AQA 8300 Higher Maths GCSE

Question 1

Construct and interpret equations that describe direct and inverse proportion

Accepted Answer

Yes

Question 2

Argue mathematically to show algebraic expressions are equivalent, including the use of proofs

Accepted Answer

Yes

Question 3

Interpret, draw and use Loci

Accepted Answer

Yes

Question 4

Solve quadratic equations algebraically including by using the quadratic formula

Accepted Answer

Yes

Question 5

Construct and interpret cumulative frequency curves including finding the median, UQ, LQ & IQR

Accepted Answer

Yes

Question 6

Solve quadratic equations algebraically by factorising

Accepted Answer

Yes

Question 7

Find the equation of a tangent to a circle at a given point

Accepted Answer

Yes

Question 8

Interpret and calculate the gradient at a point on a curve as the instantaneous rate of change

Accepted Answer

Yes

Question 9

Know & be able to use the formulae for: Pythagoras’ theorem

Accepted Answer

Yes

Question 10

Find approximate solutions to equations numerically using iteration

Accepted Answer

Yes

Question 11

Calculate with fractional indices

Accepted Answer

Yes

Question 12

Apply and interpret limits of accuracy including upper and lower bounds

Accepted Answer

Yes

Question 13

recognise, sketch and interpret graphs of trigonometric functions

Accepted Answer

Yes

Question 14

Simplify surd expressions involving squares (eg√12=√4×3=√4×√3=2√3) and rationalise denominators

Accepted Answer

Yes

Question 15

Use congruence and similarity including the relationships between lengths, areas and volumes

Accepted Answer

Yes

Question 16

Use and interpret Venn diagrams

Accepted Answer

Yes

Question 17

Interpret the reverse process as the ‘inverse function’

Accepted Answer

Yes

Question 18

Recognise and use quadratic sequences

Accepted Answer

Yes

Question 19

Solve two simultaneous equations algebraically including linear/quadratic

Accepted Answer

Yes

Question 20

Use the form y=mx+c to identify perpendicular lines

Accepted Answer

Yes

Question 21

recognise, sketch and interpret graphs of reciprocal functions

Accepted Answer

Yes

Question 22

Change recurring decimals into their corresponding fractions and vice versa

Accepted Answer

Yes

Question 23

Solve quadratic equations algebraically by completing the square

Accepted Answer

Yes

Question 24

Be able to recognise invariant points

Accepted Answer

Yes

Question 25

Interpret the succession of two functions as a ‘composite function’

Accepted Answer

Yes

Question 26

Use vectors to construct geometric arguments and proofs

Accepted Answer

Yes

Question 27

Calculate exactly with surds

Accepted Answer

Yes

Question 28

Complete and interpret rotation, reflection, enlargement and translation

Accepted Answer

Yes

Question 29

Deduce turning points by completing the square

Accepted Answer

Yes

Question 30

Recognise and use the equation of a circle with centre at the origin or a given point

Accepted Answer

Yes

Question 31

Sketch translations and reflections of a given function

Accepted Answer

Yes

Question 32

Construct and interpret box plots

Accepted Answer

Yes

Question 33

Know and apply the sine rule

Accepted Answer

Yes

Question 34

Simplify & manipulate algebraic expressions (inc surds and algebraic fractions) by factorising

Accepted Answer

Yes

Question 35

Recognise and use sequences of triangular, square and cube numbers

Accepted Answer

Yes

Question 36

Use and interpret tree diagrams and use them to calculate probabilities

Accepted Answer

Yes

Question 37

Recognise and use Fibonacci-type sequences

Accepted Answer

Yes

Question 38

Apply and prove the standard circle theorems

Accepted Answer

Yes

Question 39

Estimate powers and roots of any given positive number

Accepted Answer

Yes

Question 40

Deduce expressions to calculate the nth term of quadratic sequences

Accepted Answer

Yes

Question 41

Calculate or estimate gradients of graphs and areas under graphs

Accepted Answer

Yes

Question 42

Deduce expressions to calculate the nth term of linear sequences

Accepted Answer

Yes

Question 43

Use systematic listing strategies including use of the product rule for counting

Accepted Answer

Yes

Question 44

Interpret and calculate the gradient of a chord as the average rate of change

Accepted Answer

Yes

Question 45

Construct and interpret diagrams for grouped discrete data and continuous data in histograms

Accepted Answer

Yes

Question 46

Know and apply the cosine rule

Accepted Answer

Yes

Question 47

Know and apply the area using sine rule

Accepted Answer

Yes

Question 48

recognise, sketch and interpret graphs of linear functions

Accepted Answer

Yes

Question 49

Simplify and manipulate algebraic expressions (inc surds and algebraic fractions) by expanding

Accepted Answer

Yes

Question 50

Solve linear inequalities & show the solution on a number line, in set notation and on a graph

Accepted Answer

Yes

Question 51

Solve quadratic inequalities & show the solution on a number line, in set notation and a graph

Accepted Answer

Yes

Question 52

recognise, sketch and interpret graphs of cubic functions

Accepted Answer

Yes

Question 53

Know & be able to use the formulae for trigonometry in right angled triangles

Accepted Answer

Yes

AQA 8300 Higher Maths GCSE

Questions 53

AQA 8300 Higher Maths GCSE

Questions 53