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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
1min

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
1min

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
1min

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
< 1min
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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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