# Arithmetic - math word problems

1. 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.
2. Square Points A[-9,7] and B[-4,-5] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD.
3. Cubes One cube is inscribed sphere and the other one described. Calculate difference of volumes of cubes, if the difference of surfaces in 257 mm2.
4. Is right? Is triangle with sides 51, 56 and 77 right triangle?
5. Discount Ladies sweater was twice discounted. First by 11%, then by 11% of the new price. Its final price was 100 €. Determine the original price of sweater.
6. Transforming cuboid Cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length?
7. Rhombus Calculate the perimeter and area of ​​a rhombus whose diagonals are 38 cm and 55 cm long.
8. Short cut Imagine that you are going to the friend. That path has a length 330 meters. Then turn left and go another 2000 meters and you are at a friend's. The question is how much the journey will be shorter if you go direct across the field?
9. Homeless Dezider Homeless Dežko has 9 coins in jacket: Calculate the value of its assets and calculate how many bottles of wine for 0.55 EUR can he buy.
10. 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. Ca
11. Scale Swimming pool is long 110 m and 30 m wide. The plan of the city is shown as a rectangle with area 8.25 cm2. What scale is the city plan?
12. Cube diagonal Determine the length of the cube diagonal with edge 75 mm.
13. Tereza The cube has area of base 256 mm2. Calculate the edge length, volume and area of its surface.
14. Logs Trunk diameter is 52 cm. Is it possible to inscribe a square prism with side 36 cm?
15. Sphere The surface of the sphere is 12100 cm2, and weight is 136 kg. What is its density?
16. No. of divisors How many different divisors have number ??
17. Square and circles Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.
18. Observer The observer sees straight fence 100 m long in 30° view angle. From one end of the fence is 153 m. How far is it from the another end of the fence?
19. 7 heroes 9 heroes galloping on 9 horses behind. How many ways can sort them behind?
20. Subtraction How many times you can subtract the number 4 from the number 64?

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