Proportional?
directly, inversely or non proportional
Problems of proportionality
% of
Problems of percentages
100

The weight of an apple and its price.

YES

100

The volume of water and its weight.

DIRECTLY

100

Rosa has paid 3.60€ for 300 grams of cheese. How much will she pay for 150 grams?

1.80 €

100

10 % of 83

8.3

100

80% of the 430 employees in a factory work the morning shift. How many work the morning shift?

344 employees work the morning shift.

200

A person's age and the number of times he goes to the doctor.

NO

200

The flow of a tap and the time it takes to fill a pool.

INVERSELY

200

A tap fills a 20-litre bucket in 5 minutes. How long will it take to fill a 12-litre container?

It will take 3 minutes

200

25% of 50

12.5

200

A survey of Sevilla reported 620,000 inhabitants, but the town's population has increased 5% since then.

What is the current population?

the current population is 651,000 inhabitants.

300

The speed of a train and the time it takes to travel from Sevilla to Valencia.

YES

300

The speed of a car and the time it takes to travel a certain distance.

INVERSELY

300

A hiker, walking at 4 km/h, travels a certain distance in 1 hour and 40 minutes. How long will it take a cyclist to cycle the same distance at 20 km/h?

20 minutes

300

75% of 84

63

300

The Biology teacher is on a diet because he has 125 kilos. In a week he has lost 15. What was her percentage weight loss?

He lost a 12% of her weight

400

The price of a book and its numer of pages.

NO

400

The price of apples and the number of kilos I can buy with the money I have.

INVERSELY

400

Four harvesters cut a hay field in three hours and twenty minutes. How long will one harvester take? What about five harvesters?

One - 13 hours and 20 minutes

Five - 2 hours and 40 minutes

400

32% of 50

16

400

A family buys a television that cost 840€. They pay 30% in cash, and the rest in 6 moths instalments. How much is each instalment?

An instalment is 98€

500

In a football match. The number of shots on target and the goals.

NO

500

The weight hanging from a spring and its length.

DIRECTLY

500

A train takes 8 hours to go from city A to city B, at an average speed of 54 km/h. How long will another train take to travel the same distance at 180 km/h?

It will take 2 hours and 24 minutes (144min)

500

120% of 751

901.2

500

For a mobile phone that has a discount of 25% I paid 150€. How much did it cost without the discount?

The price without discount is 200€

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