Using a substitution to prove the forms of the general solution of 2nd order Differential Equations that come from the auxiliary quadratic equation.

Including inverse trig and hyperbolic function of a function expressions - not for the fainthearted!

Trigonometry. Introduction worksheet. Using transformations of sin x and cos x graphs to find maximums and minimums of trig expressions in alternative form

Hopefully this is an accessible geometric proof of the sin(A+B) and cos(A+B) formulae

Jigsaw Puzzle evaluating algebraic expressions

Jigsaw puzzle on the hyperbolic identities

Includes integration which results in inverse hyperbolics and inverse trig functions. (I've chosen to do this with definite integration instead of indefinite integration, so that the students can't solve the puzzle by differentiation of the solutions, they must integrate)

With brief solutions

Working out the third side in a right-angled triangle. In this puzzle, a and b are always the shorter sides, and c the hypotenuse. Non-exact answers are given to 3 s.f.

Including fractions and brackets

A few additional activities to keep your Further Maths students amused...

Jigsaw Puzzle solving two linear simultaneous equations (all integer solutions but including some negative solutions)

Interesting activity to keep your more able students amused when studying arcs and sectors

Simple jigsaw puzzle calculating area and circumference of circle from radius or diameter. All answers to 3 s.f.

Jigsaw puzzle calculating the area bounded by polar curves

With brief solutions

With brief solutions. These questions are really quite hard. I'd recommend using them for revision with your more able students.

With brief solutions

Jigsaw puzzle matching sequences with their nth term formula

Jigsaw puzzle about a particle projected on horizontal ground. I've deliberately left the units out of the answers because they would give too big a clue to how the puzzle fits together