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mathematics UK Year 10 Mathematics (KS4)
 
Solved problems for the chapter:
 

Proportions

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Proportion and percentage change
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Detailed solution steps are available at:
 
https://en.openprof.com/wb/chapter:proportions/3555/


Example 1.

Calculate the angles of a triangle if the ratio of the interior angles is .

    
Example 2.

A mom and her son each ride a bike. If the tires of the mom’s bike with circumference of 2 meters spinned 314 times to cover a distance, what is the circumference of the tires of the son’s bike if it spinned 471 times to cover the same distance?

    
3.

If it takes three workers 15 days to complete a task by working 10 hours a day, how many workers would have to work 5 hours a day to do the same work in 10 days.

    
4.

A store sells kilograms of pears and kilograms of apples for the same amount. How much would a kilogram of pears and a kilogram of apples cost, if the price of a kilogram of apples is 5 monetary units cheaper than pears.

    
5.

If 5 workers complete a work in 10 days by working 8 hours a day, how long would it take 8 workers to complete the same work if they worked 10 hours a day?

    
6.

Angie and Petra wanted to buy shoes that initially cost £34. Angie waited for a discount and bought the shoes when the price was reduced by 10%. Petra postponed the purchase, after which the price was raised back to £34, and then the price of the shoes were raised by 20%. What is the price difference between them.