# Arithmetic - math word problems

1. Reduce of the volume Calculate how many % reduce the volume of the cube is we reduced length of each edge by 10%.
2. Cake fractions Thomas ate 1/3 of cake, Bohouš of the rest of the cake ate 2/5. What fraction of cake left over for others?
3. Wire From wire 53 meters long they cut of 12.1 m and then 13.1 m. How many meters of wire left?
4. Moivre 2 Find the cube roots of 125(cos 288° + i sin 288°).
5. Crates 2 In 6 crates is 45 kg of apples In  5 crates is equally In 1 in crate is 3 kg more How many kilograms in each crate?
6. Computer The computer was purchased 10000,-. Each year, the price of a computer depreciates always the same percentage of the previous year. After four years, the value of the computer is reduced to 1300,- How many percent was depreciated price of the computer each
7. Minutes Write as fraction in basic form which part of the week is 980 minutes.
8. Reciprocal Calculate reciprocal of z=0.8-1.8i:
9. Evaluate The division of numbers 18 and 6 increase by product of the numbers 156 and 0.001
10. Powers Express the expression ? as the n-th power of the base 10.
11. Wood bars It is 9 bars 14 meters long and 9 bars 11 meters long. How many 5-meter lath is needed to make them?
12. Alfa beta gama The triangle's an interior angle beta is 10 degrees greater than the angle alpha and gamma angle is three times larger than the beta. Determine the size of the interior angles.
13. Series Your task is express the sum of the following arithmetic series for n = 14: S(n) = 11 + 13 + 15 + 17 + ... + 2n+9 + 2n+11
14. Internal and external angles Calculate the remaining internal and external angles of a triangle, if you know the internal angle γ (gamma) = 34 degrees and one external angle is 78 degrees and 40 '. Determine what kind of triangle it is from the size of its angles.
15. Tiles How much you will pay CZK for laying tiles in a square room with a diagonal of 8 m if 1 m2 cost CZK 420?
16. Statistics The sum of all deviations from the arithmetic mean of the numerical sequence 4, 6, 51, 77, 90, 93, 95, 109, 113, 117 is:
17. Volume of three cuboids Calculate the total volume of all cuboids for which the the size of the edges are in a ratio of 1:2:3, and one of the edges has a size 6 cm.
18. Body diagonal Cuboid with base 7cm x 3,9cm and body diagonal 9cm long. Find the height of the cuboid and the length of the diagonal of the base,
19. Playing Cards Kara has 2 times more cards than Dana, Dana has 4× less than Mary. Together they have 728 cards. How many cards has each of them?
20. Letters The school children have written 20 letters afternoon and then threw 20 letters and then the teacher counted the children and the children were 22 so they went to throw for 2 sheets. How many letters sent together?

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