Will Roberts

Classifying matrices (dimensions/order) (5 parts).

Tests understanding of order and subscript notation for matrices (three parts)

Identify elements by their subscript notation from given matrices.

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

Give any valid solution to a second order ODE with general solution Ae^x+Bcosh(x)+Csinh(x)

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

Use defintions of the hyperbolic functions to integrate by considering exponentials.

Rearrange and make a substitution to integrate a quotient to a function in terms of arsinh.

Rearrange and make a substitution to integrate a quotient to a function in terms of arsinh.

Use double angle an pythagorean identities to manipulate before integrating.

Using double angle and pythagorean identities (2 parts)

Find  $\displaystyle \int\cosh(ax+b)\;dx,\;\;\int x\sinh(cx+d)\;dx$

Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$

Multiple choice of hyperbolic functions (image of graph given).

Calculate the dot products of (a) two 2D vectors and (b) two 3D vectors.

Find the determinant of  a random (3x3) matrix.

A 'concept test'.  3 multiple choice questions about a graphed normal distribution curve modelling IQ data.

No caculation 'concept test' on confidence intervals.  A single multiple choice question interpreting a CI.

A 'concept test' (no calculations) with 4 multiple-choice parts.

(a) Read subscript notation to identify an element in a 3x3 matrix; (b) chose the correct subscripted name from a list for a given element in a 3x3 matrix.

Find the determinant of a random (2x2) matrix.

Multiple choice: select the correct (mxn) representation of the sizes of various matrices.

Calculate the product of two 3D vectors in column notation.

Find the cross product of 2D vectors (WARNING: requires scalar answer (magnitude only))

Part 1: multiply a 3D vector by an integer scalar
Part 2: perform scalar multiplication and subtraction in one expression with two 3D vectors

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