# Arithmetic - math word problems

1. Geometric progression In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is: sn≤217.
2. Crates 2 One crate will hold 50 oranges. If Bob needs to ship 932 oranges, how many crates will he need?
3. Collect rain water The garden water tank has a cylindrical shape with a diameter of 80 cm and a height of 12 dm. How many liters of water will fit into the tank?
4. Diameter of a cylinder The diameter of the cylinder is 42 cm. How many times does the cylinder turn on a 66m long track?
5. Clock's gears In the clock machine, three gears fit together. The largest has 168 teeth, the middle 90 teeth, and the smallest 48 teeth. The middle wheel turns around its axis in 90 seconds. How many times during the day do all the gears meet in the starting position?
6. Sum of fractions What is the sum of 2/3+3/5?
7. Sewing Beth's mother can sew 235 pairs of short pants in 6 days while Lourdes can sew 187 pairs in 8 days. How many more pairs of short pants can Beth's mother sew?
8. Progression 12, 60, -300,1500 need next 2 numbers of pattern
9. Dining questionnaire In the class of 32 pupils, the class teacher delivered a satisfaction questionnaire to the school canteen. Eleven people have questioned whether they are satisfied with the dining room. The completed questionnaire also included the vote of the class teache
10. Two numbers Find the four times smaller number for numbers 12 and 36 and then add them.
11. Equation - inverse Solve for x: 7: x = 14: 1000
12. Summer tires Three tire servants have to change the summer tires on 6 cars in 2 hours. Mark's replacement would take 4.5 hours, Jirka would do it in 3 hours and 10 minutes, and Honza in 4 hours. Will they be able to replace all tires at the desired time?
13. Soup from canteen For how many people is 90 liters of soup enough if we assume 3/8 liter of soup per person in the canteen?
14. The cube The cube has an edge of 25 cm. We cut it into small cubes of 5 cm long side. How many of these little ones left when we build a new cube of 20 cm in length?
15. Cube into cylinder If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge?
16. Waste How many percents are waste from a circular plate with a radius of 1 m from which we cut a square with the highest area?
17. Integer Find the integer whose distance on the numerical axis from number 1 is two times smaller as the distance from number 6.
18. Points collinear Show that the point A(-1,3), B(3,2), C(11,0) are col-linear.
19. Symbols If 2*3 = 60 ; 3*4 = 120 and 4*5 = 200, what is 2*5?
20. Sauna and pool There are 49 people in the swimming pool. There are seven times fewer people in the sauna. How many people are in the sauna? How many people are entirely in the pool and the sauna?

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