Question bank

TMUA-P1-MNUM-001

What is the highest common factor (HCF) of $36$ and $54$?

TMUA-P1-MNUM-002

Write $0.00042$ in standard form.

TMUA-P1-MNUM-003

What is $15\%$ of $240$?

TMUA-P1-MNUM-004

Share $\pounds 45$ in the ratio $2:3$. What is the smaller share?

TMUA-P1-MNUM-005

What is the lowest common multiple (LCM) of $12$, $18$ and $20$?

TMUA-P1-MNUM-006

A car travels at $72$ km/h. What is this speed in m/s?

TMUA-P1-MNUM-007

Write $(4 \times 10^5) \times (3 \times 10^{-3})$ in standard form.

TMUA-P1-MNUM-008

After a $20\%$ increase, a jacket costs $\pounds 60$. What was its original price?

TMUA-P1-MNUM-009

Two solid toy bricks are mathematically similar. The smaller has length $5$ cm and mass $300$ g; the larger has length $…

TMUA-P1-MNUM-010

A town has $10000$ residents. The population falls by $5\%$ each year for $2$ years. What is the population afterwards?

TMUA-P1-MNUM-011

$\pounds 4000$ is invested. It grows by $5\%$ in year one, then falls by $5\%$ in year two. What is its final value?

TMUA-P1-MNUM-012

$A:B = 2:3$ and $B:C = 4:5$. A total of $350$ counters is shared in the ratio $A:B:C$. How many does $B$ receive?

TMUA-P1-MNUM-013

What is the remainder when $2^{10}$ is divided by $7$?

TMUA-P1-MNUM-014

Solve $5x - 7 = 18$.

TMUA-P1-MNUM-015

Let $f(x) = 2x^2 - 3x + 1$. What is the value of $f(3)$?

TMUA-P1-MNUM-016

Make $t$ the subject of the formula $v = u + at$.

TMUA-P1-MNUM-017

The simultaneous equations $2x + y = 11$ and $x - y = 1$ hold. What is the value of $y$?

TMUA-P1-MNUM-018

What is the sum of the solutions of $x^2 + 7x + 12 = 0$?

TMUA-P1-MNUM-019

What is the larger solution of $x^2 - 9x + 20 = 0$?

TMUA-P1-MNUM-020

The sequence $4, 7, 10, 13, \ldots$ follows a linear rule. What is the $20$th term?

TMUA-P1-MNUM-021

What is the largest integer $x$ satisfying $3x + 5 < 20$?

TMUA-P1-MNUM-022

What is the larger solution of $2x^2 - 7x + 3 = 0$?

TMUA-P1-MNUM-023

The simultaneous equations $3x + 2y = 20$ and $5x - y = 3$ hold. What is the value of $x + y$?

TMUA-P1-MNUM-024

A price of $\pounds 80$ is increased by $25\%$. What is the new price?