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Resources tagged with Number - generally similar to Using Non-standard Problems to Challenge Pre-conceptions:

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Problem solving. Enrichment. Rich Tasks. Games. Mathematical Thinking. Place value. Questioning. Pedagogy. Learning mathematics. Number - generally.

There are 15 results

Broad Topics > Numbers and the Number System > Number - generally

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Multiplication Magic

Stage: 4 Challenge Level: Challenge Level:1

Given any 3 digit number you can use the given digits and name another number which is divisible by 37 (e.g. given 628 you say 628371 is divisible by 37 because you know that 6+3 = 2+7 = 8+1 = 9). . . .

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A Story about Absolutely Nothing

Stage: 2, 3, 4 and 5

This article for the young and old talks about the origins of our number system and the important role zero has to play in it.

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Novemberish

Stage: 4 Challenge Level: Challenge Level:1

a) A four digit number (in base 10) aabb is a perfect square. Discuss ways of systematically finding this number. (b) Prove that 11^{10}-1 is divisible by 100.

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Latin Numbers

Stage: 4 Challenge Level: Challenge Level:1

Let N be a six digit number with distinct digits. Find the number N given that the numbers N, 2N, 3N, 4N, 5N, 6N, when written underneath each other, form a latin square (that is each row and each. . . .

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More Mods

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

What is the units digit for the number 123^(456) ?

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The Secret World of Codes and Code Breaking

Stage: 2, 3 and 4

When you think of spies and secret agents, you probably wouldn’t think of mathematics. Some of the most famous code breakers in history have been mathematicians.

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Big and Small Numbers in Biology

Stage: 4 Challenge Level: Challenge Level:1

Work with numbers big and small to estimate and calulate various quantities in biological contexts.

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Black Box

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

This black box reveals random values of some important, but unusual, mathematical functions. Can you deduce the purpose of the black box?

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N000ughty Thoughts

Stage: 4 Challenge Level: Challenge Level:1

Factorial one hundred (written 100!) has 24 noughts when written in full and that 1000! has 249 noughts? Convince yourself that the above is true. Perhaps your methodology will help you find the. . . .

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Factorial

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

How many zeros are there at the end of the number which is the product of first hundred positive integers?

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Squaresearch

Stage: 4 Challenge Level: Challenge Level:1

Consider numbers of the form un = 1! + 2! + 3! +...+n!. How many such numbers are perfect squares?

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Euler's Officers

Stage: 4 Challenge Level: Challenge Level:1

How many different solutions can you find to this problem? Arrange 25 officers, each having one of five different ranks a, b, c, d and e, and belonging to one of five different regiments p, q, r, s. . . .

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Largest Product

Stage: 3 and 4 Challenge Level: Challenge Level:1

Which set of numbers that add to 10 have the largest product?

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Find the Fake

Stage: 4 Challenge Level: Challenge Level:1

There are 12 identical looking coins, one of which is a fake. The counterfeit coin is of a different weight to the rest. What is the minimum number of weighings needed to locate the fake coin?

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Mod 3

Stage: 4 Challenge Level: Challenge Level:1

Prove that if a^2+b^2 is a multiple of 3 then both a and b are multiples of 3.