Number Foundations practice questions — GCSE Maths

$0.15\times 80=12$.

$12÷4=3$ and $2\times 3=6$, then $3+6=9$.

The third decimal digit is $8\ge 5$, so round the second decimal up: $3.728\approx 3.73$.

$24=2^3\cdot 3$ and $36=2^2\cdot 3^2$.

Shared primes at their lowest powers: $2^2$ and $3$.

$\text{HCF}=4\cdot 3=12$.

${\displaystyle \frac{3}{4}}\times 100\mathrm{\%}=75\mathrm{\%}$.

$3\times 4=12$, then $2+12=14$.

The first two significant figures are "$28$". The next digit is $5\ge 5$, so round up: $29000$.

$49.2\approx 50$ and $5.1\approx 5$, so the estimate is $50\times 5=250$.

$6=2\cdot 3$ and $8=2^3$.

Highest powers: $2^3$ and $3$.

$\text{LCM}=8\cdot 3=24$.

$51=3\cdot 17$, $57=3\cdot 19$, $63=7\cdot 9$.

$59$ has no factor up to $\sqrt{59}<8$, so $59$ is prime.