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The activities linked to these SAT Maths topics are existing Transum resources, not exercises specifically designed for the SAT examination. They use British English and may include questions or difficulty levels beyond and adjacent to those required for the SAT.

• Algebraic Notation Simplification using the normal conventions of algebra.
• Algebragons Find the missing expressions in these partly completed algebraic arithmagon puzzles.
• Collecting Like Terms Video If you have forgotten what collecting like terms means watch this video for a quick refresher.
• Collecting Like Terms Practise your algebraic simplification skills with this self marking exercise.
• Indices A self marking exercise on indices (powers or exponents) including evaluating expressions and solving equations.
• Brackets Levels 1 and 2 Learn how to remove brackets from simple algebraic expressions. This video is to help you do the online, self-marking exercise.
• Brackets Levels 3 to 5 Learn how to multiply the terms inside a pair of brackets by the term outside. This video is to help you do the online, self-marking exercise.
• Brackets Levels 6 to 8 Expand a pair of brackets using the clown's face method. This video is to help you do the online, self-marking exercise.
• Indices Video Indices, exponents and powers can all be used as a short way to describe repeated multiplication.
• Brackets Levels 9 and 10 The final video showing how algebraic expressions containing brackets can be simplified.
• Brackets Expand algebraic expressions containing brackets and simplify the resulting expression in this self marking exercise.
• Don's Expressions Find expressions for the missing lengths in the diagrams not drawn to scale.
• Algebraic Perimeters Questions about the perimeters and areas of polygons given as algebraic expressions.
• Algebraic HCF Exercises providing practice finding the highest common factor of algebraic expressions.
• Algebraic LCM Exercises providing practice finding the lowest common multiple of algebraic expressions.
• Factorising Practise the skills of algebraic factorisation in this structured online self-marking exercise.
• How old was Diophantus? An ancient riddle which can be answered by solving an equation containing fractions.
• Where am I with Algebra? Find out how developed your algebra skills are and then take them to the next level.
• Power Play Exercises on powers and roots and simplifying index expressions involving numbers of the same base.
• Pascal's Triangle Get to know this famous number pattern with some revealing learning activities
• Algebraic Fractions A mixture of algebraic fraction calculations and simplifications.
• Algebraic Fractions Extend your knowledge of fractions to algebraic fractions. This video is to help you do the online, self-marking exercise.
• Graph Unknowns Use clues about expressions and their graphs to find the missing values.

Here are some exam-style questions (not SAT questions) on this topic:

• "Multiply out and simplify:" ... more
• "The diagram shows an isosceles triangle (not drawn to scale)." ... more
• "Expand the following expressions:" ... more
• "Simplify the following algebraic fraction:" ... more
• "Simplify the following expressions:" ... more
• "Factorise the following expression:" ... more
• "(a) Simplify:" ... more
• "Find the highest common factor of the following two expressions:" ... more
• "Simplify then find the square root of this expression:" ... more
• "(a) The expression \( (x+1)(2x-3)(3x+4) \) can be written in the form \(ax^3 + bx^2 + cx + d \) where \(a, b, c\) and \(d\) are integers. Find the values of \(a, b, c\) and \(d\)." ... more
• "(a) Write down all the factors of 24." ... more
• "Two rectangles, not drawn to scale, are shown below. All measurements are in centimetres. Both rectangles have the same areas. Work out the perimeter of the rectangle on the left." ... more
• "(a) Simplify \( \left(\dfrac{3a}{a^3 - 3}\right)^0 \)" ... more
• "Write as a single fraction in its simplest form." ... more
• "Work out the exact value of \(n\)." ... more
• "Expand and simplify the following expression:" ... more
• "(a) Express the following as a single fraction in its simplest form." ... more
• "(a) Simplify \( 6(3a-2)-2(a-3) \)" ... more
• "(a) The \(n\)th term of a sequence is \(2^n+2^{n+1}\)" ... more
• "(a) Simplify the following expression." ... more
• "(a) Without using a calculator, show that \(\sqrt{28}=2\sqrt7\)

  (b) The point \(X\) is shown on the unit grid below. The point \(Y\) is \(\sqrt17\) units from \(X\) and lies on the intersection of two grid lines. Mark one possible position for \(Y\)." ... more

• "If a, b and c are positive integers use the following statements to find the values of a, b and c." ... more
• "Factorise the following expression" ... more
• "Show that:" ... more
• "The expression below can be written as a single fraction in the form \( \dfrac{a-bx}{x^2-25} \) where \(a\) and \(b\) are integers." ... more
• "\(y = a \times b^{x – 2}\) where \(a\) and \(b\) are numbers." ... more

See all these questions

This page refers to the American SAT, a standardised test used for university admissions in the United States, not the National Curriculum assessments commonly known as SATs taken by primary school pupils in England.