Maths :)

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  • Created on: 28-05-09 12:04
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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 = 1
j) -5+-4--7=
4.
a) +2*-3= -6
o) -2*+4*-2= -16
HCF and LCM -
E.g.
HCF stands for highest common factor
LCM stands for lowest common multiple
Find the LCM of two numbers
a) 3 and 7 = 21
b) 6 and 9 = 18
A factor is a smaller number that divides exactly into a larger
number.
e.g. 2, 3 and 4 are all factors of 12
Find the HCF of two numbers
a)15 and 21 = 3
b) 16 and 24 = 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.
Find the prime factors of 18.
Using a prime factor tree, split 18 into 3*6 and 6 into 3*2.
So, 18 = 2*3*3=2*3"2"
Note that 2*"3" is called index form.…read more

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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 slabs
It increase by 4 like the other answers.
a) First term 5, increase each term by a constant difference of
6.
An) The sequence is 5, 5+6 = 11, 11+6 = 17........…read more

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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 you would say...
F and A are corresponding angles
Angles in triangles and quadrilaterals.…read more

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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.…read more

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Work out the size of the angles marked x and y.…read more

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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 parallel to one side of the triangle.
Let x and y be the other two angles formed on the line with a.…read more

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The geometric properties of quadrilaterals.…read more

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Parallelogram
Rhombus
Kite…read more

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