IGCSEMathsCambridge (CIE)ExtendedExam QuestionsLengths, Areas & VolumesArea & Perimeter

Area & Perimeter (Cambridge (CIE) IGCSE Maths: Extended)

Exam Questions

1 hour25 questions

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Area & Perimeter

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Area & Perimeter

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1
Sme Calculator2 marks

Rectangle A measures 3 cm by 8 cm.

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Five rectangles congruent to A are joined to make a shape.

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Work out the perimeter of this shape.

........................................... cm

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2
Sme Calculator3 marks
cie-igcse-2018-march-p2-16

Find the area of triangle ABC.

............................................. m2

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3
Sme Calculator4 marks

The diagram shows the plan of a small field.

q1-4-5-easy-edexcel-gcse-maths

Kevin is going to keep some pigs in the field.
Each pig needs an area of 36 square metres.

Work out the greatest number of pigs Kevin can keep in the field.

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4
Sme Calculator4 marks

The diagram shows a path around a pond.

q6-4-5-easy-edexcel-gcse-maths

The pond is in the shape of a rectangle with length 7m and width 4m.
The path is 3m wide.

Ali is going to cover the path with gravel. One bag of gravel will cover 10 m2 of the path.

How many bags of gravel does Ali need to buy?
You must show your working.

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1
Sme Calculator2 marks
cie-igcse-2020-oct-nov-p2-tz2-q7

The area of triangle A B C is 27 space cm squared and A B space equals space 6 cm.
Calculate the value of h.

h space equals space................................................

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2
Sme Calculator1 mark

An equilateral triangle has sides of length 15 cm, correct to the nearest centimetre.

Calculate the upper bound of the perimeter of this triangle.  

....................................... cm

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3
Sme Calculator2 marks

An equilateral triangle has side length 12 cm, correct to the nearest centimetre.

Find the lower bound and the upper bound of the perimeter of the triangle.  

Lower bound = ......................................... cm 
Upper bound = ......................................... cm     

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4
Sme Calculator2 marks

The length of the side of a square is 12 cm, correct to the nearest centimetre.

Calculate the upper bound for the perimeter of the square.

........................................... cm

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1
Sme Calculator2 marks
cie-igcse-2018-march-p4-q2

The vertices of a square ABCD lie on the circumference of a circle, radius 8 cm.  

Calculate the area of the square.  

 ......................................... cm2

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2
Sme Calculator4 marks
q1-4-5-very-hard-edexcel-gcse-maths

A B C D is a square with a side length of 
M is the midpoint of D C.
N is the point on A D where N D space equals space x

B M N is a right-angled triangle.

Find an expression, in terms of x, for the area of triangle B M N.
Give your expression in its simplest form.

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3
Sme Calculator7 marks

ABCD is a trapezium.

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The perimeter of the trapezium is 56 cm. The ratio AD : AB : DC : BC = 5 : 12 : 6 : 5.

Calculate the area of the trapezium.
Show your working.

..................................cm2 

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4
Sme Calculator6 marks

Here is the floor plan of a rectangular room.

q7-paper5-june2018-ocr-gcse-maths

Tim buys carpet tiles for this room.

Each tile is a square measuring 50cm by 50cm.
The tiles are only sold in packs of ten.
Each pack costs £20.
Tim pays for fitting at a rate of £7.50 per square metre, with any fraction of a square metre rounded up.

Work out the total cost of the tiles and fitting.

£ .......................... 

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5
Sme Calculator3 marks

The lengths of the sides of two squares are integers, when measured in cm.
The difference between the areas of the two squares is 36cm2.

Find the lengths of the sides of the two squares.

.............................. cm

.............................. cm

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