Numerical Data

 
It could be possible that you have not done any basic arithmetic for a long time in the appointments that you hold, I know that your job spec will not allow for it, so take a look at the following pages and refresh your self, these pages will help you get through your threshold test and onto the course. The first part is just basic arithmetic and will take about 30 minutes, no longer, nevertheless concentrate on accuracy and not speed. At the end of the day its money in your pocket.
Basic Arithmetic
Answers
 
Remarks
       
257 + 4+ 3313 =

3313
257
+
4
-------

3574

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1
 
Remember to lay out your numbers with the higher number on top and all aligned from the right
254 + 99 + 22 =

254
99
+22
------
375
------
11
   
937 - 215 =
937
-215
-----
722
-----
   
222 - 191 =

222
-191
------
031
------
   
502 x 390 =

502
x390
-----
000
45180
150600
----------
195780
----------
   


Decimals look for the location of the decimal point. You will need to lay out the sum so that the decimal point is underlined throughout, this will aid you, and prevent any miss calculation. Try the following, then click below number 6 to check all your answers. It is not always necessary to show all the decimal places following a number. You will be asked to round up to 2 decimal places during your threshold test, this will mean that only two numbers after the decimal place are required. However if you only have 2 numbers after the decimal place then you do not need to do any more, if there is one number after the decimal place, but asked for a 2 digit decimal answer then add a zero, i.e, 26.5 is really 26.50.
1
54.7 + 472.98 + 3.522

472 . 98000
3 . 52200
54 . 70000
----------00
Answer00
------------
2
63.98 + 522 + 0.578 + 8.9

63 . 9800
522 00100
8 . 9000
0 . 5780
-------------
Answer00
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3
8059 - 41.72

8059 . 00
41 . 72
----------
Answer0
----------
4
8.925 x 100

8 . 9250
10000000
-----------
Answer0
----------
5
67.85 x 0.025

67 . 8500
0 . 0250
---------0
Answer0
---------0
6
2.47 x 60.7

60 . 700
2 . 470
--------0
Answer0
--------0

Averages: An average is a middle point to a set of numbers, so, what you would do is count up all the numbers you have together then dividing the total sum by the number of items in the set. The average is used to look at the overall performance rather than just one result.
 
How to work out the sum: You need to work out the average score of your shoot, below is the practices of each shoot you have done, all you do is add the numbers in practices 1 - 5 then divide the total score by the number of practices ,i.e. 5.


Practice

1
2
3
4
5


Your Score

56
60
54
58
57


Total





285 points


Your score is 285 points 56 + 60 + 54 + 58 + 57 = 285. we now divide the total number (285) with the number of practices (5).

= 285 Divided by 5 = 57

57 is your avarage score.

Note. If you are using your computer calculator the divide symbol is /

 
Now you can try these sums and check your answers by clicking the link at the bottom of sum number 5
1

At the end of a betting day a man has lost the following amounts on the horses but needs to work out his average money spent, so that he can go to the bar and spend the same amount on beer to drown his sorrows, sad man, very sad man.

A. 000£ 37:00, £ 42:00, £ 49:00, £ 38:00, £ 53:00, £ 39:00.

B. 00000Find the Average money spent on one days betting

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2


You are a very popular person and have three woman on the go, this is costing you a fortune in miles on your tax free car, that you want to sell in six months time, You need to find out how many miles you are averaging to satisfier your desires, in order to get some answers before your fourth wife finds out how many miles you have done. She thinks your always on exercise with the SAS.

A.0000000March 759 miles
0000000April 648 miles
0000000May 843 miles
0000000June 514 miles
000000July 663 miles
00000000August 719 miles
00000000000September 691 miles

B. 00What is the average miles covered to satisfier your desires.

C. Do you sell the car after 6 months, no, correct.

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3


You are going though a phase were you are starting to look at older woman. The only problem is, that you are aged 19 and the woman you fancy are between 66 years old and 80 years old. This is a strange feeling, however, you need to work out the average age of the 6 woman you have been with.

00A. The ages of the woman are 80 years old
oooooooooooooooo00000000077 years old
000000000000000000000000073 years old
000000000000000000000000068 years old
000000000000000000000000067 years old

000000000000000000000000079 years old

00B. What is the average age of the woman.

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4

Working out a missing number from a set. You have to qualifie for the shooting team with an avarage score of 27 over five 30 round practices, however, so far you have shot 4 practices. The scores you have are:

27000 28 00025 00030

The problem is, can you qualifie for the shooting team and what score do you require in your next shoot. "So to do this",

We know the average is 27 over 5 practices, so we say
27 x 5 = 135 points.

Once we know the total, we can take away the sum of the numbers that we know which will leave us with our one missing number:

Add together 27, 28, 25, and 30 = 110 points

Take away (27 x 5 = 135) the total numbers 135

The Answer is 25 points (Easy) you try number 5.

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5

Ten MICKS go off on the ale for a week (money from the PRI, not) you have been told that if you miss manage your money then you will be shot on return to camp. You have been given £ 3.06 per person per day (its a cheap bar).

Your total daily allowance is £3.06 x 10 = £ ??.??

Your Total for the week is £ ??;?? x ? = ???.??

You have to drink the following drinks that total the amounts below and on the following days:

Monday, Vodka, £ 32:70
Tuesday, Beer, £ 23:90
Wednesday, Gin, £ 36:45
Thursday, Beer, £ 27:60
Friday, Beer, £ 26:56
Saturday, Own choice, £ 20:81

How much drinking money will you have for rum on a Sunday, remember Sunday is a holy day.

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Proportion A proportion is a pert or a fraction, the size of which is determined by some relationship, for example, if we say that one quantity is in proportion to another we mean that there is a relationship between the two and if one changes then so will the other, you need to understand this.

Direct Proportion This is when an increase in one number or quantity leads to an increase in another, so, if it takes 2 men to build a 60ft wall in one day, then it will take 4 men to build a wall 120ft long in the same time (one day). Therefore the number of feet to the wall is directly proportional to the number of men working. In other words the wall size will increase and so will the manpower.

Inverse Proportion This is when an increase in one leads to a corresponding decrease in the other, so, if it takes 5 men to lay a carpet in two days then it will take 10 men to lay the same carpet in one day, so the time required is inversely proportional to the number of men. In other words many hands make light work.


An example of Direct Proportion:

Your ordering bar stock and need 4 barrels of MICK best bitter, 5 barrels of Who you looking at.

MICK best Bitter £ 42.70
Who you looking at.£ 49.30

Basically the more you order the it will cost. So the price is directly proportional to the number of barrels beer.

If the price for one barrel of MICK best bitter is £ 42.70 then 4 barrels is
£42.70 x 4 = £ 170.80

What is hard about that, if you find problems try working out the cost of 4 barrels of who you looking at:

The price of 1 barrels is, £ ??.?? x 4 = ???.??

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An example of Inverse Proportion:

Whilst working in the training wing, your Friday afternoon job is to lay out the classrooms for Monday. Today, you have 3 rooms to prepare which will take you 1 hour but 2 mates have offered to help. How long will it take the 3 of you to complete the task.

If it takes 60 minutes to set up 3 classrooms then it will take 20 minutes for each room. Look.

There are 3 people,

There is 3 x 20 minutes in 60 minutes

Therefore it will be 20 minutes each. Easy.

All that happened was that the time was divided up into 3 because there is 3 times the amount of people doing the work. Very logical.

There is a formula to this, read the statement above once again and then think of the question, look how I have laid it sum out. The "S" stands for statement and the "Q" stands for the question.

S 0001 man 000x 00S00 60 Minutes = 20 minutes
--------------000000--------------------
Q000 3 men 00000000000000000000000000000

The formula is upside down compared to the direct proportion formula, this seems sensible if you think that now as we increase one quantity we decrease the other.

Listed below are some proportion sums to do. Click for the answers at the bottom of this section.

1

In your unit 6 of you are trained to use the spraying equipment for repainting vehicles. You work out that between you, you can paint all the MT vehicles in 48 working hours. Just as you are about to embark on this mammoth task, 2 Soldiers are detached at short notice. How long will it take you now.

S 00000000000x 00S00 00000= 000000000000
--------------000000--------------------
Q000000000 00 00000000000000000000000000

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2

Your using up the surplus ammunition at the end of a range day. Each of the 9 Soldiers gets 42 rounds. Three of them, however are not keen to shoot again and quite happy to let those who want to shoot use their share. How many rounds does each of the 6 Soldiers left, now get.

Click the answers at the bottom of the page.
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3

Try this, this is another example of the use of inverse proportion. The faster you go the less time it takes to get there.

Your normal journey home, averaging 30 miles / h in the rush hour, takes you 40 minutes. You`ve stayed late at work this evening and you`ll be able to average 50 miles / h now that the roads are clear. How long will it take you to get home.

Click the answers at the bottom of the page.

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