National 5 Applications of Maths

National 5 Applications of Maths practice questions by section

Original questions for every section, Paper 1 and Paper 2 style, with worked answers, and paper-style questions where each answer you type is checked.

Quick checksMultiple choice, worked or timed
Paper-style questionsPaper 1 (no calculator) and Paper 2 (calculator)
AnswersChecked in any equivalent form, then the full working

Try 4 questions

Question 1Paper 1 style · no calculator
Concrete is mixed from cement, sand and gravel in the ratio 1:2:41 : 2 : 4. How much sand is in 3535 kg of the mix?
Question 2Paper 2 style · calculator
A frequency table. Goals 0: 3 matches. Goals 1: 8 matches. Goals 2: 6 matches. Goals 3: 5 matches. Goals 4: 2 matches.
Goals scoredNumber of matches
03
18
26
35
42
The table shows the number of goals a hockey team scored in each of its matches last season. Calculate the mean number of goals per match, to 1 decimal place.
Question 3Paper 1 style · no calculator
A rectangular field is 8080 m long and 6060 m wide. Jamie walks from one corner to the opposite corner straight across the field instead of along two edges. How much shorter is his route?
Question 4Paper 2 style · calculator
In a raffle, 240240 tickets are sold and one is drawn for first prize. Lena buys 1515 tickets. What is the probability that she wins first prize, as a percentage?

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Are these past exam questions?

No. Every question is written for this course, with its own context and data.