Integer equation - practice for 13 year olds
Number of problems found: 81
- Harold
Harold made a rectangular dog run in his backyard. The area of the dog run is 96 square feet. What are three different possible dimensions of dog run? - There 35
There are three points on a straight line: A, BC. If CD = 8x, DE = 3, and CE = x + 10, what is CD? Simplify your answer and write it as a proper fraction, mixed number, or integer. - Solution 83099
There are spiders and flies on the window. They have a total of 38 legs. How many spiders and flies are there if a spider has 8 legs and a fly has 6? Just give one solution. - Two-digit 82521
Karel had to multiply two two-digit numbers. Out of care, he changed the order of the digits in one of the factors and got a product that was 4,248 less than the correct result. What is the correct result? How much should Karl have earned?
- Position 81987
Find a number with six digits. If you put the last digit before the first, you get a new number that is five times larger. The digits between must not change their position. - Five-minute 80951
Karel has an average grade of exactly 1.12 from five-minute episodes. Prove that at least 22 of them have one. - Multiply 80797
When I multiply two equal natural numbers, I get the same result as when I add them together. Which ones are they? - Expressed 79474
The length of the cube's edge in cm is expressed as a natural number. Its volume is greater than 100 and less than 200. Calculate the surface area of the cube. - Completely 79274
Kitchen cabinets are sold in widths of 80 cm, 60 cm, and 40 cm. Which assembly can we choose if we have a wall 3.5 m long and we want to completely fill it with an assembly that also includes a dishwasher, the width of which is 60 cm, and the stove is 50
- Rectangles 70304
How many rectangles with side lengths expressed in natural numbers have an area of 96 cm²? - Circumference 66964
We have to construct a rectangle with a circumference of 30 decimetres. The rectangle has sides of whole decimetres. How many different rectangles can we make? - Conditions 66544
I have a box that contains white, milk, and dark chocolate candies. The ratio of white to milk candies is 3:4. The ratio of white to dark candies is 4:3. The least amount of candies in the box if the conditions of the ratio of candies are met. - Prepared 66494
Benches were prepared around the fire. When seven tourists sit on them, one tourist will sit alone on the last bench. When six of them all sat down, one had to stand. How many tourists were at the campfire if we know there were less than 100, and how many - Increased 64324
The number of books in the city library increased by 0.2% in 2008 and 0.6% in 2009. At the same time, the total number of books remained less than 300,000. How many books were added to the city library in 2009?
- Three dices
What is the probability that the sum of points 14 will be a roll of three dice (B, M, Z)? - Squares
From the square with the integer side, cut out the square with the integer side so that the residual area is 100. What is the longest possible side of the larger square? - Four-digit 55481
Find all four-digit abcd numbers to which: abcd = 20. ab + 16. cd, where ab and cd are double digits numbers from digits a, b, c, and d. - Chad buys
Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pounds of peanuts. How many 2-pound bags of peanuts should Chad buy to fill the 5/6-pound bags without having any peanuts left over? - A fraction
I think of a fraction. If we increase its numerator and denominator by one, the value of the fraction increases by one-tenth. What fraction do I think?
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