# data[].attributes.body
Practice Paper 1 (SA1): w.b. 6th October

Practice Paper 2: w.b. 17th November

Practice Paper 3: w.b. 15th December

Mock Exams (SA2): w.b. 12th January (3 weeks)

# data[].attributes.body
Knowledge that students will be taught:

ALL students will be able to:

describe the results of using index laws, including with positive integer powers, square roots, and cube roots of numbers

write one number as a power of another

write ordinary numbers in standard form

write numbers in standard form as ordinary numbers

In addition, Higher Tier students will be able to:

use fractional and negative powers of numbers

express exact answers that are irrational numbers using surds

# data[].attributes.body
Knowledge that students will be taught:

ALL students will be able to:

identify key properties of quadratic graphs

draw cubic graphs

draw reciprocal graphs

identify graphs of linear, quadratic, cubic and reciprocal functions by shape

draw real-life graphs

draw graphs of water flows

In addition, Higher Tier students will be able to:

draw graphs of trigonometric functions

draw transformations of trigonometric graphs

draw graphs of exponential functions

find gradients of tangents at a point on a curve

calculate the area under a graph

find and use the equation of a circle

# data[].attributes.body
Knowledge that students will be taught:

ALL students will be able to:

recall Pythagoras’ theorem

recall trigonometric ratios for right-angled triangles (SOHCAHTOA)

recall exact trigonometric values of sinθ and cosθ for

θ = 0°, 30°, 45°, 60° and 90° and recall the exact value of tanθ for θ = 0°, 30°, 45° and 60°

state that a vector has a length and direction

write a vector using column notation

write a vector using arrow notation

write a vector using underlining notation e.g. a

recall that printed vectors can be in boldface e.g. a

identify multiples of vectors and parallel vectors

add and subtract column vectors

use vectors in diagrams

In addition, Higher Tier students will be able to:

recall the sine rule or cosine rule for non-right-angled triangles

recall the area of a triangle formula using trigonometry

calculate the length of a vector

# data[].attributes.body
Knowledge that students will be taught:

ALL students will be able to:

use set notation

show sets in Venn diagrams

calculate probabilities from sets and Venn diagrams

draw sample space diagrams

draw frequency trees

draw tree diagrams

identify independent and dependent events

In addition, Higher Tier students will be able to:

use conditional probability notation

recognise when one set of events is a subset of another

# data[].attributes.body
Knowledge that students will be taught:

ALL students will be able to:

write terms in a sequence using a term-to-term rule

describe the term-to-term rule of a sequence in words

draw a term of a sequence given in diagram form

identify if a given value is a term of a sequence

write a sequence using a position-to-term rule

find the nth term of a sequence

write terms of an arithmetic sequence

write terms of a geometric sequence

write terms of a quadratic sequence

write terms of a Fibonacci-type sequence

identify other special sequences including square numbers, cube numbers and triangular numbers

In addition, Higher Tier students will be able to:

find the nth term of quadratic and geometric sequences

# data[].attributes.body
Knowledge that students will be taught:

ALL students will be able to:

identify compound units involving speed, distance, and time or density, mass, and volume or pressure, force, and area

calculate rates of pay and rates of flow

identify quantities in direct proportion and inverse proportion

draw proportionality graphs

calculate with exchange rates

calculate growth and decay

calculate with compound interest

In addition, Higher Tier students will be able to:

recall conversions between units of area

recall conversions between units of volume

construct proportionality equations using a constant of proportionality

calculate the gradient of a curve at a point using a tangent

calculate the average gradient of a curve between two points using a chord

# data[].attributes.body
Website Link:

Sparx Maths - Home

# data[].attributes.attachment_link.title
GCSE Mathematics 2025 Higher Tier Exam Aid