Direct relationship + system of equations - practice problems
Number of problems found: 38
- Ratio
6 numbers are in the ratio 1:5:1:5:5:5. Their sum is 242. What are the numbers? - Angles ratio
The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss) - Function
For linear function f(x) = ax + b is f(10)=192; f(16)=170. Calculate m, if f(m) = 2008. - Circumference 20323
A triangle with sides a, b, and c whose circumference is 26 cm is true: ratio a:b is 4:3, and ratio b:c is 1:2. Find the lengths of the sides of this triangle. - Difference 3875
The four numbers are in a ratio of 5:7:4:6. Their difference is equal to -84. Specify these numbers. - Unknown amount of money
Damian and Denis split an unknown amount in the ratio of 5:4. Damian got six euros more than Denis. Calculate an unknown amount. Determine how much money Damian got and how Denis. - Circumference 7615
The sides of the rectangle are in a ratio of 3:5. Its circumference is 48 cm. Calculate the length of its diagonal. - Two squares
Two squares with sides in the ratio 5:2 have a sum of their perimeters 73 cm. Calculate the sum of the area of these two squares. - Hockey teams goals
Hockey teams fired 200 goals. The second team was 13 less than the first team, the third 16 less than the first, and the fourth team had 19 goals less than the first. How many goals fired each team? - Product V2
The price of the product was increased by 12%. Price increased by 273. How much money would this product cost if it was, on the contrary, by 19% discounted? - Ratio three numbers
Three numbers SUV are in the ratio 2:3:4. Their sum is 90. Find these numbers and write their add and sum. - Line segment
Cut a line segment of 15 cm into two line segments so that their lengths are in a ratio of 2:1. What length will each have? - Describe 6648
Images of three numbers are marked on the number line: 0, m, 3m-1. The marked pieces are the same length. a) express the ratio m:(3m-1) b) mark and describe the image of the number 1 on the number line. - Together 2780
Vlasta, Zuzka, and Vierka shared the reward in the ratio of 2:8:5. Zuzka and Vierka had 160 euros together. How old was Vlasta? - Coins
The money - coins are minted from the hardest bronze, which contains copper and tin in a ratio of 41:9. How much copper and tin are in 2kg of bronze money? - Trio ratio
Hans, Alena, and Thomas have a total of 740 USD. Hans and Alena split in the ratio of 5:6, and Alena and Thomas in the ratio of 4:5. How much will everyone get? - Numbers at ratio
The two numbers are in a ratio of 3:2. If we each increase by five would be at a ratio of 4:3. What is the sum of the original numbers? - Division
Three siblings, Helena, Oliver, and George, split the bag with candies on merit in the ratio 6:1:4. How many candies should each get if in the bag were 88? - Freedom
In the city are 3/9 of women married for 3/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number. - Gear
Two gears fit into each other and have a transfer of 2:3. Centers of gears are spaced 82 cm. What are the radii of the gears?
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