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Integers, Rational Numbers and Real Numbers

Secondary 1 practice

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Integers, Rational Numbers and Real Numbers practice questions

Secondary 1 topics, the foundation the O-Level Mathematics 4052 syllabus builds on. Every question below has a full worked solution.

When a student gets a question wrong in Math Amigo, it does not show the answer straight away. It reads the working, identifies the step that went wrong, and asks a question that points at the correction. The worked solution is there once a genuine attempt has been made.

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Read the Integers, Rational Numbers and Real Numbers study notes: the method, worked examples and the mistakes that cost marks. Free, no account.

What this topic covers

Worked examples

Example 1

Is 64\sqrt{64} an irrational number?
Show the worked solution
  • 64=8\sqrt{64} = 8, which is an integer, so the square root sign is misleading here. Every integer is rational and every rational number is real.
  • Therefore, 64\sqrt{64} is rational.
  • The answer is No.

Answer: no

Example 2

Fill in with >> or <<: $−910  <  −12-\frac{9}{10} \;\boxed{\phantom{<}}\; -\frac{1}{2}$
Show the worked solution
  • Convert to decimals: −910=−0.9-\frac{9}{10} = -0.9 and −12=−0.5-\frac{1}{2} = -0.5.
  • Both are negative, and −910-\frac{9}{10} has the bigger size, so it lies further left than −12-\frac{1}{2}.
  • Therefore, −910<−12-\frac{9}{10} < -\frac{1}{2}.

Answer: <<

Example 3

Evaluate 19+(−27)19 + (-27).
Show the worked solution
  • 19+(−27)=19−2719 + (-27) = 19 - 27
  • =−8= -8

Answer: −8-8

Questions parents ask

Is it really free?

The free plan is permanent and does not ask for a card. It has daily limits on the AI feedback, and the paid plans lift them.

Which syllabus does this follow?

O-Level Mathematics (4052), for Singapore secondary students. Math Amigo covers Secondary 1 to 4, both O-Level Mathematics and Additional Mathematics.

Will it just show my child the answer?

No. On a wrong answer it looks at the working, points to the step that went wrong, and asks a question that helps the student find the correction. The full worked solution is available after a genuine attempt.

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