Maths (Number + Basic Algebra)

Set theory
1. a collection of distinct entities regarded as a unit, being either individually specified or (more usually) satisfying specified conditions
2. Terms and Symbols
  1. A ∩ B (Intersection)
    1. the new set that contains every element that is in both of the input sets
  2. A ∪ B (Union)
    1. the new set that contains every element from either of A and B
  3. ~A (Not A)
    1. the new set gets everything that is in the universe but is outside of A
  4. A – B (A minus B)
    1. if it's in A and not in B, then it goes into the new set
  5. ~(A U B) (Not A and B)
    1. the new set gets everything that is outside A and B
  6. ~(A n B) (Not A overlap B)
    1. the new set contains everything outside of the overlap of A and B
Percentages
1. ‘percentage’ means ‘number of parts per 100’
2. 15% of 120 = 100 15 x 120
Ratio and Proportion
1. Share £416 in the ratio 4:3:1
  1. 208 : 156 : 52
Degree of Accuracy
1. Upper and Lower Bounds
  1. piece of wood is 12cm long
    1. LB = 11.5cm
    2. UB = 12.5cm
2. Significant Figures
  1. 0.0000058763 correct to 2 significant figures
    1. 0.0000059
  2. 368249 correct to 1 significant figure
    1. 400000
Standard Form
1. express numbers in the form a × 10n where n is an integer and 1 ≤ a < 10
  1. 150 000 000 = 1.5 x 10^8

Resource summary

	Created by Zhiwei Yan about 6 years ago