Numbers - math word problems
From the bag with numbered balls (numbers 1,2,3,. ..20) we pick one ball. What is the probability of choosing a number containing 1?
- Graduation party
There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
- Students at cinema
All pupils from the school went to the cinema for a film performance. The cinema has 400 seats, 2 rows of 20 seats remain unoccupied. 10 places were occupied by teachers. How many students were there?
- Proportion 3
For every 8 mango trees in the orchard, there are 4 star apple trees. If there are 1320 trees, how many trees of each kind are there?
- Brick weight
The brick weighs 2 kg and a half bricks. How much does one brick weigh?
Area of a square garden is 6/4 of triangle garden with sides 56 m, 35 m, and 35 m. How many meters of fencing need to fence a square garden?
If water flows into the pool by two inlets, fill the whole for 8 hours. The first inlet filled pool 6 hour longer than second. How long pool take to fill with two inlets separately?
Leslie bought 8 same chocolates for 16 Eur. How many euros will he pay for 25 chocolates?
- 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
Gross wage was 527 EUR including 16% bonus. How many EUR were bonuses?
- Right Δ
A right triangle has the length of one leg 7 cm and length of the hypotenuse 25 cm. Calculate the height of the triangle.
Is the number 761082 exactly divisible by 9? (the result is the integer and/or remainder is zero)
Route is long 147 km and the first day first regiment went at an average speed 12 km/h and journey back 21 km/h. The second day went second regiment same route at an average speed 22 km/h there and back. Which regiment will take route longer?
- 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?
Mr. Billy calculated that excavation for a water connection dig for 12 days. His friend would take 10 days. Billy worked 3 days alone. Then his friend came to help and started on the other end. On what day since the beginning of excavation they met?
A man can drink a barrel of water for 26 days, woman for 48 days. How many days will a barrel last between them?
After three 10° beers consumed in a short time there are 5.6 g of alcohol in 6 kg adult human blood. How much is it per mille?
- Cube in a sphere
The cube is inscribed in a sphere with volume 3234 cm3. Determine the length of the edges of a cube.
Monkey fell in 23 meters deep well. Every day it climbs 3 meters, at night it dropped back by 2 m. On what day it gets out from the well?
- Axial section
Axial section of the cone is an equilateral triangle with area 208 dm2. Calculate the volume of the cone.