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Advanced mathematics

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For younger learners

  • Early Years Foundation Stage

Measurement

These activities are part of our Primary collections, which are problems grouped by topic.

Approaching MidnightLive

Age 7 to 14

Here's a strategy game with lots to explore. Can you find out enough to guarantee a win, no matter what the settings?

Discuss and Choose

Age 5 to 11
Challenge Level Yellow star

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

Dicey Perimeter, Dicey Area

Age 7 to 11
Challenge Level Yellow star

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?

Area and Perimeter

Age 7 to 11
Challenge Level Yellow star

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

Brush Loads

Age 7 to 11
Challenge Level Yellow star

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

Car Journey

Age 7 to 11
Challenge Level Yellow star

This practical activity involves measuring length/distance.

Torn Shapes

Age 7 to 11
Challenge Level Yellow star

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

Twice as Big?

Age 7 to 11
Challenge Level Yellow star

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

Clocks

Age 7 to 11
Challenge Level Yellow star

These clocks have been reflected in a mirror. What times do they say?

Olympic Starters

Age 7 to 11
Challenge Level Yellow star

Look at some of the results from the Olympic Games in the past. How do you compare if you try some similar activities?

Making Boxes

Age 7 to 11
Challenge Level Yellow starYellow star

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

Next Size Up

Age 7 to 11
Challenge Level Yellow starYellow star

The challenge for you is to make a string of six (or more!) graded cubes.

Two Clocks

Age 7 to 11
Challenge Level Yellow starYellow star

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

Through the Window

Age 7 to 11
Challenge Level Yellow starYellow star

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

Wonky Watches

Age 7 to 11
Challenge Level Yellow starYellow star

Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.

The Time Is ...

Age 7 to 11
Challenge Level Yellow starYellow star

Can you put these mixed-up times in order? You could arrange them in a circle.

Numerically Equal

Age 7 to 11
Challenge Level Yellow starYellow star

Can you draw a square in which the perimeter is numerically equal to the area?

How Much Did it Cost?

Age 7 to 11
Challenge Level Yellow starYellow star

Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.

Oh! Harry!

Age 7 to 11
Challenge Level Yellow starYellow star

A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?

Number Lines in Disguise

Age 7 to 14
Challenge Level Yellow starYellow star

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

5 on the Clock

Age 7 to 11
Challenge Level Yellow starYellow starYellow star

On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

Watch the Clock

Age 7 to 11
Challenge Level Yellow starYellow starYellow star

During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

Fitted

Age 7 to 11
Challenge Level Yellow starYellow starYellow star

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

Ribbon Squares

Age 7 to 11
Challenge Level Yellow starYellow starYellow star

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?

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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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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