# Arithmetic - math word problems

1. Saving At the beginning of the year, Tomas had saved 230kc, after half a year even 590 CZK. How many crowns did he save each month when saving the same amount?
2. Chester Chester has a piece of wood measuring 1 2/3 cm he needs to cut it to pieces measuring 3/4 cm long. How many pieces of wood did Chester cut?
3. Sum of dividend If X is divided separately 2.63 and 1.40. And the results of the individual divisions are added to give a result less than X. What is X?
4. Simplify Simplify powers multiplication: (3+22)(5-42)
5. Caleb Caleb is making lemonade for a party. He has 5 gallons of lemonade. He is putting 1/3 cubic inch of lemonade in a cup for each guest. How many guests are going to be at the party?
6. Stamps Tibor has four times more stamps than Miro and seven times more stamps than Stano. How many stamps have all three if Tibor has 504 stamps?
7. Intersect and conjuction Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB'
8. Dividing money Janka and Silvia are to divide 1200 euros in a ratio of 19:11. How many euros does the Janka have?
9. A sculptor A sculptor is duplicating a statue based on an original statue. If the scale factor of the replication is 3.2, will the new statue be larger or smaller than the original statue (enter 1 = larger, 0= smaller)
10. Steps 6 Going up to his room will take 7 steps up to the landing. Another 9 steps to reach his room. How many steps all in all?
11. Holidaymakers A total of 94270 holidaymakers spent part of their holiday in 50 hotels a year. On average, how many vacationers are there for one hotel?
12. Positive integers Several positive integers are written on the paper. Michaella only remembered that each number was half the sum of all the other numbers. How many numbers could be written on paper?
13. Squares From a square of 12 dm perimeter is cut smaller square, whose side is the third side of the square. What is the area of the rest?
14. Dice and coin A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 2 and the coin toss is head?
15. Divide Divide the number 72 in the ratio 7: 2 and calculate the ratio of the numbers found in this order and write down as decimal.
16. Pebble The aquarium with internal dimensions of the bottom 40 cm × 35 cm and a height of 30 cm is filled with two-thirds of water. Calculate how many millimeters the water level in the aquarium rises by dipping a pebble-shaped sphere with a diameter of 18 cm.
17. The sum The sum of the first 10 members of the arithmetic sequence is 120. What will be the sum if the difference is reduced by 2?
18. Seven numbers Write seven 4-digit numbers that are divisible by 3 and at the same time by 4.
19. Company logo The company logo consists of a blue circle with a radius of 4 cm, which is an inscribed white square. What is the area of the blue part of the logo?
20. The temperature 3 The temperature is -12 degrees Fahrenheit. During the following 5 hours the temperature decrease 23 degrees Fahrenheit what is the temperature at 11 pm?

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