Maths

Question 1

What is the formula for the cosine rule?

Answer 1

a² = b² + c² - 2bc x cos(A)

Question 2

What is the formula for the sine rule?

Answer 2

a / sin(A) = b / sin(B) = c / sin(C)

Question 3

How are sides in a non right angled triangle labelled?

Answer 3

With a lower case ‘a’, ‘b’ or ‘c’. They are always opposite to the angle/vertice with the same letter.

Question 4

How are angles in a non right angled triangle labelled?

Answer 4

With a capital ‘A’, ‘B’ or ‘C’, but all with a ‘^’ above them. They are always opposite to the side with the same letter.

(Often written as just ‘A’, ‘B’ and ‘C’ in equations.)

Question 5

How are vertices in a non right angled triangle labelled?

Answer 5

With a capital ‘A’, ‘B’ or ‘C’. They are always opposite to the side with the same letter.

Question 6

What is (a² + b²) factorised?

Answer 6

(a + b) (a - b)

Question 7

What is (a + b) (a - b) expanded?

Answer 7

a² - b²

Question 8

What is the quadratic formula?

Answer 8

x = -b ± √(b² - 4ac) /
2a

Question 9

What is a:

1) Mean
2) Median
3) Mode
4) Range

Answer 9

Mean: Average of all values
Median: Middle number in an ordered list
Mode: Number that appears most
Range: Difference between highest and lowest value.

Question 10

What is the equation for a straight line on a graph?

Answer 10

y = mx + c

Question 11

What does ‘m’ and ‘c’ mean in the following equation?
y = mx + c

Answer 11

m = gradient
c = y-intercept

Question 12

What is the equation for gradient?

Answer 12

Change in y / Change in x

Question 13

sin (30) =

Answer 13

1 / 2

Question 14

cos (30) =

Answer 14

√3 / 2

Question 15

tan (30) =

Answer 15

1 / √3

Question 16

sin (60) =

Answer 16

√3 / 2

Question 17

cos (60) =

Answer 17

1 / 2

Question 18

tan (60) =

Answer 18

√3

Question 19

sin (90) =

Answer 19

1

Question 20

cos (90) =

Answer 20

0

Question 21

What is the equation for proportion?

Answer 21

y = kx

Question 22

What is the equation for inverse proportion?

Answer 22

y = k/x

Question 23

What is the equation for percentage change?

Answer 23

(Change / Original) x 100

Question 24

How can triangles be proved to be congruent?

Answer 24

• SSS (3 equal sides)
• ASA (2 equal angles and 1 equal side)
• SAS (1 equal angle and 2 equal sides)
• RHS (Right angle, equal hypotenuse and 1 other equal side)

Question 25

What is the formula for the area of a triangle?

Answer 25

(base x height) / 2

Question 26

What is the formula for the area of a parallelogram?

Answer 26

base x height

Question 27

What is the formula for the area of a trapezium?

Answer 27

1/2 x (sum of parallel sides) x height

Question 28

What is the formula for the area of a circle?

Answer 28

π r²

Question 29

What is the formula for the circumference of a circle?

Answer 29

2 π r

Question 30

What is the formula for the area of a sector?

Answer 30

(θ / 360) π r²

Question 31

What is the formula for the length of an arc?

Answer 31

(θ / 360) 2 π r

Question 32

What is formula for the surface area of a sphere?

Answer 32

4 π r²

Question 33

What is the formula for the surface area of a cone?

Answer 33

πrl + πr²

Question 34

What is the formula for the surface area of a cylinder?

Answer 34

2πrh + 2πr²

Question 35

What is the formula for the volume of a prism?

Answer 35

(Cross-section area) x (length)

Question 36

What is the formula for the volume of a sphere?

Answer 36

(4/3) πr³

Question 37

What is the formula for the volume of a pyramid?

Answer 37

(1/3) x (base area) x (vertical height)

Question 38

What is the formula for the volume of a cone?

Answer 38

(1/3) πr²h

Question 39

What is the Pythagoras Theorem?

Answer 39

a² + b² = c²

Question 40

What is:
1) an upper quartile
2) a lower quartile

Answer 40

Upper quartile: Median of upper half of a data set.
Lower quartile: Median of lower half of a data set.

Question 41

What is the formula for frequency density?

Answer 41

Frequency density =
Frequency / Class width