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Higher Maths SQA questions by topic

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Topic 1 - The Straight Line

1.3 - Calculating the gradient when given the angle

1.6 - Parallel and perpendicular gradients

1.7 - Collinearity

2015 Paper 1 Question 9

1.8 - Lines associated with triangles

1.9 - Points of intersection 1

The Straight Line - Multiple Choice Questions

Topic 2 - Recurrence Relations

2.1 - Calculating missing terms

2.2 - Finding the limit

2.3 - Finding the values of a and b

2.4 - Recurrence relations in context

Recurrence Relations - Multiple Choice Questions

Topic 3 - Functions

3.1 - Domain and Range

3.2 - Composite Functions

3.3 - Inverse Functions

Functions - Multiple Choice Questions

3.1 - Domain and Range

3.2 - Composite Functions

Topic 4 - Graphs of Related Functions

4.1 - Graphs of related functions

4.2 - Logarithmic and exponential graphs

Graphs of Related Functions - Multiple Choice Questions

4.1 - Graphs of related functions

4.2 - Logarithmic and exponential graphs

Topic 5 - Graphs of Trigonometric Functions

5.2 - Graphs of trigonometric functions

2015 Paper 1 Question 4

Graphs of Trignometric Functions - Multiple Choice Questions

5.2 - Graphs of trigonometric functions

Topic 6 - Differentiation

6.1 - Learning to Differentiate

6.2 - Rate of Change

2017 Paper 1 Question 8

6.3 - Tangent to Curve

6.4 - Increasing/decreasing functions

6.5 - Stationary Points and Curve Sketching

6.6 - Closed intervals

2017 Paper 2 Question 7

6.8 - Optimisation

Differentiation - Multiple Choice Questions

6.1 - Learning to Differentiate

6.2 - Rate of Change

6.3 - Tangent to Curve

6.4 - Increasing/decreasing functions

6.5 - Stationary Points and Curve Sketching

Specimen 1 Paper 1 Question 7

Topic 7 - Polynomials

7.1 - Factorising polynomials

7.2 - Finding unknown values in polynomials

7.3 - Points of intersection 2

Specimen 1 Paper 1 Question 23

Polynomials - Multiple Choice Questions

Topic 8 - Quadratics

8.1 - Determining the equation of a quadratic/cubic

8.2 - Completing the square

8.3 - Quadratic inequalities

8.4 - The Discriminant

8.5 - Points of intersection 3

Specimen Paper 1 Question 2

Quadratics - Multiple Choice Questions

8.1 - Determining the equation of a quadratic/cubic

8.2 - Completing the square

8.3 - Quadratic inequalities

8.4 - The Discriminant

Topic 9 - Integration

9.1 - Indefinite Integrals

9.2 - Definite Integrals

9.3 - Differential Equations

9.4 - Shaded Area

Integration - Multiple Choice Questions

9.1 - Indefinate Integrals

9.3 - Differential Equations

9.4 - Shaded Area

Topic 10 - Trigonometry

10.1 - Trigonometric formulae

10.2 - Solving Trig Equations

10.3 - Trig Identities

Trigonometry - Multiple Choice Questions

10.1 - Trigonometric Formulae

10.2 - Solving Trig Equations

Topic 11 - The Circle

11.1 - Equations of a circle

11.2 - Equation of the tangent to a circle

11.3 - Points of Intersection 4

11.4 - Intersecting circles

The Circle - Multiple Choice Questions

11.1 - Equations of a Circle

11.2 - Equation of the Tangent to a Circle

11.3 - Points of Intersection 4

2009 Paper 1 Question 9

11.4 - Intersecting Circles

2015 Paper 1 Question 18

Topic 12 - Vectors

12.1 - Vectors introduction

12.2 - Vectors journeys

12.3 - Collinearity and Ratio

12.4 - Scalar product

12.5 - The angle between 2 vectors

Topic 13 - Further Calculus

13.1 - Further Differentiation

13.2 - Further Integration

Topic 14 - Logs and Exponentials

14.1 - Simplifying numerical expressions

14.2 - Solving logarithmic equations

14.3 - Solving exponential equations

14.4 - Experimental Data

Topic 15 - The Wave Function

15.2 - The Wave Function; part (b's)

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