Why isn't the answer to TMUA-P1-MM3-002 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM3-002 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM3-002?

No — calculators are banned in the TMUA. TMUA-P1-MM3-002 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-MM3-002?

TMUA-P1-MM3-002 is Paper P1 · Coordinate geometry in the (x,y)-plane (specification code MM3), level 1. Drill more of the same topic from this page.

TMUA-P1-MM3-002 — Paper P1 · Coordinate geometry in the (x,y)-plane · Level 1

P1MM3Level 1~150s target

Spec: MM3 · No calculator · ~150s

What is the gradient of the straight line passing through

(1, 2)

and

(5, 10)

Options

$1$
$2$
$3$
$4$
$\dfrac{5}{2}$

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: gradient-two-points. Name the trap first, work the stem by hand, then open the solution below.

Show solution

Gradient

= \frac{10 - 2}{5 - 1} = \frac{8}{4} = 2

Keep practising

Same topic · same level
P1MM3Level 1
TMUA-P1-MM3-003
What is the centre of the circle (x - 3)^2 + (y + 2)^2 = 25?
Coordinate geometry in the (x,y)-plane
Open TMUA-P1-MM3-003 →
Step up a level
P1MM3Level 2
TMUA-P1-MM3-001
In an arithmetic sequence the 3rd term is 11 and the 8th term is 31. What is the first term?
Coordinate geometry in the (x,y)-plane
Open TMUA-P1-MM3-001 →
More in this topic
P1MM3Level 1
TMUA-P1-MM3-004
What is the gradient of a line perpendicular to y = 3x - 7?
Coordinate geometry in the (x,y)-plane
Open TMUA-P1-MM3-004 →

Browse more

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Keep practising

Same topic · same level

P1MM3Level 1

TMUA-P1-MM3-003

What is the centre of the circle (x - 3)^2 + (y + 2)^2 = 25?

Coordinate geometry in the (x,y)-plane

Open TMUA-P1-MM3-003 →

Step up a level

P1MM3Level 2

TMUA-P1-MM3-001

In an arithmetic sequence the 3rd term is 11 and the 8th term is 31. What is the first term?

Coordinate geometry in the (x,y)-plane

Open TMUA-P1-MM3-001 →

TMUA-P1-MM3-002 — Paper P1 · Coordinate geometry in the (x,y)-plane · Level 1

Options

Keep practising

Master Coordinate geometry in the (x,y)-plane

TMUA-P1-MM3-002 — Paper P1 · Coordinate geometry in the (x,y)-plane · Level 1

Options

Keep practising

Master Coordinate geometry in the (x,y)-plane