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

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

Exam Questions

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Area & Perimeter

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Area & Perimeter

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1
Sme Calculator2 marks
cie-igcse-2020-mary-jun-p2-tz2-q6

Calculate the area of the trapezium.  

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

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2
Sme Calculator2 marks
cie-igcse-2020-march-p2-tz2-q7a

The diagram shows a right-angled triangle.

Calculate the area.

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

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3
Sme Calculator2 marks
cie-igcse-2019-may-jun-p2-tz2-q7

Calculate the area of this triangle.   

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

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4
Sme Calculator1 mark

Tom is tiling a floor.

The floor is a rectangle with length 600 cm and width 240 cm
Each tile is a square with side 40 cm

Tom uses this method to work out the number of tiles he needs.

Number of tiles that will fit along the length = 600 ÷ 40
                                                                              = 15
Number of tiles that will fit along the width = 240 ÷ 40
                                                                             = 6
Total number of tiles needed = 15 + 6
                                                   = 21


Give a reason why Tom’s method is wrong.

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1
Sme Calculator3 marks

A rectangle measures 8.5 cm by 10.7 cm, both correct to 1 decimal place.

Calculate the upper bound of the perimeter of the rectangle.

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

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2
Sme Calculator3 marks
cie-igcse-2020-march-p2-tz2-q7a

The diagram shows a right-angled triangle.

Calculate the perimeter.

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

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3
Sme Calculator2 marks

The sides of a square are 15.1 cm, correct to 1 decimal place.

Find the upper bound of the area of the square.

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

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4
Sme Calculator2 marks

The area of a square is 42.5 cm2, correct to the nearest 0.5 cm2.  

Calculate the lower bound of the length of the side of the square.  

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

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1
Sme Calculator5 marks
cie-igcse-2020-oct-nov-p4-tz1-q4b

ABDF is a parallelogram and BCDE  is a straight line. AF = 12cm, AB = 9 cm, angle CFD = 40° and angle FDE = 80°.

i) Calculate the height, h, of the parallelogram.

h space equals ........................................... cm [2]

ii) Calculate the area of the trapezium ABCF.

 .......................................... cm2 [3]

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2
Sme Calculator3 marks

The sides of an isosceles triangle are measured correct to the nearest millimetre.
One side has a length of 8.2 cm and another has a length of 9.4 cm.

Find the largest possible value of the perimeter of this triangle.

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

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3
Sme Calculator3 marks

Find the area of a regular hexagon with side length 7.4 cm.

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

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4
Sme Calculator4 marks
q20-4ma1-2h-qp-jan21-paper2-igcse-maths

The diagram shows a shaded region bold T formed by removing an equilateral trianglespace P Q R spacefrom a regular hexagon A B C D E F.

The points P and Q lie on A B such that A B space equals space 1.5 cross times P Q.

Given that the area of region bold T is 72 square root of 3 space cm squared work out the length of P Q.

......................................................space cm space

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