IB Middle Years Programme (MYP) · Mathematics

Rational Numbers and Operations: Practice Questions

5 multiple-choice questions marked as you go, and 1 written questions with worked solutions. All on Rational Numbers and Operations.

6 questions12 marksFree, no account
Question 1
1 mark

What is the value of the expression \(\frac{3}{5} + \left(-\frac{2}{3}\right) \times \frac{1}{4}\)?

Question 2
1 mark

Simplify the expression: \( \left( -\frac{3}{4} \times \frac{8}{9} \right) - \left( \frac{1}{2} \div \frac{3}{5} \right) \)

Question 3
1 mark

Simplify the following expression:
\(\frac{(-1.2) \times 0.5 - (-0.4)^2}{0.2}\).

Question 4
1 mark

Which of the following rational numbers is the smallest?

Question 5
1 mark

Calculate the value of \(\frac{-2.4 \times 0.5}{(-0.2)^2}\).

Question 6
7 marks

Consider the rational numbers \( A = 0.\overline{42} \) and \( B = 0.5\bar{6} \).
(a) Express \( A \) and \( B \) as fractions in their simplest form.
(b) Evaluate the expression \( E = \left( \frac{A}{B - \frac{1}{2}} \right) \times | -1.25 | \). Express your answer as an improper fraction in its simplest form.
(c) Convert your answer from part (b) into a recurring decimal.

Write your answer out first, then check it against the worked solution.

* The content provided by thinka is generated by AI and may not always be accurate or up-to-date. Please use it as a supplementary resource and verify with official materials.

You've seen the model answer. Now get yours marked.

This page can show you how a good answer looks. It cannot tell you what your answer was missing. thinka marks your written work against the real mark scheme in about 15 seconds.

Want more questions like these? Get a fresh set on this topic, graded as you go.

Practice More