Further Maths GCSE

Question 1

What does the matrix (1 0 ) do?

——————————-(0 1 )

Answer 1

Nothing it is identity

Question 2

What does the matrix (0 1 ) do?

——————————-(1 0 )

Answer 2

Reflect in y = x

Question 3

What does the matrix (1 0 ) do?

——————————-(0 -1 )

Answer 3

Reflection in X axis

Question 4

What does the matrix (0 -1 ) do?

——————————-(1 0)

Answer 4

Rotate 90 degrees anti-clockwise

Question 5

What does the matrix (-1 0) do?

——————————-(0 1)

Answer 5

Reflect in Y axis

Question 6

What does the matrix (0 1) do?

——————————-(-1 0)

Answer 6

Rotate 90 degrees clockwise

Question 7

What does the matrix (-1 0) do?

——————————-(0 -1)

Answer 7

Rotate 180 degrees

Question 8

What does the matrix (0 -1 ) do?

——————————-(-1 0)

Answer 8

Reflects in y = -x

Question 9

What does the matrix (2 0) do?

——————————-(0 2)

Answer 9

Enlargement by 2x

Question 10

What is the equation for a circle?

Answer 10

(X - a)^2 + (Y - b )^2 = r^2

• (a, b) = circle centre
• r = radius

Question 11

What is tan(30)?

Answer 11

tan(30) = 1/√3

Question 12

What is: tan(45)?

Answer 12

tan(45) = 1

Question 13

What is tan(60)?

Answer 13

tan(60) = √3

Question 14

What phrase helps with trig?

Answer 14

SOH-CAH-TOA

• Sine = opp/hyp
• Cosine = adj/hyp
• Tan = opp/adj

Question 15

What is sin(30)?

Answer 15

sin(30) = 1/2

Question 16

What is cos(30)?

Answer 16

cos(30) = √3/2

Question 17

What is sin(45)?

Answer 17

sin(45) = 1/√2

Question 18

What is cos(45)?

Answer 18

cos(45) = 1/√2

Question 19

What is sin(60)?

Answer 19

sin(60) = √3/2

Question 20

What is cos(60)?

Answer 20

cos(60) = 1/2

Question 21

Draw the two trig triangles

Answer 21

1st: One 60 and one 30 angles. Length between is 2
Between the 60 and 90 is 1
Between the 30 and 90 is √3

2nd: Two 45 angles. Length between √2
Other sides are 1