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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.

• Simultaneous Shopping Find the cost of the individual items in shopping baskets (introduction to simultaneous equations).
• Superfluous Find a strategy to figure out the values of the letters used in these calculations.
• Factorising Video A reminder of how to factorise an algebraic expression. This video is to help you do the online, self-marking exercise.
• New Way to Solve Quadratics A computationally-efficient, natural, and easy-to-remember algorithm for solving general quadratic equations.
• Quadratic Equations Video Learn the common methods of solving quadratic equations by factorising and by using the quadratic formula.
• Quadratic Formula Song A song from Math Upgrade dot com.
• Quadratic Equations Solve these quadratic equations algebraically in this seven-level, self-marking online exercise.
• Factorising Quadratics An exercise about factorising quadratics presented one question at a time suitable for a whole class activity.
• Completing the Square Practise this technique for solving quadratic equations and analysing graphs.
• Simultaneous Equations Video Learn to solve simultaneous equations from the very basic to those containing quadratics. This video is to help you do the online, self-marking exercise.
• Simultaneous Equations A self-marking, multi-level set of exercises on solving pairs of simultaneous equations.
• Simultaneous Solutions Arrange the given pairs of simultaneous equations in groups to show whether they have no solution, one solution or infinite solutions.
• Unbeknownst Some picture grid puzzles which can be solved by using simultaneous equations.
• Name that Graph Choose from the given functions the one that best describes the shape of the graph.
• Graph Plotter An online tool to draw, display and investigate graphs of many different kinds.
• Using Graphs Use the graphs provided and create your own to solve both simultaneous and quadratic equations.
• Problems Leading To Quadratics Situations from 1885 which can be described using algebra and explained by solving quadratic equations
• 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:

• "Nora and Dora are trying to solve the following simultaneous equations by finding the intersection of their graphs." ... more
• "The diagram below is a sketch of \(y = f(x)\) where \(f(x)\) is a quadratic function." ... more
• "\(3x^2+9x-12\) can be written in the form \(a(x+b)^2-c\)." ... more
• "(a) Use the red graphs to solve the simultaneous equations:" ... more
• "The volume of the larger red cube is 386cm³ greater than the volume of the smaller blue cube." ... more
• "The straight line \(y = 3x - 4\) intersects the curve \(y = x^2 + 4x – 7\) at the points \(A\) and \(B\)." ... more
• "(a) Write \(x^2 - 6x + 5\) in the form \((x-a)^2 + b\)." ... more
• "Solve the simultaneous equations" ... more
• " The table shows some values for \(y=3x^{2}-x^{3}-1\). " ... more
• "Estimate the solutions of the following simultaneous equations using their graphs as drawn on the grid below." ... more
• "Solve the simultaneous equations:" ... more
• "(a) Show that the equation \(\frac{3}{x+1}+\frac{3x-9}{2}=1\) can be simplified to \(3x^2-8x-5=0\)." ... more
• "A rectangular sheet of paper can be cut into two identical rectangular pieces in two different ways, either by cutting along line A or by cutting along line B." ... more
• "Show that you understand equations and inequalities by answering the following:" ... more
• "In this question all measurements are in centimetres." ... more
• "Draw the graph of \(y = 2x^2 + 3x - 7\) for \( -3.5 \le x \le 2\). Draw suitable straight lines to find approximate solutions (to one decimal place) of the equations:" ... more
• "A red rug has a width of \(x-3\) cm and a length of \(4x\) cm." ... more
• "In the diagram below, which is not drawn to scale, all dimensions are in centimetres and all angles are multiples of 90^o. If the shaded area is 698cm², work out the value of \(x\)." ... more
• "Given that:" ... more
• "The area of triangle ABC (not drawn to scale) is " ... more
• "Solve algebraically the simultaneous equations to find the solution where \(-10 \le x \le 10\)." ... more
• "Two numbers are chosen so that the sum of their squares is 25." ... more
• "The prices of two watches are in the ratio \(a:b\)." ... 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.