Topic checks
End-of-block checks, each around 25 minutes.
BGE · S2
S2 Mathematics – Level 3
Deepening understanding and building independence.
- CfE Third Level
- 4 units
- 7 practice questions
- 5 key dates
Overview
About this course
S2 Level 3 completes coverage of the Third Level experiences and outcomes and begins to prepare pupils for the demands of S3. There is a strong emphasis on applying skills in unfamiliar contexts, communicating reasoning clearly and developing exam-style habits such as showing working.
Course structure
What your child will learn
The course is organised into 4 units. Topics are usually taught in the order shown, though teachers may adapt the sequence for their class. Select a unit to see its topics.
1 Number & Proportion5 topics
- Ratio and direct proportion
- Percentage increase and decrease
- Speed, distance and time
- Fractions of quantities in context
- Significant figures
2 Algebra5 topics
- Expanding single brackets
- Solving equations with brackets
- Inequalities
- Drawing straight-line graphs
- Formulae in words and symbols
3 Geometry5 topics
- Pythagoras' Theorem
- Circumference and area of circles
- Angles in polygons
- Volume of prisms
- Enlargement and scale factor
4 Data & Chance5 topics
- Stem-and-leaf diagrams
- Comparing data sets
- Experimental vs theoretical probability
- Two-way tables
- Misleading graphs
Assessment
How the course is assessed
Termly assessments
Three reported assessments covering all prior learning.
S2 Pathway assessment
A final assessment in May informs Senior Phase pathway recommendations.
Assessment practice
Practise for forthcoming assessments
7 questions worth 16 marks, matched to the assessments on this course. Try each question on paper first, then select it to reveal the worked solution. You can also print a blank set for revision.
Set 1 · November
Pythagoras & Circles Assessment
-
Q1
A right-angled triangle has shorter sides of 6 cm and 8 cm. Find the hypotenuse.
2 marksShow solution
Solution
6² + 8² = 36 + 64 = 100; √100 = 10 cm.
-
Q2
Find the circumference of a circle with diameter 14 cm (use π = 3.14).
2 marksShow solution
Solution
C = πd = 3.14 × 14 = 43.96 cm.
-
Q3
A ladder 5 m long leans against a wall. Its foot is 1.4 m from the wall. How far up the wall does it reach?
3 marksShow solution
Solution
5² − 1.4² = 25 − 1.96 = 23.04; √23.04 = 4.8 m.
Set 2 · May
S2 Pathway Assessment
-
Q1
Expand and simplify 3(2x + 5) − 4x.
2 marksShow solution
Solution
6x + 15 − 4x = 2x + 15.
-
Q2
Share £420 in the ratio 3 : 4.
2 marksShow solution
Solution
7 shares; £420 ÷ 7 = £60; £180 : £240.
-
Q3
A car travels 150 km in 2 hours 30 minutes. Find its average speed.
2 marksShow solution
Solution
150 ÷ 2.5 = 60 km/h.
-
Q4
Solve 5(x − 2) = 3x + 8.
3 marksShow solution
Solution
5x − 10 = 3x + 8; 2x = 18; x = 9.
Key dates
Important dates for this course
Session 2025–26. Dates marked * are indicative pending the official SQA timetable; items marked TBC will be updated as soon as they are confirmed. Select “+ cal” on any date to add it to your own calendar.
- Prelim
- SQA Exam
- Parents' Evening
- Assessment
- Information
Progression
Where this course leads
Pupils progress to S3 Leading towards National 4 or S3 Leading towards National 5, depending on attainment.
Useful resources
Go further
More in the BGE
Other courses you might be looking for
S1 Level 2
CfE Second Level
Securing the foundations with confidence.
S1 Level 3
CfE Third Level
Taking the first steps into secondary mathematics.
S2 Level 4
CfE Fourth Level
Accelerating towards National 5 and beyond.
S3 → National 4
CfE Third/Fourth Level → SCQF 4
Practical maths with a clear route to qualification.
Have a question about S2 Level 3?
The department is happy to help — we reply within two working days.