Home / CIE iGCSE Maths C4.5 Symmetry- Exam Style Practice Questions- Paper 3

CIE iGCSE Maths C4.5 Symmetry- Exam Style Practice Questions- Paper 3- New Syllabus

Question

(a) Write down the order of rotational symmetry for this shape.

(b) Draw all the lines of symmetry on this shape.

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• C4.5 Symmetry
▶️ Answer/Explanation

(a)
Rotational symmetry is how many times a shape looks identical to its original position during a full 360° turn.
The provided shape matches itself 2 times in one complete rotation.
✅ Answer: 2

(b)
Lines of symmetry divide a shape into two mirror-image halves.
The shape has 2 distinct intersecting lines of symmetry passing through its center.

✅ Answer: Two correct lines drawn

Question

(a) 

A wedding invitation is in the shape of a rectangle. Draw the lines of symmetry on this rectangle.

(b) There are 98 adults and 56 children at the wedding.

Find the fraction of people who are children.
Give your fraction in its simplest form.

(c) The wedding meal starts at 13 15 and lasts for 2 hours 50 minutes.

Find the time the meal ends.

(d) The probability that it will rain at the wedding is 0.12.

Find the probability that it will not rain.

(e) (i) These are the ages of the staff at the wedding.

16   24   39   28   17   48   31   33   17   29   40   25

Complete the stem-and-leaf diagram.

(ii) Find the range.

▶️ Answer/Explanation
Solution

(a) A rectangle has two lines of symmetry – one horizontal and one vertical through the center.

(b) Total people = 98 + 56 = 154.
Fraction of children = 56/154 = 4/11 when simplified.

(c) 13:15 + 2 hours = 15:15, plus 50 minutes = 16:05.

(d) Probability of no rain = 1 – 0.12 = 0.88.

(e)(i) Stem-and-leaf diagram: 

(e)(ii) Range = 48 (highest) – 16 (lowest) = 32.

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