# Algebra - problems - page 60

1. Hexagonal prism 2
The regular hexagonal prism has a surface of 140 cm2 and height of 5 cm. Calculate its volume.
2. Contestants
In the competition it was possible to get 0-5 points. In fact, 5 contestants of the 15 best contestants has earned 5 points or 4 points (which have won 10 contestants). The number of contestants who earned 3 points was the same as the number of contestan
Fill letters instead of digits so the indicated sum (equal letters represent equal digits). What number is hidden under the letter J? A A H A H O A H O J -------------------------- 4 3 2 1
4. Three figures - numbers
The sum of three numbers, if each is 10% larger than the previous one, is 662. Determine the figures.
5. Number
I think the number. If I add to its third seven I get same as when to its quarter add 8. Which is the number?
If Petra read 10 pages per day, she would read the book two days earlier than she read 6 pages a day. How many pages does a book have?
7. Clotheslines
Mommy needs 6 clothesline 360 cm long. Clotheslines is sold in the length of eight meters. How many of these clotheslines must buy mom if any does not want to be connected? How much mommy pay for the clotheslines when 1 piece costs 24kč?
8. Cuboid easy
The cuboid has the dimensions a = 12 cm, b = 9 cm, c = 36 cm. Calculate the length of the body diagonal of the cuboid.
9. Candy
The price for 1kg of more expensive candy is 125 CZK. The price for 1kg of cheaper candy is 100 CZK. We make two different blends of candy. And now. The second blend contains 2kg of more expensive candy and several kg of cheaper candy. The price per 1 kg o
10. Saving per cents
The first day I save 1 cent and every next day cent more. How many I saved per year (365 days)?
11. Class 9A
On the final certificate have one quarter of the class 9A mark "C" of mathematics, seventh mark "C" from the Czech language and two students failed in chemistry. How many students attend class 9A?
12. Plum
On the platter are plum. How many were there if its have to be able to share equally among 8,10 and 12 children?
13. Variations 4/2
Determine the number of items when the count of variations of fourth class without repeating is 600 times larger than the count of variations of second class without repetition.
14. Sale off 2
A pair of of blues jeans went on sale. After a 30% reduction the pants cost \$35. How much did the jeans cost before the price reduction?
15. Trees - orchard
The 3/5 trees are apple trees and 1/3 of the trees are cherries. The remaining 5 trees are pear trees. How many trees are in the orchard.
16. LCM of two number
Find the smallest multiple of 63 and 147
17. 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?
18. Geometric sequence 4
It is given geometric sequence a3 = 7 and a12 = 3. Calculate s23 (= sum of the first 23 members of the sequence).
19. 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?
20. 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

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