Reasoning - math word problems - page 42 of 88
Number of problems found: 1754
- Painters
Ten painters will paint the school in 20 days. How many days do four painters paint the school at the same pace of work? - Grandmother money distribution
Peter and John received 315 CZK from their grandmother. Peter received a third more than John. How many crowns did each of them have? - Pie ingredient weights
The cookbook by Matthew Matemakak says: The greatest common divisor of flour weight and sugar weight is 15, the greatest common divisor of sugar weight and lemon peel weight is 6, the product of sugar weight and lemon peel weight is 1800, and the smallest - Kocour coin values In Kocourkov, they use coins with only two values expressed in Kocourkov crowns by positive integers. With a sufficient number of such coins, it is possible to pay any integer amount greater than 53 cats’ crowns accurately and without return. However, we
- 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.
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