# IGCSE Math

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🇬🇧 | 🇬🇧 |

Formula | Sin |

Formula: | Cos |

Formula: | Tan |

Formula: | Area of a circle |

Formula: | Circumference of a circle |

A = lw | Area of a rectangle |

P = 2l + 2w or P = 2(l + w) | Perimeter of a rectangle |

Formula: | Area of a triangle |

A = bh | Area of a parallelogram |

Formula: | Area of a trapezium |

V = lwh | Volume of a cuboid |

2lw + 2wh + 2lh (sum of the area of all the faces) | Surface area of a cuboid |

Formula: | Surface of a cylinder |

Formula: | Volume of a cylinder |

Formula | Volume of a pyramid |

Formula: | Volume of a cone |

Formula: | Surface area of a cone |

Formula | Volume of a sphere |

Formula: | Surface area of a sphere |

Formula: | Gradient/slope |

Formula: | Sum of interior angles |

Formula: | Interior angle in a regular shape |

360 degrees | Sum of exterior angles |

Formulas | Distance/speed/time |

Only what A and B have in common | A n B (read as A intersect B) |

Everything in A AND everything in B | A U B (read as A union B) |

Everything NOT in A | A' (read as A complement) |

I = PRT | Simple Interest |

Formula | Compound Interest |

Formula: | Pythagoras theorem |

Image | Alternate angles |

Image | Corresponding angles |

Image | Vertical angles |

Always = 1 | Sum of probability outcomes |

Probability of A x probability of b | Probability of A and B happening |

Probability of A + probability of B | Probability of A or B happening |

Measure from the north and always measure clockwise | How do you measure bearings? |

Formula | Multiplying indices with the same base |

Formula | Dividing indices with the same base |

Formula | Multiplying indices together |

Any number or letter to the 0 power = 1 | Zero power |

Formula | Negative indices |

Formula | Percent change |

Y = y-value m = gradient/slope of the line x = x-value c = y-intercept (where the graph intersects the y-axis) | What do the letters in y = mx + c represent? |

Mean | The average of a set of numbers add all the numbers and divide by how many numbers there are |

Median | The number in the MIDDLE of a set of data (data must be in order from least to greatest!) |

Mode | The number in a set of data that occurs the MOST |

Range | The difference between the smallest and largest numbers in a set of data |

Order of symmetry | How many times the picture looks the EXACT same as you rotate it around |

Gradient/slope | Change in y divided by change in x the measure of how steep a line is |

Y-intercept | Where the graph crosses the y-axis |

Origin | The center of a coordinate plane (0,0) |

Parallel lines always have the same... | Gradient/slope |

Isosceles triangle | 2 sides are equal and 2 angles are equal |

Scalene triangle | All three sides and angles are different |

Obtuse | 90 < angle < 180 |

Acute | 0 < angle < 90 |

Reflex angle | 180 < angle < 360 |

What does "make x the subject" mean? | Change the equation so it's x = |

Expand | Multiply what's outside the brackets with what's inside the brackets (distribute) or if it looks like (x + 2)(x + 3) then FOIL |

FOIL: what does that mean? | Multiply the FIRST terms, then the OUTER terms, then the INNER terms, then the LAST terms |

Factor/factorize | Take an expression and put it back into brackets, often looking for a highest common factor to "factor out" |

Highest common factor | Find the largest factor two numbers have in common (factors are the numbers you multiply together to get the number) |

Least common multiple | The smallest multiple two numbers have in common (multiples are the answers to a number's multiplication tables. example multiples of 5 are 5, 10, 15, 20, 25, etc.) |

Prime factorization | The prime numbers that you can multiply to get a number, use a factor tree |

Rotation | Turn (list angle of rotation, clockwise or counterclockwise, and the center of rotation) |

Translation | Slide (list the vector x on top and y on bottom) |

Reflection | Flip (list equation of mirror line y = or x =) |

Enlargement | Make bigger or smaller (list scale factor-compare the side lengths, and find center of enlargement-drawing lines from each point) |

The letters x and y are going to be in your expression | Write an expression in terms of x and y means.. |

The largest a rounded number can be | Upper bound |

The lowest a number can be | Lower bound |

What does solve simultaneous equations mean? | You need to find the x value and the y value that make BOTH equations true! Usually use elimination method. |

Nth term | A rule for a sequence involving the letter n |

Line of best fit | A line drawn with an equal number of points above and below it |