# Arithmetic - math word problems

1. Diagonal Calculate the length of the diagonal of the rectangle ABCD with sides a = 8 cm, b = 7 cm.
2. Peak Uphill leads 2 paths and 1 lift. a) How many options back and forth are there? b) How many options to get there and back by not same path are there? c) How many options back and forth are there that we go at least once a lift?
3. Arm Calculate the length of the arm r of isosceles triangle ABC, with base |AB| = 14 cm and a height v=18 cm.
4. Built-up area John build up area 5 x 7 = 35 m2 with building with a wall thickness 30 cm. How many centimeters would have to subtract from thickness of the walls that built-up area fell by 9%? Number 839 divide into the two addends that the first was 17 greater than 60% of the second. Determine these addends.
6. Mailbox Mailbox is opening at regular intervals 3 times a day. The first time is opened at 8:00 and the last at 19:00. Calculate hours when mailbox is opened during day.
7. Machine Price of the new machine is € 62000. Every year is depreciated 15% of residual value. What will be the value of the machine after 3 years?
8. University bubble You'll notice that the college up slowly every other high school. In Slovakia/Czech republic a lot of people studying political science, mass media communication, social work, many sorts of management MBA. Calculate how many times more earns clever 25-yea
9. Committees How many different committees of 2 people can be formed from a class of 21 students?
10. Cars plates How many different licence plates can country have, given that they use 3 letters followed by 3 digits?
11. Gon functions Decide which of the numbers (values ​​of trigonometric functions) are positive and which are negative (or zero). Positive mark +1 and negative -1.
12. Building Lenka has 22 cubes for the construction of building comprising three cubes in height, the width of two cubes, and the length of four cubes. Is she able to build an building with these cubes?
13. Coin and die Flip a coin and then roll a six-sided die. How many possible combinations are there?
14. Tiles How many 46 cm square tiles will cover a floor 22.08 m by 8.74 m?
15. Doctors In the city operates 196 doctors. The city has 134456 citizens. How many citizens are per one doctor?
16. Area codes How many 6 digit area codes are possible if the first number can't be zero?
17. 100 % How much is 100%, if 17 % is 1169?
18. Words How many 3 letter "words" are possible using 14 letters of the alphabet? a) n - without repetition b) m - with repetition
19. Shelf How many ways are there to arrange 6 books on a shelf?
20. Lock A combination lock will open when the right choice of 3 numbers (from 1 to 16 inclusive) is selected. A. How many different lock combinations are possible? B. Is the combination lock named appropriately?

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