Half-Yearly -- Maths (LAST EXAM LETS GOOOOOO)

what is: numerical, categorical, discrete, nominal, ordinal

or continuous.

• Numerical: Numbers only.

• Categorical: Categories only.

• Discrete: Whole numbers only.

• Continuous: Any number, even decimals.

• Nominal: Labels, no order.

• Ordinal: Labels with order.

When to use: Sector, line and column graph

• Sector (Pie): Use for percentages.

• Line graph: Use for continuous changes.

• Column graph: Use for discrete comparisons.

What is displacement time graph

• Displacement-time graph: Distance from start point.

How to draw a dot plot

• Draw a horizontal number line.

• Label the values at the bottom.

• Put one dot for each data point.

• Stack dots vertically for repeated numbers.

• Add a clear title at the bottom

How to draw a polygon graph

• Draw the bottom and side axes.

• Find the midpoint of each data group.

• Mark a point at each group's height.

• Connect the points using a straight ruler.

• Join the lines to the bottom axis.

• Add a clear title at the bottom

“Twin what” is a sample space

Sample space: All possible outcomes. Remeber if the numbers repeat e.g 1,1 put that in the sample space

How to make an improper fraction into mixed

1. Divide top number by bottom number.

2. Whole number is the answer.

3. Put remainder over original bottom number.

how to make a mixed fraction into improper

1. Divide top number by bottom number.

2. Whole number is the answer.

3. Put remainder over original bottom number.

How to add fractions

• Make denominators same using LCM.

• Multiply top numbers to match.

• Add numbers with same denominator

How to subtract fraction

• Make denominators same using LCM.

• Multiply top numbers to match.

• Minus numbers with same denominator.

How to multiply fractions

• Multiply the numerators together.

• Multiply the denominators together.

• Combine answers into a fraction.

How to divide fractions

• Flip the second fraction upside down.

• Turn division into a multiplication.

• Multiply it

If you divide a fraction what happens

it turns into a multiplication

How to calculate average speed

total distance divided by total time

How to add, subtract, divide or multiply positive and negative integers

• Double minus: Turn into a plus.

• Double plus 67: turn into a minus

• Same signs: Add numbers. Keep the original sign.

• Different signs: Subtract numbers. Keep the numerically larger number's sign.

• Multiplying & Dividing Integers

  • Same signs: Answer is positive.

  • Different signs: Answer is negative.

WHAT IS THE ORDER OF OPERATIONS

• P / B (Parentheses / Brackets): Solve everything inside first.

• E / O (Exponents / Orders): Calculate powers and roots.

• M & D (Multiplication & Division): Work left to right.

• A & S (Addition & Subtraction): Work left to right.