Questions with brief solutions

A matching activity that matches up hypotheses/significance levels, critical regions, graphs of critical regions, and the probabilities associated with the critical regions.

This is a short investigation using graphing software to investigate how the gradient of exponential graphs y=a^x, a>1 changes with y. By establishing direct proportionality it then allows for e to be introduced as the value for which the constant of proportionality is 1.

Proving the suvat formulae

Conservation of momentum

Powerpoint presentation on Newton's Laws including F=ma

Vertical Circular Motion questions on conditions for particle to complete full circles. Brief solutions only.

Jigsaw Puzzle on finding the determinants of 2 by 2 and 3 by 3 matrices

Powerpoint covering definitions needed

Jigsaw looking at how the exponential and natural log functions are inverses, how you 'cancel' them

Jigsaw puzzle on parametric differentiation

Brief solutions only

Example and Exercise with brief solutions

With brief solutions only

Notes on loci in the complex plane

To Binomial and Poisson

Jigsaw matching numbers written in words with numbers written as digits but mainly numbers in the thousands, e.g. matching 1201 with one thousand two hundred and one

Jigsaw puzzle on using normal tables to work out probabilities when given mean and variance (no questions on 'working backwards')

Jigsaw puzzle using the table of percentage points (working backwards) with the normal distribution including working out mean and standard deviation

Simple examples and exercise to introduce loci in the complex plane