Question bank

TMUA-P1-MNUM-025

Write the ratio $15:25$ in its simplest form.

TMUA-P1-MNUM-026

A price of $\pounds 320$ is decreased by $25\%$. What is the new price?

TMUA-P1-MNUM-027

After a $25\%$ decrease, a coat costs $\pounds 45$. What was its original price?

TMUA-P1-MNUM-028

$A:B = 3:4$ and $B:C = 3:5$. A total of $205$ counters is shared in the ratio $A:B:C$. How many does $B$ receive?

TMUA-P1-MNUM-029

A shop reduces prices by $10\%$, then by a further $20\%$ in a sale. What single percentage reduction is this equivalent…

TMUA-P1-MNUM-030

After a $20\%$ increase followed by a $10\%$ decrease, a price is $\pounds 108$. What was the original price?

TMUA-P1-MNUM-031

Two numbers are in the ratio $5:7$. Adding $6$ to each gives numbers in the ratio $3:4$. What is the smaller of the orig…

TMUA-P1-MNUM-032

Convert $2.5$ km to metres.

TMUA-P1-MNUM-033

Convert $2.5$ hours to minutes.

TMUA-P1-MNUM-034

A cyclist travels $30$ km in $45$ minutes. What is the average speed in km/h?

TMUA-P1-MNUM-035

Convert $15$ m/s to km/h.

TMUA-P1-MNUM-036

A block of mass $540$ g has volume $200$ cm$^3$. What is its density in g/cm$^3$?

TMUA-P1-MNUM-037

Convert $3$ m$^2$ to cm$^2$.

TMUA-P1-MNUM-038

Water flows at $2$ litres per second into a tank measuring $2$ m by $1$ m by $0.5$ m. How long does it take to fill the…

TMUA-P1-MNUM-039

What is the highest common factor (HCF) of $24$ and $40$?

TMUA-P1-MNUM-040

Write $0.000073$ in standard form.

TMUA-P1-MNUM-041

What is the lowest common multiple (LCM) of $8$, $12$ and $15$?

TMUA-P1-MNUM-042

Write $\dfrac{6 \times 10^4}{2 \times 10^{-2}}$ in standard form.

TMUA-P1-MNUM-043

What is the remainder when $3^{20}$ is divided by $7$?

TMUA-P1-MNUM-044

What is the units digit of $7^{25}$?

TMUA-P1-MNUM-045

What is the remainder when $5^{50}$ is divided by $6$?