New
New
Year 7

Describing more conversions with ratio

I can use ratio to describe conversions.

New
New
Year 7

Describing more conversions with ratio

I can use ratio to describe conversions.

Lesson details

Key learning points

  1. Maps are a practical example of a multiplicative relationships.
  2. The scale factor is the multiplier.
  3. Multipliers have been used in previous learning, such as converting between units of measurement.

Common misconception

Using multiplication as repeated addition leads to incorrect additive strategies of ratios.

Focus on the multiplicative relationships between parts to whole or whole to parts.

Keywords

  • Proportion - Proportionality means when variables are in proportion if they have a constant multiplicative relationship.

  • Ratio - A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.

Pupils measure items around the classroom/school and convert the lengths given a scale.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Complete the sentence: The exchange rate shows a relationship between 2 currencies.
Correct Answer: multiplicative, multiply, times
Q2.
A graph representing a proportional relationship must go through which point?
(2, 1)
(2, 2)
Correct answer: (0, 0)
(1, 2)
Q3.
Use the graph to convert £100 into dollars ($).
An image in a quiz
Correct Answer: £125, 125£, 125 pounds, 125
Q4.
Use the graph to convert $25 into pounds (£).
An image in a quiz
Correct Answer: £20, 20£, 20 pounds, 20
Q5.
£1 : ¥182. Use this exchange rate to convert £300 into yen (¥).
Correct Answer: ¥54 600, 54600, 54 600, 54600 yen, 54 600 yen
Q6.
£1:¥182 Use this exchange rate to convert ¥31 850 into pounds (£).
Correct Answer: £175, 175, 175£, 175 pounds

6 Questions

Q1.
In this list of common metric units of length which one is missing? millimetre, , metre, kilometre
Correct Answer: centimetre, cm, centimetres, centimeter, centimeters
Q2.
1 km = 1000 m, 1 m = 100 cm. What is 480 000 cm in kilometres?
480 km
48 km
Correct answer: 4.8 km
0.48 km
0.048 km
Q3.
The scale on a map is 1:300 000. The distance between two places on the map is 5 cm. What is the distance in real life in kilometres?
1.5 km
Correct answer: 15 km
150 km
1500 km
15 000 km
Q4.
The scale on a map is 1:50 000. The distance between two places is 4.3 km. What is the distance on the map?
0.086 cm
0.86 cm
Correct answer: 8.6 cm
86 cm
Q5.
The length of a leaf is 3.5 inches. Convert this into centimetres given that 1 inch = 2.54 cm.
Correct Answer: 8.89 cm, 8.89, 8.89cm, 8.89 centimetres, 8.89 centimetre
Q6.
The distance between London and Edinburgh is 403 miles. Convert this into kilometres given that 5 miles = 8 km.
Correct Answer: 644.8 km, 644.8km, 644.8, 644.8 kilometres, 644.8kilometres