7th grade (12y) + natural numbers - examples
- Reminder and quotient
There are given numbers A = 135, B = 315. Find the smallest natural number R greater than 1 so that the proportions R:A, R:B are with the remainder 1.
- Divide 5
Divide 288 in the following ratio 3 : 4 : 5
- The florist
The florist had 200 roses in the morning. During the day, more than half sold it. From the remaining roses, it will tie the bouquet. If a bouquet of 3, 4, 5 or 6 roses are bound, one always remains. How many roses from the morning shipment sold?
Monkey fell in 38 m deep well. Every day her scramble 3 meters, at night dropped back by 2 m. On that day it gets hangover from the well?
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
- No. of divisors
How many different divisors has number ??
Determine the number of all positive integers less than 4183444 if each is divisible by 29, 7, 17. What is its sum?
In the camp are children. 1/2 went on a trip, 1/4 went to bathe and 38 children remained in the room. How many children are in camp?
Jane on birthday brought 30 lollipops and 24 chewing gum for their friends. How many friends has, if everyone receives the same number of lollipops and chewing gums? How much chewing gum and lollipops got any friend?
Camel owner wants to get out of the city into oasis. He bought 3000 bananas, which wants to sell in oasis. However oasis from the city divided 1,000 kilometers of desert. Camel can carry at one time up to 1000 bananas, and for every kilometer traveled, ea
In the bowl are plums. How many would be there if we can divide it equally among 10, 12 and 14 children?
How many times should be broken chocolate consisting of 10 × 12 pieces to get the 120 parts?
Seedcake costs 44 cents. How many minimum seedcakes we must buy that we can pay in cash only whole euros?
What is the least common multiple of 36, 44, 21?
How many rectangles with area 3002 cm2 whose sides is natural numbers are?
- Game room
Winner can took win in three types of jettons with value 3, 30 and 100 dollars. What is minimal value of win payable in this values of jettons?
Determine the smallest integer which divided 11 gives remainder 4 when divided 15 gives remainder 10 and when divided by 19 gives remainder 16.
The teacher paid for 280 Kč for 4.A students for admission to the exhibition. How many students were on the exhibition?
- Count of roots
How many solutions has equation x. y = 7757 with two unknowns on the set of natural numbers?
- Four pupils
Four pupils divided $ 1485 so that the second received 50% less than the first, the third 1/2 less than a fourth and fourth $ 154 less than the first. How much money had each of them?