Geometry, Raph12-29/30

Question

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Worked Solution

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Variant 0

DifficultyLevel

512

Question

The grid map below shows the names of a number of cities in Japan, and the roads that connect them.

The distance between Yokohama to Tokyo is about 30 kilometres by road.

Which of these is closest to the distance from Oyama to Nikko Park along the road?

Worked Solution

Yokohama to Tokyo ≈\approx 30 km.

Oyama to Nikko Park ≈\approx twice the distance of Yokohama to Tokyo.
∴\therefore Oyama to Nikko Park ≈2 ×\approx 2\ \times 30
≈\approx 60 km

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The grid map below shows the names of a number of cities in Japan, and the roads that connect them. The distance between Yokohama to Tokyo is about 30 kilometres by road. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/07/29.svg 450 indent vpad Which of these is closest to the distance from Oyama to Nikko Park along the road?
workedSolution
Yokohama to Tokyo $\approx$ 30 km. Oyama to Nikko Park $\approx$ twice the distance of Yokohama to Tokyo.
| | | | --------------------- | -------------- | | $\therefore$ Oyama to Nikko Park | $\approx 2\ \times$ 30 | | | $\approx$ {{{correctAnswer}}} |
correctAnswer
60 km

Answers

Is Correct?Answer
x

30 km

x

40 km

✓

60 km

x

100 km

Variant 1

DifficultyLevel

510

Question

The grid map below shows the names and locations of a number of country towns, and the roads that join them.

The distance between Farras Creek and Tanbar is around 100 kilometres.

Which of these is closest to the distance from Birdsville to Tanbar along the connecting road?

Worked Solution

Tanbar to Farras Creek ≈\approx 100 km.

Birdsville to Tanbar is about twice the distance of Tanbar to Farras.
∴\therefore Birdsville to Tanbar ≈\approx 2 x 100
= 200 km

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The grid map below shows the names and locations of a number of country towns, and the roads that join them. The distance between Farras Creek and Tanbar is around 100 kilometres. sm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/07/30.svg 500 indent vpad Which of these is closest to the distance from Birdsville to Tanbar along the connecting road?
workedSolution
Tanbar to Farras Creek $\approx$ 100 km. Birdsville to Tanbar is about twice the distance of Tanbar to Farras.
| | | | --------------------- | -------------- | | $\therefore$ Birdsville to Tanbar | $\approx$ 2 x 100 | | | = {{{correctAnswer}}} |
correctAnswer
200 km

Answers

Is Correct?Answer
x

100 km

x

150 km

✓

200 km

x

300 km

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