Search by Topic

Filter by: Content type:
Age range:
Challenge level:

There are 13 results

Broad Topics > Calculus > Integration

Normal Intersection

Age 16 to 18 Challenge Level:

Explore the intersection possibilities for normal pdfs.

Curved Square

Age 16 to 18 Challenge Level:

Can you find the area of the central part of this shape? Can you do it in more than one way?

The Monte Carlo Method

Age 16 to 18 Challenge Level:

Estimate areas using random grids

Harmonically

Age 16 to 18 Challenge Level:

Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?

Integral Equation

Age 16 to 18 Challenge Level:

Solve this integral equation.

Area L

Age 16 to 18 Challenge Level:

By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?

Calculus Countdown

Age 16 to 18 Challenge Level:

Can you hit the target functions using a set of input functions and a little calculus and algebra?

Operating Machines

Age 16 to 18 Challenge Level:

What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?

Integration Matcher

Age 16 to 18 Challenge Level:

Can you match the charts of these functions to the charts of their integrals?

Age 16 to 18 Short Challenge Level:

Sort these mathematical propositions into a series of 8 correct statements.

Integral Arranging

Age 16 to 18 Challenge Level:

How would you sort out these integrals?

Integral Inequality

Age 16 to 18 Challenge Level:

An inequality involving integrals of squares of functions.

Integral Sandwich

Age 16 to 18 Challenge Level:

Generalise this inequality involving integrals.