A cmprehensive set of questions covering the different ways to solve quadratics by factorising

quadratics with some set up rearranging needed

Ensures that the quadratic factorises into a rational answer and an integer

Factorising where a has multiple factor pairs

Use a table of properties to find the Area Moment of inertia for simple shapes: rectangle, triangle, circle, semicircle, and quarter circle.

 The parallel axis theorem is not required for any of these shapes.  One situation requires subtracting a triangle from a rectangle however.

Distinguish between centroidal and non-centroidal moments of inertia.

Difference of two squares - where one square has a coefficient

solving a factorised quadratic

Several questions on multiplying algebraic fractions.

Several questions on dividing algrbraic fractions.

Simplifying first is essential in terms of managing expressions that might need factorising.

Manipulate fractions in order to add and subtract them. The difficulty escalates through the inclusion of a whole integer and a decimal, which both need to be converted into a fraction before the addition/subtraction can take place. 

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

Addition, subtraction and multiplication by a scalar for 2 x 2 matrices.

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

Multiplication of $2 \times 2$ matrices.

Divisor is single digit. There is a remainder which we express as a decimal by continuing the long division process. Rounding is required to one decimal place. The working suggests determining the second decimal place so the student knows whether to round up or down.

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a positive gradient.

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

A question to practice functions, graphs and domains

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

Finding the coordinates and determining the nature of the stationary points on a polynomial function

Calculating gradients - polynomials

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

A quadratic equation (equivalent to $(x+a)^2-b$) is given and sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

Finding X-Y intercepts for quadratic and cubic equations.

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Addition, subtraction and multiplication by a scalar for 2 x 2 matrices.

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

Multiplication of $2 \times 2$ matrices.