National 5 Mathematics

National 5 Maths Readiness Check

A short pupil-facing check across key National 5 Mathematics foundations. Use it as a starting-point guide, not a formal assessment judgement.

Readiness snapshot

Check key skills

Answer each question, then check it. When all questions are checked, your readiness result and suggested next practice will appear.

Score: 0/10

Question 1

Simplify √125.

number skills
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Question 2

Write 1 + as a single fraction

algebraic working
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Question 3

State the gradient of y = −4x + 4.

graphs and functions
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Question 4

A parabola crosses the x-axis at x = −4 and x = 2. Which equation has these roots?

quadratics
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Question 5

A right-angled triangle has hypotenuse 15 cm and one shorter side 12 cm. Calculate the length of the other shorter side.

geometry
Maths tools

Question 6

In a right-angled triangle, the side opposite angle x is 9 cm and the adjacent side is 12 cm. Calculate x to 1 decimal place.

trigonometry
Maths tools

Question 7

Find k if k(6, 3) = (-24, −12).

vectors
Maths tools

Question 8

Two data sets have similar means. Data set A has the larger standard deviation. What does this tell you?

statistics
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Question 9

Given cos x = and x is acute, find sin x

trigonometry
Maths tools

Question 10

Use the quadratic formula to solve x² − 10x + 21 = 0.

quadratics
Maths tools