Venn Diagrams Age 5 to 11 Challenge Level: Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number. Light the Lights Age 5 to 7 Challenge Level: How have the numbers been placed in this Carroll diagram? A magician took a suit of thirteen cards and held them in his hand face down.

As you come down the ladders of the Tall Tower you collect useful spells. There are lots of ideas to explore in these sequences of ordered fractions. Diagonal Sums Age 7 to 11 Challenge Level: Add to Age 11 to 14 Challenge Level: Each of the different letters stands for a different number. Our Numbers Age 5 to 7 Challenge Level:

Number Match Age 5 to 11 Challenge Level: Choose any of the games above.

In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots poblem make a target. How would you create the largest possible two-digit even number from the digit I’ve given you and one of your choice? Take a look at some of these and try to explain why they are true. Reach Age 7 to 14 Challenge Level: Reasoned Rounding live Age 7 to 14 Challenge Level: Given that there were just four candidates and that the figures quoted were exact find the number of votes polled for each candidate.

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 3 dominoes? Use the differences to find the solution to this Sudoku.

# Working Systematically at KS2 :

Try out some calculations. All the Digits Age 7 to 11 Challenge Level: How Many Miles to Go? The winner keeps this score. This game introduces a decimal point. Consecutive Seven Age 11 to 14 Challenge Level: Read the four digits as a whole number.

## Place Value and Powers

Can you work out how? Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like? What Do You Need? Cut it Out Can you dissect an equilateral triangle into 6 smaller ones? Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

Light the Lights Age 5 to 7 Challenge Level: Take any four digit number.

# Nice or Nasty :

Who said that adding, subtracting, multiplying and dividing couldn’t be fun? What is the smallest number you can find that lights up all the lights?

How could you sort the cards? Can you put the numbers in the V shape so that both ‘arms’ have the same total? As you come down the ladders of the Tall Tower you collect useful spells.

## Place Value KS1

Can you sort out the clues and find the number? Venn Diagrams Age 5 to 11 Challenge Level: What was the last number she wrote? These short problems can be used to test your solvijg understanding of place value. To support this aim, members of the NRICH team pllace in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

Beads and Bags Age 5 to 11 Challenge Level: What happens when you change the position of the jigsaws?

Lee was writing all the counting numbers from 1 to