April 2006, All Stages

Problems

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Path to Where?

Stage: 1 Challenge Level: Challenge Level:1

Can you imagine where I could have walked for my path to look like this?

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Time Line

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Describe what Emma might be doing from these pictures of clocks which show important times in her day.

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Tables Without Tens

Stage: 2 Challenge Level: Challenge Level:1

Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.

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You Tell the Story

Stage: 2 Challenge Level: Challenge Level:1

Can you create a story that would describe the movement of the man shown on these graphs? Use the interactivity to try out our ideas.

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Two Clocks

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

These clocks have only one hand, but can you work out what time they are showing from the information?

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Take Your Dog for a Walk

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Use the interactivity to move Mr Pearson and his dog. Can you move him so that the graph shows a curve?

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How Far Does it Move?

Stage: 3 Challenge Level: Challenge Level:1

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

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Decimal Time

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Use the clocks to investigate French decimal time in this problem. Can you see how this time system worked?

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Speeding Up, Slowing Down

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its speed at each stage.

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Up and Across

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

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its vertical and horizontal movement at each stage.

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Motion Sensor

Stage: 4 Challenge Level: Challenge Level:1

Looking at the graph - when was the person moving fastest? Slowest?

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Steady Free Fall

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

Can you adjust the curve so the bead drops with near constant vertical velocity?

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Symmetric Trace

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Points off a rolling wheel make traces. What makes those traces have symmetry?

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Quick Route

Stage: 5 Challenge Level: Challenge Level:1

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

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Out in Space

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

A space craft is ten thousand kilometres from the centre of the Earth moving away at 10 km per second. At what distance will it have half that speed?

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Towards Maclaurin

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

Build series for the sine and cosine functions by adding one term at a time, alternately making the approximation too big then too small but getting ever closer.

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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