# Arithmetic - math word problems

1. Tickets
On Monday, 33 tickets were sold. Every next day, twice as many as the previous day. How many tickets were sold on Friday and how many totally from Monday to Friday?
2. Composite ratio
Jakub, Aneta, and Lenka divided 1342 USD in the ratio 5/2: 3/10: 1/4. How much did Lenka take?
3. Temperature 5
Temperature outside starts at 0 Fahrenheit. Over time the temperature changes at a rate of -0.6 Fahrenheit per hour. How long will it take for the temperature to reach -4.5 Fahrenheit?
4. Fractions 3
Calculate 1/9 of 27:
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. Hugo has
Hugo has 12 apples, Julka has seven more than Hugo and six less than Anna. How many apples have Anna and how many Julka?
7. Outside temperature
The temperature outside was 57 degree Fahrenheit. During the next few hours it decreased by 18 degrees and then increased by 23 degrees. Find new temperature.
8. Mixed with percentages
Calculate 33 1/3% of 570.
9. Edges or sides
Calculate the cube volume, if the sum of the lengths of all sides is 276 cm.
10. Overtaking
On the direct road, the passenger car overtakes the slower bus by starting to overtake 20 meters from the bus and after passing it ahead of it again 20 meters away. The car overtakes at a steady speed of 72 km/h, the bus goes at a steady speed of 54 km/h.
11. Paratrooper
After the parachute is opened, the paratrooper drops to the ground at a constant speed of 2 m/s, with the sidewinding at a steady speed of 1.5 m/s. Find: a) the magnitude of its resulting velocity with respect to the ground, b) the distance of his land f
12. Domains of functions
F(x)=x2-7x and g(x)=5-x2 Domain of (fg)(x) is. .. . . Domain of (f/g)(x). ..
13. Progression
-12, 60, -300,1500 need next 2 numbers of pattern
14. Evaluate expression 2
Evaluate expression with negatives: (-3)+4+(-8)+(-6)+4+(-1)
15. Square metal sheet
Four squares of 300 mm side were cut out from a square sheet metal plate with a side of 0,7 m. Express the fraction and the percentage of waste from the square metal sheet.
16. Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
17. 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?
18. Morning
Jana rose in the morning in the quarter to seven. She slept nine and a half hours. When did she go to sleep?
19. Toys 3
Tiffany's toyshop received a shipment of 360 toys. The first day 12 were sold the second day 19 were sold and on the third day, 26 was sold. How many days will the toyshop run out of toys?
20. Quarter of a circle
Calculate the circumference of a quarter circle if its content is S = 314 cm2.

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