Number Flashcards
(161 cards)
1
Q
What is the product rule for counting?
A
2
Q
How would you approximate / estimate this calculation?
A
3
Q
How do you find the highest common factor and lowest common multiple of two numbers?
A
4
Q
How do you find the prime factors of a number ?
A
Create a tree
5
Q
How do simplify Surds ?
How do you simplify multiple of Surds?
A
- find the largest square number that they will be divisible by
6
Q
How do you expand two sets of single brackets , where the second bracket has a negative co efficient
A
7
Q
How do you expand brackets using indice laws?
A
8
Q
Can this be further simplified
A
9
Q
How would you approximate a solution to an equation using iteration?
A
10
Q
How do you show that an equation has a solution between two numbers ?
A
11
Q
How do you use the iteration formula to find an estimate to the solution ?
A
Not as complicated as it looks,
You just slot in the values as the iteration formula is just a re arrangement of the solution
12
Q
What are geometric sequences , and how do you find out the nth term?
A
13
Q
What is the nth term for this sequence
A
14
Q
How do you calculate the mean from ungrouped frequency tables?
A
15
Q
How do you estimate the mean from grouped frequency tables ?
A
16
Q
How do you find the range from ungrouped frequency tables?
A
17
Q
How do you draw frequency polygons ?
A
- use mid point
*don’t draw the line to the origin
18
Q
How do you convert an equation involving two variables ?
A
When using ratios in complex mode, convert to fractions and cross multiply
19
Q
How do you determine a percentage from a fraction?
A
20
Q
Describe the corresponding , co interior and alternate angles
A
21
Q
How do you find the sum of angles in polygon , given sides ?
A
22
Q
How do you find the size of exterior angles of a regular polygon?
A
23
Q
How do you find the interior angles of a regular polygon?
A
24
Q
What are the angles of elevation and angles of depression?
A
25
How do find the equation of a straight line , given it’s two points
1. Find gradient
2. Use this to find the y intercept
3. Write equation without x and y values
26
How do you find the acceleration of a curved line?
You draw a tangent and find the gradient of the tangent .
A tangent only touches the line at one point
27
How do you find the ‘average ‘ rate of decrease?
Connect the two points with a straight line
28
How would you estimate the area under a curved line?
Split it up into smaller ‘strips’ , basically shapes
Are find the area of these linear shapes
29
How would you find the x or y intercept from an equation?
X+ 2y= 3
30
How would you find the co ordinates of a line segment?
The same applies when calculating the midpoint
31
How would you find the the gradient for the equation
2y+3x=4
32
How would you find the length of PQ
To find Point P you use simultaneous equations , as the two lines face a similar point
33
Describe the shape of cubic , exponential , reciprocal and quadratic graphs
34
What is the y intercept of exponential graphs?
35
What is the equation of a circle , when the centre of the circle is at the origin ?
36
How would you find the constants ?
You would use simultaneous equations, but instead if adding and subtracting you would use multiplication/division.
37
How would you find the approximate solutions of a quadratic equation from the graph of the corresponding quadratic function?
38
How do you calculate volume of a prism?
39
How do you calculate the volume of a pyramid?
40
How do you calculate the surface area of a cylinder?
41
How do you find the the upper and lower bound ?
Add or subtract half the accuracy
42
What is the difference between rounding and truncating?
Calculate the error interval of each with 3.5 to 1 d.p
Truncating is just cutting off, no matter what the end value is. Rounding considers the
43
How do you draw the front elevation , side elevation or plan of a 3D Shape
44
What are plans , front and side elevations?
The plan is the view from the top of a 3D solid
Elevations are horizontal views of a 3D object
45
How do you draw a 3D shape from the plan , side and front elevation?
46
What do these inequalities on a number line show ?
47
How do you simplify two ended inequalities?
48
What is the formula, for probability?
49
How would you solve this probability question?
50
What is the sum of all possibility outcomes ?
1
51
What are the probability notations , for intersection and union
52
What is the ratio method for proportion?
53
How do you solve compound rate questions?
54
How do you prove that two shapes are congruent?
What would be the structure of your proof?
Why ares like common justifications used
AAA, ASA, RHS(right angle , hypotenuse , side ), SSA
55
Describe fully the single transformation that maps shape A onto shape B
56
Enlarge the triangle with a scale factor of -1/3 using (3,1) as the centre of enlargement
57
What is angle OCA and why?
90°
Because the tangent meets the radius at 90°
58
Prove that angle OCA is 90°
59
What is angle COA and why?
2x , because angles at the centre are twice the angles at the circumference
60
Prove that angle COA is 2x
61
What is angle ABC and why ?
90° , because angles in a semi circle are always 90°
62
Why is angle ABC 90°
63
If angle CDA is 80° what is angle ABC?
100° , because opposite angles in a cyclical quadrilateral add up to 180°
64
If angle BAC is 85, then what is angle BDC?
85°. Because angles from the same segment are equal
65
Why is angle BDC also x ?
66
If angle DBQ is 65° what is angle BCA?
65°, because of the alternate segment theorem
67
Why is angle BCA = angle DBQ?
68
How do you calculate the volume of a frustum?
69
What is the quadratic formula?
70
Factorising difference of two squares
71
If CA =8cm , what is AB and why?
8cm , because two tangents from the same point are equal
72
How do you convert time to decimal? ,
73
How would you draw a cumulative frequency graph?
74
How do you find the median class, from the cumulative frequency graph?
75
How do you find the perimeter and area of a sector?
76
How do you calculate the area and perimeter of a segment?
77
Draw the tan graph
78
How do you calculate the area of a kite ?
Ab/2
79
How do you calculate the area of a trapezium?
80
What is the difference between
mutually exclusive events and independent events?
Mutually exclusive events cannot take place at the same time.
Eg : when flipping a coin you cannot get heads AND tails at the same time
You can always find the intersection using the AND rule
Independent events don’t rely on the previous events , but you can do both
81
How do you solve linear/arithmetic sequences ?
82
How do you solve quadratic sequences?
83
What is the product counting rule ?
84
How do you draw box plots?
85
Compare the following box plots
86
How do you calculate percentage change ?
87
What are the reverse percentages?
Basically just ratios
88
How do you turn recurring decimals into fractions?
*dot notations
89
How do you describe the effect of a transformation from f(x) to f(x+a)?
90
Describe the Transformation from f(x) to f(x) +a
91
Describe the transformation from
f(x) to f-(x)
f(x) to f(-x)
92
93
What is the difference between bar charts and histograms ?
Bar charts are for distress data and histograms are for continuous data
94
How would you use a histogram to complete a table?
95
How would you use a histogram to complete a table?
Find the column of the ‘known data’ , then use this to find the f.d. Use this to figure out the y axis, by dividing the total amount of squares underneath it.
96
How would, you solve this histogram , Q where the table is not given ?
You just draw the table yourself ,
97
what are the law of indices ?
98
How would you solve these adding Surds questions tho?
99
How do you solve negative powers?
100
Prove this indices rule?
101
simplify
102
How do you draw cumulative frequency graphs from a frequency table?
And then find the median
103
How do you find the median , upper , lower and interquartile range when given a range of values ?
Use the total. If it is one less than a multiple of 4 , when add 1.
104
How would you find the median of a frequency table ?
105
How would you sketch the graph of this quadratic function?
106
how would you identify if a quadratic equation has roots?
The roots are how many times it touches the x axis.
Perfect squares on,y have one root
107
How would you determine the function of an equation from it’s graph?
108
How do you solve quadratic inequalities?
109
How do you find the line of symmetry of a quadratic graph?
You find the Turing point ,
And then from the x axis value write the verticals line as
X= value
110
How do you solve regional inequalities?
* sorry ignore diagram, the or equal to have solid lines , but the (<> ) only have dashed lines.
111
How would you find the equation of the tangent of the circle , given the tangent of the circle
Find radius gradient , and then remember that the tangent acts at 90° to the radius
(The gradient will be the negative reciprocal)
112
How do you find the equation of a circle ?
113
How do you prove that vectors are parallel.
How do you prove that vectors are on a straight line?
They will be multiples of each other.
They will be parallel, and will share a common point
114
angles in a paralellogram ?
opposite angles are equal
115
angles in a kite?
the inner opposite angles are equal
*only one set of angles are similar
116
How would you get the area of a similar shape given the volume ?
117
What is the ‘curved surface area’?
The area of the curved part only , *not the flat top / base
118
How would you solve this simultaneous equation?
119
How do you multiply scalar vectors ?
120
Solve the following hexagonal vectors
121
What is an invariant point ?
A point that has the same co ordinates before and after a transformation
122
123
124
125
Ratios Q
126
Ratios Q
127
Ratios Q
128
How do you calculate the area of a hexagon?
129
130
131
What does it mean when a line is parallel ?
Eg: equation is y=2x+2 going through the point (1,2)
When the line is parallel, it means the gradient (m) is the same , but the y intercept (c) would obviously change.
2=2(1)+c
2-2=c
C=0
Equation is
Y=2x
132
133
How do you find the interquartile range from a cumulative frequency graph?
134
How do you find the interquartile range from a cumulative frequency graph?
135
136
Calculate the instantaneous rate
137
138
What is the formula for the estimated median /UQ/LQ ?
139
estimate the median
140
Estimate the mean 😁
141
142
143
144
145
146
What is a “curved surface area”?
The area of the curved part , leaving the flat base /bottom
147
148
149
Vector question
150
151
152
Regular hexagon area
153
154
What is the difference between congruence and similarity ?
Congruence is when there has to be SSS! ASA, SSA (same shape and size)
Similarity is when it’s AAA (one is an enlargement of the other)
155
Properties of a square
156
Properties of a rectangle
157
Parallelogram
158
Rhombus
159
Trapezium
160
Kite
161
Kite
