Integers - math word problems - page 16 of 18

Number of problems found: 348

Janice
Janice said that when you multiply a fraction less than 1 by a nonzero whole number, the product is always less than the whole number. Do you agree? Explain.
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?
Wax candles
A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 4 inches and a height of 7 inches. If the company used 7561.12 in³ of wax, how many candles did it make? Use 3.14, and do not round your answer.
Monty Hall
Suppose you're on a game show and have the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. What is the
Integer ratio solutions
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions.
Clotheslines
Mommy needs six clotheslines 360 cm long. Clotheslines are sold in the length of eight meters. How many of these clotheslines must buy mom if any does not want to be connected? How much does mommy pay for the clotheslines when one piece costs 24kč?
Five numbers in ratio
Five integers are in the ratio 1:2:3:4:5. Their arithmetic mean is 12. Determine the smallest of these numbers.
Integer cube
The length of the cube edge is an integer. Its volume is in cm³, a five-digit number divisible by 1331. What is the length of the edge of this cube?
Numbers
Find a number on the number line that has the same distance from these numbers:
Year 2018
The product of the three positive numbers is 2018. What are the numbers?
Triangles - combinations
How many different triangles with sides of whole centimetres have a perimeter of 12 cm?
Repairman
A repairman promised to complete repair work at the plant in 25 days. However, the work had to be shortened, so he took on a helper. Together, they finished all the repairs in a full day. How long would the helper take to do the work alone?
Three digits number
How many are three-digit integers such that they have no digit repeats?
Sugar - cuboid
Pablo received from his master a cuboid composed of identical sugar cubes, each weighing between 1000 and 2000. The Pejko eat sugar cubes in layers. On the first day, eat one layer from the front. On the second day, one layer is from the right, and on the
Task of the year
Find the number of integers from 1 to 10⁶ with ending four digits 2006.
Integer part system
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.)
Banknotes
$ 1390 was collected. How much was in $20 notes, and how many in $50 notes in that order? How many solutions exist?
Family height statistics
The average height of a member of a family of five is 1.5 m, the mode of their height is 1.2 m and the median is 1.6 m. Find out the heights of individual members of this family if you know that they are integers in dm.
Three-digit integers
How many three-digit natural numbers exist that do not contain zero and are divisible by five?
AND-NOT-AND
If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, the following integers will be in P and Q but not in R: A=−54 B=−50 C=42 D=100 E=252

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