Question bank: Operations: Ratios

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Question 1:

Easy

What is the ratio of two parts of a quantity to three parts of the same or three parts of another quantity, expressed in fraction?

Operations: Ratios

Question 2:

Easy

What is the ratio between two liters of water and three liters of juice?

Operations: Ratios

Question 3:

Medium

Operations: Ratios

Contextualized Question

Question 4:

Hard

An observatory is monitoring a star moving away from our planet. The star's speed of separation is proportional to the distance between Earth and the star. After an hour of observation, the star is located 500 million kilometers away, and then the team of scientists detects an explosion that increases the separation speed by 50%. Considering that the star's separation speed before the explosion was 200,000 kilometers per second, determine: 1) The new separation speed of the star after the explosion. 2) The ratio between the new and the old separation speed. Explain, based on the concepts of ratio and proportion, how the increase in distance between Earth and the star affects the separation speed, considering the scenario without the explosion and maintaining the initial proportion.

Operations: Ratios

Theorical Question

Contextualized Question

Question 5:

Medium

João and Maria are friends and decided to save money to buy a gift for their teacher. João saved R$ 75 in 5 weeks, while Maria managed to save R$ 135 in 9 weeks. a) What is the ratio of money saved by João in relation to the weeks? b) What is the ratio of money saved by Maria in relation to the weeks? c) If both continue to save in the same proportion, who will have saved R$ 200 first and in how many weeks?

Operations: Ratios

IARA TIP

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