Integers, Rational Numbers, 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.

Practise integers, rational numbers, real numbers free

What this topic covers

Worked examples

Example 1

Is 2π2\pi a rational number?
Show the worked solution
  • $\pi = 3.14159\ldots$ never terminates and never repeats, so $2\pi$ cannot be written as a fraction of two integers and is irrational. Every irrational number is real.
  • Therefore, $2\pi$ is <b>irrational</b>.
  • Theansweris<b>No</b>.The answer is <b>No</b>.

Answer: nono

Example 2

Fill in with >> or <<: 14  □  −0.3\frac{1}{4} \;\square\; -0.3
Show the worked solution
  • Convert to decimals: $\frac{1}{4} = 0.25$ and $-0.3 = -0.3$.
  • Since $0.25 > -0.3$,
  • $\frac{1}{4} > -0.3$.

Answer: >>

Example 3

Evaluate (−31)−(−29)(-31) - (-29).
Show the worked solution
  • $(-31) - (-29) = -31 + 29 \quad \scriptsize\textit{subtracting a negative = adding}$
  • $= -2$

Answer: −2-2

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.

Other Secondary 1 topics