# Arithmetic - math word problems

1. Quotient
Determine the quotient (q) and the remainder (r) from division numbers 100 and 8. Take the test of correctness.
2. Medicament
Same type of medicament produces a number of manufacturers in a variety of packages with different content of active substance. Pack 1: includes 60 pills of 600 mg of active substance per pack cost 9 Eur. Pack 2: includes 150 pills of 500 mg of active su
3. School trip
6.A class went on a trip. Train ticket cost 6 euros, cable car ticket 6 euro. How many euros must pay classroom teacher for 23 students?
4. Road embankment
Road embankment has a cross section shape of an isosceles trapezoid with bases 5 m and 7 m, and 2 m long leg. How many cubic meters of soil is in embankment length of 1474 meters?
5. Farm
Agricultural cooperative (farm) produced 14144 liters of milk for 16 days. Which exceeded the plan by 1984 liters. How many liters of milk a day had planned to produce?
6. Inheritance
After death father (♱ 62) remained mother (his wife) and its 3 children. Inheritance by law is that in first mother will automatically get half of the property and other one half inherite by heirs witch are mother and her 3 children by same share. Ca
7. Pure quadratic equation
Solve pure quadratic equation ?.
8. Vectors
For vector w is true: w = 2u-5v. Determine coordinates of vector w if u=(3, -1), v=(12, -10)
9. LCM
What is the least common multiple of 5, 50, 14?
10. Arc
Calculate span of the arc, which is part of a circle with diameter d = 20 m and its height is 6 m.
11. 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
12. Tereza
The cube has area of base 256 mm2. Calculate the edge length, volume and area of its surface.
13. Square2
Side of the square is a = 6.2 cm, how long is its diagonal?
14. Geometric sequence 3
In geometric sequence is a8 = 312500; a11= 39062500; sn=1953124. Calculate the first item a1, quotient q and n - number of members by their sum s_n.
15. Coke
From one ton of coal is produced 772 kg of coke for iron production. How many wagons of coal by 13 tonnes per day is needed for the blast furnace, which has a daily consumption of 1020 tons of coke?
16. Ray
Light ray loses 1/19 of brightness passing through glass plate. What is the brightness of the ray after passing through 7 identical plates?
17. Tank
In the middle of a cylindrical tank with a bottom diameter 251 cm is standing rod which is 13 cm above the water surface. If we bank rod its end reach surface of the water just by the tank wall. How deep is the tank?
18. Height UT
How long is height in the equilateral triangle with a side b = 43?
19. Beer
Which beer is better to drink: small beer (0.3 L) for 0.67 € or large (0.5 L) for 1.81 €?
20. Math test
In class 6.A are 26 students and the teacher had managed to give tests to 13 students. 13 testes he gave in 6.5 min. How many pupils still haven't test? How long will it take techer to give tests to 43 students?

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