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30 cards11+ Practice (England)

11+ Maths Formulas and Methods

30 flashcards on the area, angle, averages, ratio and number facts that come up in 11+ style maths practice. Study material written for practice.

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Area of a rectangle
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1
Area of a rectangle
Length x width.
2
Area of a triangle
Half x base x perpendicular height.
3
Area of a parallelogram
Base x perpendicular height.
4
Area of a trapezium
Half x (sum of the parallel sides) x height.
5
Area of a circle
pi x radius x radius. Use 3.14 or 22/7 if told to.
6
Circumference of a circle
pi x diameter, which is also 2 x pi x radius.
7
Volume of a cuboid
Length x width x height.
8
Surface area of a cube with side s
6 x s x s, because there are 6 equal square faces.
9
Angles in a triangle
Add up to 180 degrees.
10
Angles in a quadrilateral
Add up to 360 degrees.
11
Angles on a straight line
Add up to 180 degrees.
12
Angles around a point
Add up to 360 degrees.
13
Sum of the interior angles of a polygon with n sides
(n - 2) x 180 degrees.
14
Exterior angles of any polygon
Always add up to 360 degrees, so a regular polygon has exterior angle 360 / n.
15
Mean
Total of all the values divided by how many values there are.
16
Median
The middle value when the numbers are in order. With two middle values, find their mean.
17
Mode and range
Mode is the most common value. Range is the largest value minus the smallest.
18
Speed, distance and time
Speed = distance / time. Distance = speed x time. Time = distance / speed.
19
Percentage increase or decrease
Change divided by the original value, then x 100.
20
Finding a percentage of an amount
Find 10% by dividing by 10, then build the other percentages from it.
21
Reverse percentage
If a price after a 20% cut is 80% of the original, divide the new price by 0.8 to find the original.
22
Equivalent fractions, decimals and percentages
1/2 = 0.5 = 50%. 1/4 = 0.25 = 25%. 1/5 = 0.2 = 20%. 1/8 = 0.125 = 12.5%.
23
Ratio sharing
Add the parts, divide the total by that number to find one part, then multiply.
24
Lowest common multiple (LCM)
The smallest number that is in the times tables of both numbers, e.g. LCM of 6 and 8 is 24.
25
Highest common factor (HCF)
The largest number that divides exactly into both numbers, e.g. HCF of 12 and 18 is 6.
26
Prime numbers
Numbers with exactly two factors. 1 is not prime. 2 is the only even prime.
27
Cube numbers up to 10 x 10 x 10
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000.
28
Probability scale
Probability = number of ways it can happen / total number of equally likely outcomes. It is always between 0 and 1.
29
Midpoint of two points
Average the x-values and average the y-values.
30
Solving a simple equation
Do the same operation to both sides to get the letter on its own, working backwards through the steps.

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