BREAKING
Imaginary number feels seen, refuses to be real★Matrices multiplied in wrong order, student loses faith★Proof by induction ends, nobody knows why it worked★
  1. Home
  2. Level 2 Certificate
  3. Further Maths - AQA
  4. Ratio

AQA Level 2 Certificate Further Maths

Topic questions Ratio, proportion and rates of change Ratio

Ratio

6 questions · 24 marks · about 30 minutes

Ratio questions

TopicRatio

AQA 8365 Ratio 6 questions

Paper 1: Non-calculator June 2025, Question 4 4 marks

AC is a straight line. A is the point (– 3, 2) B is the midpoint of the line AC. B is the point (12, 10)

(a)

Work out the coordinates of C.

Question 4, shown as an image
[2]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Work out the distance AB.

[2]
Reveal mark scheme Mark scheme for question 4(b)

Paper 2: Calculator June 2025, Question 2 4 marks

C and E are points on the circle with equation x2 + y2 = 144 CD is a straight line. O D: DE = 5: 1

Figure for question 2

Work out the shaded area. Give your answer as a decimal.

Question 2, shown as an image
[4]
Reveal mark scheme Mark scheme for question 2

Paper 2: Calculator June 2025, Question 6 3 marks

C is a point on the straight line AB.

Figure for question 6

AC: CB = 3: 2

Work out the equation of the straight line passing through O and C.

[3]
Reveal mark scheme Mark scheme for question 6

Paper 1: Non-calculator June 2024, Question 16 4 marks

A, B, C and D are points on a circle, centre O. angle OBC: angle ODC = 5: 3

Figure for question 16

Work out the size of angle OBC. You must show your working.

[4]
Reveal mark scheme Mark scheme for question 16

Paper 2: Calculator November 2021, Question 12 5 marks

A and B are points on the line y = 3 x + 2 B, C and D (5, 0) are points on the line L. O A: AC = 1: 4

Figure for question 12

Work out the x-coordinate of B.

[5]
Reveal mark scheme Mark scheme for question 12

Report a problem with a question on this page
What is wrong?

Goes to whoever maintains the question split. No account needed and nothing is published on this page.

Memes

Certified Further Maths memes. Peer-reviewed by nobody.

Laugh now. Cry in the exam hall later. Then come back and do a past paper.

Prove it by induction
Write ‘clearly’ and move on
Me on the final ‘show that’
Using the formula booklet
Proving it by induction
Writing ‘by symmetry’ to skip half the work
Writing ‘trivially’ and daring the examiner
Further enlightenment, ranked

Mum 💖

how's further maths going?? 🥰

my answers are all complex rn

keep it simple love 💖

📱 Screen time this week · Spotify4h 59m

The answer was i. Nobody knows why

Further Maths starter pack

Calculator that does matricesProof that’s 3 pages longArgand diagram doodlesThis website
Collect all four. Prove it.