Quantitative Reasoning Flashcards

1
Q

How many grams in 1kg?

A

1000g

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2
Q

How many milligrams in 1g?

A

1000mg

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3
Q

How many micrograms in 1mg?

A

1000micrograms

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4
Q

How many micrograms in 1g?

A

100,000 micrograms

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5
Q

Convert 1kg to volume?

A

=1Litre or 1000ml

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6
Q

Convert 10g to litres

A

Same as converting to kg.

=0.001kg

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7
Q

How many mls is in 1g?

A

1ml

Simples:)

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8
Q

How many nanograms in 1 microgram?

A

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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9
Q

How many mls in 1mg?

A
=0.001ml
Convert 1mg to 1g
=0.001g
1g=1ml
Therefore =0.001ml
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10
Q

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

A

=Prob(A) x Prob(B)

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11
Q

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

A

Prob(A) x Prob(B given A)

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12
Q

Classic example of independent probabilities?

A

Coin toss

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13
Q

Classic example of dependent probabilities?

A

Picking coloured marbles from a bag.

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14
Q

Strategy: How would approach a data interpretation Q where you must identify the ‘True’ statement?

A
  1. Speed read the info, and read the title of the data to understand what it is measuring.
  2. 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
  3. 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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15
Q

What should you first be eliminating from ‘pick the true/false statement’ data interpretation Qs?

A

NOTE: Look for necessity qualifiers in the Q

=Can’t tell choices:

  • Generalisations
  • Unclear subjective adverbs
  • Outside knowledge
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16
Q

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.

A

-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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17
Q

Formulae for perimeter of a circle…

A

2(3.14)r

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18
Q

Formulae for area of a circle…

A

(3.14)r^2

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19
Q

Parallelogram perimeter…

A

sum of 4 sides

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20
Q

Parallelogram area…

A

base x height

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21
Q

Volume of a cube…

A

length cubed i.e

LxLxL

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22
Q

Volume of a cuboid (3D rectangle)…

A

LxWxH

-other names are base and depth

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23
Q

Volume of a cylinder…

A

(3. 14)r(^2)h

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

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24
Q

Volume of a sphere…

A

4/3 x (3.14)r^3

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25
Q

How many mls in 1cm^3?

A

=1ml

Simples:)

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26
Q

How many kg in 1 tonne?

A

1000kg

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27
Q

How many cm^3 in 1m^3?

A

1,000,000

-think 2 lots of 00 (centi) three times (cubed).

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28
Q

4 squared

A

16

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29
Q

2 squared

A

4

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30
Q

3 squared

A

9

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31
Q

5 squared

A

25

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32
Q

6 squared

A

36

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33
Q

7 squared

A

49

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34
Q

8 squared

A

64

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35
Q

9 squared

A

81

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36
Q

10 squared

A

100

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37
Q

11 squared

A

121

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38
Q

12 squared

A

144

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39
Q

13 squared

A

169

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40
Q

14 squared

A

196

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41
Q

15 squared

A

225

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42
Q

16 squared

A

256

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43
Q

17 squared

A

289

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44
Q

18 squared

A

324

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45
Q

19 squared

A

361

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46
Q

20 squared

A

400

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47
Q

1/8 as a percentage

A

12.5%

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48
Q

25% as a fraction

A

1.4

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49
Q

0.33 as a fraction

A

1/3

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50
Q

What does mark up mean? When do you usually hear this term?

A

Markup= 100% + %increase

i. e When there is an increase on top of the 100%.
- Comes up in tax and other bank Qs.

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51
Q

If a set’s Qs always mentions a variable (e.g assuming there was no car damage) and then stops- what should you do?

A

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.

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52
Q

What is fixed rate interest?

A

=(%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.

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53
Q

What is compound interest?

A

=(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
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54
Q

What is 5% of 1000?

A
=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!!!
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55
Q

What is 80% of 20000?

A
=
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
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56
Q

0.125 as a fraction?

A

1/8

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57
Q

1/3 as a percentage?

A

33%

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58
Q

2x2

A

4

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59
Q

2x3

A

6

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60
Q

2x4

A

8

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61
Q

2x5

A

10

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62
Q

2x6

A

12

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63
Q

2x7

A

14

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64
Q

2x8

A

19

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65
Q

2x10

A

20

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66
Q

2x11

A

22

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67
Q

2x12

A

24

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68
Q

Formulae for surface area of a sphere

A

=4(3.14)r^2

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69
Q

How to calculate surface area of a sphere from its volume?

A

=(3V)/r

where V=volume and r=radius

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70
Q

How to calculate volume of a sphere from surface area?

A

=(SA x r) / 3

where SA= surface area, r=radius

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71
Q

Formulae for surface area of a box

A

=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)

72
Q

Formulae for the surface area of a cylinder

A

2(3.14)r(r+h)

73
Q

How to calculate 15 x A (when you only know up to 12 times table)?

A

= (12 x A) + (3 x A)

74
Q

3x2

A

6

75
Q

3x3

A

9

76
Q

3x4

A

12

77
Q

3x5

A

15

78
Q

3x6

A

18

79
Q

3x7

A

21

80
Q

3x8

A

28

81
Q

3x9

A

27

82
Q

3x10

A

30

83
Q

3x11

A

33

84
Q

3x12

A

36

85
Q

4x2

A

8

86
Q

4x3

A

12

87
Q

4x4

A

16

88
Q

4x5

A

20

89
Q

4x6

A

24

90
Q

4x7

A

28

91
Q

4x8

A

32

92
Q

4x9

A

36

93
Q

4x10

A

40

94
Q

4x11

A

44

95
Q

4x12

A

48

96
Q

5x2

A

20

97
Q

5x3

A

15

98
Q

5x4

A

20

99
Q

5x5

A

25

100
Q

5x6

A

30

101
Q

5x7

A

35

102
Q

5x8

A

40

103
Q

5x9

A

45

104
Q

5x10

A

50

105
Q

5x11

A

55

106
Q

5x12

A

60

107
Q

6x2

A

12

108
Q

6x3

A

18

109
Q

6x4

A

24

110
Q

6x5

A

30

111
Q

6x6

A

36

112
Q

6x7

A

42

113
Q

6x8

A

48

114
Q

6x9

A

54

115
Q

6x10

A

60

116
Q

6x11

A

66

117
Q

6x12

A

72

118
Q

7x2

A

14

119
Q

7x3

A

21

120
Q

7x4

A

28

121
Q

7x5

A

35

122
Q

7x6

A

42

123
Q

7x7

A

49

124
Q

7x8

A

56

125
Q

7x9

A

63

126
Q

7x10

A

70

127
Q

7x11

A

77

128
Q

7x12

A

84

129
Q

8x2

A

16

130
Q

8x3

A

24

131
Q

8x4

A

32

132
Q

8x5

A

40

133
Q

8x6

A

48

134
Q

8x7

A

56

135
Q

8x8

A

64

136
Q

8x9

A

72

137
Q

8x10

A

80

138
Q

8x11

A

88

139
Q

8x12

A

96

140
Q

9x2

A

18

141
Q

9x3

A

27

142
Q

9x4

A

36

143
Q

9x5

A

45

144
Q

9x6

A

54

145
Q

9x7

A

63

146
Q

9x8

A

72

147
Q

9x9

A

91

148
Q

9x10

A

90

149
Q

9x11

A

99

150
Q

9x12

A

108

151
Q

11x11

A

121

152
Q

11x12

A

132

153
Q

12x2

A

24

154
Q

12x3

A

36

155
Q

12x4

A

48

156
Q

12x5

A

60

157
Q

12x6

A

72

158
Q

12x7

A

84

159
Q

12x8

A

96

160
Q

12x9

A

108

161
Q

12x10

A

120

162
Q

12x11

A

132

163
Q

12x12

A

144

164
Q

2 cubed

A

8

165
Q

3 cubed

A

27

166
Q

4 cubed

A

64

167
Q

5 cubed

A

125

168
Q

6 cubed

A

216

169
Q

7 cubed

A

343

170
Q

8 cubed

A

512

171
Q

9 cubed

A

729

172
Q

10 cubed

A

1000

173
Q

Area of a trapezium

A

1/2 x (Sum of the parallel sides) x height/base

174
Q

What is a trapezium?

A

A quadrilateral with at least one pair of parallel sides with one longer than the other.

175
Q

What is the and/or rule in probability?

A
And= multiply
Or= add