Topic checks
End-of-block checks modelled on National 5 question styles.
BGE · S2
S2 Mathematics – Level 4
Accelerating towards National 5 and beyond.
- CfE Fourth Level
- 4 units
- 8 practice questions
- 5 key dates
Overview
About this course
S2 Level 4 is our accelerated BGE course. Pupils meet Fourth Level experiences and outcomes a year early, building a strong algebraic and geometric toolkit. Much of the content overlaps with the early stages of National 5, giving these pupils a head start into the Senior Phase and keeping the Higher pathway firmly open.
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 Algebra & Functions5 topics
- Expanding double brackets
- Factorising – common factor and difference of two squares
- Solving linear equations and inequalities
- Changing the subject of a formula
- Gradient and y = mx + c
2 Number & Proportion5 topics
- Scientific notation
- Indices and index laws
- Compound percentages
- Surds – an introduction
- Reverse percentages
3 Geometry & Trigonometry5 topics
- Pythagoras in 2D and 3D
- Introduction to SOH CAH TOA
- Similar shapes – length, area, volume
- Arcs and sectors
- Volume of cylinders, cones and spheres
4 Statistics5 topics
- Mean, median and quartiles
- Box plots
- Standard deviation – an introduction
- Scatter graphs and line of best fit
- Probability of combined events
Assessment
How the course is assessed
Termly assessments
Three reported assessments with a non-calculator section.
S2 Pathway assessment
Final assessment in May informs the S3 pathway.
Assessment practice
Practise for forthcoming assessments
8 questions worth 15 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
Algebra Assessment
-
Q1
Expand and simplify (x + 4)(x − 7).
2 marksShow solution
Solution
x² − 7x + 4x − 28 = x² − 3x − 28.
-
Q2
Factorise fully 6x² − 24.
2 marksShow solution
Solution
6(x² − 4) = 6(x − 2)(x + 2).
-
Q3
Change the subject of the formula P = 2L + 2B to B.
2 marksShow solution
Solution
P − 2L = 2B, so B = (P − 2L) ⁄ 2.
-
Q4
Find the gradient of the line through (1, 3) and (5, 11).
2 marksShow solution
Solution
m = (11 − 3) ⁄ (5 − 1) = 8 ⁄ 4 = 2.
Set 2 · May
S2 Pathway Assessment
-
Q1
Write 0.000 047 in scientific notation.
1 markShow solution
Solution
4.7 × 10⁻⁵.
-
Q2
A house valued at £180 000 appreciates by 3% per year. Find its value after 2 years.
3 marksShow solution
Solution
180 000 × 1.03² = £190 962.
-
Q3
In a right-angled triangle the angle is 35° and the hypotenuse is 12 cm. Find the opposite side.
2 marksShow solution
Solution
opp = 12 × sin 35° = 6.88 cm (to 2 d.p.).
-
Q4
Simplify √50.
1 markShow solution
Solution
√25 × √2 = 5√2.
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 5, with many beginning National 5 content early in S3.
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 3
CfE Third Level
Deepening understanding and building independence.
S3 → National 4
CfE Third/Fourth Level → SCQF 4
Practical maths with a clear route to qualification.
Have a question about S2 Level 4?
The department is happy to help — we reply within two working days.