System of equations - practice for 12 year olds - page 6 of 12
Number of problems found: 238
- One-sixth 3279
If I had half as many nuts as I have now, I would have the same as Vendulka. If Vendulka had a third less than she has now, she would have the same size as me. If she had one-sixth less than she has and gave me that part, we would have the same amount. Ho - One-sixth 3227
Two cans hold 20 liters of milk. If we pour from one-sixth to the other, both cans will be the same. How much milk is in each can? - Donuts
At one table, Thomas, Filip, and Martin sit in the dining room. Together they eat 36 donuts. Filip ate twice as much as Thomas and Martin half over Filip? How many have donuts eaten each? - Three-hectolitre 3136
Workers rolled the oil into 115 two-liter and three-liter cans from a full three-hectolitre barrel. How many cans were there?
- Numbers 3090
The sum of the two numbers is 52.5. The first number makes up 75% of the second number. Specify both numbers. - Circumference 3088
In the parallelogram ABCD, the side AB is three times longer than the side BC. The circumference of the parallelogram is 20 cm. Find the lengths of the sides of the parallelogram. - Numbers 3053
The sum of the two numbers is 98. The first number is 4/3 times larger than the second. What are the numbers? - Two numbers
The sum of two numbers is 1. Identify these two numbers if you know that half of the first is equal to the third of the second number. - Pupils at cinema
Alena bought movie tickets for two groups of pupils. The first group purchased seven tickets for 1st and five for 2nd place, and she paid 62Kč. The second group bought 11 tickets for 1st and four for 2nd place and paid 82Kč. How much was the ticket for 1s
- Angles of a triangle
In triangle ABC, the angle beta is 15° greater than the angle alpha. The remaining angle is 30° greater than the sum of the angles alpha and beta. Calculate the angles of a triangle. - Bottles
Mrs. Violet brewed 15 l of raspberry juice. She poured it into 17 bottles. Some were 3/4 liter and someone liter. How many bottles were of these two types? - Is right triangle
One angle of the triangle is 36°, and the remaining two are in the ratio of 3:5. Determine whether a triangle is a rectangular triangle. - Determine 2860
Five natural numbers are given, each of which is a triple of the previous one. The largest number is bigger by 1152 than the middle number in this series. From these five numbers, determine the first number. - Grandmother's 2850
There were chickens and kittens in the grandmother's yard. Juraj found that if she added one more kitten, the number of kittens and chickens would be the same. But if she added five chickens to the original number, the kittens and chickens would have the
- Grandmother 2848
Old mom keeps chickens and hares. He has five times more hens than hares. Boris calculated that all animals have a total of 210 feet. How many hares and how many hens does my grandmother have? - Martin 2828
Martin was three times older than Pavol 12 years ago. Now Martin is twice as old as Pavol. How old is Martin now, and how old is Pavol? - Younger 2826
Milan and Juraj are a total of 56 years old. Milan is eight years younger than Juraj. Please find out how old each of them is. - Originally 2822
There were plums in the basket. They doubled their number and then took 8 plums. They doubled the number of plums left in the basket again and took 8 plums. They doubled the number once more and took 8 plums. Then, there was no plum left in the basket. Ho - Octopuses 2755
Both octopuses have 112 tentacles. The pink octopus has 20 tentacles less than the yellow. How many tentacles does a pink squid have, and how many tentacles does a yellow squid have?
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