Test – C1.5 & C1.6 – Ordering and the Four Operations

IGCSE Mathematics  |  Practice Test  |  25 Questions

Instructions: Answer all 25 questions. Show your working where required. Write your answers in the spaces provided.
Section A — Recall
Questions 1–10   |   Write down or calculate the answer
1.

What does the symbol $\neq$ mean? Give one example using numbers.

2.

Write the correct symbol ($>$ or $<$) between $-3$ and $2$.

$-3$    ___    $2$

3.

Which is larger: $-1$ or $-5$?

4.

What is the result when you multiply a negative number by a negative number? Circle your answer.

Positive      Negative

5.

Calculate $(-5) + 9$.

6.

Calculate $2 – 7$.

7.

Write out what each letter in BIDMAS stands for.

8.

Calculate $5 + 2 \times 4$. Show your working.

9.

Write down the reciprocal of $\dfrac{2}{7}$.

10.

Complete the statement using $\geqslant$ or $\leqslant$.

“$x$ is greater than or equal to 3”   means   $x$   ___   $3$

Section B — Application
Questions 11–20   |   Show all working
11.

Order these numbers from smallest to largest.

$-4$     $1$     $-6$     $0$     $3$

12.

Write the correct symbol from $\{=,\ \neq,\ >,\ <,\ \geqslant,\ \leqslant\}$ between $-0.5$ and $-0.8$.

$-0.5$    ___    $-0.8$

13.

Calculate $(-4) \times (-7)$.

14.

Calculate $(-15) \div 3$.

15.

Calculate $\dfrac{1}{2} + \dfrac{3}{5}$. Give your answer as a mixed number.

16.

Calculate $\dfrac{5}{6} – \dfrac{1}{4}$.

17.

Calculate $\dfrac{3}{5} \times \dfrac{10}{9}$. Give your answer in its simplest form.

18.

Calculate $\dfrac{3}{4} \div \dfrac{9}{16}$. Give your answer as a mixed number.

19.

Calculate $24 \div (2 + 4) + 3 \times 2$. Show all steps.

20.

A diver is at $-15\,\text{m}$ (15 m below sea level). She swims up 6 m. What is her new depth? Write your answer using a negative number.

Section C — Challenge
Questions 21–25   |   Show all working clearly
21.

Order these values from smallest to largest. Show your working.

$-0.6$     $-\dfrac{3}{4}$     $\dfrac{1}{3}$     $-0.5$

22.

Calculate $2\dfrac{2}{3} + 1\dfrac{3}{4}$. Show all steps.

23.

Calculate $2\dfrac{1}{4} \div 1\dfrac{1}{2}$. Show all steps.

24.

Calculate $(-3) \times 4 + 20 \div (-5)$. Show all steps clearly.

25.

Calculate $2 \times 3^2 – (12 \div 4) + (-5)$. Show all steps clearly.

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