The cards Question What is a function in maths? Tap to flip Answer A mathematical relationship that uniquely maps values of one set to the values of another set. Question What is the domain of a function? Tap to flip Answer The set of values that the mapping is performed on: the set of inputs. Question What is the range of a function? Tap to flip Answer The set of values mapped to by the function and the stated domain: the set of outputs. Question What does a function give for any valid input? Tap to flip Answer An output. Question What does a function do to an input to give an output? Tap to flip Answer It performs a series of operations on it. Question Why is function notation useful? Tap to flip Answer It is a shorthand, so the whole function does not need to be written out each time. Question When should function notation be defined? Tap to flip Answer At the start. Question What does an inverse function do? Tap to flip Answer It reverses the mapping of the original function. Question How can you find the inverse of a function algebraically? Tap to flip Answer By changing the subject. Question An inverse function maps the output of the original function to what? Tap to flip Answer To the input. Question The range of a function is the same as what for its inverse function? Tap to flip Answer The domain of its inverse function. Question In the composite function gf(x), whose output is the input for g(x)? Tap to flip Answer The output of f(x). Question What does an equation show? Tap to flip Answer That two expressions are equal to each other. Question If a function has a given output, what can you solve to find? Tap to flip Answer The input. Question How can you check a solution to an equation involving a composite function? Tap to flip Answer Substitute the answer into the composite function. Question What can help confirm the order in which the functions in a composite function are evaluated? Tap to flip Answer Putting brackets around the functions. Question What is a multiple? Tap to flip Answer The product of a number and an integer. Question What is an integer? Tap to flip Answer Any positive or negative whole number, or zero. Question What can be used to help write general algebraic forms of multiples? Tap to flip Answer The divisibility tests. Question What is a prime number? Tap to flip Answer An integer greater than one with exactly 2 factors. Question What is a triangular number? Tap to flip Answer A number that can be represented by a pattern of dots arranged into an equilateral triangle. Question For a triangular number, what does the term number tell you? Tap to flip Answer The number of dots in a side of the triangle. Question What is a conjecture? Tap to flip Answer A (mathematical) statement that is thought to be true but has not been proved yet. Question Is it acceptable for a conjecture to be proved wrong? Tap to flip Answer Yes. A conjecture is thought to be true but may not be, which is why it is tested. Question What does it mean to generalise? Tap to flip Answer To formulate a statement or rule that applies correctly to all relevant cases. Question What is it called when substituting values reveals that a conjecture is wrong? Tap to flip Answer Disproving. Question What does a proof require? Tap to flip Answer All possible cases to be considered and accounted for. Question Why is a demonstration not a proof? Tap to flip Answer A demonstration shows it works for one specific case; a proof lets us know all the cases that are true. Question When can substituting values prove a conjecture? Tap to flip Answer Only when all possibilities are exhausted. Question How can a conjecture about a generalisation be expressed? Tap to flip Answer Algebraically. Question Why should algebraic expressions be defined at the start of a proof? Tap to flip Answer So it is clear what cases you are proving. Question How can algebraic expressions be used to prove or show a result? Tap to flip Answer By manipulating them into a different form that is equal. Question What is a logical argument? Tap to flip Answer A series of statements that progress in a clear way, each based on the previous statement being true. Question In a logical argument, what does reaching a contradiction show? Tap to flip Answer That the original assumption was wrong. Question What is a rational number? Tap to flip Answer A number that can be written in the form a/b, where a and b are integers and b is not equal to 0. Question What is an irrational number? Tap to flip Answer A number that cannot be written in the form a/b, where a and b are integers and b is not equal to 0. Question Why can a diagram be used in a proof? Tap to flip Answer A diagram can represent multiple cases. Question What is the hypotenuse? Tap to flip Answer The side of a right-angled triangle that is opposite the right angle. Question When are two shapes congruent? Tap to flip Answer When one can fit exactly on top of the other using rotation, reflection or translation. Question What is the apex of a shape? Tap to flip Answer The point (vertex) that is the greatest perpendicular distance from the base. Question What does an expression contain? Tap to flip Answer One or more terms, where each term is separated by an operator. Where this deck sits in the curriculum Curriculum National Curriculum for England Stage GCSE (Years 10–11) Course GCSE Maths Unit Functions and proof Tiers higher England's National Curriculum sets what is taught; the units and their order are Oak National Academy's. Flash Feed is not affiliated with Oak or any exam board.
How this deck was checked On 2026-11-02, every card was compared with its source: the lessons of Oak National Academy, a public body funded by England's Department for Education that publishes lessons for the national curriculum. Because the cards come from those lessons, no second source was sought. The comparison was done automatically, not by a teacher, so a card can still be wrong. Flash Feed is not affiliated with any source named here.
Sources Total: 14 · primary: 14 · second publisher: 0
Show the other sources (12) Primary source Problem solving with functions and proof (opens in a new tab) (Oak National Academy, thenational.academy) Primary source Writing a proof (opens in a new tab) (Oak National Academy, thenational.academy) Primary source Logical arguments (opens in a new tab) (Oak National Academy, thenational.academy) Primary source Multiple approaches to logical arguments (opens in a new tab) (Oak National Academy, thenational.academy) Primary source Defining function notation (opens in a new tab) (Oak National Academy, thenational.academy) Primary source Finding the inverse of a function (opens in a new tab) (Oak National Academy, thenational.academy) Primary source Writing composite functions (opens in a new tab) (Oak National Academy, thenational.academy) Primary source Solving equations involving functions (opens in a new tab) (Oak National Academy, thenational.academy) Primary source Solving equations involving composite functions (opens in a new tab) (Oak National Academy, thenational.academy) Primary source General algebraic forms for specific number properties (opens in a new tab) (Oak National Academy, thenational.academy) Primary source Making conjectures about patterns and relationships (opens in a new tab) (Oak National Academy, thenational.academy) Primary source Proving or disproving a statement (opens in a new tab) (Oak National Academy, thenational.academy) Found a mistake? Write to support@flashfeed.app .
A Maths lesson by Oak National Academy licensed under Open Government Licence (OGL)
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