# Grade - math word problems

1. Cyclist
Cyclist rode two-fifths of the way the first day. The second day drove 5 km less while traveled three-eighths of route. How many kilometers does he have to finish target?
2. Outer contact of circles
Construct a circle k1 (S1; 1.5 cm), k2 (S2; 2 cm), and K3 (S3; 2.5 cm) so that they are always two outer contact. Calculate the perimeter of the triangle S1S2S3.
3. Heart as pump
Heart pumps out 5.17 liters of blood in 1 minute. How many liters of blood pumped per hour and how much per day?
4. Pins
Sarah bought 9 pins, Eva bought 4 pins and saved 2 euros. How many pins buy Dana, when she have 3 euro?
5. Square
If the length of the sides of the square we decrease by 25% decrease the content area of 28 cm2. Determine the side length of the original square.
6. Shoes and slippers
Shoes were three times as many as slippers. If shoes were cheaper by 120, it would be twice as expensive as slippers. How much cost shoes and how much slippers?
7. Trucks
Truck take you the some amount of clay in 30 hours. Second truck in 40 hours. Trucks carted the clay away some time together then the second truck broke down and the first one completed the job in five hours. What time worked together?
8. Welders
Welder do the job for six hours, the second one for 8 hours. How long do the job third welder if all together can do job in 2 hours?
9. Trees
3/5 trees are apples, cherries are 1/3. 5 trees are pear. How many is the total number of trees?
10. Three ints
The sum of three consecutive integers is 2016. What numbers are they?
11. Farmland
Farmers seeded maize to 45 ha, which is 15% of their total farmland. How many hectares of fields they have?
12. Two florists
At the market, the florist sold 10 times more varieties of flowers than the florist at the stand opposite. It had 90 varieties of roses, 70 varieties of tulips, and 50 varieties of daffodils. How many varieties of each species did the florist offer in the
On a straight stretch of road is marked 12 percent drop. What angle makes the direction of the road with the horizontal plane?
14. Unknown number 24
I think the number: a - is the same as the square area that has the 12th circumfence. What is this number? b - its half is 7 times bigger than its quarter. Is this the number?
15. Bus stop
Determine at what time the bus leaves from the bus stop outside the village, if you know that when you leave home at 8:00 and go at speed 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go speed at 4 km/h, you come to th
16. Dices throws
What is the probability that the two throws of the dice: a) Six falls even once b) Six will fall at least once
17. Master and apprentice
Master painted the roof in 3 hours and apprentice for 4 hours. How many of roof they painted in hour and how many in three quarters of an hour?
18. Hexagon area
The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area.
19. Tent
Calculate how many liters of air will fit in the tent that has a shield in the shape of an isosceles right triangle with legs r = 3 m long the height = 1.5 m and a side length d = 5 m.
20. Two monuments
The distance between two historical monuments on a map with a scale of 1: 500000 is 48 mm. Find the actual distance between these monuments in km.

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