Prime numbers - practice problems - page 6 of 26
Number of problems found: 519
- Rectangle-shaped 80074
Pupils had to stack rectangle-shaped pictures with dimensions of 210mm and 84mm so as to cover the square. What is the smallest square we can cover like this, and how many images do we need? - Reduce ratio
Express the following ratio in simplest form: 30:42 - Divisible 79464
The teacher wrote a number less than 50,000 on the board. The first student said: This number is divisible by 2 The second student said: This number is divisible by 3 And so on, down to the last one who claimed it was divisible by 13. Two in a row lied. W - Leftovers from boards
The carpenter has three boards 360 cm, 27 dm and 450 cm long, and he wants to cut them into boards of the same length so that there are no leftovers. What will the board be to make it as long as possible? - Determine 79374
Determine how many pieces of squares the chocolate would have if, after dividing it into the smallest pieces of the square, we would divide it without remainder between five and three people equally to each person. - Hamburgers 79184
Two sellers, each in their stand, sold hamburgers at the same price, expressed as a natural number in CZK greater than 30. The first seller received 1260 CZK, and the second received only 792 CZK. How much CZK did 1 hamburger cost? How many hamburgers did - Owl A,B,C
Owl a gives a hoot every 7 minutes. Owl b gives a hoot every 9 minutes. Owl c gives a hoot every 5 minutes except when he has heard owl a or b give a hoot within the previous 2.5 minutes. If this happens, owl c doesn't give a hoot. If all three owls give - The Iceland
There is a geyser and a volcano in a nature reserve in Iceland. The geyser erupts regularly every 18 days, and clouds of smoke rise from the volcano every 40 days. How many times in the course of 9000 days will there be a situation where we can observe bo - Three 205
Three metallic bars of lengths 400 cm, 600 cm, and 720 cm are cut into equal pieces. Find the largest possible area of a square that can be made from any of the three bars. - Three-step 78424
In the physical education lesson, students entered the two-step, three-step, four-step, six-step, and eight-step classes, but there was always one student left. How many students practiced if there were more than 40 and less than 50? - Six people
Six people who get the same salary arrange them in increasing order of their savings and also mention who saves the most Anil 1/3. Duma 2/5. Niki 1/4.CAI 2/3. Kat 3/4. Boo 1/2. - Compare fractions
Find which is the larger of the two fractions: 11/32, 7/24 by expressing the numbers as: a) fractions with the same denominator; b) decimals. - Compare three fractions
Which of the three rational numbers is the largest? 1/7, 6/17, 4/17 - Susan 3
Susan has 90 sweets, 36 chocolates, and 60 jellies. She wants to pack the items equally into goodie bags without any leftover items. How many bags will she pack maximum? How many sweets, chocolates, and jellies will be in one bag? - LCM of three ints
Find the least common multiple (LCM) of three numbers: 50, 120, and 135. - What is 20
What is the least number that should be added to 2497 so that the sum of the digits is divisible by 5, 6, and 10? - Treasury 73334
Peter has only two crowns in the treasury and can divide them both in a ratio of 4:5 and in a ratio of 4:7. How many crowns does Peter have in the money box if the amount saved is less than 300 CZK? - Is prime?
Which of the following numbers is prime? 21,11,18,25 - Divisible 72004
Find the natural number between the numbers 70 and 80 divisible without the remainder 5, 3, 15, and 25. - Rectangles 70304
How many rectangles with side lengths expressed in natural numbers have an area of 96 cm²?
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