Basic operations and concepts - math word problems - page 277 of 319
Number of problems found: 6371
- Whenever 12151
Mickey got so many candies that all the digits in this number were the same. Prove that whenever he can divide such several candies into 72 equal piles, he can also divide them into 37 equal piles. (Note: candies cannot be broken)
- Three-digit 80768
Nikola had one three-digit and one two-digit number written in her notebook. Each of these numbers was made up of different digits. The difference in Nicole's numbers was 976. What was their sum?
- Municipalities 63534
The tachometer with a relative measurement error of 5% showed a speed of 49 km/h when crossing municipalities. Did the car driver exceed the permitted speed of 50 km/h?
- Paper box
The hard rectangular paper has dimensions of 60 cm and 28 cm. We cut off the corners into equal squares, and the residue was bent to form an open box. How long must the largest volume of the box be beside the squares?
- Centimeters 81669
Eight centimeters on the map represent two kilometers in reality. Determine the scale of this map.
- Round table
Find the number of ways in which eight people can be seated at a round table such that 2 of them always sit together.
- Two dice
We roll two dice. What is the probability that the sum of the falling numbers is greater than 3?
- Kids
How many different ways can sit 6 boys and 3 girls in line if girls want to sit on the edge?
- Guests
How many ways can 8 guests sit down on 10 seats standing in a row?
- Arithmetic 83094
There were 31 students in the class, and the arithmetic average weight was 43 kg. Calculate the average weight in the class if a student weighing 91 kg has been added to the class.
- Cuboid edges
Calculate the volume and surface of a cuboid whose edge lengths are in the ratio 2:3:4 and the longest edge measures 10cm.
- Volume increase
How much percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm?
- Dimensions 67554
The chest freezer has dimensions (w * h * d) 79.5 * 87.6 * 66.5 cm. Its useful volume is 210 liters. What percentage of the total freezer volume is the usable volume?
- Conditional 73664
I roll a 7-wall dice. What is the conditional probability that three fell if an odd number fell?
- Our horses
Our horses have a supply of oats for 12 days. Our neighbor has half as much oats as we do, but twice as many horses. a) How many days would our neighbor's supply of oats last our horses? b) How many days would our neighbor's supply of oats last our horses
- Hydrogen 60813
One liter of air weighs 1,299 g, and one liter of hydrogen 0.089 8 g. How many times is hydrogen lighter? Round the result to units.
- Suspicion 82035
At the time of the theft, there were 96 people in the hotel; 61 were beyond suspicion. Of the 47 employees at the hotel, 23 are beyond suspicion. How many guests are not beyond suspicion?
- Salicylic 38401
Prepare 600 g of an 8% solution of salicylic acid.
- Sphere cut
A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the segment's volume. What is the distance of the cutting plane from the center of the sphere?
- Two alloys
Two alloys, Y and Z, are each made up of zinc, tin, and copper. In alloy Y, the ratio of zinc to tin is 2:5, and the ratio of copper to tin is 4:3. Find the ratio of copper:zinc:tin in alloy Y.
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