Quantitative Reasoning Flashcards
How many grams in 1kg?
1000g
How many milligrams in 1g?
1000mg
How many micrograms in 1mg?
1000micrograms
How many micrograms in 1g?
100,000 micrograms
Convert 1kg to volume?
=1Litre or 1000ml
Convert 10g to litres
Same as converting to kg.
=0.001kg
How many mls is in 1g?
1ml
Simples:)
How many nanograms in 1 microgram?
1000ng
Micro is to the power of -6 while nano is -9, therefore a conversion to nano would add 3 zeros.
How many mls in 1mg?
=0.001ml Convert 1mg to 1g =0.001g 1g=1ml Therefore =0.001ml
What do you do when finding the overall probability of two independent actions?
=Prob(A) x Prob(B)
What do you do when finding the overall probability of two dependent actions?
Prob(A) x Prob(B given A)
Classic example of independent probabilities?
Coin toss
Classic example of dependent probabilities?
Picking coloured marbles from a bag.
Strategy: How would approach a data interpretation Q where you must identify the ‘True’ statement?
- Speed read the info, and read the title of the data to understand what it is measuring.
- Read and understand Q.
3.Go through choices and immediately eliminate.
Elimination: Eliminate statements that are ‘can’t tell’.
=generalisations and non-specific or subjective terms.
Unless it specifically states ‘within the data’ etc - Go through remaining answer choices to eliminate. Some will incl:
-data outwith the scope
-directly False data
BOOM you should have your answer
What should you first be eliminating from ‘pick the true/false statement’ data interpretation Qs?
NOTE: Look for necessity qualifiers in the Q
=Can’t tell choices:
- Generalisations
- Unclear subjective adverbs
- Outside knowledge
Why is this a ‘can’t tell statement’ in data interpretation?
-During the time period (mentioned in data), lung cancer prelevance was at a all time low.
-Although it may be the time period of the data from the ‘sample group’, it only shows you a set of people NOT all the people.
Formulae for perimeter of a circle…
2(3.14)r
Formulae for area of a circle…
(3.14)r^2
Parallelogram perimeter…
sum of 4 sides
Parallelogram area…
base x height
Volume of a cube…
length cubed i.e
LxLxL
Volume of a cuboid (3D rectangle)…
LxWxH
-other names are base and depth
Volume of a cylinder…
(3. 14)r(^2)h
- Think area of a circle x by the depth/height
Volume of a sphere…
4/3 x (3.14)r^3
How many mls in 1cm^3?
=1ml
Simples:)
How many kg in 1 tonne?
1000kg
How many cm^3 in 1m^3?
1,000,000
-think 2 lots of 00 (centi) three times (cubed).
4 squared
16
2 squared
4
3 squared
9
5 squared
25
6 squared
36
7 squared
49
8 squared
64
9 squared
81
10 squared
100
11 squared
121
12 squared
144
13 squared
169
14 squared
196
15 squared
225
16 squared
256
17 squared
289
18 squared
324
19 squared
361
20 squared
400
1/8 as a percentage
12.5%
25% as a fraction
1.4
0.33 as a fraction
1/3
What does mark up mean? When do you usually hear this term?
Markup= 100% + %increase
i. e When there is an increase on top of the 100%.
- Comes up in tax and other bank Qs.
If a set’s Qs always mentions a variable (e.g assuming there was no car damage) and then stops- what should you do?
This hints that car damage is therefore possible. Noticing this will speed things up.
note: If the info with the set mentions a variable- consider scanning the Qs quickly to look for these mentions. Might help you with the first Qs in the set.
What is fixed rate interest?
=(%increase of OG) x n
where OG is original amount i.e the amount you put into the account; and n= the number of years.
-Type of banking
-you will get the same annual increase per year.
What is compound interest?
=(100% + %increase^n) of OG
where n is the number of years and OG is the original amount.
e.g increase of 3.5%
=1.35 x OG
- Type of bank account
- When the interest increases each year
What is 5% of 1000?
=50 1. What is 10%? Tip- take away 1 zero = 100 2.What is therefore 5%? Tip- do a proportion in your head 10% - 100 5% - 1/2 x 100 =50 DO NOT USE A CALCULATOR!!!
What is 80% of 20000?
= 1. What is 10% Tip: Take away zero. Using commas may help you.So: 20,000 --> 2000 2.What is 80%? a) Multiplying 10% by 8 isn't pretty in our heads- loadsss of zeros b) What is 20%? Tip- think proportions --> x2 = 4000 c)Therefore, what is 80%? Tip- think proportions again --> x4 16000
0.125 as a fraction?
1/8
1/3 as a percentage?
33%
2x2
4
2x3
6
2x4
8
2x5
10
2x6
12
2x7
14
2x8
19
2x10
20
2x11
22
2x12
24
Formulae for surface area of a sphere
=4(3.14)r^2
How to calculate surface area of a sphere from its volume?
=(3V)/r
where V=volume and r=radius
How to calculate volume of a sphere from surface area?
=(SA x r) / 3
where SA= surface area, r=radius
Formulae for surface area of a box
=2(area of face 1) + 2(area of face 2) + 2(area of face 3)
i.e addition of all the faces. Each area is repeated twice (Right and left; Top and bottom; Front and back)
Formulae for the surface area of a cylinder
2(3.14)r(r+h)
How to calculate 15 x A (when you only know up to 12 times table)?
= (12 x A) + (3 x A)
3x2
6
3x3
9
3x4
12
3x5
15
3x6
18
3x7
21
3x8
28
3x9
27
3x10
30
3x11
33
3x12
36
4x2
8
4x3
12
4x4
16
4x5
20
4x6
24
4x7
28
4x8
32
4x9
36
4x10
40
4x11
44
4x12
48
5x2
20
5x3
15
5x4
20
5x5
25
5x6
30
5x7
35
5x8
40
5x9
45
5x10
50
5x11
55
5x12
60
6x2
12
6x3
18
6x4
24
6x5
30
6x6
36
6x7
42
6x8
48
6x9
54
6x10
60
6x11
66
6x12
72
7x2
14
7x3
21
7x4
28
7x5
35
7x6
42
7x7
49
7x8
56
7x9
63
7x10
70
7x11
77
7x12
84
8x2
16
8x3
24
8x4
32
8x5
40
8x6
48
8x7
56
8x8
64
8x9
72
8x10
80
8x11
88
8x12
96
9x2
18
9x3
27
9x4
36
9x5
45
9x6
54
9x7
63
9x8
72
9x9
91
9x10
90
9x11
99
9x12
108
11x11
121
11x12
132
12x2
24
12x3
36
12x4
48
12x5
60
12x6
72
12x7
84
12x8
96
12x9
108
12x10
120
12x11
132
12x12
144
2 cubed
8
3 cubed
27
4 cubed
64
5 cubed
125
6 cubed
216
7 cubed
343
8 cubed
512
9 cubed
729
10 cubed
1000
Area of a trapezium
1/2 x (Sum of the parallel sides) x height/base
What is a trapezium?
A quadrilateral with at least one pair of parallel sides with one longer than the other.
What is the and/or rule in probability?
And= multiply Or= add
