Exploring and noticing

There are 412 NRICH Mathematical resources connected to Exploring and noticing
Consecutive Numbers
problem
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Consecutive numbers

Age
7 to 14
Challenge level
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An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Writing Digits
problem
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Writing digits

Age
5 to 7
Challenge level
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Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?
Birthday Cakes
problem
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Birthday cakes

Age
5 to 7
Challenge level
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Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?
Got It
problem
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Got it

Age
7 to 14
Challenge level
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A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

The Brown Family
problem
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The brown family

Age
5 to 7
Challenge level
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Use the information about Sally and her brother to find out how many children there are in the Brown family.
Magic potting sheds
problem
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Magic potting sheds

Age
11 to 16
Challenge level
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Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?
100 Square Jigsaw
problem
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100 square jigsaw

Age
5 to 7
Challenge level
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Can you complete this jigsaw of the 100 square?
Connect Three
problem
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Connect three

Age
11 to 16
Challenge level
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In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
Treasure Hunt
problem
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Treasure hunt

Age
7 to 14
Challenge level
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Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
Going round in circles
problem
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Going round in circles

Age
11 to 14
Challenge level
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Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?