Let a = (3, 1) and b = (1, 4). What is a + b?

Worked solution for TMUA-P1-MGEO-014 is revealed on this page behind the solution details.

Why isn't the answer to TMUA-P1-MGEO-014 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MGEO-014 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MGEO-014?

No — calculators are banned in the TMUA. TMUA-P1-MGEO-014 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-MGEO-014?

TMUA-P1-MGEO-014 is Paper P1 · Geometry (specification code M-Geo), level 2. Drill more of the same topic from this page.

TMUA-P1-MGEO-014 — Paper P1 · Geometry · Level 2

P1M-GeoLevel 2~150s target

Spec: M-Geo · No calculator · ~150s

Let

\mathbf{a} = (3, 1)

and

\mathbf{b} = (1, 4)

. What is

\mathbf{a} + \mathbf{b}

Options

$(2, -3)$
$(4, 5)$
$(3, 4)$
$(5, 4)$
$(4, 1)$

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: mgeo-vectors, vector-addition. Name the trap first, work the stem by hand, then open the solution below.

Show solution

Add component-wise:

\mathbf{a} + \mathbf{b} = (3 + 1, 1 + 4) = (4, 5)

.
Trap:

(2, -3)

subtracts the components instead of adding them.

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Keep practising

Same topic · same level

P1M-GeoLevel 2

TMUA-P1-MGEO-004

A cuboid measures 3 cm by 4 cm by 12 cm. What is the length of its space diagonal?

Geometry

Open TMUA-P1-MGEO-004 →

Same trap: mgeo-vectors

P1M-GeoLevel 3

TMUA-P1-MGEO-015

Let a = (2, 5) and b = (-1, 3). What is |2a - b|?

Geometry

Open TMUA-P1-MGEO-015 →

Step up a level

P1M-GeoLevel 3

TMUA-P1-MGEO-009

A right circular cone has base radius 5 cm and slant height 13 cm. What is its volume in cm ^3?

Geometry

Open TMUA-P1-MGEO-009 →

TMUA-P1-MGEO-014 — Paper P1 · Geometry · Level 2

Options

Keep practising

Master Geometry

TMUA-P1-MGEO-014 — Paper P1 · Geometry · Level 2

Options

Keep practising

Master Geometry