# Algebra - math word problems

1. LCM of two number Find the smallest multiple of 63 and 147
2. Family Mom is 39 years old. Karl is eight years and Paul 4 years. For many years mother would old just like two children together?
3. Geometric sequence 4 It is given geometric sequence a3 = 7 and a12 = 3. Calculate s23 (= sum of the first 23 members of the sequence).
4. Cruise liner Cruise liner runs along the river between points A and B. The journey downstream takes 40 minutes 1 hour upriver. The flow rate of the river is 3 km/h. What is the speed of cruise liner?
5. Population What is the population of the city with 3% annual growth, if in 10 years the city will have 60,000 residents?
6. Families In class we investigated how many children have family in which its live. How many% of pupils live in families with more than two children? If five families each have one child in 9 families have 2 children, in 5 families have 3 children, in 2 families ha
7. Geometric sequence 5 About members of geometric sequence we know: ? ? Calculate a1 (first member) and q (common ratio or q-coefficient)
8. Family parcels In father will he divided the land so that the older son had three bigger part than younger son. Later elder son gave 2.5 ha field to younger and they had both the same. Determine the area of family parcel.
9. MO Z6-6-1 Write integers greater than 1 to the blanks in the following figure, so that each darker box was product of the numbers in the neighboring lighter boxes. What number is in the middle box?
10. Diagonals of diamond Find the area and circumference of the diamond ABCD with 15m and 11m diagonals.
11. Pyramid Z8–I–6 Each brick of pyramid contains one number. Whenever possible, the number in each brick is lowest common multiple of two numbers of bricks lying directly above it. That number may be in the lowest brick? Determine all possibilities.
12. Cost reduction Two MP3 players whose price was equal to originally have been discounted the first by 20%, the second by 35%. After the price reduction was the difference in their prices 750, - CZK. What was the original price of each of the two players?
13. How old The student who asked how many years he answered: "After 10 years I will be twice as old than as I was four years ago. How old is student?
14. Two numbers The sum of the two numbers is 1. Find both numbers if you know that half of the first is equal to one seventh of the second number.
15. Cuboid edges in ratio Cuboid edges lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm3.
16. Rabbits 3 Viju has 40 chickens and rabbits. If in all there are 90 legs. How many rabbits are there with Viju? 5 of the same bread has the same weight as three bread and 4 kg of fruit. What weight has one bread?
18. Ruler How far from Peter stands 2m hight John? Petr is looking to John over ruler that keeps at arm's distant 60 cm from the eye and on the ruler John measured the height of 15 mm.
19. Two numbers We have two numbers. Their sum is 140. One-fifth of the first number is equal to half the second number. Determine those unknown numbers.
20. Land - isosceles trapezoid Calculate the content and perimeter of the building plot in the form of an isosceles trapezoid with bases 120m, 95m and height 50m.

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