Why isn't the answer to TMUA-P1-MNUM-001 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MNUM-001 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MNUM-001?

No — calculators are banned in the TMUA. TMUA-P1-MNUM-001 is set for a no-calculator target of about 150 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MNUM-001?

TMUA-P1-MNUM-001 is Paper P1 · Number (specification code M-Num), level 1. Drill more of the same topic from this page.

TMUA-P1-MNUM-001 — Paper P1 · Number · Level 1

P1M-NumLevel 1~150s target

Spec: M-Num · No calculator · ~150s

What is the highest common factor (HCF) of

36

and

54

Options

$18$
$9$
$12$
$27$
$108$

Letters only — the answer key is hidden. Work it out, then check the solution below.

Hint (check trope)

No written hint yet — check the trope: hcf. Name the trap first, work the stem by hand, then open the solution below.

Show solution

Prime factors:

36 = 2^2 \cdot 3^2

and

54 = 2 \cdot 3^3

. Take the lowest shared powers:

2 \cdot 3^2 = 18

Keep practising

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Step up a level
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Browse more

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Keep practising

Same topic · same level

P1M-NumLevel 1

TMUA-P1-MNUM-002

Write 0.00042 in standard form.

Number

Open TMUA-P1-MNUM-002 →

Same trap: hcf

P1M-NumLevel 1

TMUA-P1-MNUM-039

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

Number

Open TMUA-P1-MNUM-039 →

Step up a level

P1M-NumLevel 2

TMUA-P1-MNUM-005

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

Number

Open TMUA-P1-MNUM-005 →

TMUA-P1-MNUM-001 — Paper P1 · Number · Level 1

Options

Keep practising

Master Number

TMUA-P1-MNUM-001 — Paper P1 · Number · Level 1

Options

Keep practising

Master Number