Why isn't the answer to TMUA-P1-MM3-008 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM3-008 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM3-008?

No — calculators are banned in the TMUA. TMUA-P1-MM3-008 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-MM3-008?

TMUA-P1-MM3-008 is Paper P1 · Coordinate geometry in the (x,y)-plane (specification code MM3), level 2. Drill more of the same topic from this page.

TMUA-P1-MM3-008 — Paper P1 · Coordinate geometry in the (x,y)-plane · Level 2

P1MM3Level 2~180s target

Spec: MM3 · No calculator · ~180s

O

is the centre of a circle and

A, B

lie on the circle with angle

AOB = 100^\circ

. What is angle

OAB

Options

$40$
$50$
$80$
$100$
$140$

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: radii-isosceles, halving-trap. Name the trap first, work the stem by hand, then open the solution below.

Show solution

OA

and

OB

are both radii, so triangle

OAB

is isosceles with vertex

100^\circ

. Each base angle is

(180 - 100)/2 = 40

. Trap:

50^\circ

just halves

100^\circ

— plausible if you forget to subtract from

180^\circ

first.

Keep practising

Same topic · same 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 →
Same trap: halving-trap
P1M-StatLevel 2
TMUA-P1-MSTAT-011
A bag holds 3 red and 3 blue counters. Two are drawn at random without replacement. What is the probability of getting o…
Statistics and probability
Open TMUA-P1-MSTAT-011 →
Step up a level
P1MM3Level 3
TMUA-P1-MM3-010
The line y = x + 1 crosses the circle x^2 + y^2 = 25 at two points. What is the length of the chord joining them?
Coordinate geometry in the (x,y)-plane
Open TMUA-P1-MM3-010 →

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Keep practising

Same topic · same 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 →

Same trap: halving-trap

P1M-StatLevel 2

TMUA-P1-MSTAT-011

A bag holds 3 red and 3 blue counters. Two are drawn at random without replacement. What is the probability of getting o…

Statistics and probability

Open TMUA-P1-MSTAT-011 →

Step up a level

P1MM3Level 3

TMUA-P1-MM3-010

The line y = x + 1 crosses the circle x^2 + y^2 = 25 at two points. What is the length of the chord joining them?

Coordinate geometry in the (x,y)-plane

Open TMUA-P1-MM3-010 →

TMUA-P1-MM3-008 — Paper P1 · Coordinate geometry in the (x,y)-plane · Level 2

Options

Keep practising

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

TMUA-P1-MM3-008 — Paper P1 · Coordinate geometry in the (x,y)-plane · Level 2

Options

Keep practising

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