Reasoning - math word problems - page 46 of 87
Number of problems found: 1734
- Plates - gold
The father bequeathed to his two sons 4 gold plates in the shape of a square, which were 1 mm thick. The side lengths of these plates were 5 cm, 10 cm, 10 cm, and 15 cm. The sons were to receive the same amount of gold. How many gold plates did each son r - Pages counting
There are pages numbered 2 to 104 in the book. How many digits have to be printed to number the pages? - Ribbon on the cube
A cubical gift box is tied with a piece of ribbon. If the total length of the free ends and the bow is 18 inches, what is the length of the ribbon used? (Each side of the cube is 6 inches). - Lake or pond
A landlord has a square pond. Trees grow around it. He wants to double the area of the pond without cutting down or flooding any trees. How will he do that? - Textbook page numbering
A total of 3389 digits were needed to number all the sheets of the mathematics textbook. Assume that in a book, every leaf outside the plates is numbered. How many pages does this textbook have if it is: a) single-volume b) two-volume (with both parts hav - Tangent spheres
A sphere with a radius of 1 m is placed in the corner of the room. What is the largest sphere size that fits into the corner behind it? Additional info: Two spheres are placed in the corner of a room. The spheres are each tangent to the walls and floor an - Three shooters
Three shooters each fire once at the same target. The first hits the target with a probability of 0.7, the second with 0.8, and the third with 0.9. What is the probability of hitting the target: a) exactly once? b) at least once? c) at least twice? - Steamers Meeting Time
Three steamers leave the port. The first regularly returns after three months, the second after four, and the third after six months. How long before they meet again in the port? - In the orchestra
In the school orchestra four musicians play – one the violin, one the clarinet, one the cello, and one the trumpet. During a performance not always all four play at once. Sometimes only one instrument plays, sometimes two, sometimes three, and sometimes a - Two Typists Pages Written The two typists wrote a total of 65 pages; although the first typed for an hour longer than the second, but typed 5 pages less; the second types 2 more pages per hour than the first. How many pages per hour does each typist write?
- Stable people count
There are nurses and horses in the stable. George calculated that they have 11 heads and 36 all legs. How many people are in the stable? - Gold rods
In one kingdom, two gold rods were inherited over generations. But King Emanuel had three sons who could not agree on anything. He therefore wanted to break one rod so as to make three rods out of two. The youngest son gets the shortest rod, the oldest so - Swimmer direction time
Two swimmers trained together in a small pool. Swimmer Pike will swim the pool in 16 seconds and swimmer Kaprik in 20 seconds. Both swimmers suddenly jumped into the pool from the same edge and, for 160 seconds, swam along the length of the pool back and - White Blue Balls Probability
There are eight white balls and several blue balls in the pocket. The probability of pulling out the white ball is 2/3. How many blue balls are in your bag? - Three painters
One painter would have painted the fence for 15 hours, the second for 12 hours. The plot had to be painted in four hours, so they called the third one, and all worked together. For what time would the third painter paint fence the fence alone? - Class Passing Rate Girls
There are 30 boys in the class, and 28 of them passed. All the girls passed. A total of 95% of the students passed the course. How many girls are in the class? - Each with each
Five pupils from the 3 A class played table tennis. How many matches did they play with each other? - Triangle height calculation
The sides of the ABC triangle measure 39 cm, 42 cm, and 45 cm. The second-longest height of this triangle is 36 cm. What is its shortest height? - Cottage room occupation
Triple and quadruple rooms are available in the cottage for 30 children. Rooms are occupied so that all beds are always occupied. Determine how many rooms the children will occupy in total if there are four times as many children in the four-bedroom rooms - Dice box count
Stanley got a box of dice. Half of them were brown and blue, and the other half were red, yellow, and green. There were 12 more red than yellow dice, 19 more red than green, and 5 more green than yellow. How many cubes were in the box?
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