The Answers

p

Decimals:
   
 
1.
531 . 202
 
2.
595 . 458
 
3.
8017 . 28
 
4.
892 .5
 
5.
01 . 69625
 
6.
149 . 929

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Averages:
 
1.
£ 43.00
 
2.
691 Miles
 
3.
74 years old
 
4.
25 points
 
5.

 

Total daily allowance £ 3.06 x 10 = £ 30.60

Total for the week £ 30.60 x 7 = £ 214.20

The money you have for the week is £ 214.20

Take away the six days spent £ 168 02

This will leave you £ 46.10 for the Sunday

 

 
Proportion

 

Remember to always use your common sense to decide if the answer is going to be larger or smaller. ie, If you have few people then the job will take longer.

 

 
1.

72 Hours, The way I would lay out the sum is:

-----00000000000012
0000----000--0---------
0000600000x0000048 00000=000072 hours
00------
00004

---------------------------------------------------

 
2.


63 Rounds,

00000000000000007
00000000000000-------
0000900000x000004200000=0000063 Rounds
00------
00006

---------------------------------------------------

 
3


24 Minutes,

00000000000000004
00000000000000------
00030 0000x 0000040 00000= 000024 minutes

00-----
00050 o/5

---------------------------------------------------


   
24 Hour Clock
 
 
A


935 am = (0935 hrs)

1200 am = (1200 hrs)

730 pm = 7 + 12 = 19 (1930 hrs)

216 pm = 2 + 12 = 14 (1416 hrs)

---------------------------------------------------

 
B

 


1720 hrs
= 17 - 12 = 5 (5.20 pm)

0623 hrs = before 1300 (6.23 pm)

1245 hrs = before 1300 (1245 pm)

0300 hrs = before 1300 (3.00 am)

 

---------------------------------------------------

 
1

 

Finish 2136 hrs 0000Start 1940 hrs

0000000000000000Duration + 156

0000000000000000Finish 2136 hrs

40 + 56 = 96 minutes = 1 hr 36 minutes
19 + 1+ 1 = 21 hrs

----------------------------------------------------

 
2

 

 

Arrive 0515 hrs 0000Leave 2230 hrs

00000000000000000Drive +6 45

00000000000000000Arrive 0515 hrs

30 + 45 =75 minutes = 1 hr 15 minutes

22 + 6 + 1 = 29 hours
29 - 24 = 5 hrs

---------------------------------------------------

 
3

 

 

Arrive 1805 hrs00000Leave 1645 hrs

00000000000000000Drive + 50

00000000000000000Shop + 30

0000000000000000018 05 hrs

45 + 50 + 30 = 125 minutes =
2 hours (120 minutes) 5 minutes

----------------------------------------------------



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Return to the 24 hour clock

 

 

Distance Speed and Time
 
 
1.

0.25 hrs = 1/4 hr or 15 minutes 15
00000000000000000000000------
00000000000000000000000060
---------------------------------------------
 
2.

 

2.5 hrs

30 minutes is 1/2 an hour = 0.5

0000ii000000030
00000000000-----
000000000ii0060
000= 0.5

Then add the 2 hours, giving you 2.5 hrs.
---------------------------------------------

 
3.

 

1.75 hrs

0000ii000000045
00000000000-----
000000000ii0060
000= 0.75

Then add the 1hour, giving you 1.75 hrs.

-------------------------------------------

 
4.

 

0.1 hr

0000ii000000006
00000000000-----
000000000ii0060
000= 0.1

Then add the 1hour, giving you 0.1 hr.

-------------------------------------------

 
5.

 

5A. 002 hours and 42 minutes

0000ii000000007 x 60 = 42 minutes
000000000ii002 hrs + 42 = 2 hrs 42 mins

-------------------------------------------

5B. 00 54 minutes

0000ii00000000.9 x 60 = 54minutes

--------------------------------------------

 
6.

 

6A.0070 Kilometres

0i1 hr 45 minutes = 1.75 hrs
0 1.75 x 40 = 70 km

45000000000
------0000= 0.75
60 00000000

--------------------------------------------

 

6B.00117 Miles

0i1 hr 48 minutes = 1.08 hrs
0 1.08 x 65 = 117 Miles

48000000000
------0000= 0.8
60 00000000

---------------------------------------------

 

6C.0029 Miles

0i7 hrs 15 minutes = 7.25 hrs
0 7.25 x 4 = 29 Miles

--------------------------------------------

 
7.

 

7A.0032 Miles /h

0000000048000000000
0000000------0000= 32 miles /h
000000001.50000

--------------------------------------------

7B.0015 Miles /h

0000000042000000000
0000000------0000= 15 miles /h
000000002.80000

--------------------------------------------

 
8

 

8A004 hours and 20 Minutes

001150
-oo0730
0000420

-------------------------------------------

 

8B0017.52 Hours.

002139
-oo0347
0001752

--------------------------------------------

 

8C0011.14 hours

00000957
+ oo0117
00i01114

--------------------------------------------

 
9.

 

9Aooo63 Miles

1 hr 45 minutes = 1.75 hrs
1.75 hrs x 36 = 63 miles.

--------------------------------------------

 

9Booo 35 Miles / h

1 hr 36 minutes = 1.6 hrs.

0000000005600000 = 000035 miles / h
-----0000000000
1.6 0000000000

-------------------------------------------

 

9Coo264 km

3 hr 18 minutes = 3.3 hrs
3.3 hrs x 80 = 264 km

---------------------------------------------

9Doo7.5 km / h

24 minutes = 0.4 hrs

3 0= 007.5.km /h
------00000000000
0.4 00000000000

---------------------------------------------

.

     
     
     
     
     
   

Back to top
Return to Distance Speed and Time page

 
Conversions
   
 
1.

Volume

Lenght

Weight

Pressure

-----------------------------

Litre

Metre

gramme

Bars

 

 

2.

 

 

A Kilogramme is


A milligramme is


A metric tonne is




-----------------------------

1000 grammes


1 / 1000 of a gramme


1000 kilogrammes
= 1 000 000 grammes





 
1 x kilometre is 1000 metres So we divide by 1000
 

3.

 

 

 

Move the decimal point to the left of the 3 noughts

 

-----------------------------


542000000000
------- = 5.42 km
10000000
0000

 

4.

 

 

There are 100 centimetres in a metre.

There are 1000 millimetres in a metre, so

There is 10 millimetres in 1 centimetre.

So divide this sum by 10

-----------------------------

 

 

950 mm = 950 = 95 cm
00000000-----
00000000010

 

 

 


 

5.

 

 

There are 1000 millitres in 1 litre, so, to convert from litres to millilitres multiply by 1000.


-----------------------------

 

 

1.5 x 1000 = 1500 ml

 

 

 
6.

1 metric tonne is 1000 kilogrammes, so, to convert from kilogrammes to tonnes divide by 1000

-----------------------------

6500 divide 1000 = 6.5 t
 

7.

 

5ft 5" = 65"

&

1" = 2.54 cm

Remember the 2 decimal point has to move 2 places, so the answer would be
00000 165 . 10
This is true but we must also round the number off, because the number is over half of the whole number, we call it :

166 is the correct answer.

-----------------------------

5ft = 12" x 5 = 60"
60" + 5" = 65"

 

2.54
x 65
-------
1270
152400
---------
16510

 

 

8.

 

 

3.81m = 381cm = 150"

1.27m = 127cm = 50"

So the carpet is 150" x 50"

 

 

-----------------------------

Convert the room figures into inches:

10ft 6" = 126"

10 x 12 = 120 + 6 = 126

3ft 6" = 42"

3 x 12 = 36 + 6 = 42

 
9.

 

The answer will be smaller

4.5 ltr divided by 45.5

Do not use the decimal point

45 divided by 495 =

-----------------------------

11 gallons
 
10.

 

The answer will be larger

480 x 4.5 = 2160

-----------------------------

2160 litres
     
-------------------------------------------------------------------------------------
Percentage
 
 

1.

 

 

 

000000 20000 x 000100000 = 0002000000 =0020
00000-----------------------------------------------
000000100 000000000000000000100

The easy way to solve this, is to cancel the noughts. Remember when you cancel a nought from the top, do the same at the bottom.

Now you should of had the video has the best deal of the 2, with 20% discount as apposed to the TV with 12.5%.

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2.

 

 

 

The Scottish make up 25% of the garrison.

Scots ooooo385 0x 0100 = 38500 = 25%
---------------------------------------------
Garrison 00154000000000015400000000

00

-------------------------------------------------------

000

 
3.

Discount = £250 - £175 = £75

Percentage discount = 75 x 100 = 7500 = 30%
___________________________
00000000 00250 0000000250

Remember to cancel all the noughts when you do this sum in your head

-------------------------------------------------------

 

 

4

 

.

Reduction = 500 - 475 = 25 miles

Percentage reduction = 25 x 100 = 2500 = 5%
__________________________
000000000000500 000000500

-------------------------------------------------------

 

5.

 

75000 x 00150 = 0112500 = 0£112.50
_______________________________
100 000000000000010000000000000

-------------------------------------------------------

 

6.

 

 

13500 x 001000 = 0135000 = 090%00
_______________________________
150000000000000015000000000000

-------------------------------------------------------

 

7.

 

 

£35.7000 - 00£34.000 = 0£ 1.70

 

1.700000 x 00001000 = 01700 = 05%
___________________000_________
34 000000000003400000000000000

------------------------------------------------------

 

 

8.

 

 

 

£120.0000 - 00£102.000 = 0£ 18

00018000 x 000000018000 = 01700 = 015%
____________00________000_________
0
12000000000000012000000000000000

-------------------------------------------------------