Place the number puzzles

Instructions These problems can either be displayed for a whole class on a smart board or data projector. Students could be given the file and “play” with each puzzle in edit mode by selecting and moving the textboxes containing the numbers. (they can’t move the numbers in view-show mode)

HAITCH Use the numbers 1 to 7, once only so that all three lines have the same total. How many different possibilities are there? Prove that 6 and 7 cannot be in the same line. Prove that the centre of the H must be even

CROSS CUT Use the numbers 1 to 6, once only The row of 3 must add up to the column of 4 Prove that the centre number must be odd How many different solutions are there?

IT ADDS UP Use the numbers 1 to 5, once only The row of 3 must add up to the column of 3 Prove that the centre number must be odd How many different solutions are there? 12345

EQUALIZING Use the numbers 1 to 6 once only Line totals must be equal Establish that there are only 4 solutions Prove that the numbers 1 and 6 must be together

DEDUCT & DEDUCE Use the numbers 1 to 6 once only. Each circle is the positive difference between the two circles below it. Prove that there are only four different ways of doing this if reflections are not counted

Number Go Round Place the numbers 1 to 8 in each space so that all sums are correct == += 78 MAV

Number Tiles Place the numbers 1 to 9 onto the squares so that they make a correct addition sum MAV

Arithmagon 1 The number in the square is the sum of the two circle numbers Can you place the correct numbers MAV

Arithmagon 1 The number in the square is the sum of the two circle numbers Can you place the correct numbers MAV

Arithmagon 1 The number in the square is the sum of the two circle numbers Can you place the correct numbers MAV

Arithmagon 1 The number in the square is the sum of the two circle numbers Can you place the correct numbers MAV

1 to Place the numbers from 1 through 19 in the circles so that the numbers in every 3 circles on a straight line total 30.