Ratio and Proportion: Knowledge Organiser

Ratio and Proportion

11+ Knowledge Organiser Tuition with Taylor

What do I need to know?

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1. I can solve problems involving ratios

2. I can solve problems involving proportions

3. I can solve problems involving percentages

4. I can solve problems involving similar shapes and scale factors

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I can solve problems involving ratios

Ratios compare two parts. For example, if the ratio of red apples to green apples is 1:4, this means that for every 1 red apple, I have 4 green apples.

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I can solve problems involving proportions

Proportions compare a part to the whole thing. Example: What proportion of the fish are blue? There are 7 fish in total and 4 are blue. So the proportion is: 4 in every 7. So, to find the proportion, first find the total amount and then find how much there is of the thing you're being asked about.

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I can solve problems involving percentages

To solve percentage problems it's important to remember that...- 50% is the same as dividing by 2. - 10% is the same as dividing by 10. - 25% is the same as dividing by 4. - 1% is the asme as dividing by 100. You can then use these percentages to find others. For example, if I was trying to find 32% of 400, I would find... - 10% of 400 is 40, so 30% is 40 x 3 which is 120. - 1% of 400 is 4, so 2% is 4 x 2 which is 8. So, 32% is 30% + 2% whichh is 120 + 8 = 128

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I can solve problems involving similar shapes and scale factors

Two shapes are similar if they are basically the same but are different sizes.For example, these two rectangles are similar:

The scale factor between these to shapes is 2 because you have to multiply all the sides on shape A to get to shape B.

8 cm

4 cm

8 cm

16 cm