# Arithmetic - math word problems

1. Boys and girls
There are 20 boys and 10 girls in the class. How many different dance pairs can we make of them?
2. Compound interest 3
After 8 years, what is the total amount of a compound interest investment of \$25,000 at 3% interest, compounded quarterly? (interest is now dream - in the year 2019)
3. Barrel
Barrel of wine is filled by 9/14. What part of the barrel will remain filled when 1/4 of the wine we pour from the barrel?
4. Secret treasure
Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base 4 m and a height of 3 m. Determine the radius r (and height h) of the container so that they can hide the largest possible treasure.
5. Folding table
The folding kitchen table has a rectangular shape with an area of 168dm2 (side and is 14 dm long). If necessary, it can be enlarged by sliding two semi-circular plates (at sides b). How much percent will the table area increase? The result round to one-hu
6. Year 2020
The four-digit number divided by 2020 gives a result of 1, **. (Can not be in form 1,*0. ) Write all the options.
Why does 1 3/4 + 2 9/10 equal 4.65? How do you solve this?
8. Football field
The soccer field may have a width of 45 meters. This is 45 meters less than the length of the course. What can be the length of the football field?
9. Fruit candies
Zuzka and Janka ate fruit candies. Zuzka ate 10 and Janka ate 3 times more. How many sweets did both girls eat together?
10. 45th birthday
This year Mrs. Clever celebrated her 45th birthday. Her three children are now 7.11 and 15 years old. In how many years will Mrs. Clever's age be equal to the sum of her children's years?
11. In center
What number lies in the center between a quarter of a fifth and a half of a third on the number axis?
12. The machine
The machine works 7 hours a day and produces 1 part in 5 minutes. How many parts will it produce in 1 hour? How many parts will it produce in 1 day?
13. Alien ship
The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large
14. Angles of elevation
From points A and B on level ground, the angles of elevation of the top of a building are 25° and 37° respectively. If |AB| = 57m, calculate, to the nearest meter, the distances of the top of the building from A and B if they are both on the same side of
15. Ten pupils
10 pupils came to the art group .8 pupils painted with watercolors and 9 pupils painted with ink, each pupil painted with ink or watercolors. How many pupils painted water and ink at the same time?
16. Spending money
Boris spent 324 €. Robo spent 130 € more. How much did they spend together?
17. Video game
Nicole is playing a video game where each round lasts 7/12 of an hour. She has scheduled 3 3/4 hours to play the game. How many rounds can Nicole play?
18. 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?
19. Divide 8
Divide 6840 by x y and z, in such a way that x has twice as much as y, who has half as much as z
20. Seven numbers
Write seven 4-digit numbers that are divisible by 3 and at the same time by 4.

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