Year 7 Asia/Australia/Africa
Second Semester: Final Exam
Mathematics
Revision & Practice Booklet
Name : …………………………………………………………
Teacher : Ms Ouakil Rabia
Reminder :
Congruent shapes
Congruent shapes have the same size and the same shape. In other words, if you place an object in front of a mirror,
the image that you see is congruent or «equal «to the object.
Percentage
How to calculate a percentage of a number
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To find 1% of a number means finding 1/100 of it. Similarly, finding 60% of a number means finding
60/100 (or 6/10) of it.
In these expressions, the word “of” translates into multiplication:
1% of 90 → 1% × 90
60% of 700 → 60% × 700.
We can also write those percentages as decimals and the multiply it by the number:
1% of 90 → 0.01 × 90
60% of 700 → 0.6 × 700
How to convert decimal to percent
Multiply the Decimal Number by 100%
Graphs : What are coordinates?
Coordinates are two numbers or sometimes a letter and a number, that locate a specific point on a grid,
known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal)
and y axis (vertical).
Linear Functions
The name "linear functions" has the word "line" in it, which would suggest that, graphically, linear functions would look
like lines.
Practice
For each equation, complete the table of values and draw its graph for values of x from −1 to 3.
PERCENTAGE
 Barryʼs salary is £14 000 and he is due to get an increase of 5%. Calculate how much this
increase will be. ……………………………………………………………………………….
 Harry wants to buy a motorbike that costs £600. He saves 30% of his wages each month.
Each month Harry earns £400. Calculate how many months it will take Harry to save enough
money. ………………………………………………………………………………………..
 There are 20,000 fans at a football match. 12% of the fans are women. Work out how many
women attended the match. ………………………………………………………………….
 Calculate 75% of 300 ………………………………………………………………….
 Work out 98% of 700. ………………………………………………………………….
Convert the following fractions into percentages
CONGRUENT SHAPES
Ratio
 A piece of carpet is 240cm long. Mr Jones cuts it into three pieces in the ratio 1 : 2 : 5 Work
out the length of the longest piece of carpet. ………………………………………………………………………
 Rachel has some apples and bananas. The ratio of apples to bananas is 2 : 3 She has 14
apples. Work out how many bananas Rachel has. ………………………………………………………………..
 Divide £945 in the ratio 2 : 5 …………………………………………………………………………………………..
PROBABILITY