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Resources tagged with Weekly Challenge similar to Weekly Challenge 16: Archimedes Numerical Roots:

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Broad Topics > Collections > Weekly Challenge

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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 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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Quad Solve

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

Can you solve this problem involving powers and quadratics?

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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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Sixinit

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Inner Equality

Stage: 5 Short Challenge Level: Challenge Level:1

Can you solve this inequalities challenge?

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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 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 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 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 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 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 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 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 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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AP Train

Stage: 5 Short Challenge Level: Challenge Level:1

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

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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?

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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 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 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 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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Gradient Match

Stage: 5 Short Challenge Level: Challenge Level:1

What can you deduce about the gradients of curves linking (0,0), (8,8) and (4,6)?

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Quick Sum

Stage: 5 Short Challenge Level: Challenge Level:1

Is this surd sum exactly 3?

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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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Trigger

Stage: 5 Short Challenge Level: Challenge Level:1

Can you sketch this tricky trig function?

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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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Geometric Trig

Stage: 5 Short Challenge Level: Challenge Level:1

Trigonometry, circles and triangles combine in this short challenge.

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Top Marks

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

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

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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 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 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 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 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 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 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 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 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 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.