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AQA Level 2 Certificate Further Maths

Topic questions Geometry and measures Area and perimeter

Area and perimeter

8 questions · 34 marks · about 45 minutes

Area and perimeter questions

AQA 8365 Area and perimeter 8 questions

Paper 1: Non-calculator June 2025, Question 18 6 marks

A 60 cm piece of wire is bent to form three sides of a rectangle. It is then attached to a fixed rod as shown in the diagram.

Figure for question 18
(a)

The area of the rectangle is A cm2

Show that A = x (60 – 2 x)

[2]
Reveal mark scheme Mark scheme for question 18(a)
(b)

Work out the maximum value of A as x varies.

[4]
Reveal mark scheme Mark scheme for question 18(b)

Paper 1: Non-calculator June 2025, Question 23 5 marks

The diagram shows a trapezium. All lengths are in centimetres.

Figure for question 23

The area of the trapezium is less than 22cm2

Work out the greatest possible range of values of x. Give your answer in the form m maths symbol x maths symbol n where m and n are both positive numbers.

[5]
Reveal mark scheme Mark scheme for question 23

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 1: Non-calculator June 2024, Question 13 4 marks

A garden patio is made from two rectangles. All lengths are in metres.

Figure for question 13

The area of the patio is less than 51m2

Work out the range of possible values of x. Give your answer in the form a maths symbol x maths symbol b where a and b are both integers. You must show your working.

[4]
Reveal mark scheme Mark scheme for question 13

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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

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my answers are all complex rn

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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.