Dividing in a given ratio
Types of exercises: dividing in a given ratio, the whole from one part, dividing in a given ratio - the difference is known.
Exercises are drawn at random from a large bank - every click gives a different set.
Narrow the topic
Solved: 0 of 10
Problem
Sophie and Julia shared an amount of money in the ratio 3 : 2. Sophie got 234 zł more than Julia. How much did Julia get?
Problem
Brass is an alloy of copper and zinc. In a certain brass the masses of copper and zinc are in the ratio 2 : 1. How many kilograms of zinc are there in 51 kg of this brass?
Problem
An amount of money was split into two parts in the ratio 1 : 9. The larger part is 261 zł. How much was the smaller part?
Problem
A piece of string was cut into two parts in the ratio 1 : 3. The longer part is 98 cm longer than the shorter one. How many centimetres long is the shorter part?
Problem
The angles of a triangle are in the ratio 7 : 6 : 5. Find the smallest angle of this triangle.
Problem
An amount of money was split into two parts in the ratio 4 : 1. The larger part is 540 zł. What was the whole amount?
Problem
Philip and Jacob shared an amount of money in the ratio 9 : 1. Philip got 216 zł more than Jacob. How much did Jacob get?
Problem
Kate and Michael shared 936 zł in the ratio 5 : 8. How much did Kate get?
Problem
An amount of money was split into two parts in the ratio 2 : 7. The smaller part is 124 zł. How much was the larger part?
Problem
A piece of string was cut into two parts in the ratio 7 : 3. The longer part is 88 cm longer than the shorter one. How many centimetres long was the whole piece of string?
This address is one particular set - everyone who opens it gets exactly the same exercises. Copy the link from the address bar and send it to the class. You can generate a new set at the top of the page.
PhiBoard is a free online whiteboard for maths
These exercises are part of it. On the board itself you can plot a function, write a formula in LaTeX, or solve a problem together with a teacher or a friend - live, in the browser. Our app is completely free.