# Arithmetic - math word problems

1. Circles How many different circles is determined by 9 points at the plane, if 6 of them lie in a straight line?
2. Balls Three metal balls with volumes V1=71 cm3 V2=78 cm3 and V3=64 cm3 melted into one ball. Determine it's surface area.
3. Integers May be the sum of two integers less than their difference?
4. Euklid4 Legs of a right triangle have dimensions 244 m and 246 m. Calculate the length of the hypotenuse and the height of this right triangle.
5. Brick Brick weight before drying is 5.3 kg. After drying, the bricks is 1 kg lighter and after firing is 0.7 kg lighter than after drying. What is the weight of the brick after drying and firing?
6. VAT In the country XYZ car Daewoo Leganza costs 3748 Euros including VAT; 3335.72 Eur without VAT. a) Determine the rate of VAT. b) How much is Euro VAT paid on the purchase? c) How many % of the total price of the goods is VAT? VAT = value added tax.
7. Operations Sum of the numbers 1.01 and 3.35 multiply by the difference of numbers 6.69 and 1.39.
8. Drive At the bus stop 8 people take out and 10 people take into bus. Next stop 6 take out and 5 take in. On the third stop 6 take out and 3 take in. The bus traveled further with 39 people. How many passengers were originally at the bus?
9. Thermometer The thermometer showed -3°C at morning. Then temperature was increased by 1°C again increased by 1°C and then decreased by 1°C and then decreased by 4°C. Which terminal temperature thermometer shows?
10. Log Calculate value of expression log |3 +7i +5i2| .
11. Word problem 348 students were on holiday in Hungary. 133 bought pizza, chips 28 pupils, 25 pupils bought soda, butter 26 pupils, 15 pupils fruits, vegetables 29 students. How much pay for all the food, if every meal cost 5.3 euros?
12. Unit vector 2D Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
13. Car range Calculate the maximum range of car, if you can spend 10 euros, price of diesel is 1.55 Eur/l and car consumption is 3 l/100 km.
14. Similarity coefficient The ratio of similarity of two equilateral triangles is 3.5 (ie 7:2). The length of the side of smaller triangle is 2.4 cm. Calculate the perimeter and area of ​​the larger triangle.
15. Sweets Mom bought box of sweets for their children.Whole package of 100 sweets divided among 4 their children so that each child receives the most and for she remains the least sweets. How many sweets left for mom.
16. Deposit If you deposit 719 euros the beginning of each year, how much money we have at 1.3% (compound) interest after 9 years?
17. Cups We have three cups. In the cups we had fluid and boredom we started to shed. 1 We shed one-third of the fluid from the second glass into the first and third. 2 Then we shed one quarter cup of liquid from the first to the second and to the third. 3 The
18. Right angled From the right triangle with legs 12 cm and 20 cm we built a square with the same content as the triangle. How long will be side of the square?
19. Garden Rectangular garden has a length 99 m and width 84 m. Calculate how many m2 will decrease its area if land by ornamental fence with width 30 cm.
20. Eggs Mother bought from neighbors 39 domestic eggs. Her neighbor got back €4.54 from €10. How many euros get back from 20 banknote if she buy 94 eggs from a neighbor?

Do you have an interesting mathematical word problem that you can't solve it? Submit math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...