# Resource Title search

### 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?

### Quad Match

##### Age 7 to 11 Challenge Level:

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

### Quad Solve

##### Age 16 to 18 Short Challenge Level:

Can you solve this problem involving powers and quadratics?

### 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. . . .

### 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.

### Quadratic Patterns

##### Age 11 to 14 Challenge Level:

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

### 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?

### 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?

### Quadrilaterals

##### Age 7 to 11 Challenge Level:

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

### 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. . . .

### Quadrilaterals in a Square

##### Age 11 to 14 Challenge Level:

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

### 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.

### Quadruple Sudoku

##### Age 11 to 16 Challenge Level:

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

### Quantum Scholars at the University of Roehampton

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

### 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?

### Quarters, Quarters

##### Age 7 to 11 Challenge Level:

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

### 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.

### 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.

### 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.

### Question De Chaudières

##### Age 7 to 11 Challenge Level:

"Buckets Of Thinking" en Français

### Question of Three Sides

##### Age 14 to 16 Short Challenge Level:

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

### Queue

##### Age 5 to 7 Challenge Level:

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

### Queueing

##### Age 3 to 5 Challenge Level:

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

### 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?

### Quick Sum

##### Age 16 to 18 Short Challenge Level:

Is this surd sum exactly 3?

### 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.

### Quick Ways In....

##### Age 5 to 11

teacher short articles

### 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?

### Quiz Questions

##### Age 11 to 14 Short Challenge Level:

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

### Quorum-sensing

##### Age 16 to 18 Short Challenge Level:

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