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7.03 Solving contextual problems with integers

Interactive practice questions

Valentina and Maria want to meet at the cinema to watch a movie. Valentina lives $3$3 km west of the cinema, and Maria lives $5$5 km east of the cinema.

a

In the images below, the distance between each tick is $1$1 km. Which image shows the location of Valentina and Maria in relation to the cinema?

A

B

C

D
b

If we let $0$0 be at the cinema, and east to be the positive direction, which number line shows the location of Valentina and Maria in relation to the cinema?

A

B

C

D
c

How far would Maria have to travel to get to Valentina’s house?

Easy
1 min

The image below shows how the location of a miner travelling up and down a mine shaft relates to an integer on the number line.

Medium
1 min

Let the present year be represented by the integer $0$0, the years into the future by the positive integers, and the years into the past by the negative integers. Use the number line to answer the following questions.

Easy
1 min

William arrives to a meeting $15$15 minutes early, and he leaves as soon as the meeting ends, $75$75 minutes after he got there.

Easy
< 1 min
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Outcomes

MA4-4NA

compares, orders and calculates with integers, applying a range of strategies to aid computation

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