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PSLE 2018 · Paper 2 · Q3 Number & Algebra · Algebra (basic) 2 marks · short answer (table of 3 statements) difficulty 3 of 5

PSLE 2018 Paper 2, Question 3: Algebra (basic)

The answer

Statement 1, Not possible to tell · Statement 2, Not possible to tell · Statement 3, True

PSLE 2018 Paper 2 Question 3 · Verified worked solution by the Genius Plus Academy teaching team

What this question tests

This is Question 3 of the PSLE 2018 Paper 2 Mathematics paper. It tests algebra (basic), in the Number & Algebra strand. It is worth 2 marks. Open your copy of the paper at this question, then follow our full worked solution below.

Step-by-step solution

Statements table with ticks: rows 1 and 2 ticked under "Not possible to tell", row 3 ticked under "True"
Completed table from the GPA worked solution.

With \(m\) unknown: whether Ali's 17 is the most cannot be determined; whether \(2m > 2 + m\) depends on \(m\) (true only when \(m > 2\)). Total \(= 17 + 2m + (m + 2) = 3m + 19\), true for every \(m\).

Answer: Statement 1, Not possible to tell · Statement 2, Not possible to tell · Statement 3, True

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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All PSLE 2018 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 2018 Paper 2 Question 3 test?

It is a algebra (basic) question from the Number & Algebra strand, worth 2 marks.

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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