1. What is an integer?
... $-2\mbox{, }-1\mbox{, } 0\mbox{, } 1\mbox{, } 2$ ...
2. What is a rational number?
They can be written
in the form $\displaystyle \frac{m}{n}$
for integers $m$ and $n$.
3. Round off $31\mbox{.}786$ to 2 decimal places.
$31\mbox{.}79$ ($2$ dp)
4. Round off $0\mbox{.}31786$ to 2 significant figures.
$0\mbox{.}32$ ($2$ sf)
5. Reduce the fraction $\displaystyle \frac{24}{32}$ to its simplest from.
$\displaystyle \frac{3}{4}$
6. Evaluate the difference $\displaystyle \frac{2}{4} - \frac{4}{6} \ $, writing your answer as a fraction in its simplest form.
$\displaystyle -\frac{1}{6}$
7. Evaluate the product $\displaystyle \frac{2}{4} \times \frac{4}{6} \ $, writing your answer as a fraction in its simplest form.
$\displaystyle \frac{1}{3}$
8. A cake mix required a mixture of flour to ground almond in the ration $3: 2$.
$300\, g $
How much flour would be needed for $200 \ g$ of almonds?
9. How much flour and ground almond would be needed to produce a combined mixture of $600 \ g $?
$360 \ g$
$240 \ g$
10. A wheelbarrow cost $ \$ 80$ and was resold for $ \$ 100$. What was the percentage profit?
$25\%$
11. Sandshoes were sold for $ \$ 90$. If the markup was $50\%$, what was the original value of the shoes?
$ \$ 60 $