Ratio, Proportion & Rates Assessment

6 questions · 12 parts · 14 marks

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1aEasy1 mark

A sum of $84 is shared in the ratio 3:4. What is the smaller share?

1bMedium1 mark

A cyclist travels 18 km in 45 minutes. The average speed is ____ km/h.

Answer

2aHard3 marks

Create a clear annotated answer on the canvas. Use a diagram, graph, flowchart, equation layout and/or concise labels to show your reasoning.

A car travels 30 km at 60 km/h and then 30 km at 30 km/h. Explain why the average speed is not 45 km/h and calculate it.

Draw with the mouse or a finger.

3aEasy1 mark

How do you simplify a ratio?

3bEasy1 mark

How do you divide a quantity in a ratio?

3cEasy1 mark

What is a rate?

4aEasy1 mark

What is average speed?

4bEasy1 mark

What does direct proportionality mean?

5aMedium1 mark

Use the lesson knowledge to answer precisely: How do you simplify a ratio?

5bMedium1 mark

Use the lesson knowledge to answer precisely: How do you divide a quantity in a ratio?

6aMedium1 mark

A town has a population of 640,000 and covers an area of 320 km². Using population density = population ÷ area, find its population density in people per km².

Answer

6bMedium1 mark

Write the ratio 8 : 20 in the form 1 :

n

. Give the value of

n

Answer