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puzzles and problems such as |
An example of a wall puzzle: five numbers are on the wall. Write the
five numbers below the wall on the right bricks in the wall. |
Years
5 and 6 (age 9-11)
Wall puzzles
The number
on a brick is either the sum, difference or product of the two numbers
below.
There are 6 levels of difficulty going from showing 5 numbers on the
wall (the easiest) to showing none of the numbers on the wall.
Use the slider to determine how many numbers are on the wall then
click on the 'change' button. You will only see the effect when the
worksheet is printed
There
are three types of worksheet:
M21a:
The
numbers on the bricks are the sum of the two numbers below
M21b:
The
numbers on the bricks are the difference between the two numbers below
M21c:
The
numbers on the bricks are the product, sum or difference between the
two numbers below
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Example of Shape Puzzle 1 |
Year
6
Shape Puzzles
Work
out the value of each shape. The total for each row and column is
shown.
M22:
Shape
Puzzle 1: Three of the same shape
can appear in a row (see the example on the left, three squares are
in the top row.
M23:
Shape
Puzzle 2: Three of the same shape
will not appear in a row.
M24:
Shape
Puzzle 3: The solutions can be
negative numbers.
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Years
5-6 (age 9-11) 
M25:
Sum puzzle New
option: choose all triangles, all squares or a mixture.
Write a number in each circle so that the number in each square equals
the sum of the two numbers on either side of it. There may be more
than one solution for the square arithmagon. The answer sheet will
give one set of solutions.
M38:
Another
sum puzzle
The three
numbers in each line must add up to the same total. The total can be
shown or hidden, click on the 'total' button.
The number options are: 1. Small whole numbers 2. Multiples
of ten 3. Decimals 4 Positive and negative numbers.
Use the other buttons to show a few puzzles or just one.
The
options for both worksheets:
1. Small whole numbers 2. Multiples of 10 3. Decimals
4. Negative numbers
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Year
6 (age 10-11)
Complete
this multiplication table
M26:
Multiplication
table 1
M27:
Multiplication
table 2 more difficult
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Years
5 and 6 (age 9-11)
Complete
the magic squares
M28:
3
x 3 magic square
M29:
4
x 4 magic square
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Year
6 (age 10-11)
Solve simple
equations
M39:
Balancing
problems: what is the weight of a gold bar?
Use
the 1 ,2 and 3 buttons to generate the problems. Three levels of difficulty:
level 1: small whole number solutions
level 2: multiple of ten solutions
level 3: gold
bars on both sides
M30:
Work
out what number each shape represents (positive numbers)
M31:
Work
out what number each shape represents (positive and
negative numbers)
M32:
Work
out the value of each letter (positive numbers)
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Years
5-6 (age 9-11)
Functions
M33:
What
are the missing numbers?:
see the example on the left.
The same functions
are used in each line. Can be used to develop algebraic thinking,
for example, the numbers in the triangles are 4 times the numbers
in the squares.
Year 6 (age 10-11)
M36:
Function machines:
see the example on the left.
Fill in the missing numbers and functions. Click on the '1' button
for single functions, '2' for double functions.
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Find
out about the Mayan number system: mental arithmetic problem-solving.
