Choose four different digits from and put one in each box so that the resulting four two-digit numbers add to a total of Age 11 to 14 Challenge Level: Stuart’s watch loses two minutes every hour. My number is both a multiple of 5 and a multiple of 6. Four bags contain a large number of 1s, 3s, 5s and 7s. Can you complete this jigsaw of the multiplication square? I cut this square into two different shapes.

Subtraction Surprise Age 7 to 14 Challenge Level: Use the information to find out how long each road is on the route she took. Use the maps to work out the number of points each of their routes scores. Swimmers in opposite directions cross at 20m and at 30m from each end of a swimming pool. Measure problems at primary level that may require resilience. Lolla bought a balloon at the circus. Age 7 to 11 Working Backwards at KS2 The upper primary tasks in this collection could each be solved by working backwards.

Display Boards Age 7 to 11 Challenge Level: Odd Squares Age 7 to 11 Challenge Level: Four on the Road Age 14 to 16 Challenge Level: Mrs Morgan, the class’s teacher, pinned numbers onto the backs of three children.


Problem-solving Skills :

You are organising a school trip and you need to write a letter to parents to let them know about the day. Multiplication and Division KS2. All the Digits Age 7 to 11 Challenge Level: Tea Cups Age 7 to 14 Challenge Level: Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle.

Prison Cells Age 7 to 11 Challenge Level: What was the total and how could this be done?

Working Systematically at KS2 :

What do they mean? And how do you know you’ve found them all?

problem solving activities ks2 nrich

Journeys in Numberland Age 7 to 11 Challenge Level: How Do You Do Acitvities What happens if you join every second point on this circle? How many different ways can you do it?

Is problem solving at the heart of your curriculum? This challenge is a game for two players.

problem solving activities ks2 nrich

Paradoxes Age 7 to 14 A paradox is a statement that seems to be both untrue and true at the same time. The great planetary explorer Nico counted 52 legs. Age 7 to 11 Trial and Improvement at KS2 These upper primary tasks could all be tackled using a trial and improvement approach. Can you find the smallest number that lights up all four lights?


All in nroch Jumble Age 11 to 14 Challenge Level: Many opportunities to work in different ways. Can you put these mixed-up times in order?

problem solving activities ks2 nrich

Can you order the digits from to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on? Activigies these statements always true, sometimes true or never true?

Problem-solving Skills

What do you activitiew Explore Alex’s number plumber. This problem is designed to help children to learn, and to use, the two and three times tables. Look at different ways of dividing things. Do You Measure Up?

How many times like this are there between midnight and 7 a. These rectangles have been torn.