Mathematical content

Question 1

Percentages

Answer 1

Percentage means divide by 100

Question 2

Percentage to a decimal

Answer 2

1. Remove the % sign
2. Move the decimal point two places to the left

Question 3

Decimal places

Answer 3

Number of digits right to the decimal point.
Example 0.0045 is 4 decimal places.

Question 4

Decimal to a fraction

Answer 4

1. Work out the number of decimal places in your number.
2. If there are two decimal places then the denominator is 100, three decimal places then the denominator is 1000 etc.
3. Reduce the fraction by finding the highest common factor: the biggest number that divides evenly into both parts of the fraction.

Question 5

Ratios

Answer 5

Expressed as part-to-part or part-to-whole ratios.
Should always be divided by the highest common factor.

Question 6

Significant figures

Answer 6

A way to simplify very large or very small numbers by replacing some digits with a zero.

Question 7

Standard form

Answer 7

Another way of expressing very large or very small numbers. The rule is (number between 1 and 10) x 10

Question 8

Estimates and order of magnitude

Answer 8

Estimates - give a number to just 1 or 2 significant figures.
Order of magnitude - calculate standard form and compare exponents.

Question 9

Substituting values

Answer 9

You are given the equation a=b+c
You are given values for b and c (b=4 and c=7)
What is a? (a=11)