Why isn't the answer to TMUA-P1-MM5-001 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM5-001 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM5-001?

No — calculators are banned in the TMUA. TMUA-P1-MM5-001 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-MM5-001?

TMUA-P1-MM5-001 is Paper P1 · Exponentials and logarithms (specification code MM5), level 1. Drill more of the same topic from this page.

TMUA-P1-MM5-001 — Paper P1 · Exponentials and logarithms · Level 1

P1MM5Level 1~120s target

Spec: MM5 · No calculator · ~120s

The curve

y = 3^x

crosses the

y

-axis at

(0, k)

. What is the value of

k

Options

$0$
$3$
$1$
$3^x$ always exceeds $1$
$-1$

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

Show solution

Any positive base to the power

0

1

, so the curve

y = 3^x

passes through

(0, 1)

Keep practising

Same topic · same level
P1MM5Level 1
TMUA-P1-MM5-002
Evaluate _3 81.
Exponentials and logarithms
Open TMUA-P1-MM5-002 →
Step up a level
P1MM5Level 2
TMUA-P1-MM5-004
Solve 5^2x = 125.
Exponentials and logarithms
Open TMUA-P1-MM5-004 →
More in this topic
P1MM5Level 1
TMUA-P1-MM5-003
Evaluate _10 4 + _10 25.
Exponentials and logarithms
Open TMUA-P1-MM5-003 →

Browse more

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Keep practising

Same topic · same level

P1MM5Level 1

TMUA-P1-MM5-002

Evaluate _3 81.

Exponentials and logarithms

Open TMUA-P1-MM5-002 →

Step up a level

P1MM5Level 2

TMUA-P1-MM5-004

Solve 5^2x = 125.

Exponentials and logarithms

Open TMUA-P1-MM5-004 →

TMUA-P1-MM5-001 — Paper P1 · Exponentials and logarithms · Level 1

Options

Keep practising

Master Exponentials and logarithms

TMUA-P1-MM5-001 — Paper P1 · Exponentials and logarithms · Level 1

Options

Keep practising

Master Exponentials and logarithms