Reasoning - math word problems - page 42 of 87
Number of problems found: 1734
- Positive integers
Several positive integers are written on the paper. Michaella only remembered that each number was half the sum of all the other numbers. How many numbers could be written on paper? - Richard's numbers Z8-I-2 2019
Richard was playing with two five-digit numbers. Each consisted of different digits: one number used only odd digits and the other only even digits. After a while, he found that the sum of these two numbers starts with the repeated digit 1 (i.e. begins wi - Number divisibility puzzle
The number X is the smallest natural number whose half is divisible by three, a third is divisible by four, a quarter is divisible by eleven, and its half gives a remainder of 5 when divided by seven. Find this number. - Z9 – I – 4 MO 2019
Matúš landed with a parachute on an island inhabited by two kinds of natives: the Honest ones, who always tell the truth, and the Liars, who always lie. Before landing he glimpsed in the distance a harbour, to which he intended to get. At the first crossr - Sloth meeting distance
There are two sloths in the tree's branches. One is 2.5 m from the trunk, and the other is on the other side of the tree, 4 m from the trunk. The sloths head out to get to know each other. Calculate how far from the log they will meet if they climb at the - Athletic club
All athletic club boys lined up by size. In front of Peter was one-eighth of the total. Right behind Peter stood his brother Randy and behind Randy, another five-sixths of the total number of boys. Mark the unknown total number of athletic club boys x. 1, - Sister age ratio
Three sisters have birthdays today, and their ages are in the ratio of 2:3:4. In two years, their ages will be in the ratio of 5:7:9. Find what their ages will be in four years. - Time passing
Six years ago, Marcela's mother was two times older than her and two times younger than her father. When Marcela is 36, she will be twice as young as her father. How old are Marcela, her father, and her mother now? - Graduation party
There were 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected. - Triangle area ratio
In triangle ABC, point P lies closer to point A in the third of line AB, point R is closer to point P in the third of line P, and point Q lies on line BC, so the angles P CB and RQB are identical. Determine the ratio of the area of the triangles ABC and P - Records
Records indicate 90% error-free. If eight records are randomly selected, what is the probability that at least two records have no errors? - Natural number pairs Determine all natural numbers A and B pairs for which the sum of twice the least common multiple and three times the greatest common divisor of natural numbers A and B is equal to their product.
- Long bridge
Robert was walking on a bridge. When he heard a whistle, he turned and saw Kevin running at the start of the bridge. If Robert had walked toward Kevin, they would have met in the middle of the bridge. Instead, Robert hurried forward, not wanting to walk b - Integer ratio solutions
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions. - Hexagon
Divide a regular hexagon into lines with nine completely identical parts; none of them must be in a mirror image (you can only rotate individual parts arbitrarily). - Number divisor proof
The natural number n has at least 73 two-digit divisors. Prove that one of them is the number 60. Also, give an example of the number n, which has exactly 73 double-digit divisors, including a proper justification. - Price of cake
Honzík invited a few friends to his home and for refreshments he bought, among other things, 30 cakes of three different kinds. The price of one blueberry cake was 8 crowns, one poppy cake cost one crown more than one curd cake. Poppy cakes were a third, - Two math problems
1) The sum of twice a number and -6 is nine more than the opposite of that number. Find the number. 2) A collection of 27 coins, all nickels, and dimes worth $2.10. How many of each coin are there? The dime, in United States usage, is a ten-cent coin. In - Pine's forest
There were so many pines in the forest that they were sequentially numbered 1, 2, 3,..., and would use three times more digits than the pine trees alone. How many pine trees were there in the forest? - Test 10 questions
A test has 10 questions with multiple-choice answers. For the choice of the correct answer there are four options A, B, C, D, where always one of them is correct. How many are there all different possibilities for answers in this test, a) if its taker ans
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