positive integers less than 4183444 if each is divisible by 29, 7, 17. What is its sum?
13. Equation How many real roots has equation ? ?
14. Gimli Glider Aircraft Boeing 767 lose both engines at 42000 feet. The plane captain maintain optimum gliding conditions. Every minute, lose 1910 feet and maintain constant speed 211 knots. Calculate how long it takes to plane from engine failure to hit the ground. C
15. Salary Calculate equivalent annual salary to hourly salary \$ 19. Assume a 42-hour work week.
16. 7 heroes 9 heroes galloping on 9 horses behind. How many ways can sort them behind?
17. Cone Circular cone with height h = 29 dm and base radius r = 3 dm slice plane parallel to the base. Calculate distance of the cone vertex from this plane, if solids have the same volume.
18. Chocolate How many times should be broken chocolate consisting of 10 × 12 pieces to get the 120 parts?
19. Crystal Crystal grows every month 1.2 promile of its mass. For how many months to grow a crystal from weight 177 g to 384 g?
20. Book Calculate the thickness of the page of the collection of examples from mathematics, where 4.87 cm thick and has 451 pages.

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