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PSLE 2014 · Paper 1 · Q20 Measurement & Geometry · Symmetry 1 mark difficulty 2 of 5

PSLE 2014 Paper 1, Question 20: Symmetry

The answer

see figure, shade the two triangles that mirror the existing shaded ones across XY

PSLE 2014 Paper 1 Question 20 · Verified worked solution by the Genius Plus Academy teaching team

What this question tests

This is Question 20 of the PSLE 2014 Paper 1 Mathematics paper. It tests symmetry, in the Measurement & Geometry strand. It is worth 1 mark. Open your copy of the paper at this question, then follow our full worked solution below.

Step-by-step solution

Completed symmetry figure with the two additional triangles shaded below XY
GPA solution: the two extra triangles (striped) are the mirror images, across line \(XY\), of the two shaded triangles that currently have no partner.

Each shaded triangle above \(XY\) must have a mirror image below \(XY\) (and vice versa); shade the two missing mirror triangles.

Answer: see figure, shade the two triangles that mirror the existing shaded ones across XY

Same structure, different costume

A question is hard because of its structure, not its story.

Change egg tarts to badges, a tank to two tanks, a ring of card to a folded sheet, and a child sees a brand new problem. The lock underneath is the same, and so is the key. Once a student can name the structure, a whole row of questions that look different start to open the same way.

It is also where marks really leak. Across fourteen years of papers, the marks lost in PSLE math leak at the reading far more than at the arithmetic, which is exactly why recognising the structure fixes them. We call this Lock and Key: name the lock, then the key follows.

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More symmetry questions, worked the same way

Same skill, different years. Each has a verified worked solution.

2024 · P1 Q5

Symmetry, worked the same way.

2021 · P1 Q19

Symmetry, worked the same way.

2020 · P1 Q7

Symmetry, worked the same way.

2019 · P1 Q9

Symmetry, worked the same way.

2018 · P1 Q6

Symmetry, worked the same way.

2016 · P1 Q23

Symmetry, worked the same way.

All PSLE 2014 worked solutions →

One of the 10 question types

Read a question, know the method.

The PSLE keeps testing the same 10 structures. Our PSLE Math Intensive trains the Lock and Key reflex across all ten, with 158 curated questions over two days.

Questions students ask

What does PSLE 2014 Paper 1 Question 20 test?

It is a symmetry question from the Measurement & Geometry strand, worth 1 mark.

Is there a video solution?

Not yet for this question. The full written solution is above, and we are filming Paper 2 walkthroughs steadily.

Are these worked solutions free?

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Where can I find more PSLE worked solutions?

Browse every year from 2014 to 2025 in our worked-solutions library at /resources/solutions/psle/.

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