Higher Maths - Self Marking Quizzes

Higher Mathematics

Topic 1 – The Straight Line

1∙1

Bronze Outcome 1

The gradient of a straight line – whole numbers

Quiz 1

https://forms.gle/neUZz9wPWRrAhdbx7

1∙1

Silver Outcome 2

The gradient of a straight line – fractions

1∙1

Gold Outcome 3

Finding a point when given the gradient

1∙2

Bronze Outcome 1

The equation of a line when given a point and the gradient

Quiz 2

https://forms.gle/cag2qmAY6ZRBjft17

1∙2

Silver Outcome 2

The equation of a line when given 2 points

1∙2

Gold Outcome 3

The equation of a line - with fractions

1∙3

Bronze Outcome 1

Calculating the gradient when given an angle

Quiz 3

https://forms.gle/oGtwaXzuMGzLVmeB7

1∙3

Silver Outcome 2

Calculating an angle when given the gradient

1∙3

Gold Outcome 3

Calculating the gradient or angle – exact values

1∙4

Outcome 1

Calculating the distance between 2 points

Quiz 4

https://forms.gle/8KotMTJuuJYMbRXo7

1∙5

Bronze Outcome 1

Calculating the Midpoint – positive numbers

Quiz 5

https://forms.gle/CTfRvCambWZxH36z8

1∙5

Silver Outcome 2

Calculating the Midpoint – negative numbers

1∙5

Gold Outcome 3

Calculating an end-point when given Midpoint

1∙6

Bronze Outcome 1

Parallel gradients

Quiz 6

https://forms.gle/xdexuV2vGbvf5W4BA

1∙6

Silver Outcome 2

Perpendicular gradients

1∙6

Gold Outcome 3

Parallel & perpendicular gradients with exact values

1∙7

Outcome 1

Collinearity

Quiz 7

https://forms.gle/eCeGuJTwzwf3cg6WA

1∙8

Bronze Outcome 1

Medians

Quiz 8

https://forms.gle/Rxb4teVoW6ZQCwoh8

1∙8

Silver Outcome 2

Altitudes

1∙8

Gold Outcome 3

Perpendicular bisectors

1∙9

Bronze Outcome 1

Point of intersection between 2 lines – positive ‘x’

Quiz 9

https://forms.gle/17NA9cKNN5Xk8a2YA

1∙9

Silver Outcome 2

Point of intersection between 2 lines – negative ‘x’

1∙9

Gold Outcome 3

Point of intersection between 2 lines – with fractions

Topic 2 - Recurrence Relations

2∙1

Bronze Outcome 1

Calculating terms in recurrence relations – with whole numbers

Quiz 10

https://forms.gle/2fTexnYGtYhE2AcbA

2∙1

Silver Outcome 2

Calculating terms  – with fractions and decimals

2∙1

Gold Outcome 3

Calculating terms – working backwards

2∙2

Bronze Outcome 1

Calculating the limit – with decimals

Quiz 11

https://forms.gle/G1j2iL6KCtaVHHmZ6

2∙2

Silver Outcome 2

Calculating the limit – with fractions

2∙2

Gold Outcome 3

Finding a or b when given the limit

2∙3

Outcome 1

Finding the values of a and b in a recurrence relation

Quiz 12

https://forms.gle/pVZtZyyBvvK9t78e9

2∙4

Outcome 1

Recurrence relations in context

Quiz 13

https://forms.gle/h66p2HiC1Na1u5dT6

Topic 3 – Functions

3∙1

Bronze Outcome 1

Composite functions – ‘f(g(number))’

Quiz 14

https://forms.gle/DeYVcVetEmu4nYqc6

3∙1

Silver Outcome 2

Composite functions – ‘f(g(x))’

3∙1

Gold Outcome 3

Composite functions – working backwards to find x

3∙2

Bronze Outcome 1

Restrictions on the domain – for fractions

Quiz 15

https://forms.gle/fdJGQFNFTrfyoxUBA

3∙2

Silver Outcome 2

Restrictions on the domain – for square roots

3∙2

Gold Outcome 3

Domain and range

3∙3

Outcome 1

Calculating inverse functions

Quiz 16

https://forms.gle/ogMyyafLv6r59cKJA

Topic 4 – Graphs of Related Functions

4∙1

Bronze Outcome 1

Graphs of related functions – changing the y coords

Quiz 17

https://forms.gle/LWJiJ8a6E96GtGq3A

4∙1

Silver Outcome 2

Graphs of related functions – changing the x coords

4∙1

Gold Outcome 3

Graphs of related functions – changing both of them

4∙2

Bronze Outcome 1

Graphs of exponential functions

Quiz 18

https://forms.gle/hyqaksxX2orAm22K6

4∙2

Silver Outcome 2

Graphs of logarithmic functions

4∙2

Gold Outcome 3

Inverse graphs of exponential & logarithmic functions

Topic 5 – Graphs of trigonometric functions

5∙1

Bronze Outcome 1

Changing radians into degrees

Quiz 19

https://forms.gle/pu3TQ9C3bkxjVi6HA

5∙1

Silver Outcome 2

Changing degrees into radians

5∙1

Gold Outcome 3

Graphs of related functions – changing both of them

5∙2

Bronze Outcome 1

Trigonometric graphs - finding the values of a and b

Quiz 20

https://forms.gle/h2M4DDJn5igmbVbJA

5∙2

Silver Outcome 2

Trigonometric graphs - Finding the values of a, b and c

5∙2

Gold Outcome 3

Sketching graphs of trickier trigonometric functions

Topic 6 – Differentiation

6∙1

Bronze Outcome 1

Basic differentiation

Quiz 21

https://forms.gle/cgFUwGH8HBZ5n3dt8

6∙1

Silver Outcome 2

Differentiation – with fractions and indices

6∙1

Gold Outcome 3

Harder differentiation

6∙2

Bronze Outcome 1

Finding the derivative at a particular point

Quiz 22

https://forms.gle/XfHkMGunygZiFERS6

6∙2

Silver Outcome 2

Harder substitution

6∙2

Gold Outcome 3

Rates of change

6∙3

Bronze Outcome 1

Calculating the gradient of a tangent to curve

Quiz 23

https://forms.gle/Jhqng6RD3s7QGDTi8

6∙3

Silver Outcome 2

Calculating the equation of a tangent to curve

6∙3

Gold Outcome 3

Finding a point when given the gradient

6∙4

Bronze Outcome 1

Increasing/decreasing functions

Quiz 24

https://forms.gle/9RepEuMnuY95hJCG9

6∙4

Silver Outcome 2

Stationary functions

6∙4

Gold Outcome 3

The graph of the derived function

6∙5

Bronze Outcome 1

Calculating the coordinates of stationary points

Quiz 25

https://forms.gle/VJqjQCoo7Cpcu945A

6∙5

Silver Outcome 2

Determining the nature of stationary points

6∙5

Gold Outcome 3

Curve sketching

6∙6

Outcome 1

Maximum & minimum values within a closed interval

Quiz 26

https://forms.gle/ysye8YsP6TxRiwuK8

6∙7

Outcome 1

Optimisation

Quiz 27

Topic 7 – Polynomials

7∙1

Bronze Outcome 1

Factorising cubic polynomials when given the factor

Quiz 28

https://forms.gle/TaxdFuqH6ZXzT4R86

7∙1

Silver Outcome 2

Factorising cubic polynomials when not given the factor and missing terms

7∙1

Gold Outcome 3

Factorising polynomials of degree 4

7∙2

Bronze Outcome 1

Finding ‘k’ in simple expressions

Quiz 29

https://forms.gle/28Lb5LQy4jEgYxtU9

7∙2

Silver Outcome 2

Finding ‘c’ in trickier expressions

7∙2

Gold Outcome 3

Finding the values of ‘a’ and ‘b’ in polynomials

7∙3

Bronze Outcome 1

Points of intersection between a curve & the x-axis

Quiz 30

https://forms.gle/3p2RJVzYk4ggqmE39

7∙3

Silver Outcome 2

Intersection between a curve & a straight line

7∙3

Gold Outcome 3

Points of intersection between a cubic & a quadratic

Topic 8 – Quadratics

8∙1

Bronze Outcome 1

Writing the equation of a quadratic function with a common factor

Quiz 31

https://forms.gle/QaYHrohvAirFBGnXA

8∙1

Silver Outcome 2

Writing the equation of a quadratic function in trinomial form

8∙1

Gold Outcome 3

Writing the equation of a cubic function

8∙2

Bronze Outcome 1

Completing the square with non-unitary x²

Quiz 32

https://forms.gle/twR6JGsYJ2yF9F8D8

8∙2

Silver Outcome 2

Completing the square with negative non-unitary x²

8∙2

Gold Outcome 3

Maximum and minimum values

8∙3

Bronze Outcome 1

Solving quadratic inequalities with a common factor

Quiz 33

https://forms.gle/n8q6Qu4ue5JxRp3PA

8∙3

Silver Outcome 2

Solving quadratic inequalities with unitary x² trinomials

8∙3

Gold Outcome 3

Solving quadratic inequalities with non-unitary x² trinomials

8∙4

Bronze Outcome 1

The discriminant - solving for equal roots

Quiz 34

https://forms.gle/jTm78Uz7UaiWgn3q9

8∙4

Silver Outcome 2

Solving for real or no real roots

8∙4

Gold Outcome 3

Solving for equal, real or no real roots – hard algebra!

8∙5

Bronze Outcome 1

Points of intersection between a line & a curve – 2 points of contact

Quiz 35

https://forms.gle/PUqLTtudA9Gtxmsx6

8∙5

Silver Outcome 2

Points of intersection between a line & a curve – 1 point of contact

8∙5

Gold Outcome 3

Points of intersection between a line & a curve – no points of contact

Topic 9 – Integration

9∙1

Bronze Outcome 1

Indefinite integrals – for basic integration

Quiz 36

https://forms.gle/yKQUdsX5aFun4uZL7

9∙1

Silver Outcome 2

Indefinite integrals - with fractions and indices

9∙1

Gold Outcome 3

Indefinite integrals - harder integration!

9∙2

Bronze Outcome 1

Indefinite integrals - with basic integration

Quiz 37

https://forms.gle/BPzPMykNhfTTn5tb7

9∙2

Silver Outcome 2

Indefinite integrals - with standard integration

9∙2

Gold Outcome 3

Indefinite integrals - working backwards

9∙3

Outcome 1

Differential equations

Quiz 38

https://forms.gle/gDaESbiMYRBg76vN7

9∙4

Bronze Outcome 1

The area between a curve and the x-axis

Quiz 39

https://forms.gle/gw4rBEEnTSY6pUKb6

9∙4

Silver Outcome 2

The area between a curve and a line

9∙4

Gold Outcome 3

The area between two curves

Topic 10 – Trigonometry

10∙1

Bronze Outcome 1

Double angle formula – sin2x

Quiz 40

10∙1

Silver Outcome 2

Double angle formula – cos2x

10∙1

Gold Outcome 3

Addition formulae – for sine and cosine

10∙2

Bronze Outcome 1

Solving “type 1” trig equations

Quiz 41

10∙2

Silver Outcome 2

Solving “type 2” trig equations

10∙2

Gold Outcome 3

Solving “type 3” trig equations

10∙3

Bronze Outcome 1

Trig identities with sin2x

Quiz 42

10∙3

Silver Outcome 2

Trig identities with cos2x

10∙3

Gold Outcome 3

Trig identities with more than 1 identity

Topic 11 – Circles

11∙1

Bronze Outcome 1

The equation of a circle in the form (x - a)²+ (y – b)² = r²

Quiz 43

11∙1

Silver Outcome 2

The equation of a circle in the form x²+ y² - 2gx – 2fy + c = 0

11∙1

Gold Outcome 3

The equation of a circle when given the two end-points of a diameter

11∙2

Bronze Outcome 1

Calculating the gradient of a tangent to the circle

Quiz 44

11∙2

Silver Outcome 2

Calculating the equation of a tangent to the circle

11∙2

Gold Outcome 3

Calculating the equation of a tangent to the circle when given the other end point

11∙3

Bronze Outcome 1

Points of intersection between a line & a circle – 2 points of contact

Quiz 45

11∙3

Silver Outcome 2

Points of intersection between a line & a circle – 1 point of contact

11∙3

Gold Outcome 3

Points of intersection between a line & a circle – no points of contact

11∙4

Bronze Outcome 1

Intersecting circles – 2 points of contact

Quiz 46

11∙4

Silver Outcome 2

Intersecting circles – 1 point of contact

11∙4

Gold Outcome 3

Intersecting circles – no points of contact

Topic 12 – Vectors

12∙1

Bronze Outcome 1

Using vector components

Quiz 47

12∙1

Silver Outcome 2

The magnitude of a vector

12∙1

Gold Outcome 3

Unit vectors

12∙2

Bronze Outcome 1

Describing vector journeys – in terms of ‘p’, ‘q’ and ‘r’

Quiz 48

12∙2

Silver Outcome 2

Describing vector journeys – using the previous answer

12∙2

Gold Outcome 3

Calculating the components of a vector journey

12∙3

Bronze Outcome 1

2D Collinearity

Quiz 49

12∙3

Silver Outcome 2

3D Collinearity

12∙3

Gold Outcome 3

Finding a point when given the ratio

12∙4

Bronze Outcome 1

Scalar product

Quiz 50

12∙4

Silver Outcome 2

Perpendicular vectors

12∙4

Gold Outcome 3

Hard a∙b stuff

12∙5

Outcome 1

The angle between 2 vectors

Quiz 51

Topic 13 – Further Calculus

13∙1

Bronze Outcome 1

Further differentiation - with brackets

Quiz 52

https://forms.gle/JDEPEL33rN2Q9cEG8

13∙1

Silver Outcome 2

Further differentiation - with trigonometry

13∙1

Gold Outcome 3

Further differentiation - with brackets and trigonometry

13∙2

Bronze Outcome 1

Further integration - with brackets

Quiz 53

https://forms.gle/XWmZbiUGxCkhu9w49

13∙2

Silver Outcome 2

Further integration - with trigonometry

13∙2

Gold Outcome 3

Definite integrals with radian limits

Topic 14 – Logs and Exponentials

14∙1

Bronze Outcome 1

Evaluating logarithmic expressions

Quiz 54

14∙1

Silver Outcome 2

Simplifying logarithmic expressions – combining logs

14∙1

Gold Outcome 3

Simplifying logarithmic expressions – bringing stuff ‘up/down’

14∙2

Bronze Outcome 1

Solving simple logarithmic equations

Quiz 55

14∙2

Silver Outcome 2

Solving logarithmic equations

14∙2

Gold Outcome 3

Solving logarithmic equations with brackets

14∙3

Bronze Outcome 1

Solving exponential equations

Quiz 56

14∙3

Silver Outcome 2

Evaluating exponential equations

14∙3

Gold Outcome 3

Finding the ‘half-life’

14∙4

Bronze Outcome 1

Experimental data - graphs of the form y = a^x

Quiz 57

14∙4

Silver Outcome 2

Experimental data - graphs of the form y = ka^x

14∙4

Gold Outcome 3

Experimental data - graphs of the form y = kxⁿ

Topic 15 – The Wave Function

15∙1

Bronze Outcome 1

The wave function - 1^st quadrant angles

Quiz 58

15∙1

Silver Outcome 2

The wave function - 2^nd, 3^rd & 4^th quadrant angles

15∙1

Gold Outcome 3

The wave function - angles in radians

15∙2

Bronze Outcome 1

The wave function – solving ‘type 1’ trig equations

Quiz 59

15∙2

Silver Outcome 2

The wave function – maximum and minimum values

15∙2

Gold Outcome 3

The wave function – sketching trig graphs