Ratio + prime numbers - practice problems
Number of problems found: 22
- The ratio 16
Express the following ratio in simplest form: 90:100 - Simple form
Given ratio 45: 90 = Write the ratio in a Simple form - Volunteers 81981
Volunteers planted saplings in the forest nursery; spruces made up 55% of all saplings; one-third were edible, and the rest were young pines. How many saplings did they plant if the number of saplings was greater than 1060 and less than 1090? - Together 81979
Three friends split the reward in the ratio of 3:5:7. One of them received exactly €49. How many euros did they get together? - Probability 81964
Calculate the probability of the event that you sit in seats 1 to 30 in the cinema at: a) seat marked with a prime number b) seat marked with an even number c) a seat marked with a number divisible by 3 or 4 - Differences 80551
Bolek and Lolek each had their own arithmetic sequence. Both Lolek and Bolek's sequence started with the number 2023 and ended with the number 3023. The two sequences had 26 numbers in common. The ratio of Bolek's and Lolka's difference was 5:2. What is t - Reduce ratio
Express the following ratio in simplest form: 30:42 - 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? - Three-fifths 34771
Calculate three-fifths of the ratio of the product and the sum of all prime divisors of 240. - Prime divisors
Find 2/3 of the sum's ratio and the product of all prime divisors of the number 120. - Ratio
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. - Diameters: 23901
When paying, we use euro coins with the following diameters: The 10-cent coin has a diameter of 19.75 mm. The 20-cent coin has a diameter of 22.25 mm. The 50-cent coin has a diameter of 24.25 mm. Find out in what ratio the diameters of these coins are. - Profitable company
Three businessmen decide to open up their own company. They agree to distribute the yearly profits made in the same ratio as their initial investments. They invest R 50 000, R 75 000, and R25 000, respectively. The profit made by the company in the first - Two gears
The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute, while the smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM - Chocolate
I have a box of chocolate - white, milk, and dark. The ratio of white to milk with dark is 3:4. The ratio of white and milk to dark is 17:4. Calculate the ratio between white, milk, and dark chocolate. - Three friends
Three friends had balls in a ratio of 2:7:4 at the start of the game. Could they have the same number of balls at the end of the game? Write 0, if not, or write the minimum number of balls they had together. - Oranges
The mother divided her three children's oranges in a ratio of 6:5:4. Two children gave 45 oranges. How many oranges were there? - Children's 6140
The store received a total of 666 pairs of children's, men's and women's shoes. Men were 2.5 times less than children, while children were 1.4 times more than women. Express in whole numbers the ratio of the number of pairs of children's, men's, and women - Pardubická 4651
Jirka decided to divide the winnings from the bet in Velká Pardubická between himself and his three younger brothers according to age in the ratio of 2:3:5:7. They paid each amount in whole crowns. One of the amounts was CZK 679. How big was the win? - Ornamental shrubs
Children committed to planting 240 ornamental shrubs. Their commitment, however, was exceeded by 48 shrubs. Write the ratio (r) of actually planted shrubs and commitment by the lowest possible integers a/b.
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