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Quad in Quad

Age 14 to 16 Challenge Level:

Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?

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Quad Match

Age 7 to 11 Challenge Level:

A task which depends on members of the group noticing the needs of others and responding.

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Quad Solve

Age 16 to 18 Short Challenge Level:

Can you solve this problem involving powers and quadratics?

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Quadarc

Age 14 to 16 Challenge Level:

Given a square ABCD of sides 10 cm, and using the corners as centres, construct four quadrants with radius 10 cm each inside the square. The four arcs intersect at P, Q, R and S. Find the. . . .

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Quadratic Harmony

Age 16 to 18 Challenge Level:

Find all positive integers a and b for which the two equations: x^2-ax+b = 0 and x^2-bx+a = 0 both have positive integer solutions.

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Quadratic Patterns

Age 11 to 14 Challenge Level:

Surprising numerical patterns can be explained using algebra and diagrams...

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Quadratic Rotation

Age 14 to 16 Short Challenge Level:

The curve $y=x^2−6x+11$ is rotated through $180^\circ$ about the origin. What is the equation of the new curve?

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Quadrature of the Lunes

Age 16 to 18 Challenge Level:

A lune is the area left when part of a circle is cut off by another circle. Can you work out the area?

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Quadrilaterals

Age 7 to 11 Challenge Level:

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

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Quadrilaterals Game

Age 11 to 14 Challenge Level:

A game for 2 or more people, based on the traditional card game Rummy. Players aim to make two `tricks', where each trick has to consist of a picture of a shape, a name that describes that shape, and. . . .

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Quadrilaterals in a Square

Age 11 to 14 Challenge Level:

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

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Quadruple Clue Sudoku

Age 11 to 16 Challenge Level:

Four numbers on an intersection that need to be placed in the surrounding cells. That is all you need to know to solve this sudoku.

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Quadruple Sudoku

Age 11 to 16 Challenge Level:

Four small numbers give the clue to the contents of the four surrounding cells.

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Quantum Scholars at the University of Roehampton

Resources to accompany Charlie's workshop with teachers from overseas.

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Quarters

Age 14 to 16 Short Challenge Level:

Weekly Problem 27 - 2014
Four congruent isosceles trapezia are placed in a square. What fraction of the square is shaded?

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Quarters, Quarters

Age 7 to 11 Challenge Level:

An activity causing pupils to seriously consider and create ways of quartering shapes.

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Quartics

Age 16 to 18 Challenge Level:

Investigate the graphs of y = [1 + (x - t)^2][1 + (x + t^)2] as the parameter t varies.

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Quaternions and Reflections

Age 16 to 18 Challenge Level:

See how 4 dimensional quaternions involve vectors in 3-space and how the quaternion function F(v) = nvn gives a simple algebraic method of working with reflections in planes in 3-space.

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Quaternions and Rotations

Age 16 to 18 Challenge Level:

Find out how the quaternion function G(v) = qvq^-1 gives a simple algebraic method for working with rotations in 3-space.

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Question De Chaudières

Age 7 to 11 Challenge Level:

"Buckets Of Thinking" en Français

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Question of Three Sides

Age 14 to 16 Short Challenge Level:

Can you find the length of the third side of this triangle?

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Queue

Age 5 to 7 Challenge Level:

25 students are queuing in a straight line. How many are there between Julia and Jenny?

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Queueing

Age 3 to 5 Challenge Level:

This resource explores the rich mathematics in activities for young children involing queues.

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Quick Route

Age 16 to 18 Challenge Level:

What is the quickest route across a ploughed field when your speed around the edge is greater?

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Quick Sum

Age 16 to 18 Short Challenge Level:

Is this surd sum exactly 3?

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Quick Times

Age 11 to 14 Challenge Level:

32 x 38 = 30 x 40 + 2 x 8; 34 x 36 = 30 x 40 + 4 x 6; 56 x 54 = 50 x 60 + 6 x 4; 73 x 77 = 70 x 80 + 3 x 7 Verify and generalise if possible.

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Quick Ways In....

Age 5 to 11

teacher short articles

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Quiz Question

Age 11 to 14 Short Challenge Level:

Can you work out how many quizzes have to be played before we have a winner?

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Quiz Questions

Age 11 to 14 Short Challenge Level:

Jack does a 20-question quiz. How many questions didn't he attempt?

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Quorum-sensing

Age 16 to 18 Short Challenge Level:

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