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Jacob's Flock

Age 11 to 14 Short Challenge Level:

How many sheep are in Jacob's flock?

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Jam

Age 14 to 16 Challenge Level:

To avoid losing think of another very well known game where the patterns of play are similar.

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Jam

Age 14 to 16 Challenge Level:

A game for 2 players

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Jam and Egg Sandwich

Age 11 to 14 Short Challenge Level:

How many solutions can you find to this sum? Each of the different letters stands for a different number.

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James's Code Challenge

Age 7 to 18 Challenge Level:

The Enigma Project's James Grime has created a video code challenge. Watch it here!

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Janine's Conjecture

Age 14 to 16 Challenge Level:

Janine noticed, while studying some cube numbers, that if you take three consecutive whole numbers and multiply them together and then add the middle number of the three, you get the middle number. . . .

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January TWILGO Challenge

Age 7 to 18 Challenge Level:

It's Olympic year - can you construct the icon of the Olympic Rings using Twilgo?

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Janusz Asked

Age 16 to 18 Challenge Level:

In y = ax +b when are a, -b/a, b in arithmetic progression. The polynomial y = ax^2 + bx + c has roots r1 and r2. Can a, r1, b, r2 and c be in arithmetic progression?

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Jaunts Into Geometry

Age 5 to 11

This feature will help you embed the three aims of the curriculum into the teaching and learning of geometry.

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Jenny's Logic

Age 11 to 14 Short Challenge Level:

Weekly Problem 52 - 2009
How did Jenny figure out that Tom's cards added to an even number?

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Jewellery Boxes

Age 14 to 16 Short Challenge Level:

Can you find the value of the jewels?

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Jig Shapes

Age 5 to 11 Challenge Level:

Can you each work out what shape you have part of on your card? What will the rest of it look like?

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Jigsaw Pieces

Age 7 to 11 Challenge Level:

How will you go about finding all the jigsaw pieces that have one peg and one hole?

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Jluuis or Even Asutguus?

Age 16 to 18 Challenge Level:

Sixth challenge cipher

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Jo Boaler Explains Complex Instruction

Age 5 to 18 Challenge Level:

A video clip of Jo Boaler talking about Complex Instruction.

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John's Train Is on Time

Age 11 to 14 Challenge Level:

A train leaves on time. After it has gone 8 miles (at 33mph) the driver looks at his watch and sees that the hour hand is exactly over the minute hand. When did the train leave the station?

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Jomista Mat

Age 7 to 11 Challenge Level:

Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?

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Journey to School

Age 11 to 16 Challenge Level:

How risky is your journey to school?

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Journeys

Age 7 to 11 Challenge Level:

Investigate the different distances of these car journeys and find out how long they take.

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Journeys in Numberland

Age 7 to 11 Challenge Level:

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

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Journeys of Discovery

Age 11 to 18 Challenge Level:

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Journeys of Discovery

Age 11 to 18

Journey into new and exciting territory!

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Journeys on the Gattegno Tens Chart

Age 5 to 11

Alf describes how the Gattegno chart helped a class of 7-9 year olds gain an awareness of place value and of the inverse relationship between multiplication and division.

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JP EEA Elements of Developing

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JP EEA Research Articles

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Jugs of Wine

Age 11 to 14 Challenge Level:

You have four jugs of 9, 7, 4 and 2 litres capacity. The 9 litre jug is full of wine, the others are empty. Can you divide the wine into three equal quantities?

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Jump Into Geometry

Age 5 to 7

These lower primary tasks all involve geometry - describing and sorting shapes, turning (or angles) and pattern.

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Jump Into Geometry

Age 7 to 11

These upper primary tasks all involve geometry - describing, constructing, reflecting, rotating or translating shapes along with angles.

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Jumping

Age 7 to 11 Challenge Level:

After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

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Jumping Cricket

Age 5 to 7 Challenge Level:

El Crico the cricket has to cross a square patio to get home. He can jump the length of one tile, two tiles and three tiles. Can you find a path that would get El Crico home in three jumps?

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Jumping Gerbils

Age 14 to 16 Challenge Level:

A conveyor belt, with tins placed at regular intervals, is moving at a steady rate towards a labelling machine. A gerbil starts from the beginning of the belt and jumps from tin to tin.

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Jumping Reindeer

Age 7 to 11 Challenge Level:

A game for 1 person to develop stategy and shape and space awareness. 12 counters are placed on a board. Counters are removed one at a time. The aim is to be left with only 1 counter.

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Jumping Squares

Age 5 to 7 Challenge Level:

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

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June 2012 Front Page

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. . . .

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June 2019 Webinars for Students Age 9-13

Details of the June 2019 webinar

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Junior Frogs

Age 5 to 11 Challenge Level:

Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?

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Just Four Numbers

Age 5 to 11 Challenge Level:

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Just Opposite

Age 14 to 16 Challenge Level:

A and C are the opposite vertices of a square ABCD, and have coordinates (a,b) and (c,d), respectively. What are the coordinates of the vertices B and D? What is the area of the square?

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Just Repeat

Age 11 to 14 Challenge Level:

Think of any three-digit number. Repeat the digits. The 6-digit number that you end up with is divisible by 91. Is this a coincidence?

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Just Rolling Round

Age 14 to 16 Challenge Level:

P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?

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Just Touching

Age 16 to 18 Challenge Level:

Three semi-circles have a common diameter, each touches the other two and two lie inside the biggest one. What is the radius of the circle that touches all three semi-circles?