PAss Functional Skills

Percentages and interest

Percentages and interest for A Level History OCR: what it means, how to set the working out, and the questions it is asked in.
  • A Level
  • OCR
  • History
  • Spec A16
  • 13 min read
  • 7 revision boxes

Introduction

2 boxes
1 min read

What is percentages and interest?

Listen to this box

Transcript

A short spoken summary of percentages and interest and where it is used.

A spoken walk-through of percentages and interest before you read the notes.
This idea appears again in the higher-mark questions, so it is worth over-learning.
The layout below is the one the mark scheme expects.

Diagram showing percentages and interest laid out step by step

The same idea drawn out, so the method is visible.
Worth knowing: ×10\times 10 moves every digit one column left.
6 rows

The percentages and interest reference table

The examiner marks the working, so a correct answer with no method still drops marks.
Worth knowing: a2+b2=c2a^2 + b^2 = c^2.
Term
Meaning
Example
Row 1 column 1
Row 1 column 2
x2+5x+6=0x^2 + 5x + 6 = 0
Row 2 column 1
Row 2 column 2
34×25\frac{3}{4} \times \frac{2}{5}
Row 3 column 1
Row 3 column 2
a2+b2=c2a^2 + b^2 = c^2

Learning

3 boxes
3 steps

How to work with percentages and interest

Practise the routine version until it is automatic, then move to the multi-step questions.
The layout below is the one the mark scheme expects.

Diagram showing percentages and interest laid out step by step

The same idea drawn out, so the method is visible.
Worth knowing: x2+5x+6=0x^2 + 5x + 6 = 0.
  1. Read the question and write down what is being asked for.
  2. Set out the working for percentages and interest in the order the method gives.
  3. Substitute the values and simplify.
Start from the definition and substitute the numbers the question gives you.
Simplify one line at a time: ≈160\approx 160.
Answer: x2+5x+6=0x^2 + 5x + 6 = 0
3 rules

Key facts: Percentages and interest

Sketch the shape even when the question does not ask for one — it makes the next step obvious.
Worth knowing: 34×25\frac{3}{4} \times \frac{2}{5}.

  • Rule 1

    How percentages and interest behaves in the 1st of the cases the specification names.
    ×10\times 10 moves every digit one column left

  • Rule 2

    How percentages and interest behaves in the 2nd of the cases the specification names.
    ≈160\approx 160
3 steps

How to work with percentages and interest

This idea appears again in the higher-mark questions, so it is worth over-learning.
The layout below is the one the mark scheme expects.

Diagram showing percentages and interest laid out step by step

The same idea drawn out, so the method is visible.
  1. Read the question and write down what is being asked for.
  2. Set out the working for percentages and interest in the order the method gives.
  3. Substitute the values and simplify.
  4. Check the answer against an estimate before writing it down.
Start from the definition and substitute the numbers the question gives you.
Simplify one line at a time: ×10\times 10 moves every digit one column left.
Answer: ×10\times 10 moves every digit one column left

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Examples

2 boxes
3 marks · worked

Worked example: percentages and interest

Practise the routine version until it is automatic, then move to the multi-step questions.
4 marks · worked

Practice question 7: a2+b2=c2a^2 + b^2 = c^2

Check the answer against an estimate before you move on, so a place-value slip is caught here.
Worth knowing: a2+b2=c2a^2 + b^2 = c^2.

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Common questions

How many marks is percentages and interest usually worth?
Between one and four, depending on how many steps the question asks for.
Is this on the A Level History OCR paper?
Yes — it sits in the Probability strand.