Transcript Place the number puzzles - Hench-maths

Place the number puzzles
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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
1
2
3
• 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.
4
5
6
7
CROSS CUT
1
2
3
• 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?
4
5
6
IT ADDS UP
1
2
3
• 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?
4
5
EQUALIZING
1
2
3
• 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
4
5
6
DEDUCT & DEDUCE
1
2
3
• 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.
4
5
6
Number Go Round
1
2
3
4
5
6
7
8
• Place the numbers 1
to 8 in each space so
that all sums are
correct
-
+
=
=
+
MAV
-
=
Number Tiles
1
2
5
6 7 8
3
4
9
Place the numbers 1 to
9 onto the squares so
that they make a
correct addition sum
MAV
Arithmagon 1
1
2
3
4
7
8
9
10
• The number in the
square is the sum
of the two circle
numbers
• Can you place the
correct numbers
MAV
5
6
9
Arithmagon 1
1
2
3
4
7
8
9
10
• The number in the
square is the sum
of the two circle
numbers
• Can you place the
correct numbers
MAV
5
6
13
Arithmagon 1
1
2
3
4
7
8
9
10
• The number in the
square is the sum
of the two circle
numbers
• Can you place the
correct numbers
MAV
5
6
4
Arithmagon 1
1
2
3
4
7
8
9
10
• The number in the
square is the sum
of the two circle
numbers
• Can you place the
correct numbers
MAV
5
6
11
1 to 19
Place the numbers from 1 through
19 in the circles so that the
numbers in every 3 circles on a
straight line total 30.
1
7
13
2
8
14
1
3
9
15
1
4
10
16
1
5
11
17
1
6
12
18
19