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1. Number and Algebra.

Multiplying and dividing negative numbers ­

E.g.
-2*+4
2*4=8, and - * + is equivalent to -. So -2*+4=-8

-6*-3
6*3=18 and -*- is equivalent to +, so -6*-3 =+8

+6*-4/-2
+6*4= -24, -24/-2=+12

Key
-*+=-
-*-=+
-/-=+
-- = +
+-= -

1.
a) -7+8…

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Powers and roots ­

E.g.
4"3" = 4*4*4 = 64
( Most calculators have a squaring button )

/12.25 = 3.5
(Depending on your calculator, sometimes you type the square
root before the number, and sometimes the number comes first.
Make sure you can use your calculator.)

Prime Factors-

E.g.…

Page 3

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Paving slabs 1 metre square are used to put borders around
square ponds. Some examples are given below.

1*1 metre"2" pond
8 slabs

2*2 metre"2" pond
12 slabs

3*3 metre"2" pond
16 slabs

4*4 metre"2" pond
20 slabs

How many slabs would fit around a 5*5 metre"2" pond?
Answer= 24…

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The angles F and A are corresponding angles.
The angles Z and M are alternate angles.

So
If there was a question that said:
Name a pair of angles that are alternate you would say...
Z and M are alternate angles
OR
Name a pair of angles that are corresponding…

Page 5

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The angles in a triangle add up to 180
A+b+c= 180







The angles in a quadrilateral add up to 360
A+b+c+d = 360





So if
A=80
B=80
C=100
D=100
You could check this by adding them together
80+80+100+100=360
So these must be the right calculations.

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Work out the size of the angles marked x and y.

Angles in a triangle add up to 180,
So Y=180-45-90
=45

Angles on a straight line add up to 180,
So Y=180-45
=135

Or you could say the exterior angle
Y=45+90 (Sum of the interior opposite angles)
=135






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Work out the angles marked p and q.
Angles in a quadrilateral add up to 360,
So P=360-135-78-83
=64

Angles on a straight line add up to 180,
So Q=180-64
=116

Geometric proof.

E.g.
The sum of the angles of a triangle is 180.
To prove A+b+c=180
Draw a line…

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Page 9

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The geometric properties of quadrilaterals.

Square






Rectangle

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Parallelogram











Rhombus









Kite









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