In the table below, put a tick (✓) in the box next to the formula.
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In the table below, put a tick (✓) in the box next to the formula.
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Here is a rectangle.
All measurements are in centimetres.
Show that when , the perimeter of the rectangle is cm.
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Write down an example to show that the following statement is not correct.
The sum of an even number and an odd number will be even.
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An unknown integer can be expressed as .
Write down an algebraic expression for the next integer value.
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An integer value can be expressed as .
Write down an algebraic expression for an even number.
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Write down an example to show that each of the following two statements is not correct.
The multiples of an odd number are always odd.
All the digits in even numbers are even.
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The th even number is .
Write down an expression for the next even number.
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and are two consecutive odd numbers.
Give an example to show that the value of is a multiple of
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is a positive number.
is a negative number.
For each statement, tick the correct box.
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Which of these is a correct identity?
Circle your answer.
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The diagram shows a cube with edges of length cm and cone of radius cm and height cm.
The volume of the cube is equal to the volume of the cone.
Show that , where is an integer.
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The th odd number is .
The next odd number after is .
Explain why.
Write down an expression, in terms of , for the next odd number.
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Here is a right-angled triangle.
Four of these triangles are joined to enclose the square as shown below.
Show that the area of square is .
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and are two even numbers.
Give an example to show that the value of is a multiple of
Show that when and are both even numbers, the value of will always be a multiple of 6
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Here is a rectangular wooden block.
The measurements of the diagram are in centimetres.
Three of these wooden box are put together to construct a shelf.
The perimeter of the shelf is cm.
Show that
Consider the statement,
'When and are whole numbers, is always a multiple of ."
Is this statement correct?
You must give a reason for your answer.
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