Numbers - math word problems - page 303 of 308
Number of problems found: 6143
- Solutions 8481
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions.
- Cube construction
A 2×2×2 cube will be constructed using four white and four black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. )
- 2x cone
Circular cone height 36 cm was cut plane parallel with the base. The volume of these two small cones is the same. Calculate the height of the smaller cone.
- A bag 4
A bag contains 18 balls that differ only in color, 11 are blue, and seven are red. If two balls are picked, one after the other without replacement, find the probability that both are (i) Blue (ii) Of the same color (iii) Of different colors
- Guests - party
There are 13 guests at each other's party. How many clicks will you hear?
- Z7-I-4 stars 4949
Write instead of stars digits, so the next write of the product of the two numbers is valid: ∗ ∗ ∗ · ∗ ∗ ∗ ∗ ∗ ∗ ∗ 4 9 4 9 ∗ ∗ ∗ ∗ ∗ ∗ 4 ∗ ∗
- Workers
The first worker completed the work in 40 hours, the second in 50 hours, and the third in 80 hours. How long will it take them to do the work together?
- Digits
Write the smallest and largest 2-digit natural number.
- Ten persons
Ten persons, each person, make a hand to each person. How many hands were given?
- Twice of radius
How many times does the surface of a sphere decrease if we reduce its radius twice?
- Arithmetic 40671
The number 20 is the arithmetic mean of the eight numbers. Determine their sum.
- Year 2018
The product of the three positive numbers is 2018. What are the numbers?
- Soldier
An experienced soldier digs a good trench in 30 hours. Two soldiers dug the same trench every 40 hours. How many hours will the ditch dig all three together?
- 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.
- Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400?
- Consecutive 29761
Determine three consecutive natural numbers, the sum of which is 66.
- Harmonic mean
If x, y, and z form a harmonic progression, y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5.
- Two rooms
If a woman cleans the room in 30 minutes and a man in 90 minutes, how long will it take them to clean two rooms?
- 3N on the number axis
The line represents the number axis, and the marked points correspond to the numbers a, - a, and a + 1, but in no particular order. Construct the points that correspond to the numbers 0 and 1. Discuss all the possibilities.
- Census pyramid
Vojta added five different prime numbers to the top row of the census pyramid. Their sum was 50. What was the biggest number he could get "down"?
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