GCSE Maths Revision Cards - Higher Tier

Z Angle
Alternate Angles
1 of 62
F Angle
Corresponding Angles
2 of 62
C Angle
Co-Interior Angles
3 of 62
X Angle
Vertically Opposite Angles
4 of 62
Angles in a triangle add up to..
180 Degrees
5 of 62
Angles in a quadrilateral add up to..
360 Degrees
6 of 62
Angles in a pentagon add up to..
540 Degrees
7 of 62
Angles in a hexagon add up to..
720 Degrees
8 of 62
Angles in a heptagon add up to..
900 Degrees
9 of 62
Angles in an octagon add up to..
1080 Degrees
10 of 62
Sum of Interior Angles
(n-2) x 180 Where n is the number of sides
11 of 62
Sum of Exterior Angles
360 divided by n Where n is the number of sides
12 of 62
Arc Length
θ divided by 360 x π x d Where d is the diameter
13 of 62
Area & Circumference of a circle
C=π x d A=π x r^2 Where r is the radius
14 of 62
Area of a Sector
θ divided by 360 x π x r^2 θ is the greek letter Theta. It represents the angle
15 of 62
Area of a trapezium
1/2(a+b) x h Replace a, b and h using the values from the trapezium
16 of 62
Area of a triangle
1/2 x a x b x Sin C
17 of 62
1. Join the two places 2. Draw a north line on the asked place 3. Measure the angle 90 Degrees from north 4. All bearings should have 3 figures
18 of 62
Circle Theorems 1-7
I'm literally the worst at this lmao. It also doesnt help with this website not letting you use pictures so now it's going to be very hard to describe them all ahaha; good luck figuring it out!
19 of 62
Triangle at diameter touching circumferance
The angle in a semi-circle is 90 Degrees
20 of 62
The angle at the centre is twice the angle at the circumference
21 of 62
Bow Tie
The angles in the same segment are equal
22 of 62
Opposite angles in a cyclic quadrilateral sum to 180 Degrees
23 of 62
radius & a tangent
The angle between a radius and a tangent is 90 Degrees
24 of 62
triangle & a tangent
Alternate Segment Theorem
25 of 62
two tangents
Tangents which meet at the same point are equal in the lengthy
26 of 62
X^n+1= 3/5 - Xn^3 divided by 5
27 of 62
Congruent Triangles *name all 4*
SSS=Side Side Side ASA=Angle Side Angle SAS=Side Angle Side RHS=Right-Angle Hypotenuse Side
28 of 62
Equation of a circle
29 of 62
Graphs of Exponential Functions (terrible explanation but err just memorize the equation lmao)
y=2^x Should look like a descending curve and should remain in positive y
30 of 62
Graphs of Reciprocal Functions (also a terrible explanation but again just memorize the equation)
y=1/x Should look like two curves: one in positive xy and one in negative xy
31 of 62
Cubic Graphs
y=x^3 - 3x - 1 Basically looks like two curves connected at the y axis *lmao like a worm*
32 of 62
Transformation of Graphs 1-4
lol lets see how well i do on describing these graphs now
33 of 62
a reflection of y=f(x) in the x-axis
34 of 62
a reflection of y=f(x) in the y-axis
35 of 62
y=f(x)+a or y=f(x)-a
+a moves y=f(x) a squares up or -a moves y=f(x) a squares down
36 of 62
y=f(x+a) or y=f(x-a)
+a moves y=f(x) a squares to the left or -a moves y=f(x) a squares to the right
37 of 62
Graphs of Trigonometric Functions 1-3
These coordinates are good to know like if you're doing a non-calc or actually.. with a calc as well because my calculator is actually ******
38 of 62
y=sin x
*S Shape* (0,0) (90,1) (180,0) (270,-1) (360,0)
39 of 62
y=cos x
*U Shape* (0,1) (90,0) (180,-1) (270,0) (360,1)
40 of 62
y=tan x *This one is so ******* confusing*
*3 curves* (0,0) to (90,1) (90,-1) to (180,0) (180,0) to (270,1) (270,-1) to (360,0)
41 of 62
Equation for Frequency Density (histograms)
Frequency divided by Class Width For example if the class width was 15<l≤25 the class width would be 10
42 of 62
Equation for Frequency (histograms)
Frequency Density x Class Width
43 of 62
nth term for Quadratic Sequences
nth term=an^2+bn+c Sequence=a+b+c First differences=3a+b Second differences=2a
44 of 62
Percentage Change
Change divided by Original x 100
45 of 62
Compound Interest
initial x multiplier^time
46 of 62
Direct Proportion
C=k x D^2
47 of 62
Inverse Proportion
P=k divided by Q^3
48 of 62
49 of 62
Quadratic Formula
x=-b±√b^2-4 x a x c / 2 x a
50 of 62
SOH:sin(x)=Opposite/Hypotenuse CAH:cos(x)=Adjacent/Hypotenuse TOA:tan(x)=Opposite/Adjacent
51 of 62
Sine rule
a/sin A=b/sin B=c/sin C
52 of 62
Venn Diagrams 1-6
iiiiiii dont even know anymore
53 of 62
everything in A
54 of 62
everything in B
55 of 62
Everything but A
56 of 62
everything but B
57 of 62
Everything in A & B
58 of 62
A n B
Just the centre of A & B
59 of 62
Volume of a cone
1/3 x π x r^2 x h
60 of 62
Volume of a prism
Cross sectional area x length
61 of 62
Volume of a sphere
4/3 x π x r^3
62 of 62

Other cards in this set

Card 2


Corresponding Angles


F Angle

Card 3


Co-Interior Angles


Preview of the back of card 3

Card 4


Vertically Opposite Angles


Preview of the back of card 4

Card 5


180 Degrees


Preview of the back of card 5
View more cards


No comments have yet been made

Similar Mathematics resources:

See all Mathematics resources »See all Algebra resources »