Prime numbers + divisibility - practice problems
Number of problems found: 136
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, which of the following integers will be in P and Q but not in R? A=−54 B=−50 C=42 D=100 E=252
- Check divisibility
Put a check under each column to identify whether each number is divisible by 2, 5, 10, 3, 6 or 9. @TB@ 54180#1 624 2700 5605 568 @TE@
- Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers.
- Most divisors
From the natural numbers from 1 to 100, find the one that has the most divisors.
- Eights of butter
How many eights of butter (1/8 of kg = 125 g) can be stored in a box with dimensions of 4 dm, 2 dm, 1.8 dm, if the eighth of butter has dimensions of 8 cm, 5 cm, 3 cm?
- Find unknown number
What is the number between 50 and 55 that is divisible by 2,3,6,9?
- Coloured numbers
Mussel wrote four different natural numbers with coloured markers: red, blue, green and yellow. When the red number divides by blue, it gets the green number as an incomplete proportion, and yellow represents the remainder after this division. When it div
- Prime divisors
Find 2/3 of the sum's ratio and the product of all prime divisors of the number 120.
- Summer camp
Some boys or girls signed up for the summer camp, which has a maximum capacity of 200 children. The main leader noticed that during the evening start, he could arrange the participants exactly in the twelve-step, sixteen-step, or eighteen-step, and no one
- Tractor wheels
The front wheel of the tractor has a circumference of 18 dm and the rear 60 dm. We will make a red mark on the lowest point of both wheels. The tractor then starts. At what distance from the start will both marks appear identically at the bottom again?
Three buses follow the same circular route. The first driver is the slowest because he has many stops, and it takes him 90 minutes to cross the route. The second driver will pass the circuit in 1 hour. The third driver has the fewest stops, and the circui
From two sticks 240 cm and 210 cm long, it is necessary to cut the longest possible pegs for flowers so that no residues remain. How many pegs will it be?
- Divisible by nine
How many three-digit natural numbers in total are divisible without a remainder by the number 9?
Alena collected 7.8 kg of blueberries, 2.6 kg of blackberries, and 3.9 kg of cranberries. Express the ratio in the smallest natural numbers in this order.
- Tram stop
The blue tram stops every 12 minutes, the red one 8 minutes. At 8 o'clock they left the stop together. How many times do they meet at a stop before 11 am?
- The florist
A consignment of 200 roses arrived at the florist in the morning. She sold more than half of them during the day. She wants to tie bouquets of the remaining roses. If she ties a bouquet of three, four, five, or six roses, there will always be one rose lef
- An example
An example is playfully for grade 6 from Math and I don't know how to explain it to my daughter when I don't want to use the calculator to calculate the cube root. Thus: A cuboid was made from a block of 16x18x48 mm of modeline. What will be the edge of t
How many are three-digit natural numbers divisible by 25?
- Common divisors
Find all common divisors of numbers 30 and 45.
- Length of a string
What is the smallest length of a string that we can cut into 18 equal parts and even 27 equal parts (in decimeters)?
Prime numbers - practice problems. Divisibility - practice problems.