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Observing the Sun and the Moon

7 to 14

How does the time of dawn and dusk vary? What about the Moon, how does that change from night to night? Is the Sun always the same? Gather data to help you explore these questions.

\physNRICH
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physNRICH

PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics

The date January 7th on a flip calendar, with a purple background.
problem

Seven Flipped

7 to 11

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

Sitting round the party tables
problem
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Sitting Round the Party Tables

5 to 11

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

Square Pair Circles
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Square Pair Circles

16 to 18

Investigate the number of points with integer coordinates on circles with centres at the origin for which the square of the radius is a power of 5.

problem
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Sweets in a Box

7 to 11

How many different shaped boxes can you design for these sweets?

problem
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Caterpillars

5 to 7

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

Making Maths: Rolypoly
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Making Maths: Rolypoly

Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?
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