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

Worked solution for TMUA-P1-MNUM-004 is revealed on this page behind the solution details.

Why isn't the answer to TMUA-P1-MNUM-004 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MNUM-004 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MNUM-004?

No — calculators are banned in the TMUA. TMUA-P1-MNUM-004 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-004?

TMUA-P1-MNUM-004 is Paper P1 · Number (specification code M-Num), level 1. Drill more of the same topic from this page.

TMUA-P1-MNUM-004 — Paper P1 · Number · Level 1

P1M-NumLevel 1~150s target

Spec: M-Num · No calculator · ~150s

\pounds 45

in the ratio

2:3

. What is the smaller share?

Options

$15$
$22.5$
$27$
$18$
$30$

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: ratio-division. Name the trap first, work the stem by hand, then open the solution below.

Show solution

There are

2 + 3 = 5

parts, each worth

45 / 5 = 9

. The smaller share is

2 \times 9 = 18

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Keep practising

Same topic · same level

P1M-NumLevel 1

TMUA-P1-MNUM-001

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

Number

Open TMUA-P1-MNUM-001 →

Same trap: ratio-division

P1M-NumLevel 1

TMUA-P1-MNUM-025

Write the ratio 15:25 in its simplest form.

Number

Open TMUA-P1-MNUM-025 →

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-004 — Paper P1 · Number · Level 1

Options

Keep practising

Master Number

TMUA-P1-MNUM-004 — Paper P1 · Number · Level 1

Options

Keep practising

Master Number