Question Bank (Step Two)

Step Two: Identify which questions you want

You have selected to search for questions at Higher Maths level, and to search by topic. You also chose to include relevant questions from Old Higher Maths in your search results. If any of this is incorrect, go back to step 1.

Choose the Higher Maths topics for you wish to search for questions (hold down "ctrl" and click to select more than one topic)

Advanced Options

Order results by:

Calculator/Non-Calculator Papers:

Maximum Number of Questions to Return: Only return the first: questions.

Number of Marks: Minimum number of marks: , Maximum number of marks:

Non-routine questions: Removing non-routine questions can be a way of filtering out very hard questions (non-routine questions are classified as 'routine' or 'non-routine' by the judgement of Dynamic Maths and is not guaranteed to be comprehensive and there may be mistakes).

Multiple Choice Questions: (old Higher)

Looking for maths tutoring? Saturday School Scotland offer tutoring for National 5 and Higher Mathematics and use Dynamic Maths revision notes

Cubic/quartic expressions/equations: factorise or solve
Cubic/quartic expressions/equations: when told root or factor, identify coefficients
Identify polynomial equation when shown graph/roots
Points of intersection of polynomial(s) and/or straight line
Quadratic inequations
Discriminant and Quadratics
Miscellaneous - not covered by any other subcategory
Solving a trigonometric equation using formula for sin(2x)
Solving a trigonometric equation using formula for cos(2x)
Trig equation involving compound angle
Miscellaneous - not covered by any other subcategory
Basic trig equation (no formulae required) in radians or degrees
Differentiate or evaluate derivative: polynomial
Differentiate or evaluate derivative: trigonometric expression
Differentiate or evaluate derivative: composite function
Increasing/decreasing: show that, or find values for which
Equation of a tangent to a curve
Find value of x for which a function has given gradient
Find stationary points and determine nature
Sketch a polynomial using calculus
Miscellaneous - not covered by any other subcategory
The graph of the derived function
Integrate (definite or indefinite): polynomial
Integrate (definite or indefinite): trigonometric expression
Integrate (definite or indefinite): (px + q)^n [bracket]
Differential equation
Miscellaneous - not covered by any other subcategory
Simplify numerical expression involving logs/exponentials
Simplify algebraic expression involving logs/exponentials
Solving equations containing a logarithm
Solving equations where the unknown is in the exponent
Graphs of logarithmic or exponential functions
Deriving relationship y = ab^x or y = ax^b from straight line
Miscellaneous - not covered by any other subcategory
Apply compound angle formula to simplify or evaluate
Apply double angle formula to simplify or evaluate
Proving a trigonometric identity
Wave function (y = asin x ± bcosx)
Miscellaneous - not covered by any other subcategory
Domain and range
Completing the square
Composite functions
Inverse functions
Identifying/sketching graphs of related functions (non-trigonometric)
Miscellaneous - not covered by any other subcategory
Identifying/sketching graphs of related functions (trigonometric)
Vector pathways in geometric diagrams
Collinearity (in 3d or 2d)
Ratio in which one point divides two others
Scalar product
Perpendicular vectors and the scalar product
Calculating an angle using the scalar product
Using the distributive law with the scalar product
Miscellaneous - not covered by any other subcategory
Unit Vectors
Perpendicular and parallel lines
Angles and straight lines: m = tanθ
Altitudes, medians, perpendicular bisectors
Intersection of straight lines
Miscellaneous - not covered by any other subcategory
Circle equation from radius/centre or vice versa
Determine if an equation represents a circle
Equation of a tangent to a circle at a point
Intersections of lines and circles (including showing tangency)
Intersections of two circles
Miscellaneous - not covered by any other subcategory
Find a specific term of a recurrence relation
Limits of recurrence relations
Go backwards to find recurrence relation when terms known
Miscellaneous - not covered by any other subcategory
Write a recurrence relation formula from a real-life situation
Areas using integration
Optimisation
Optimisation on a closed interval
Deriving a formula
Displacement, velocity, acceleration
Integrate or differentiate non-standard function using given facts
Miscellaneous - not covered by any other subcategory
Miscellaneous - not covered by any other subcategory
(Old Higher) Questions where pupils explore an intentionally unfamiliar topic
Basic vector paths (now in N5 maths)
Basic 3d coordinates (now in N5 maths)
Basic function notation (now in N5 maths)
Basic Nature of roots of a quadratic (now in N5 maths)
Rational roots (quadratics)
Basic adding and Subtracting vector components (now in N5 maths)
Basic completing the square (now in N5 maths)
Calculate a remainder of a polynomial division
Approximating roots of functions
Basic vector magnitude (now in N5 maths)

Dynamic Maths: SQA Exam Question Bank

Step Two: Identify which questions you want

Advanced Options