Ordering Cards Age 5 to 11 Challenge Level: Pick any ten numbers from the bags above so that their total is Add the two numbers on the red dice and take away the number on the green. Zios and Zepts Age 7 to 11 Challenge Level: 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? How might you show them in a picture, with things, with numbers and symbols?

Can you prove it? Tim had nine cards each with a different number from 1 to 9 on it. What could the half time scores have been in these Olympic hockey matches? 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. Ten cards are put into five envelopes so that there are two cards in each envelope. Fitted Age 7 to 11 Challenge Level: Half Time Age 5 to 11 Challenge Level:

Try with different steps and see if you can predict what will happen. This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

What is the problej ‘ribbon square’ you can make? Use the maps to work out the number of points each of their routes scores.

# Ratio and Proportion KS2 :

The tasks in this collection encourage lower primary children to conjecture and generalise. Count the Digits Age 5 to 11 Challenge Level: What numbers could be inside the envelopes?

Mystery Matrix Age 7 to 11 Challenge Level: How many different trains can you make? Can you untangle what fractional part is represented by each of the shapes? 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?

Register for our mailing list. These rectangles have been torn. Investigate the total number of sweets received by people sitting in different positions.

This dice train has been made using specific rules. Can you find any two-digit numbers that satisfy all of these statements?

## Working Systematically at KS2

Can you fill in this table square? This big box multiplies anything that goes inside it by the same number. Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

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.

# Working Systematically at KS2 :

There is a clock-face where the numbers have become all mixed up. 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. Place four pebbles on the sand in the form of a square. Can you work out the table and the shift each time?

Tea Cups Age 7 to 14 Challenge Level: They are each holding k2 card with a number on it. Dice in a Corner Age 7 to 11 Challenge Level: This multiplication uses each of the digits 0 – 9 once and once only.

Trebling Age 7 to 11 Challenge Level: Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number. What could Problfm have paid for the balloon? This problem challenges you to create shapes with different areas and perimeters. Subtraction Surprise Age 7 to 14 Challenge Level: Are these statements always true, sometimes true or never true?

Multiplication Squares Age 7 to 11 Challenge Level: Ten cards are put into five envelopes so that there are two cards in each envelope.

One quarter of these coins are heads but when I turn over two coins, one third are heads.