# Arithmetic - math word problems

1. Vans In how many ways can 9 shuttle vans line up at the airport?
2. Square diagonal Calculate length of the square diagonal if the perimeter is 476 cm.
3. Triangle Triangle KLM is given by plane coordinates of vertices: K[11, -10] L[10, 12] M[1, 3]. Calculate its area and itsinterior angles.
4. Numbers Determine the number of all positive integers less than 4183444 if each is divisible by 29, 7, 17. What is its sum?
5. Rainfall Annual rainfall in our country are an average of 797 mm. How many m3 of water rains on average per hectare?
6. 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?
7. Cats Two cats caught two mice in two days. How many mouses will catch 6 cats for 6 days?
8. Seating How many ways can 5 people sit on 4 numbered chairs (e. G. , seat reservation on the train)?
9. Triangle ABC Calculate the sides of triangle ABC with area 1404 cm2 and if a: b: c = 12:7:18 On the meadow grazing horses, cows and sheep, together less than 200. If cows were 45 times more, horses 60 times more and sheep 35 times more than there are now, their numbers would equall. How many horses, cows and sheep are on the meadow together?
11. Time Write time in minutes rounded to one decimal place: 5 h 28 m 26 s.
12. Weeks 38 weeks is equal to how many days?
13. IS trapezoid Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm.
14. Steps How many steps you save if you go square estate for diagonal (crosswise), rather than circumvent on the two sides of its perimeter with 307 steps.
15. Percentages above 100% What is 122% of 185? What is the meaning of percentages above 100%?
16. Water Mix 68 l of water with temperature of 87 °C, 17 l warm of 42 °C and 55 l water of 50 °C. What is the temperature of the mixed water immediately after mixing?
17. Theater The theater has in each row with 19 seats. Ticket to the first 10 rows is for 30 USD. In next rows is for 15 USD. The theater was completely sold out. Revenue was 12255 USD. How many rows are in the theater?
18. Right triangle Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
19. Piggy A man bought a pig for € 60 then sold it for € 75. Then again bought for € 90 and sold it for € 100. How many € earned?
20. Pediatrician Pediatrician this month of 20 working days takes 4 days holidays. What is the probability that on Monday will be at work?

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