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#### Resources tagged with Weekly Challenge similar to An Introduction to Mathematical Induction:

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### There are 39 results

Broad Topics > Collections > Weekly Challenge

### Weekly Challenge 34: Googol

##### Stage: 5 Short Challenge Level:

Find the smallest value for which a particular sequence is greater than a googol.

### Sixinit

##### Stage: 5 Short Challenge Level:

Choose any whole number n, cube it, add 11n, and divide by 6. What do you notice?

### Weekly Challenge 41: Happy Birthday

##### Stage: 5 Challenge Level:

A weekly challenge concerning the interpretation of an algorithm to determine the day on which you were born.

### Archimedes Numerical Roots

##### Stage: 5 Challenge Level:

How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

### Weekly Challenge 36: Seriesly

##### Stage: 5 Short Challenge Level:

Prove that k.k! = (k+1)! - k! and sum the series 1.1! + 2.2! + 3.3! +...+n.n!

### Weekly Challenge 35: Clickety Click and All the Sixes

##### Stage: 5 Short Challenge Level:

What is the sum of: 6 + 66 + 666 + 6666 ............+ 666666666...6 where there are n sixes in the last term?

### Inner Equality

##### Stage: 5 Short Challenge Level:

Can you solve this inequalities challenge?

### Weekly Challenge 44: Prime Counter

##### Stage: 5 Challenge Level:

A weekly challenge concerning prime numbers.

##### Stage: 5 Short Challenge Level:

Can you solve this problem involving powers and quadratics?

### Weekly Challenge 46: the Jabber-notty

##### Stage: 5 Challenge Level:

Can you invert this confusing sentence from Lewis Carrol?

### Weekly Challenge 38: Numbered Graph

##### Stage: 5 Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

### Weekly Challenge 12: Venn Diagram Fun

##### Stage: 5 Short Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

### Weekly Challenge 14: Mad Robot

##### Stage: 5 Short Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

### Weekly Challenge 23: Stand up Arcs

##### Stage: 4 and 5 Short Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

### Weekly Challenge 48: Quorum-sensing

##### Stage: 4 Short Challenge Level:

This problem explores the biology behind Rudolph's glowing red nose.

### AP Train

##### Stage: 5 Short Challenge Level:

An arithmetic progression is shifted and shortened, but its sum remains the same...

### Weekly Challenge 47: Weird Universes

##### Stage: 5 Challenge Level:

Consider these weird universes and ways in which the stick man can shoot the robot in the back.

### Weekly Challenge 43: A Close Match

##### Stage: 5 Challenge Level:

Can you massage the parameters of these curves to make them match as closely as possible?

### Weekly Challenge 22: Combinations of Two

##### Stage: 4 and 5 Short Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

### Weekly Challenge 31: Common Divisor

##### Stage: 5 Short Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

### Crazy Cannons

##### Stage: 5 Short Challenge Level:

Two cannons are fired at one another and the cannonballs collide... what can you deduce?

### The Right Volume

##### Stage: 5 Short Challenge Level:

Can you rotate a curve to make a volume of 1?

### Quick Sum

##### Stage: 5 Short Challenge Level:

Is this surd sum exactly 3?

### Weekly Challenge 15: Indexing Problems

##### Stage: 5 Short Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

### Trigger

##### Stage: 5 Short Challenge Level:

Can you sketch this tricky trig function?

### Weekly Challenge 37: Magic Bag

##### Stage: 5 Challenge Level:

A weekly challenge concerning combinatorical probability.

### Geometric Trig

##### Stage: 5 Short Challenge Level:

Trigonometry, circles and triangles combine in this short challenge.

### Top Marks

##### Stage: 5 Challenge Level:

Can you make all of these statements about averages true at the same time?

### Power Stack

##### Stage: 5 Short Challenge Level:

When you stack powers, how do you evaluate them?

### Weekly Challenge 18: the Root of the Problem

##### Stage: 5 Short Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

### Max Throw

##### Stage: 5 Short Challenge Level:

At what angle should you throw something to maximise the distance it travels?

### Cubic Roots

##### Stage: 5 Short Challenge Level:

Find the location of the point of inflection of this cubic.

### Weekly Challenge 29: Integral Equation

##### Stage: 5 Short Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

### Weekly Challenge 25: Trig Trig Trig

##### Stage: 5 Short Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

### Weekly Challenge 24: Suspicious Integrator

##### Stage: 5 Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students. What has happened with my online integrator?

### Weekly Challenge 21: Trig Identity

##### Stage: 4 and 5 Short Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

### Weekly Challenge 19: Prime Aps

##### Stage: 4 and 5 Short Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

### Weekly Challenge 30: the Sign of the Times

##### Stage: 5 Short Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.