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maths GCSE revision
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Gravity
Linear paper
Terms in this set (93)
Area of a circle
A=πr²
Area of a square
A=bxh
Area of a rectangle
A=l x w
Area of triangle
1/2 x bxh
Area of a parallelogram
A = bxh
Circumference of a circle
2πr
Volume of a cylinder
V= A of circle x l
Volume of cuboid
V=l x w x h
Volume and surface area of a cylinder
2πr2 x 2πrl
Volume and surface area of a pyramid and cone
1/3 × ba × ph
Angles in a triangle add up to...
180
Angles on a straight line add up to...
180
Angles in a quadrilateral add up to...
360
Exterior angle...
Equal to the sum of its interior parts
Alternate angles are...
Equal
Alternate symbol
Z
Corresponding angles are...
Equal
Corresponding symbol
F
Allied Angles
Add up to 180
Allied symbol
C
Vertically opposite angles are...
Equal
Angles in a polygon
(n-2) x 180
Interior angles in a polygon
180
Exterior angles in a polygon
360
Interior ANGLE in a polygon
= of interior angles / no of sides
Exterior ANGLE in a polygon
= of exterior / no of sides
Interior + Exterior angle =
180
Congruent means...
identical
The 3 rules of bearing
Starts at N
CLOCKWISE
3 figures
Pythagora theorem
a²+ b² = c²
Which is th longest side in pythagora theorem
c
Pythagora and triangles - longest side
sum and sq root longest side
Pythagora and triangles - shortest side
sum and - nums and sq root shortest side
1km is...
5/8m
Trapezium has _ pair of equal sides...
1 PARALLEL
Trapezium has _ lines of symmetry
0
Trapezium has rotational symmetry order...
1
Parallelogram has opposite sides and angles...
Equal and parallel
Parallelogram has _ lines of symmetry
0
Parallelogram has rotational symmetry order
2
Rhombus has all sides and angles...
Equal
Rhombus has opposite sides...
Parallel
Rhombus has _ lines of symmetry
2
Rhombus has rotational symmetry order...
2
Rectangle angles are all...
Right angles
Rectangle has opposite sides...
Equal and parallel
Rectangle has rotational symmetry order and lines of symmetry...
2
Kite has 2 adjacent sides...
Equal
Kite has 1 pair of opposites angles _ and others...
1
Kite has _ line of symmetry and rotational order symmetry...
1
The _ of a number are any numbers that divide into it exactly, e.g. 1 and itself
Factor
Factors of 6
1,2,3,6
HCF
Highest common factor
LCM
Lowest common multiple
Standard index form
Ax10n
15 000 000 in standard index form...
1.5 x 10 7
A tells us in Standard index form...
No between 1 and 10
N tell us in Standard index form...
How many places to move the d.p
3 x 10 4 sif
30 000
Square number
The product of a number and itself
Square number of 16
4
Prime number
A whole number divides by 1 and itself.
First 5 Prime numbers
2, 3, 5, 7, 11
Cube root of 125
5
Square root of 25
5
10 squared
100
10 cubed
1000
List the first five triangle numbers
1, 3, 6, 10, 15
Rule for triangle numbers
n(n+1)/2
1/5 of 20
20/5=4
3/5 of 20
20/5x3=12
40% of £50
20
30/10 to decimal
0.3
A car costs £9.999.90 b4 17.5% VAT, work out the cost of VAT
1,749.98
A radio is bought for £45 and sells for £63, what is the % profit?
63-45=18/45x100=40%
Dress bought in sale for £60, original cost £80, what is the % decrease?
60-80=20/original price x100 =25%
A new car falls in value by 30% in a year. After a year, it is worth £8,400, Find the price of the car when it was new > First step > original price
100-30=70
A new car falls in value by 30% in a year. After a year, it is worth £8,400, Find the price of the car when it was new?
8400/70 = 120x100=12000
Ratio of 15 to 12
5:4
Write the ratio 6:9 in the form of 1:n
1:1.5 divide by 6 to find n
Write the ratio 6:9 in the form of n:1
0.6667:1 or 2/3:1
A radio is sold for £63 and the % profit is 40%, what is the original price > first step original price
100 + 40= 140%
A radio is sold for £63 and the % profit is 40%, what is the original price?
140%/63=0.45 x 100 = 45
fraction to decimal 3/8
Divide top by bottom 0.375
Decimal to fraction
If terminator ends /10
If continues /9
Fraction to a %
x 100
% to fraction
/ 100
Decimal to %
x 100
% to decimal
/ 100
Sam does a scale drawing of his kitchen. He uses a scale of 1:100. He measures the length of the kitchen as 5.9m.
How long is the kitchen on the scale drawing? Give your answer in mm.
59m:590cm or 5900mm/100=59mm
Amit is 12 years old. His brother, Arun, is 9.
Their grandfather gives them £140, which is to be divided between them in the ratio of their ages. How much does each of them get?
12:9/3=4:3
4+3= 7
£140/7 = 20
4x20 = 80
3x20 = 60
Perimeter
The distance around a figure
£1:$1.68
Change £325 into euro
325 x 1.68 = 546
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