Why isn't the answer to TMUA-P1-MNUM-015 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MNUM-015 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MNUM-015?

No — calculators are banned in the TMUA. TMUA-P1-MNUM-015 is set for a no-calculator target of about 120 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MNUM-015?

TMUA-P1-MNUM-015 is Paper P1 · Number (specification code M-Num), level 1. Drill more of the same topic from this page.

TMUA-P1-MNUM-015 — Paper P1 · Number · Level 1

P1M-NumLevel 1~120s target

Spec: M-Num · No calculator · ~120s

Let

f(x) = 2x^2 - 3x + 1

. What is the value of

f(3)

Options

$28$
$4$
$7$
$16$
$10$

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-substitution, function-substitution. Name the trap first, work the stem by hand, then open the solution below.

Show solution

Substitute

x = 3

2(3^2) - 3(3) + 1 = 18 - 9 + 1 = 10

.
Trap:

28

flips the sign of the middle term (

18 + 9 + 1

Keep practising

Same topic · same level
P1M-NumLevel 1
TMUA-P1-MNUM-001
What is the highest common factor (HCF) of 36 and 54?
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Open TMUA-P1-MNUM-001 →
Same trap: function-substitution
P1MM1Level 1
TMUA-P1-MM1-006
Let f(x) = 3x - 7. What is the value of f(5)?
Algebra and functions
Open TMUA-P1-MM1-006 →
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 →

Browse more

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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: function-substitution

P1MM1Level 1

TMUA-P1-MM1-006

Let f(x) = 3x - 7. What is the value of f(5)?

Algebra and functions

Open TMUA-P1-MM1-006 →

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-015 — Paper P1 · Number · Level 1

Options

Keep practising

Master Number

TMUA-P1-MNUM-015 — Paper P1 · Number · Level 1

Options

Keep practising

Master Number