Using the information given, can you replace the stars in the calculation with figures? Cut it Out Can you dissect an equilateral triangle into 6 smaller ones? Use the interactivities to fill in these Carroll diagrams. Use the number weights to find different ways of balancing the equaliser. Try it for yourself. Four-digit Targets Age 7 to 11 Challenge Level:

Number Balance Age 5 to 7 Challenge Level: Powers of numbers behave in surprising ways. Inky Cube Age 7 to 14 Challenge Level: Dicey Operations Age 11 to 14 Challenge Level: Trebling Age 7 to 11 Challenge Level:

Tim had nine cards each with a different number from 1 to 9 on it.

Can you figure out what they were? There are nasty versions of this dice game but we’ll start with the nice ones Diagonal Sums Age 7 to 11 Challenge Level: Who said that adding couldn’t be fun? All 5 to 11 7 to 14 11 to 16 14 to 18 Challenge level: What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

Three people chose this as a favourite problem.

There are two possible scoring systems: Four strategy dice games to consolidate pupils’ understanding of rounding. Using the information given, can you replace the stars in the calculation with figures? What happens when you enter different numbers? Age 5 to vxlue Challenge Level: Who had made the highest even number? How many different ways can you do this? Are you surprised by the results?

Can you discover Buzzy’s pattern and fill in the empty cells for her? Largest Even Age 5 to 7 Challenge Level: Can you see who was the winner?

## Nice or Nasty

What do you notice about the numbers that it produces? Becky created a number plumber which multiplies by 5 and subtracts 4. By selecting digits for an addition grid, what targets can you make?

Alien Counting Age 7 to 11 Challenge Level: Writing Digits Age 5 to 7 Challenge Level: These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. You’ll probably want to change the scoring system. Then throw the dice four times each and work out how far each of you is from the target number. This time you can choose to keep your number and put it in one of your cells, OR give it to your partner and tell them which cell to put it in.

# Place Value and Powers :

Can you replace the letters with numbers? Who Can Be the Winner? There are 78 prisoners in a square cell block of twelve cells. These short problems can be used to test your students’ understanding of solvving value. Method in Multiplying Madness? What is the 2-digit number?

The numbers of the songs are displayed by combining special small single-digit cards.