Why isn't the answer to TMUA-P1-MNUM-021 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MNUM-021 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MNUM-021?

No — calculators are banned in the TMUA. TMUA-P1-MNUM-021 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-021?

TMUA-P1-MNUM-021 is Paper P1 · Number (specification code M-Num), level 2. Drill more of the same topic from this page.

TMUA-P1-MNUM-021 — Paper P1 · Number · Level 2

P1M-NumLevel 2~150s target

Spec: M-Num · No calculator · ~150s

What is the largest integer

x

satisfying

3x + 5 < 20

Options

$5$
$6$
$3$
$4$
$15$

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: malg-inequality, endpoint-inclusion. Name the trap first, work the stem by hand, then open the solution below.

Show solution

3x + 5 < 20

gives

3x < 15

, so

x < 5

. The largest integer strictly below

5

4

.
Trap:

5

treats the strict inequality as

\le

— but

x = 5

gives

20

, which is not less than

20

Keep practising

Same topic · same 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 →
Same trap: endpoint-inclusion
P1MM1Level 2
TMUA-P1-MM1-011
How many integers x satisfy (x - 1)(x - 5) < 0?
Algebra and functions
Open TMUA-P1-MM1-011 →
Step up a level
P1M-NumLevel 3
TMUA-P1-MNUM-011
4000 is invested. It grows by 5\% in year one, then falls by 5\% in year two. What is its final value?
Number
Open TMUA-P1-MNUM-011 →

Browse more

Loading…

Keep practising

Same topic · same 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 →

Same trap: endpoint-inclusion

P1MM1Level 2

TMUA-P1-MM1-011

How many integers x satisfy (x - 1)(x - 5) < 0?

Algebra and functions

Open TMUA-P1-MM1-011 →

Step up a level

P1M-NumLevel 3

TMUA-P1-MNUM-011

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

Number

Open TMUA-P1-MNUM-011 →

TMUA-P1-MNUM-021 — Paper P1 · Number · Level 2

Options

Keep practising

Master Number

TMUA-P1-MNUM-021 — Paper P1 · Number · Level 2

Options

Keep practising

Master Number