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Broad Topics > Collections > Weekly Challenge

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Weekly Challenge 23: Stand up Arcs

Stage: 4 and 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 22: Combinations of Two

Stage: 4 and 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 48: Quorum-sensing

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

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

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Weekly Challenge 34: Googol

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

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

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Weekly Challenge 8: Sixinit

Stage: 5 Short Challenge Level: Challenge Level:1

Choose any whole number n, cube it and add 11n. Is the answer always divisible by 6? If so why?

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Weekly Challenge 16: Archimedes Numerical Roots

Stage: 5 Challenge Level: Challenge Level:1

The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

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Weekly Challenge 36: Seriesly

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 35: Clickety Click and All the Sixes

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 47: Weird Universes

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Weekly Challenge 1: Inner Equality

Stage: 4 and 5 Short Challenge Level: Challenge Level:1

Our first weekly challenge. We kick off with a challenge concerning inequalities.

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Weekly Challenge 6: AP Train

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 30: the Sign of the Times

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

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

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Weekly Challenge 27: Cubic Roots

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 38: Numbered Graph

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

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

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Weekly Challenge 29: Integral Equation

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 5: Trigger

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 41: Happy Birthday

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

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

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Weekly Challenge 37: Magic Bag

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

A weekly challenge concerning combinatorical probability.

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Weekly Challenge 7: Gradient Match

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 25: Trig Trig Trig

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

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

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Weekly Challenge 26: Max Throw

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

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

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Weekly Challenge 33: Crazy Cannons

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

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

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Weekly Challenge 14: Mad Robot

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 19: Prime Aps

Stage: 4 and 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 12: Venn Diagram Fun

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 3: Geometric Trig

Stage: 5 Short Challenge Level: Challenge Level:1

A weekly challenge concerning trigonometry, circles and triangles.

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Weekly Challenge 21: Trig Identity

Stage: 4 and 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 31: Common Divisor

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 2: Quad Solve

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

A weekly challenge concerning powers and quadratic equations.

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Weekly Challenge 9: Quick Sum

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 17: Power Stack

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 15: Indexing Problems

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 18: the Root of the Problem

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 4: Top Marks

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

A weekly challenge concerning statistics and averaging.

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Weekly Challenge 24: Suspicious Integrator

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

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

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Weekly Challenge 46: the Jabber-notty

Stage: 5 Challenge Level: Challenge Level:1

Can you invert this confusing sentence from Lewis Carrol?

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Weekly Challenge 28: the Right Volume

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Weekly Challenge 44: Prime Counter

Stage: 5 Challenge Level: Challenge Level:1

A weekly challenge concerning prime numbers.

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Weekly Challenge 43: A Close Match

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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


The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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