maths

Distance Chart

Multiples of 10

Multiplication table of a number 10,20,30 etc

Factors of 10

Numbers that make up a number 1×10,2×5

Prime number

A number that has only 2 factors: 1 and itself e.g. 2,3,5,7,11

Calculate the area of a triangle. Base 3cm, Height 4cm

6cm squared

Diameter, radius and circumference

Interior angles of a pentagon (5 sided shape) add up to how many degrees?

540 degrees

What is the formula for experimental or relative frequency?

= number of success divided by number of trials

Formula for circumference of a Circle

C= Pi D

Formula for Area of a circle

A= Pi r squared

How to calculate the mean from a grouped frequency chart

For each row, multiply the values by the frequency to get a total. Divide the total by the frequency.

What can you simplify when adding and subtracting in algebra?

Group same letters, and group numbers (imagine objects on the table)

What can you simplify when multiplying and dividing in algebra?

you can combine letters, combine numbers, and combine powers (like putting it all in a blender)

How do you rearrange formula to make another letter the subject. e.g. make w the subject: y = 3w - a

Cancel out by doing the opposite to remove everything leaving the letter you want. 

e.g. w = (y+a)÷3

What are the rules for +/- with negative and positive numbers e.g. -4 -6 and -4 + 6

if the sign is the same: keep the sign and add the numbers e.g. answers -10 and +2

What are the rules for multiply and divide negative and positive numbers e.g. -4 x -6 and -4 × 6 

if the sign is the same the answer will be positive answers = 24 and -24

How do you work out the mean average? e.g. 2 3 4 4 4 5 6 6 7 7 

Add up all the numbers and divide by how many numbers there are. Answer = 4.8

How do you work out the median number? e.g. 2 3 4 4 4 5 6 6 7 7 

Rank them in order and find the middle number (if it’s 2 numbers in the middle, find half way) Answer = (4,5) 9÷2=4.5

How do you work out the Mode?

e.g. 2 3 4 4 4 5 6 6 7 7 

Find the most common number that occurs. Answer = 4 (comes up 3 times)

How do you work out the range?

e.g. 2 3 4 4 4 5 6 6 7 7 

Rank them and take the smallest away from the biggest. Answer = 7-2 = 5

How do you calculate best buy?

Find out what one item costs by setting up a ratio table. Divide the quantity to get 1 and divide the cost by the same amount.

Answer = small pack £1.75 for 1, compared to large pack £1.77 for 1

How many MM in a CM?

10

How many CM in a M?

100

How many M in a KM?

1000

If I convert from a small unit e.g. M to a bigger unit e.g. KM, do I ÷ or x?

Bigger units take more space so we don’t so many of them, so we ÷

If I convert from a big unit e.g. M to a smaller unit e.g. CM, do I ÷ or x?

Smaller units take less space so we need more of them, so we x

Convert 5.5kg to g

5.5 × 1000 = 5,500g

Convert 623ml to L

623÷10÷100 = 0.623L

Which direction do the X and Y axis go on a graph?

X is horizontal → and Y is vertical

Draw alternate angles in parallel lines. What are their property?

Alternate angles are equal

Draw corresponding angle in parallel lines. What are their property?

Corresponding angles are equal

Draw co-interior angles parallel lines. What are their property?

Co-interior angles add up to 180 degrees

What do angles on a straight line add up to?

180 degrees

What do angles round a point add up to?

360 degrees

Draw vertically opposite angles in parallel lines. What are their property?

Vertically opposite angles are equal

What is this symbol? What is the answer?

Square root symbol. answer = 3 (3×3=9)

What is this symbol? What is the answer?

Cubed root symbol. Answer = 2 (2×2×2=8)

Solve this fraction

= 15/8

What do the symbols in y = mx + c represent?

M is the gradient (also called the slope) of a linear equation. It determines the steepness and direction of the line.
C is the y-intercept, where the line crosses the y-axis.
Y and X are any co-ordinates on the Y and X axis

If M > 0 what will the graph line look like?

the line slopes upward (from left to right)

If M < 0 what will the graph line look like?

the line slopes downward (from left to right)

If M = 0 what will the graph line look like?

the line is horizontal

How do you calculate the gradient of a line?

Pick to co-ordinates on the line. Find the rise (value it goes up by) ÷ the step (value it goes along by)