Tristan Maths Flashcards
How do we calculate simple interest?
Add the interest rate to the original amount each year. Amount = Original amount x (1 + Interest rate x Number of years)
How do we calculate compound interest?
Amount = Original amount x (1 + Interest rate) ^ (Number of years)
Simple interest=5%We start with £150, What do we have after 2 years?
Original amount= £150Interest rate= 1+0.05Number of years= 2 150x1.05x2= £165
Compound interest of 5% for 2 years on £150
£150 x (1.05)^2 = £165.38
Write 1/2 as a decimal and as a percentage.
Decimal: 0.5Percentage: 50%
Write 25% as a decimal and a fraction.
Decimal: 0.25Fraction:1/4
Write 0.2 as a percentage and a fraction.
Fraction: 1/5Percentage: 20%
Write 1/3 as a decimal and a percentage.
Decimal: 0.3Percentage: 33.3%
Write 1/8 as a decimal and a percentage.
Decimal: 0.125Percentage: 12.5%
Write 0.1 as a fraction and a percentage.
Fraction: 1/10Percentage: 10%
Write 16.6% as a decimal and a fraction.
Fraction: 1/6Decimal: 0.16
Write 66.66% as a decimal and a fraction.
Fraction: 2/3Decimal: 0.6
1²
1 x 1 = 1
2²
2 x 2 = 4
3²
3 x 3 = 9
4²
4 x 4 = 16
5²
5 x 5 = 25
6²
6 x 6 = 36
7²
7 x 7 = 49
8²
8 x 8 = 64
9²
9 x 9 = 81
10²
10 x 10 = 100
12²
12 x 12 = 144
11²
11 x 11 = 121
13²
13 x 13 = 169
14²
14 x 14 = 196
15²
15 x 15 = 225
1³
1 x 1 x 1 = 1
2³
2 x 2 x 2 = 8
3³
3 x 3 x 3 = 27
4³
4 x 4 x 4 = 64
5³
5 x 5 x 5 = 125
6³
6 x 6 x 6 = 216
7³
7 x 7 x 7 = 343
8³
8 x 8 x 8 = 512
9³
9 x 9 x 9 = 729
10³
10 x 10 x 10 = 1000
12³
12 x 12 x 12 = 1728
What is the longest side of the right angle triangle called?
Hypotenuse.
How do you know which side is the hypotenuse (longest side of the right angle triangle)?
It is always opposite the right angle.
What does Pythagoras’ theorem state?
It states that for all right angled triangles, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
What is the Pythagoras theorem formula?
a2 + b2 = c2
Surface area of a cube
6a2
Surface area of a cuboid
2(lh+ lw + hw)
Surface area of a cone
Pie r(l+r)
Surface area of a cylinder
2 x pie x r(r+h)
Surface area of a sphere
4pier2
Surface area of a hemisphere
3pier2
Volume of a cube
L3
Volume of a cuboid
Lwh
Volume of a prism
Bh
Volume of a cylinder
Pier2h
Volume of a cone
1/3pier2h
Volume of a pyramid
1/3 base x height
Volume of a sphere
4/3pieR3
Area of a triangle
Base x height / 2
Area of a parallelogram
Bxh
Area of a rhombus
Bxh
Area of a rectangle
Lxw
Area of a square
Lxl
Area of a circle
Pier2
Circumference of a circle
Pied
What do you do when dividing integrals (to the power of)
Subtract them.
In SOHCAHTOA, what does S stand for?
Sin
In SOHCAHTOA, what does C stand for?
Cos
In SOHCAHTOA, what does T stand for?
Tan
In SOHCAHTOA, what does O stand for?
Opposite
In SOHCAHTOA, what does A stand for?
Adjacent
In SOHCAHTOA, what does H stand for?
Hypotenuse
How do we find the mode?
Order the numbers from lowest to highest and see which number appears the most.
How do we find the mean?
Add all the numbers together and then divide by the amount of numbers. Eg. 1 + 7 + 5 + 4 = 17
17/ 4 = 4.25
What is the formula for density?
Density = mass / volume
What is the SOHCAHTOA calculation for Sin?
Opposite / hypotenuse
What is the SOHCAHTOA calculation for Cos?
Adjacent / hypotenuse
What is the SOHCAHTOA calculation for Tan?
Opposite / adjacent
What is the rule of Bidmas?
Brackets, Indices, Division, Multiplication, Addition, Subtraction
What are bearings?
Angles measured CLOCKWISE from NORTH
What is: 1⁄x the same as?
(Law of indices)
x-1
What is: √x the same as?
(Law of indices)
x½
What is x0
1
What is x1
x
What is an x am
an+m
What is an ÷ am
an-m
What is (an)m
an x m
What is a dependent event?
Events whose probability IS affected by a previous event.
What is an independent event?
Event where the probability IS NOT affected by other events.
What does P (A n B) equal?
P (A and B)
What does P (A u B) equal?
P (A or B)
