# Multiplication - 6th grade (11y) - problems

1. Write 3
Write a real world problem involving the multiplication of a fraction and a whole number with a product that is between 8 and 10 then solve the problem
2. Fruits 2
An apple costs 7p and a melon costs seven times more. How much will 6 apples and 2 melons cost
3. Brick weight
The brick weighs 2 kg and a half bricks. How much does one brick weigh?
4. Forestry workers
In the forest is employed 56 laborers planting trees in nurseries. For 8 hour work day would end job in 37 days. After 16 days, 9 laborers go forth? How many days are needed to complete planting trees in nurseries by others, if they will work 10 hours a d
5. Motion problem
From Levíc to Košíc go car at speed 81 km/h. From Košíc to Levíc go another car at speed 69 km/h. How many minutes before the meeting will be cars 27 km away?
6. Cyclist
A cyclist passes 88 km in 4 hours. How many kilometers he pass in 8 hours?
7. Root
The root of the equation ? is: ?
8. Diophantus
We know little about this Greek mathematician from Alexandria, except that he lived around 3rd century A.D. Thanks to an admirer of his, who described his life by means of an algebraic riddle, we know at least something about his life. Diophantus's youth l
9. Motion
If you go at speed 3.7 km/h, you come to the station 42 minutes after leaving train. If you go by bike to the station at speed 27 km/h, you come to the station 56 minutes before its departure. How far is the train station?
10. 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 sub
11. Hands
The clock shows 12 hours. After how many minutes will agle between hour and minute hand 90°? Consider the continuous movement of both hands hours.
12. Bus vs. train
Bus started from point A 10 minutes before the train started from the same place. The bus went an average speed of 49 km/h, train 77 km/h. To point B train and bus arrived simultaneously. Calculate time of train journey, if train and bus travelled the.
13. ŽSR
Calculate fixed annual personnel costs of operating monorail line 118 km long if every 5 km is station, which serve three people - one dispatcher and two switchman in 4-shift operation. Consider the average salary of the employee 885 €.
14. School trip
School trip cost 247.2 Eur for one class (24 students). How much would cost a trip for two classes? (both classes together have 53 students)
15. Youth track
Youth track from Hronská Dúbrava to Banská Štiavnica which announced cancellation attracted considerable media attention and public opposition, has cost 6.3 euro per capita and revenue 13 cents per capita. Calculate size of subsidies to trip group of 28.
16. Compare
Compare fractions ?. Which fraction of the lower?
17. Numbers
Determine the number of all positive integers less than 4183444 if each is divisible by 29, 7, 17. What is its sum?
18. Rainfall
Annual rainfall in our country are an average of 797 mm. How many m3 of water rains on average per hectare?
19. Cats
Two cats caught two mice in two days. How many mouses will catch 6 cats for 6 days?
20. Time
Write time in minutes rounded to one decimal place: 5 h 28 m 26 s.

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