List

Measurement

Approaching Midnight
list

Approaching Midnight

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
problem
Favourite

Discuss and Choose

Age
5 to 11
Challenge level
filled star empty star empty 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.

Clocks
problem
Favourite

Clocks

Age
7 to 11
Challenge level
filled star empty star empty star

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

Brush Loads
problem
Favourite

Brush Loads

Age
7 to 11
Challenge level
filled star empty star empty 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.

Torn Shapes
problem
Favourite

Torn Shapes

Age
7 to 11
Challenge level
filled star empty star empty star
These rectangles have been torn. How many squares did each one have inside it before it was ripped?
Twice as Big?
problem
Favourite

Twice as Big?

Age
7 to 11
Challenge level
filled star empty star empty star

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

Area and perimeter
problem
Favourite

Area and perimeter

Age
7 to 11
Challenge level
filled star empty star empty star

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

Olympic Starters
problem
Favourite

Olympic Starters

Age
7 to 11
Challenge level
filled star empty star empty star

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

Dicey Perimeter, Dicey Area
game
Favourite

Dicey Perimeter, Dicey Area

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?
Wonky Watches
problem
Favourite

Wonky Watches

Age
7 to 11
Challenge level
filled star filled star empty 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.

Numerically Equal
problem
Favourite

Numerically Equal

Age
7 to 11
Challenge level
filled star filled star empty star

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

Two Clocks
problem
Favourite

Two Clocks

Age
7 to 11
Challenge level
filled star filled star empty star

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

How Much Did it Cost?
problem
Favourite

How Much Did it Cost?

Age
7 to 11
Challenge level
filled star filled star empty star

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

Oh! Harry!
problem
Favourite

Oh! Harry!

Age
7 to 11
Challenge level
filled star filled star empty star
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
Next size up
problem
Favourite

Next size up

Age
7 to 11
Challenge level
filled star filled star empty star

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

The time is ...
problem
Favourite

The time is ...

Age
7 to 11
Challenge level
filled star filled star empty star
Can you put these mixed-up times in order? You could arrange them in a circle.
Through the Window
problem
Favourite

Through the Window

Age
7 to 11
Challenge level
filled star filled star empty 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?

Number Lines in Disguise
problem
Favourite

Number Lines in Disguise

Age
7 to 14
Challenge level
filled star filled star empty star
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
Making Boxes
problem
Favourite

Making Boxes

Age
7 to 11
Challenge level
filled star filled star empty star

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

Watch the clock
problem
Favourite

Watch the clock

Age
7 to 11
Challenge level
filled star filled star filled 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
problem
Favourite

Fitted

Age
7 to 11
Challenge level
filled star filled star filled 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?

5 on the clock
problem
Favourite

5 on the clock

Age
7 to 11
Challenge level
filled star filled star filled 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?
Ribbon Squares
problem
Favourite

Ribbon Squares

Age
7 to 11
Challenge level
filled star filled star filled star

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