Why isn't the answer to TMUA-P1-MNUM-011 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MNUM-011 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MNUM-011?

No — calculators are banned in the TMUA. TMUA-P1-MNUM-011 is set for a no-calculator target of about 240 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MNUM-011?

TMUA-P1-MNUM-011 is Paper P1 · Number (specification code M-Num), level 3. Drill more of the same topic from this page.

TMUA-P1-MNUM-011 — Paper P1 · Number · Level 3

P1M-NumLevel 3~240s target

Spec: M-Num · No calculator · ~240s

\pounds 4000

is invested. It grows by

5\%

in year one, then falls by

5\%

in year two. What is its final value?

Options

$\pounds 4000$
$\pounds 3990$
$\pounds 4010$
$\pounds 3980$
$\pounds 3800$

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: compound-change, symmetric-change-trap. Name the trap first, work the stem by hand, then open the solution below.

Show solution

Track it:

4000 \times 1.05 = 4200

, then

4200 \times 0.95 = 3990

. Trap:

\pounds 4000

assumes

+5\%

then

-5\%

cancel — plausible, but the cut applies to the larger grown amount.

Keep practising

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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?
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P1M-NumLevel 3
TMUA-P1-MNUM-030
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Keep practising

Same topic · same level

P1M-NumLevel 3

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?

Number

Open TMUA-P1-MNUM-012 →

Same trap: compound-change

P1M-NumLevel 3

TMUA-P1-MNUM-030

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

Number

Open TMUA-P1-MNUM-030 →

TMUA-P1-MNUM-011 — Paper P1 · Number · Level 3

Options

Keep practising

Master Number

TMUA-P1-MNUM-011 — Paper P1 · Number · Level 3

Options

Keep practising

Master Number