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Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Quiz designed as summary test for MAST resource: Matrices (A Level Further Maths content)

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Calculate an answer involving a fractional index.

Multiplication and addition of complex numbers. Four parts.

Draw Shear and Bending Moment Diagrams for a simply supported or overhanging beam loaded with one or two concentrated forces.

Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.

Cofactors Determinant and inverse of a 3x3 matrix.

Exercises on calculating the determinant of 2x2 and 3x3 matrices.

Multiply 2 random 2x2 matrices

3-part question with drop-downs testing understanding of when matrices are conformable.

This question is designed for formative homework practice following a lesson on hyperbolic function identities. It serves three purposes:

1. Skill reinforcement — Students practice proving a standard hyperbolic identity using exponential definitions

2. Application — Students apply the identity to solve a parametric equation involving a constant

3. Discriminant analysis — Students determine conditions for two distinct real roots using quadratic discriminant theory

The question bridges pure algebraic manipulation (proof) with analytical reasoning (inequalities), which is a common structure in FP2 examination questions.

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Recovering original function given some information such as derivative and value at some point.

Copy the problem parameters into the handout provided and solve the Building Fabric heat loss problem by hand. Enter your answers into this quiz to get your score. Upload a copy of your written answer to the submission on Brightspace. Good Luck!

Calculate the heat losses from a model building based on the U values, dimensions and other parameters specified. In addition calculate the annual running costs and payback period for improvements to the building Fabric.

In this question the students have to solve a linear recurrence of order 2. The sequence is asked in recurrence form and the goal is to find its closed form.

In this question the students have to solve a linear recurrence of order 1. The sequence is asked in recurrence form and the goal is to find its closed form.

Single part question with 2x2 matrix multiplied by a small integer.

Identify elements by their subscript notation from given matrices.

fill the gaps activity to check understanding of solving a 2x2 system with a matrix determinant

A demo of the gap-fill part and its options.

Find the force of the piston and the reaction at the pin for the boom of a bucket truck.

End of chapter exercises for Engineering Statics: Open and Interactive 

Simple derivatives