Why isn't the answer to TMUA-P1-MM1-011 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM1-011 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM1-011?

No — calculators are banned in the TMUA. TMUA-P1-MM1-011 is set for a no-calculator target of about 180 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MM1-011?

TMUA-P1-MM1-011 is Paper P1 · Algebra and functions (specification code MM1), level 2. Drill more of the same topic from this page.

TMUA-P1-MM1-011 — Paper P1 · Algebra and functions · Level 2

P1MM1Level 2~180s target

Spec: MM1 · No calculator · ~180s

How many integers

x

satisfy

(x - 1)(x - 5) < 0

Options

$2$
$3$
$4$
$5$
infinitely many

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

Show solution

The product is negative strictly between the roots:

1 < x < 5

. The integers are

2, 3, 4

— three values. Trap:

5

counts the endpoints

1

and

5

, but the inequality is strict so they give zero, not a negative value.

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Step up a level
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Browse more

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Keep practising

Same topic · same level

P1MM1Level 2

TMUA-P1-MM1-001

The equation x^2 + kx + 9 = 0 has two equal real roots. What is the sum of all possible values of k?

Algebra and functions

Open TMUA-P1-MM1-001 →

Same trap: endpoint-inclusion

P1MM1Level 2

TMUA-P1-MM1-015

What is the smallest integer x satisfying -2x + 7 < 13?

Algebra and functions

Open TMUA-P1-MM1-015 →

Step up a level

P1MM1Level 3

TMUA-P1-MM1-016

The polynomial P(x) = x^3 + px^2 + qx - 12 is divisible by both (x - 1) and (x + 3). What is the value of p?

Algebra and functions

Open TMUA-P1-MM1-016 →

TMUA-P1-MM1-011 — Paper P1 · Algebra and functions · Level 2

Options

Keep practising

Master Algebra and functions

TMUA-P1-MM1-011 — Paper P1 · Algebra and functions · Level 2

Options

Keep practising

Master Algebra and functions