# Algebra - math word problems

1. King's birthday To celebrate the king's birthday workers fire 1/5 all purchased rockets. To celebrate the Queen's birthday fire 1/6 of the remaining rockets and to celebrate the birthday of king's son remaining 15,000 rockets. How many rockets they purchased?
2. The gardener The gardener bought trees for 960 CZK. If every tree were cheaper by 12 CZK, he would have gotten four more trees for the same money. How many trees did he buy?
3. Q of GP Calculate quotient of geometric progression if a1=5 a a1+a2=12.
4. Ratio iso triangle The ratio of the sides of an isosceles triangle is 7:6:7 Find the base angle to the nearest answer correct to 3 significant figure.
5. Gloves Petra has ten pairs of gloves in the closet. Six pairs are blue, 4 pairs are yellow. How many pieces of gloves need to be pulled out at least when she pull them out in the dark and want to have one complete one color pair?
6. Sum of members What is the sum of the first two members of the aritmetic progression if d = -4.3 and a3 = 7.5?
7. Parallelogram Calculate the missing side of a parallelogram, if you know the perimeter o and one side: a) o = 7.2 cm; b = 1.8 cm b) o = 5.4 cm; a = 1.9 cm
8. Right triangle eq2 Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70.
9. Coefficient Determine the coefficient of this sequence: 7.2; 2.4; 0.8
10. Inscribed circle The circle inscribed in a triangle has a radius 3 cm. Express the area of the triangle using a, b, c.
11. Difference AP 4 Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1
12. Volume and area What is the volume of a cube which has area of 361 cm2?
13. Combinations If the number of elements increase by 3, it increases the number of combinations of the second class of these elements 5 times. How many are the elements?
14. Unknown number xyz Find the number that its triple is 24. Solve by equation.
15. Proportion write the following proportion 8 is to 64 as to 2 is to x
16. MO Z8-I-1 2018 Fero and David meet daily in the elevator. One morning they found that if they multiply their current age, they get 238. If they did the same after four years, this product would be 378. Determine the sum of the current ages of Fero and David.
17. Ten pupils 10 pupils went to the store. 6 pupils bought lollipops and 9 pupils bought chewing gum. How many pupils have bought both lollipops and chewing gums (if everyone bought something)?
18. Elements If the number of elements is decreased by two the number of permutations is decreased 30 times. How many elements are?
19. Toy cars Pavel has a collection of toy cars. He wanted to regroup them. But in the division of three, four, six, and eight, he was always one left. Only when he formed groups of seven, he divided everyone. How many toy cars have in the collection?
20. Boys and girls There are 28 girls in the hall. 5/7 of all children are boys. How many children and how many boys are there?

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