This is part of our collection of favourite rich tasks arranged by topic.
If you are a teacher, you can find the whole collection on our Primary Curriculum teacher page.
Alternatively, if you are a student, you'll find the same problems on our Primary Curriculum student page.
Which comes next in each pattern of dominoes?
In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?
Find the next two dominoes in these sequences.
Can you complete this jigsaw of the 100 square?
Try continuing these patterns made from triangles. Can you create your own repeating pattern?
Daisy and Akram have made some number patterns. Can you find out which pattern is longer?
Create a pattern on the small grid. How could you extend your pattern on the larger grid?
What patterns can you make with a set of dominoes?
On Friday the magic plant was only 2 centimetres tall. Every day it doubled its height. How tall was it on Monday?
In this activity, shapes can be arranged by changing either the colour or the shape each time. Can you find a way to do it?
Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
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?
Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?
At the beginning of May, Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?
In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?
Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?
A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
How many possible symmetrical necklaces can you find? How do you know you've found them all?
