Quantitative Reasoning Flashcards by Livvy Sangrithi

How many grams in 1kg?

1000g

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How many milligrams in 1g?

1000mg

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How many micrograms in 1mg?

1000micrograms

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How many micrograms in 1g?

100,000 micrograms

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Convert 1kg to volume?

=1Litre or 1000ml

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Convert 10g to litres

Same as converting to kg.

=0.001kg

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How many mls is in 1g?

1ml

Simples:)

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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.

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How many mls in 1mg?

=0.001ml
Convert 1mg to 1g
=0.001g
1g=1ml
Therefore =0.001ml

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What do you do when finding the overall probability of two independent actions?

=Prob(A) x Prob(B)

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What do you do when finding the overall probability of two dependent actions?

Prob(A) x Prob(B given A)

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Classic example of independent probabilities?

Coin toss

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Classic example of dependent probabilities?

Picking coloured marbles from a bag.

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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

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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

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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.

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Formulae for perimeter of a circle…

2(3.14)r

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Formulae for area of a circle…

(3.14)r^2

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Parallelogram perimeter…

sum of 4 sides

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Parallelogram area…

base x height

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Volume of a cube…

length cubed i.e

LxLxL

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Volume of a cuboid (3D rectangle)…

LxWxH

-other names are base and depth

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Volume of a cylinder…

(3. 14)r(^2)h

- Think area of a circle x by the depth/height

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Volume of a sphere…

4/3 x (3.14)r^3

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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

2 squared

3 squared

5 squared

6 squared

7 squared

8 squared

9 squared

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

2x3

2x4

2x5

2x6

2x7

2x8

2x10

2x11

2x12

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

3x3

3x4

3x5

3x6

3x7

3x8

3x9

3x10

3x11

3x12

4x2

4x3

4x4

4x5

4x6

4x7

4x8

4x9

4x10

4x11

4x12

5x2

5x3

5x4

5x5

5x6

5x7

5x8

5x9

5x10

5x11

5x12

6x2

6x3

6x4

6x5

6x6

6x7

6x8

6x9

6x10

6x11

6x12

7x2

7x3

7x4

7x5

7x6

7x7

7x8

7x9

7x10

7x11

7x12

8x2

8x3

8x4

8x5

8x6

8x7

8x8

8x9

8x10

8x11

8x12

9x2

9x3

9x4

9x5

9x6

9x7

9x8

9x9

9x10

9x11

9x12

108

11x11

121

11x12

132

12x2

12x3

12x4

12x5

12x6

12x7

12x8

12x9

108

12x10

120

12x11

132

12x12

144

2 cubed

3 cubed

4 cubed

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 ```