Why isn't the answer to TMUA-P1-MNUM-023 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MNUM-023 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MNUM-023?

No — calculators are banned in the TMUA. TMUA-P1-MNUM-023 is set for a no-calculator target of about 210 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MNUM-023?

TMUA-P1-MNUM-023 is Paper P1 · Number (specification code M-Num), level 3. Drill more of the same topic from this page.

TMUA-P1-MNUM-023 — Paper P1 · Number · Level 3

P1M-NumLevel 3~210s target

Spec: M-Num · No calculator · ~210s

The simultaneous equations

3x + 2y = 20

and

5x - y = 3

hold. What is the value of

x + y

Options

$2$
$7$
$9$
$5$
$11$

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

Show solution

From the second equation

y = 5x - 3

. Substitute:

3x + 2(5x - 3) = 20

, so

13x = 26

and

x = 2

. Then

y = 7

, giving

x + y = 9

.
Trap:

7

stops at

y

instead of forming the requested sum.

Keep practising

Same topic · same level
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TMUA-P1-MNUM-011
4000 is invested. It grows by 5\% in year one, then falls by 5\% in year two. What is its final value?
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Same trap: malg-simultaneous
P1M-NumLevel 2
TMUA-P1-MNUM-017
The simultaneous equations 2x + y = 11 and x - y = 1 hold. What is the value of y?
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Open TMUA-P1-MNUM-017 →
More in this topic
P1M-NumLevel 3
TMUA-P1-MNUM-012
A:B = 2:3 and B:C = 4:5. A total of 350 counters is shared in the ratio A:B:C. How many does B receive?
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Open TMUA-P1-MNUM-012 →

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Keep practising

Same topic · same level

P1M-NumLevel 3

TMUA-P1-MNUM-011

4000 is invested. It grows by 5\% in year one, then falls by 5\% in year two. What is its final value?

Number

Open TMUA-P1-MNUM-011 →

Same trap: malg-simultaneous

P1M-NumLevel 2

TMUA-P1-MNUM-017

The simultaneous equations 2x + y = 11 and x - y = 1 hold. What is the value of y?

Number

Open TMUA-P1-MNUM-017 →

TMUA-P1-MNUM-023 — Paper P1 · Number · Level 3

Options

Keep practising

Master Number

TMUA-P1-MNUM-023 — Paper P1 · Number · Level 3

Options

Keep practising

Master Number