smc-1105-20-Maps and Scale Drawings

Measurement, STD1 M5 2024 HSC 32

A scale diagram is shown with locations and marked (assume grid squares are 1 cm × 1 cm).

Jo takes 24 minutes to walk from to (in a straight line) when walking at 3 km per hour.

What is the scale used in the diagram? (3 marks)
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What is the distance from to , in kilometres? (2 marks)
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♦♦♦ Mean mark 15%.

♦♦♦ Mean mark 28%.

Measurement, STD1 M5 2024 HSC 11

A scale drawing of a tree is shown. The scale is .

What is the actual height of the tree, in metres? (2 marks)

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♦ Mean mark 48%.

Measurement, STD1 M5 2023 HSC 31

A scale drawing of a garden plan, where 1 cm represents 2 m, is shown.

The shaded areas in the diagram represent the garden beds.

Woodchips will be laid as a mulch on the garden beds to a depth of .

What is the volume of woodchips required? (5 marks)

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♦♦♦♦ Mean mark 15%.

Measurement, STD1 M5 2023 HSC 12

A floor plan is shown.

What are the dimensions, in metres, of the living room? (2 marks)

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The shaded area of the kitchen floor is to be tiled. Each tile is 40 cm by 40 cm. How many tiles are needed to cover the kitchen floor? (2 marks)

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The tiles are supplied in boxes of 10 . Only full boxes can be purchased. How many boxes need to be purchased to tile the kitchen floor? (1 mark)

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♦ Mean mark (a) 51%.

♦ Mean mark (b) 43%.

Measurement, STD1 M5 2023 HSC 3 MC

Two towns are cm apart on a map that uses a scale of .

What is the actual distance between the two towns?

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♦ Mean mark 23%.

Measurement, STD1 M5 2021 HSC 21

A rectangular sportsground has been drawn to scale on a 1-cm grid as shown. The scale used is .

Kerry took 12 minutes to walk around the perimeter of this sportsground.

What was Kerry's average speed in kilometres per hour? (4 marks)

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♦♦♦ Mean mark 24%.

Measurement, STD2 M7 SM-Bank 7

The scale on a given map is .

If the actual distance between two points is 3.4 kilometres, how far apart on the map would be the two points be, in centimetres? (2 marks)

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Measurement, STD2 M7 2018 HSC 26g

A field diagram of a block of land has been drawn to scale. The shaded region is covered in grass.

The actual length of is 24 m.

If the length of on the field diagram is 8 cm, what is the scale of the diagram? (1 mark)

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How much fertiliser would be needed to fertilise the grassed area at the rate of 26.5 g /m²? (3 marks)

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♦♦ Mean mark 32%.

i.

ii.

$²$

Measurement, STD2 M7 2005 HSC 4 MC

The diagram is a scale drawing of a butterfly.

What is the actual wingspan of the butterfly?

2.5 cm
3 cm
15 cm
8.75 cm

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Measurement, STD2 M7 2012 HSC 27c

A map has a scale of 1 : 500 000.

Two mountain peaks are 2 cm apart on the map.

What is the actual distance between the two mountain peaks, in kilometres? (1 mark)

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Two cities are 75 km apart. How far apart are the two cities on the map, in centimetres? (1 mark)

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♦ Mean mark 37%
MARKER’S COMMENT: Better responses realised that 1 unit on the map represented 1 unit x 500,000 in real life.

i.

♦ Mean mark 44%

ii.