Maths Higher

Question 1

Alternate angles

Answer 1

In a Z SHAPE and are equal

Question 2

Corresponding angles

Answer 2

In an F SHAPE and are equal

Question 3

Co-interior angles

Answer 3

In a C SHAPE and add to 180

Question 4

Vertically opposite angles

Answer 4

Opposite angles are always equal

Question 5

Angles in a triangle

Answer 5

Add to 180

Question 6

Angles in a quadrilateral

Answer 6

Add to 360

Question 7

Shapes with more than 4 sides

Answer 7

You can always find triangles within them

Question 8

Sum of interior angles

Answer 8

(Number of sides - 2) x 180

Question 9

Sum of exterior angles of ANY POLYGON

Answer 9

360 degrees
If the shape was a pentagon
360 divided by 5 (no of sides) = 72

Question 10

Interior angles + exterior angle =..

Answer 10

180

Question 11

Arc length =

Answer 11

Angles divided by 360 x pi x diameter of circle

Question 12

Area of circle

Answer 12

Pi x radius squared

Question 13

Area of a sector=

Answer 13

Angle divided by 360 x pi x radius squared

Always include the correct units

Question 14

Area of a trapezium =

Answer 14

1/2 (a+b) x height
A+b are the values shown on the trapezium
Always use bidmas

Question 15

Area of a triangle

Answer 15

1/2 x a x b x sin(c)
A and B are the two sides
c= the enclosed angle

Question 16

Units whilst finding the area

Answer 16

Cm squared
Mm squared
Whatever unit it is ALWAYS has to be squared

Question 17

How do you find bearings

Answer 17

Join the two areas together 
Draw a north line 
Measure the angle CLOCKWISE from north
Bearings will always have 3 figures 
95 degrees = 095 degrees

Question 18

What are bearings

Answer 18

Bearings are a direction of travel

Question 19

How do you change the subject

Answer 19

If x= 4w+h and you were making W the subject 
X=4w-h 
-h       -h
X-h = 4w
Divide 4    Divide 4 
X-h
Over = W
4
DO BIDMAS BACKWARDS

Question 20

Circle theorems

1-5

Answer 20

1. The angle in a semi circle is 90 degrees
2. The angle at the circumference is half the angle at the centre
3. The angles in the same segment from a common chord are equal
4. The opposite angles in a cyclic quadrilateral always add to 180
5. The angle between the radius and tangent is 90

Question 21

ALTERNATE CIRCLE THEOREMS

Answer 21

1. The angle between the chord and the tangent is equal to opposite angle inside the triangle
2. The tangents to a circle from the same point will be equal
3. The radius through the midpoint of a chord will bisect the chord at 90 degrees

Question 22

Iteration

Answer 22

FORMULA= Xn+1 = 3/5 - Xn^3 /5
Replace (n) with the given x0 to find x1

Xo =0
So x1 = 3/5 -0^3 /5
X1 = 0.6 
So x2 = 3/5 - 0.6^3 /5
X2 =0.5568 
So x3 = 3/5 - 0.5568^3 / 5

Question 23

Circumference =

Answer 23

Pi x diameter

If asked in terms of n = (ans)n

Question 24

Density mass and volume

Answer 24

FORMULA= density = mass divided by volume 
Mass = density x volume
Volume = mass divided by density

Ans will always be (ans)unit/cm cubed

Question 25

Pressure force and area

Answer 25

FORMULA = pressure = force divide by area Force= pressure x area Area = force divided by pressure 1m squared = 10000 cm squared

Question 26

Speed distance time

Answer 26

``` Speed = distance divided by time distance = speed x time Time = distance divided by speed ```

Question 27

Congruent triangles

Answer 27

SSS - side-side-side When a triangle is shown as 3 sides ASA- angle side angle When a triangle has an angle then a side and a angle again SAS - side angle side When an triangle is shown with a side angle then a side RHS - right angle hypotenuse side When a triangle has a right angle then the hypotenuse then the side again