Math Flashcards
(244 cards)
1
Q
What are natural numbers, whole numbers, and integers?
A
2
Q
What are the rules for negative exponents?
A
3
Q
What are the rules of negative roots?
A
4
Q
What does PEDMAS stand for?
A
5
Q
How do you determine the number of integers in an interval?
A
6
Q
How do you determine the sum of integers in an interval?
-formula
-pattern
-ingenuity
A
7
Q
What are factors?
A
8
Q
What are even and odd numbers?
A
9
Q
Is 0 is even or odd?
A
Even
10
Q
What are the rules of:
even +/- even?
odd +/- odd
even +/- odd
A
11
Q
What are the rules of:
even * even
odd * odd
even * odd
A
12
Q
How do you determine the number of multiples in an interval?
A
13
Q
What are the divisibility rules of 0 - 9?
A
14
Q
What are the prime numbers from 1 to 100
A
15
Q
What is prime factorisation?
A
16
Q
How do you know whether n is a prime?
A
17
Q
What are the factors of factorials?
A
18
Q
What are the non-factors of factorials?
A
19
Q
How many n in a factorial?
A
20
Q
What does trailing zeroes mean?
A
21
Q
Why is zero weird?
A
22
Q
What does always more primes mean?
A
23
Q
What are the number of factors with prime factors?
A
24
Q
What are the number of odd/even factors?
A
25
How do you find the greatest common factor with prime factorisation?
26
How do you find lowest common multiple with prime factorisation?
27
What are quotients and remainders?
28
What are some weird remainder stuff?
29
What are remainder patterns?
30
What are the rules of remainders and addition?
31
How do fractions work?
32
How do you add and subtract fractions?
33
How do you multiply and divide fractions?
34
What are irrational numbers?
35
How does the decimal system work?
36
What are non-terminating decimals?
37
What are non-repeating decimals?
38
How do you convert a decimal to a fraction?
39
How do you round decimals?
40
What are the exponent rules 1?
41
What are the exponent rules 2?
42
What are roots?
43
How can roots be written as fractional roots?
44
What are roots operations?
45
How do you simplify roots?
46
What are real numbers?
47
What are the 1 - 4 properties of real numbers?
48
What are the 5 - 8 properties of real numbers?
49
What are the 9 - 12 properties of real numbers?
50
What is absolute value?
51
What are the three ways to write ratios?
52
What are proportions?
53
What is the definition of percents?
54
What is percent increase/decrease formula?
55
What are some quick calculations of percents?
56
How do you convert fraction/decimal/percent/ratio?
57
What is an algebraic expression?
58
What are polynomials and degrees?
59
How do you simplify expressions?
60
What are the 5 algebraic identities?
-ca + cb =
-ca - cb =
-(a+b)^2 =
-(a-b)^2 =
-a^2 - b^2
61
What are linear equations?
62
What are absolute value equations?
63
What is a system of equations?
64
What is the elimination method in algebra?
65
What is the substitution method in algebra?
66
What are the three possibilities in system of equations?
67
What is the quadratic formula?
68
What is the discriminant?
69
How do you factor the quadratic formula?
70
How do you complete the square?
71
What are absolute value quadratics?
72
What are the symbols in inequalities?
73
How do you solve inequalities?
74
What does inequality flipping involve?
75
What are functions?
76
What is domain and range?
77
What are even and odd functions?
78
What is the formula for simple interest?
79
What is the formula for compound interest?
80
How do you solve mixture problems?
81
What is the mixture trick?
82
How do you solve distance problems?
83
How do you calculate relative speed?
84
How do you approach work/rate problems?
85
What is the xy co-ordinate plane?
86
What are the different lines and curves on the co-ordinate plane?
87
What are reflections on the co-ordinate plane?
88
What is symmetry on co-ordinate plane?
89
What is the distance formula on the co-ordiante line?
90
What are lines and intercepts on the co-ordiante plane?
91
How do you calculate slope?
92
What is a very special slope?
93
What is y = mx + b?
94
What is parallel and perpendicular on co-ordiante plane?
95
How do systems of equations relate to co-ordiante plane?
96
How do you graph an inequality?
97
How do you graph two inequalities?
98
How do you graph quadratic equations?
99
How do you do graphing by factoring?
100
How do you graph by completing the square?
101
How do you graph by plotting?
102
How do you find the minimum?
103
How do you graph the discriminant and the plane?
104
How do you graph circles?
105
How do circles and completing the square relate?
106
How do you graph linear absolute value?
107
How do you graph quadratic absolute value?
108
What is rotating 90 degrees in the co-ordinate plane?
109
What is even functions in co-ordiante plane?
110
What is the odd functions in co-ordiante plane?
111
How do two graphs intersect?
112
How do you go up and down on graphs?
113
How do you go left and right on graphs?
114
How do you go skinnier and wider on graphs?
115
What's a line segment congruent line segments, and a line?
116
What is acute, right, and obtuse angle?
117
What are the angles in parallel lines?
118
What are polygons?
119
What are the 3 rules regarding degrees of a triangle?
120
What is the sum of interior angles in a polygon?
121
What is the sum of exterior angles in a polygon?
122
What are the angles in a regular polygon?
123
What is a right, equilateral, and isosceles triangle?
124
What is angle vs side-length in a triangle?
125
What is the triangle inequality theorem?
126
What is the area of a triangle?
127
What is triangle congruency?
128
What is the second rule of triangle congruency?
129
What is the pythagorean theorem?
130
What are pythagorean triplets?
131
What is a 30-60-90 triangle?
132
What is a 45-45-90 triangle?
133
What is the area of an equilateral triangle?
134
What are similar triangles?
135
What are quadrilaterals?
136
What are the properties of quadrilaterals?
137
How do you divide quadrilaterals?
138
What is the area of a square/rectangle?
139
What is the area of a parallelogram?
140
What is the area of a trapezoid?
141
What is the area of a regular hexagon?
142
What is the area of a regular polygon?
143
How do you maximise polygon area?
144
What is the max area of a polygon given the perimeter?
145
What is the centre, radius, diameter, and circumference of a circle?
146
What is central angle?
147
What is a sector in a circle?
148
What is a chord in a circle?
149
What is an arc in a circle?
150
What is the magic ratio when it comes to circles?
151
How do you approximate pi?
152
What is the central angle theorem of circles?
153
How do you calculate circumference of a circle?
154
How do you calculate length of an arc given an angle of a circle?
155
How do you calculate area of a circle?
156
How do you calculate the area of a sector given the angle of a circle?
157
What is a tangent line in a circle?
158
How do you find the length of a chord in a circle?
159
What does it mean if a polygon is inscribed inside a circle?
160
How do you maximise the area of an inscribed polygon within a circle?
161
What are concentric circles?
162
What 3D figures might you see on the test?
163
What is the formula for volume of a cube?
164
What is the formula for surface area of a cube?
165
What is the formula for volume of a rectangular solid?
166
What is the surface area of a rectangular solid?
167
What is the volume of a right cylinder?
168
What is the surface area of a right cylinder?
169
How do surface and volume relate to each other?
170
What is the diagonal of a cube?
171
What is the diagonal of a rectangular solid?
172
How do you calculate the volume and surface area of stacked cubes?
173
What is the difference between standard table, frequency distribution, and relative frequency distribution?
174
What are the different types of bar charts?
175
What is a pie chart, scatter plot, and line graph?
176
What is mean, median, and mode?
177
How do you calculate mean/average?
178
What is median?
179
What is mode?
180
What is the relationship between mean/median?
181
What is weighted mean?
182
What are measures of position?
183
What are quartiles?
184
What are Q values with regards to quartiles?
185
What is percentile?
186
What is a measure of dispersion?
187
What is range?
188
What is interquartile range?
189
What are boxplots?
190
What is standard deviation?
191
How do you calculate standard deviation?
192
How do you calculate standard deviation in a complex way?
193
What is population vs sample standard deviation?
194
What are the changes to standard deviation and what do they mean?
195
What are changes to standard deviation involving multiplication and division?
196
What is standardisation?
197
What are sets and what are lists?
198
What is an empty set, number of elements in a set, and a subset?
199
What are intersections and unions?
200
What are the two extremes of sets/lists/etc?
201
What is the inclusion-exclusion formula?
202
What is the difference between a venn diagram and a table?
203
What are the features of three overlapping sets?
204
What is the choice method?
205
What is the different between permutations and combinations?
206
What are the words in the question associated with permutations and combinations?
207
What are the formulas for permutations and combinations?
208
What is the formula for permutation?
209
What are permutations with restrictions?
210
How do you approach a 'sitting together' question?
211
How do you approach a subtracting out question?
212
How do you use permutations with repeats?
213
How do you find permutations in a circle?
214
What is the formula for combinations?
215
What is a combinations pattern?
216
How do you approach a more than one group question?
217
How do you convert to letters and words to make questions easier to solve?
218
How do you use 'yes' or 'no' to solve problems?
219
What is the simple formula for probability?
220
How do you equate probability with area?
221
What is the probability of NOT?
222
What are independent events?
223
What are mutually exclusive events?
224
How does probability relate to venn diagrams?
225
226
What does it actually mean for event A and event B to be mutually exclusive?
227
What does it mean for A and B to be independent events?
228
How do you calculate P(A) or P(B) that are mutually exclusive?
229
What are the extremes of probability?
230
How do you combine probability and combinatorics?
231
How do you approach a given probability question?
232
What is expected value with reference to probability problems?
233
What are at least/most questions?
234
What is a random variable?
235
What is relative frequency?
236
What are histograms?
237
What is a probability distribution table?
238
What is random variable mean?
239
What is uniform distribution?
240
What is skewness?
241
How does mean, median, and mode relate to curves?
242
What is normal distribution?
243
How does amount of data exist under the curve?
244
