Use algebra to represent double the amount of a quantity, given that is the initial quantity.
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Use algebra to represent double the amount of a quantity, given that is the initial quantity.
Double the amount of a quantity can be written as .
Use algebra to represent half the amount of a quantity, given that is the initial quantity.
Half the amount of a quantity can be written as or or .
Use algebra to represent five more than a quantity, given that is the initial quantity.
Five more than a quantity can be written as .
This is not the same as .
Use algebra to represent ten lots of a quantity, given that is the initial quantity.
Ten lots of a quantity can be written as .
This is not the same as .
True or False?
If my sister is 2 years younger than me, then is my age and is her age.
True.
If my sister is 2 years younger than me, then is my age and is her age.
It is also true to say that is my age and is her age.
Three bags contain , and marbles each.
If there are 75 marbles in total, explain how to form an equation.
Three bags contain , and marbles each.
If there are 75 marbles in total, then an equation can be formed by adding all the quantities up and setting them equal to 75.
This gives .
Examiners want to see this full equation (before simplifying or solving).
If the total perimeter of the regular pentagon below is cm, show how to form an equation.
The pentagon being regular means the side lengths are all equal.
If the total perimeter of a regular pentagon with side length is cm, then:
Find the total perimeter in terms of by multiplying by 5
Set this equal to 100
This forms the equation .
True or False?
If the interior angles of an -sided polygon are given algebraically in terms of , you can calculate the size of as the total sum of the angles will always be .
True.
If the interior angles of an -sided polygon are given algebraically in terms of , you can calculate the size of as the total sum of the angles will always be .
E.g. for any hexagon (regular or irregular), the sum of its interior angles will always be .
So if the interior angles are in terms of , add them together and set equal to .
True or False?
You can use a 'show that' answer from part (a) to do part (b), even if you did not complete part (a) yourself.
True.
You can use a 'show that' answer from part (a) to do part (b), even if you did not complete part (a) yourself.
If part (a) says to show that certain information leads to the equation , then you can use that equation in part (b) without having proved part (a)!
Explain the phrase answer the question in context.
Answer the question in context means that your final answer should
be related to the real-life situation in the question
be written in sentences
use words and phrases from the question
state the correct units
be rounded appropriately
The answer should not be, for example:
(no explanation)
"the length is bigger" (no context)