Number Operations Practice Questions

Write down the value of $6.3 \times 4.7$

Write down the value of $0.63 \times 470$

Write down the value of $2961 \div 0.47$

Write down the reciprocal of $0.8$

Give your answer as a decimal.

The reciprocal of the number $n$ is $\dfrac{3}{7}$

Write down the value of $n$.

Work out how much change Marcus should get.

You must show all your working.

Work out $\dfrac{(2+3)^2 - 5}{\sqrt{25}}$

Work out $12 - 2 \times (-3)^2$

Write the correct symbol, $<$, $>$ or $=$, in each of the spaces below.

(i) $-7 \times -3 \;\; \dots \;\; 20$

(ii) $(-2)^3 \;\; \dots \;\; -8$

(iii) $-18 \div 3 \;\; \dots \;\; -5$

$n$ is an integer such that $-3 \le n < 2$

Write down all the possible values of $n$.

Here are five numbers.

$$\sqrt{45} \qquad \frac{22}{7} \qquad \sqrt{81} \qquad 2\pi \qquad 0.\dot{6}$$

Write down the two numbers that are irrational.

Work out $46.2 \div 0.14$

You must show all your working.

List all the possible combinations of one shirt and one pair of shorts.

The club can also choose the socks from 4 different colours.

A complete kit is made up of one shirt, one pair of shorts and one pair of socks.

The club says,

“There are more than 20 different complete kits to choose from.”

Is the club correct?

You must show how you get your answer.

Show that there are 15 000 possible codes.

A different locker system uses a code made up of

1 letter chosen from a set of letters, followed by 4 digits, each chosen from 1 to 9

The digits may be repeated.

There are 45 927 possible codes in this system.

Work out how many letters are in the set.