Zoom 2/Zoom - Release 2 (1996)(Active Software)[!].iso/education/learning/gcsemaths/gcse1

HyperBook | 1992-03-20 | 261KB | 1,120 lines

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Picture1
Work:
Button1
Work:text/Intro
Introduction
Button2
Work:text/About
About
Button3
HELP !
"Ref:AS00001FC"
"Ref:AS00001FC"
Computer
Aided
Mathematics
Project
Module No 1
Note1
ref:AS00001FC
Button4
CONTINUE
"Title Page"
Button1
In general you will be returned to this page
every time you have finished one of the subjects
listed on the right.
To study any of the topics listed simply click on
it with with the left mouse button. To return to
this page click on the
 EXIT
 button which you will
find on each page.
It is suggested you study every subject but not
in any particular order as each topic is self
contained.
Before you start make sure you have a pen, scrap
paper and a calculator to hand..
Click away..............
"Contents"
Table of Contents
Calculator
Calculator:Algebraic Logic
Calendar
Cube numbers
Divisibility test
    Fractions
Fractions (questions)
Magic squares
Measurement units
Money
Numbers
Number line
Prime factors
Prime numbers
Square numbers
Tables
Ten Minute Questions
Temperature
Unitary method
The Absolute End!
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Work:
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Work:
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"Contents"
Note1
When dealing with large numbers you will need to
be able to use a calculator. Regardless of what
you have been told by friends complex machines
are not needed!
You require only the four basic functions plus
the usual trigonometric ratios Sin, Cos, Tan and
their inverse functions.
Remember:
 When you are dealing with numbers NOT
based on ten, such as time, you cannot use your
calculator.
eg. 14hours 29mins  +  6hours 15mins
 14.29 + 6.15 !
In a case like this add the hours and minutes
seperately.
Now continue with the exercises on the next page
by clicking on CONTINUE.
Button1
Algebraic
Logic?
Button2
Note:there
 is also
a calculator
program free with
this disk. Try it
out later....
Picture1
Work:
    iff.brsh1
Note2
continue
Button3
"Calculator"
Note1
Q1 : What is the cost of 24 notebooks at 28p each and 25 pens at 98p
each?
Q2 : If 2O boxes weigh 36kg, what is the weight of 45 similar boxes?
Q3 : Multiply all the odd numbers between O and 2O together.
Q4 : If 12 size 3 eggs weigh 756g what would a box of 3O dozen eggs
weigh?
Q5 : Write down the value of ' pi ' from your calculator.
Q6 : A man has a wad of five pound notes in his pocket. If they are
numbered consecutively from 236239 to 2363O1 what is their value?
Q7 : Find the square root of the following numbers:
          a] 2O25OO        c] 9.869O2225
          b] 4258.8676
Q8 : If you save 65p a week for two years how much would you have
saved?
Q9 : What is the sum of 3.14159 + 325.7 + 26.982 + 1235
Q1O : Calculate ( 2.5 + 3.667 ) - 2.7 ( 3.6 - 4.2 )


Button1
Work:text/calc1.text
Answers
Button2
Work:text/calc2.text
More Questions
Button3
Button4
Algebraic Logic
"Calculator.text"
Note1
Leap-years are years where the dates are
divisible by 4 (eg 1960 ,1988, 2OOO etc)
exceptions are 1700, 1800 and1900.
Picture1
Work:
xmas 2
Picture2
Work:
Button1
Work:text/cal.text
Group1
Note1
3O days hath september
april,june & dull november.
all the rest have 31
excepting february alone
which has 28 days clear,
and 29 each leap year.
Picture1
Work:
Picture2
Work:
BITS.IFF
Button2
"Calander"
Button1
A number multiplied by itself results in a
square number or perfect square. eg 5x5=25 is
a square number which has the square root of
You can use your calculator to find the square
root of a number - to find the square root
of 169 press 169 then the square root sign to
get the answer 13.
Click here for questions....
Button2
a cube number is a number multiplied by itself
three times. eg 5x5x5=125 so 125 is a cube
number whose cube root is 5
Click here for questions....
Button3
Drawing1
Drawing2
Drawing3
Note1
numbers
Note2
Square
numbers
"Powers"
Note1
Q1 : Find the values of:
     a.  2
    b.  2
    c.  2
x5x7    d.  2x3
x5    e.  2
Q2 : From the numbers 8, 37, 50, 73, 81, 91, 360
     a) Which are square numbers?
     b) Which are cube numbers?
     c) Which can be written as 2
Q3 : This number is less than 1OO, it is two more than a square number and
     it is a multiple of 11. When divided by 9 there is a remainder of 3.
     What number is it ?
Q4 : These numbers follow a pattern - write down the next four numbers in
     the sequence..
                      1, 4, 9, 16, 25, . . . .
                      1, 8, 27, 64, . . . . .
Q5 : Extend this number pattern to 65
                      5
 = O x 1O + 25
                     15
 =1O x 2O + 25
                     25
 =2O x 3O + 25
Button1
Previous Page
Button2
Button3
Work:text/powers1.text
ANSWERS
"Powers.text"
Note1
Prime Numbers and Factors
Note2
PRIME NUMBER
 is divisible by itself and one only. The first few prime
numbers are 2,3,5,7,11,13,17,...... Do not confuse Prime numbers with odd
numbers!
Other numbers may be expressed as
PRIME FACTORS
             eg: 24O = 2 X 12O
                     = 2 X 2 X 6O
                     = 2 X 2 X 2 X 3O
                     = 2 X 2 X 2 X 2 X 15
                 24O = 2 X 2 X 2 X 2 X 3 X 5
TEST FOR DIVISIBILITY
divide by 2 (if the units figure is even), divide
by 3 (where individual digits added together are divisible by 3) and divide
by 5 (if the units figure is either 5 or O).
             eg: 861 = 8 + 6 + 1
                     = 15
                     = 1 + 5
                     = 6  as this divides by 3 , 3 is a factor of 861
Button1
Work:text/prime.text
QUESTIONS
Button2
Work:text/prime1.text
ANSWERS
Button3
"Divisibility"
Drawing1
Note1
one quarter 1/4
Note2
one eighth 1/8
Note3
sixteenth
Note4
one thirtysecond
     1/32
Note5
one half
  1/2
Drawing2
Note6
one sixtyfourth
    1/64
Note7
one onehundred and
twentyeighth 1/128
Note8
Splitting the square
Divide a square in two,
do the same again
several times and you
have very small
fractions!
The brown
portion is only 1/128th
of the full square ie:
the brown rectangle
will fit into the
square 128 times!
you split the white
rectangle in two what
fraction do you get?
Button1
Next Page
Button2
Button3
Work:text/fracs1
Questions
"Fractions"
Note1
Addition & Subtraction:
Add 1/4 and 1/2 in your head. Easy isnt it? But what did you do?
More than likely you changed the 1/2 into 2/4 and then added another 1/4
thus obtaining the answer 3/4. Try this method :-

1      1

 -   +  -

   4      2
That is multiply the 1/4 by 2/2 (which of course is one) and the 1/2 by 4/4
(which is also one) to change each fraction into eighths so that you can add
them together - you can only add fractions with the same denominator (ie
bottom number) thus:

2        4      6                  3
                   -    +   -   =  - which reduces to -
                   8        8      8                  4
This might seem a trivial example but try it with 1/3 + 1/5 by multiplying
the 1/3 by 5/5 and the 1/5 by 3/3 to change each fraction into fifteenths!
The answer, by the way, is 8/15
The same method applies to subtraction:
3   1
      2
   3     1
            6      5          1
- - -    =
-  -  -
     =     --  -  --     =   --
5   2
      2
   5     2
           1O     1O         1O

Button1
"Fractions1"
Note1
Multiplication & Division
Multiplication of fractions is easy. Simply multiply everything on the top
then put this over everything on the bottom multiplied together - for
example:-
         3   4   12   This of course could be reduced to 3/5 - it is easier
         - X - = --   to do the reduction before you multiply top &  bottom
         4   5   2O   by cancelling the fours.
Division is just as easy.
RULE: Turn the fraction you are dividing by
up-side down and change the sign to multiply!
Example:-
         3/4 divided by 4/5 is the same as 3/4 X 5/4
   then: 3   5   15
         - X - = --
         4   4   16
Mixed numbers must be changed to improper fractions first:
eg 2 1/2 divided by 1 3/7 isthe same as 3/2 divided by 1O/7
then  3      7     21   This can be changed back to a mixed number
      -  X  --  =  --   1 1/2O
      2     1O     2O
In general for problems involving more than one sign do multiplication and
division first followed by addition and subtraction.
Drawing1
Drawing2
Button1
Button2
Button3
Work:text/Fracs.Mult
Questions
"Fractions2"
Note1
picture
button
Note2
This is also a
button - click
here to return
to normal !
Button1
This is a
button
Note3
The buttons on the left all do different
things. To use a button move the cursor
over it and click with the left mouse
button. The cursor will change to a fat
arrow when you are over an area you can
click on.
The red buttons always take you back to
the menu screen so you cannot get lost.
Click on a menu item to get to a
particular page. If you have trouble with
this system then try the tutorial on the
Hyperbook Demo Disk.
Remember - If you are in any doubt try
clicking on a button - you cannot hurt the
computer or program!
Button2
Note4
Text areas
like this
can also
act as
buttons.
Click here
to return
to the
contents
page....
List1
Contents list
Click on any
item here to
get to a
particular
page..
Title page
All items you
can action are
coloured - ie
Not black!
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Work:
BITS.IFF
Note5
Help !!
"Help"
Note1
Note2
Note3
Drawing1
Note4
Note5
Drawing2
Drawing3
Note6
Note7
This is
Note8
Note9
Note10
Note11
Note12
Note13
Click on the area of the square on
the left which is equal to 1/8 th
Note14
click on any other areas to find
out what fraction of a square
they are
Drawing4
Button1
Button2
Button3
Note15
Guess the fractions of the
circle on the right then
Click on the red rectangles
in the circle to see if you
were right !
Drawing5
Button4
Button5
Next page
Button6
Note16
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Note17
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"Questions P1"
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Work:
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Drawing3
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1/256
Drawing6
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1/128
Drawing7
Button8
Drawing8
Button9
Drawing9
Note1
Guess The Correct Fractions !

Button10
Next Page
Button11
(3/4 x 4/5)-7/2O
    Drawing10
Button12
Correct
Button13
Wrong !
Note2
click on "correct" & "wrong"
buttons to clear them....
    Drawing11
"Questions P2"
Note1
Question 1
One quarter of one half of 128 is 18 ?
Wrong !    Correct
Question 2
a)If Mary has 360 sweets to share between her
thirty classmates each one  would get 1/12 of
Correct !     Wrong !
the sweets if they  all got  an equal share ?
b)They would all get 3O sweets each ?
Wrong !    Correct
Question 3
1/2 is the biggest fraction in the list below:

Wrong !
Correct
      1/2    7/16    5/9    4/12    6/13
Question 4
                         This shape is divided
                         into square cm. What
                         fraction of the whole
Wrong !    Correct
                         area is the red part?
Question 5
Click on the fraction of this shape                      YES!!!!
you think is equal to 1/6
This is 1/2
                                           silly         YES!!!!    NO

                                                                    Silly

Button1
Button2
false
Button3
false
Button4
Button5
Button6
false
Button7
Button8
false
Drawing1
Button9
Button10
Note2
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Drawing2
Button16
Questions
"Questions P3"
Note1
X    1    2    3    4    5    6    7    8    9
1    2    3    4    5    6    7    8    9
    2    4    6    8    10  12  14   16   18
    3    6    9   12   15   18  21   24   27
    4    8   12   16   20   24  28    32   36
5
5   10   15   20   25   30  35    40   45
6
6   12   18   24   30   36  42    48   56
    7   14   21   28   35   42  49    56   63
8
8   16   24   32   40   48  56    64   72
    9   18   27   36   45   54  63    72   81
Drawing1
Note2
There is no excuse for not knowing your tables off by heart. Working
out 9x8 in your head is much faster than using a calculator. I
suggest you print out this page (menu top left of screen) and say
your tables once a day - you will be surprised how quickly answers
to simple arithmetic spring into your mind. !
Button1
Note3
Multiplication Tables
Button2
Next Page
Picture1
Work:
    iff.brsh2
"Tables"
Note1
X   1   2   3   4   5   6   7   8   9
1   2   3   4   5   6   7   8   9
4   6   8   1O  12
  14  16  18
3   6   9   12  15  18
24  27
4   8   12  16  20  24  28
32  36
   5   10  15  20  25  30  35  40  45
6   12  18
36  42  48  54
   7   14  21
35  42  49  56  63
   8   16  24
  40  48  56  64  72
   9   18  27  36  45  54  63  72  81
Button1
3   4   5   6   7
Button2
26  29
34  38
Button3
Drawing1
Drawing2
Button4
Note2
This is a multiplication table like the one on the previous page. See if you
can pick out the answers which are wrong. You should find 12 of them!
    "Tables2"
Picture1
Work:
Note1
The x-axis and y-axis of a graph are number
lines very much like the coordinates you
would find along the top & down the edge of a
map. The middle point (O,O) on the graph is
called the origin (where things start from).
To the right of the origin on the x-axis are
the positive numbers and to the left the
negative. The y-axis is similar but on a
vertical number line.
Button1
Button2
Next Page
"Numbers 1"
Picture1
Work:
Button1
Note1
You have proberbly met magic squares before. All of the above rows and
columns add up to the same totals. It is up to you to find out what this
total is and to calculate the value that goes into each box where a
number is missing !
If you are stuck press the green button to find out what the total should
be for each row/column.
Suggestion : print out this page and fill in the missing numbers before
clicking on the squares.
Button2
Button3
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Button5
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Button7
Button8
Note2
Button9
Do NOT click
on me unless
you want to
reveal the
magic number
"Numbers 2"
Button1
Work:text/fracPlusAns.text
Harder
Question
Answers
Button2
Work:text/fractPlus.text
Harder
Questions
Note1
your choice:
Button3
Work:text/fracs1.text
Questions
(try these
first!)
Note2
Fractions:
Addition &
Subtraction
Continued.......
Button4
Button5
Next page
"Fractions1b"
Picture1
AMOS:GFX/pics
time.iff
Note1
remember you cannot use a calculator to add times
together eg: 12:2O + 1:4O = 14:OO or 2 o'clock -
use a calculator and you would get 13.6O !
Button1
The End
Button2
"Time"
Picture1
Programming:GFX
Measure
Button1
Note1
=1,OOO,OOO m
=1O,OOO cm
=1OO mm
1hectare=1O,OOOm
"Measurment"
Picture1
AMOS:GFX
TheEnd
Note1
Use menu at
top left of
screen to quit
or click here
to return to
Title page.
"TheEnd"
Picture1
Programming:GFX
Money
Note1
Unitary Method
If 21 books cost 14.21p how much would 35 cost ?
As both 21 and 35 have a common factor of 7 find the cost of 7 books:
21 cost 14.21
7 books cost 3.O3p (divide 21 by 3)
35 books cost 15.15p (multiply by 5)
Revise the page on factors if you do not grasp this!
Button1
"Money"
Note1
Options menu
Button1
Money
Button2
Measurement &
Temperature
Button3
Work:text/meas2.text
Questions Set 2
Button4
Button5
Work:text/meas1.text
Questions Set 1
Button6
"SubMenu2"
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Data:
numbers3
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Next Page
"numbers3"
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Data:
numbers4
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Previous
"Numbers4"
Note1

Calculator -
algebraic logic ?
You must know how to use your calculator properly. Each calculation must be
carried out in order
                      Do  (  )  brackets first
                    then   x
   powers
                    next  X     multiplication & division
                    last  + -   addition and subtraction
Try using your calculator now. Feed in 10 - 3 x 2 without taking any notice
of the priorities given above. The correct answer should be:
                   10 - 3 x 2 =  10 - 6  =  4
If your answer was 14 then your calculator does not use algebraic logic and
you should take care and enter the calculation in the correct order!
Always check the question to see how many decimal places to write the answer
to. A result of, for instance, 3.23546789 km for a question on how far Fred
runs to school is silly. 3.235 would be much more sensible
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Art06B:
    microchip
Picture2
Art06C:
SYMBOLS1.IFF
Group1
Drawing1
Picture1
Art06C:
COMPUT2.IFF
Button1
questions
Button2
Calculator
Button3
"calculator2"
Group1
Picture1
MultiMedia:
Button1
Continue..
"Intro"
Note1
Use menu bar
at top left
of page
Drawing1
"Help.button"
Instructions
Note2
Try clicking on one of the
buttons below!!!!!!!!!
Note3
Ten minute question
    time
...menu
Group1
"set1.button"
Set 1
(Easy)
"set1.button"
Set 1
(Easy)
Group2
"Set2.button"
Set 2
"Set2.button"
Set 2
Group3
"Set3.button"
Set 3
"Set3.button"
Set 3
Group4
"Set4.button"
Set 4
"Set3.button"
Set 4
Group5
"Set5.button"
Set 5
"Set3.button"
Set 5
Group6
"Set6.button"
Set 6
(difficult)
"Set3.button"
Set 6
difficult!
"Help.button"
Work:text/Project.text
Projects
Button3
Select a
page of your
choice!
Button4
General Help
Button5
Program
Button6
"Menu"
Note1
             1)  10
             2)  7

             3)  False
             4)  6
             5)  It is both prime and odd
             6)  5.15pm
             7)  9
             8)  4.25kg
             9)  62
            10)  7,11,13......
Button1
How many notebooks costing 2Op each can you buy for 1.4Op
Button2
3 + 5 x 4 = 32  True or False ?
Button3
1.5 x 2 + 3 = ?
Button4
Is 7 a prime number or an odd number ?
Button5
If it is 3.45pm now what time will it be in 1
hrs time ?
Button6
what is the value of 3
Button7
What is 1.5kg + 2.75kg ?
Button8
How mamy 2p pieces are there in 1.24p ?
Button9
Multiply 3 by 5 and subtract from 25
Button10
Write the next three numbers in the series 1,2,3,5...
Button11
"Set1"
Note1
             1)  95
             2)  2.56p

             3)  True
             4)  18
             5)  31
             6)  No :  7
=49 and 8
             7)  8 + 9 = 17
             8)  1,165 cm
             9)  2.44p
            10)  ..28,36,45,.. (triangle numbers)
Button1
What is the cost of 1kg of butter at 64p per 25Ogms ?
Button2
(3 + 5) x (14 - 8) = 48  True or False ?
Button3
1.25 x 12 + 3 = ?
Button4
What is the next prime number after 29 ?
Button5
Is 54 a square number ?
Button6
what is the value of 2
Button7
How many cm in 11.65 m  ?
Button8
How much change do you get from ten pounds if you spend 7.56p
Button9
Subtract 13 from the product of 12 x 9
Button10
Write the next three numbers in the series ...6,1O,15,21...
Button11
"Set2"
Note1

The answer (1O) is printed here.
Note2
Instructions
Button1
Set 1
(Easy)
Button2
Multiply 3 by 5 and subtract from 25
Note3
Click once, on any of these buttons, with
your left mouse button to start the exercise
- Set 1 is the easiest and Set 6 the hardest
Drawing1
Note4
Work out the question (in your head - calculators
are NOT allowed!) on the black or blue band, then
click on it to reveal the answer. Don't cheat !
Drawing2
Note5
Each exercise is designed to last approximately 1O minutes, so it is a
good idea to time yourself. The questions are very similar to those you
will be asked in your oral examination - for which a time limit is
imposed!
 button on each page takes you back to the menu screen.
Button3
"Instructions"
Note1
             1)  12
             2)  83 mins

             3)  6,O26
             4)  44p
             5)  1O.5km
             6)  24
             7)  36
             8)  125O
             9)  18
            10)  15,13,11...
Button1
How many minutes are there from 1O.45am to 12.O8pm ?
Button2
Write in figures six thousand and twenty six
Button3
1.76p is divided among 4 children. How much does each get ?
Button4
A boy jogs 1.5km per day. How far does he jog in a week ?
Button5
What is O.4 x 6O ?
Button6
what is the value of 3
Button7
How many cm in 1.25km
Button8
What is 3 less than
 of 42 ?
Button9
What number multiplied by 8 will make 96 ?
Button10
Write the next three numbers in the series 23,21,19,17...
Button11
"Set3"
Note1
             1)  64
             2)  15.28

             3)  6O,O26
             4)  3hrs
             5)  -1
             6)  O.95
             7)  1.25
             8)  21O
             9)  4OO
            10)  O.25 , O.125 , ...
Button1
It is 12.O8hrs now what time will it be in 3hrs 2Omins ?
Button2
Write in figures sixty thousand and twenty six
Button3
Travelling at 45mph how long to go 135miles ?
Button4
What is 5 less than one third of 12 ?
Button5
What must be added to O.O5 to make it up to 1 ?
Button6
what is 25% of 5 ?
Button7
How many minutes in 3
 hours ?
Button8
How many cubes in 1kg of sugar if a cube weighs 2.5gm ?
Button9
What is the volume of a cube of edge 4cm ?
Button10
Write the next two numbers in the series 16,8,4,2,1,O.5 ...
Button11
"Set4"
Note1
             1)  4
             2)  2OOO

             3)  63cm
             4)  3.25pm
             5)  -66
             6)  4.75
             7)  27
             8)  225
             9)  3
            10)  -5,-7,-9,-11, ...
Button1
Tom was 6 years old in 1991 when will he be 15 ?
Button2
How many cm is 37cm short of 1 metre
Button3
A bus leaves at 15.25 what time is this on an analogue clock ?
Button4
What is 12 - 78 ?
Button5
What must be added to 5.75 to make it up to 1O.5 ?
Button6
what is one third of 81 ?
Button7
How many minutes in 3.75 hours ?
Button8
Add this number to 81 to make it exactly divisible by 7 ?
Button9
What is the average of the numbers from 1 to 7 ?
Button10
Write the next four numbers in the series 7,5,3,1,-1,-3 ...
Button11
"Set5"
Note1
             1)  1.6
             2)  15

             3)  12
             4)  $12
             5)  -16.5
             6)  16.25
             7)  27
             8)  18p
             9)  9/2O  (nine over twenty)
            10)  125,216...  (1
.....)
Button1
What is three fifths of 25 ?
Button2
How many edges has a cube ?
Button3
The exchange rate is 14 francs per $, what is 168f in dollars?
Button4
What is one quarter of (12 - 78) ?
Button5
What must be added to -5.75 to make it up to 1O.5 ?
Button6
what is three ninths of 81 ?
Button7
3 teas and a bun cost 8Op. How much is a cup of tea if the bun
cost 26p ?
Button8
what is one quarter plus one fifth ?
Button9
What (exactly) is 4 divided by 2.5  ?
Button10
What are the next 2 terms in the series 1,8,27,64,....
Button11
"Set6"
dh0:GFX/Artprogs/paint
diamond.font
    flow.font
Broadway.font
LA.font
Courier.font
LA.font
Courier.font