### NRICH PROBLEM SOLVING MEASURES KS1

This challenge is about finding the difference between numbers which have the same tens digit. What do you think is going to happen in this video clip? Can you prove that the sum of the distances of any point inside a square from its sides is always equal half the perimeter? Grandma found her pie balanced on the scale with two weights and a quarter of a pie. Long Creatures Age 3 to 5 This activity focuses on making long creatures out of card to compare with each other.

Mouhefanggai Age 14 to 16 Imagine two identical cylindrical pipes meeting at right angles and think about the shape of the space which belongs to both pipes. Try grouping the dominoes in the ways described. Can you use this information to estimate how much the different fruit selections weigh in kilos and pounds? 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. Can you work out the dimensions of the three cubes? What do you notice?

Can you prove it to be true for a rectangle or a hexagon? In this calculation, the box represents a missing digit. These pictures show some different activities that you may get up to during a day.

Swap them around and see if you can find a combination where every measurement is valid. Talk to your friends about how you work them out. Age 5 to 11 Challenge Level: This feature brings together tasks which make use of interlocking cubes.

What could the digit be? These lower primary tasks could all be tackled using a trial and improvement approach. Use these four dominoes to make a square that has the same number of dots on each side. The Earth is further from the Sun than Venus, but how much further?

Age 11 to 14 Challenge Level: In the second article, Jennie offers you practical ways to investigate aspects of your classroom culture and in the third article, she suggests three ways in which we can support children in becoming competent problem solvers.

Measurement Age 5 to 7 These lower primary activities are all about measuring. Eggs in Baskets Age 5 to 7 Challenge Level: Swap them around and see if you can find a combination where every measurement is valid.

# Problem Solving :

Fractions Unpacked – Progression in Fractions Through Problem Solving Age 5 to 11 The tasks in this group reflect a progression of ideas associated with fractions but crucially also offer opportunities for learners to develop their problem-solving and reasoning skills. Sweets are given out to party-goers in a particular way. Chocolate Cake Age 11 to 14 Challenge Level: What is the volume of the solid formed by rotating this right angled triangle about the hypotenuse?

The tasks in this collection encourage children to create, recognise, extend and explain number patterns. Use the number weights to find different ways of balancing the equaliser. Register for our mailing list. Here are some short problems for you to try. The upper primary tasks in this collection could each be solved by working backwards. Ben and his mum are planting garlic.

Pies Age 7 to 11 Challenge Level: Ladybirds in the Garden Age 5 to 7 Challenge Level: Timing using non-standard and standard devices. Do You Measure Up?

Compare the results for Which rod is twice the length of his first rod? These Olympic quantities have been jumbled up!

## Estimating, Comparing, Measuring KS1

These watermelons have been entered into a competition. One day five small animals in my garden were going to have a sports day. We went to the cinema and decided to buy some bags of popcorn so we asked about the prices. Find all the numbers that can be made by adding the dots on two dice.