Your Solutions - Stage 4 & 5

Wipeout

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you do a little mathematical detective work to figure out which number has been wiped out?

Quadrilaterals in a Square

Stage: 4 Challenge Level: Challenge Level:1

What's special about the area of quadrilaterals drawn in a square?

Garden Shed

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you minimise the amount of wood needed to build the roof of my garden shed?

Square Number Surprises

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

There are unexpected discoveries to be made about square numbers...

Growing Surprises

Stage: 4 Challenge Level: Challenge Level:1

Can you find the connections between linear and quadratic patterns?

The Quintessential Proof

Stage: 5 Challenge Level: Challenge Level:1

In this resource, the aim is to understand a fundamental proof of Pythagoras's Theorem.

Finding Circles

Stage: 5 Challenge Level: Challenge Level:1

Can you find the centre and equation of a circle given a number of points on the circle? When is it possible and when is it not?

The Circle of Apollonius... Coordinate Edition

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you sketch and then find an equation for the locus of a point based on its distance from two fixed points?

Equation or Identity (1)

Stage: 5 Challenge Level: Challenge Level:1

Which of these equations concerning the angles of triangles are always true?

Have a Sine

Stage: 5 Challenge Level: Challenge Level:1

There's much more to trigonometry than sin, cos and tan...

Irrational Roots

Stage: 5 Challenge Level: Challenge Level:1

You're used to working with quadratics with integer roots, but what about when the roots are irrational?

Name That Graph Again

Stage: 5 Challenge Level: Challenge Level:1

If you know some information about a parabola, can you work out its equation?

Slippery Slopes

Stage: 5 Challenge Level: Challenge Level:1

When you transform a function, what can you work out about the gradient?

Which Parabola?

Stage: 5 Challenge Level: Challenge Level:1

Can you work out the equations of all these mixed up parabolas?

Integral Chasing

Stage: 5 Challenge Level: Challenge Level:1

Can you find the missing constants from these not-quite-so-obvious definite integrals?

Designing a Polynomial

Stage: 5 Challenge Level: Challenge Level:1

Can you find a polynomial function whose first derivative is equal to the function?