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Bennett's inequality, an upper bound on the probability that the sum of independent random variables deviates from its expected value by more than any specified amount Bhatia–Davis inequality , an upper bound on the variance of any bounded probability distribution
The UKMT runs a series of mathematics challenges to encourage children's interest in mathematics and to develop their skills. The three main challenges are: Junior Mathematical Challenge (UK year 8/S2 and below) Intermediate Mathematical Challenge (UK year 11/S4 and below) Senior Mathematical Challenge (UK year 13/S6 and below) [2]
For instance, to solve the inequality 4x < 2x + 1 ≤ 3x + 2, it is not possible to isolate x in any one part of the inequality through addition or subtraction. Instead, the inequalities must be solved independently, yielding x < 1 / 2 and x ≥ −1 respectively, which can be combined into the final solution −1 ≤ x < 1 / 2 .
The National Curriculum for England is the statutory standard of school subjects, lesson content, and attainment levels for primary and secondary schools in England. It is compulsory for local authority-maintained schools, but also often followed by independent schools and state-funded academies.
In mathematics, an inequation is a statement that an inequality holds between two values. [1] [2] It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between them indicating the specific inequality relation. Some examples of inequations are:
The assessments were introduced following the introduction of a National Curriculum to schools in England and Wales under the Education Reform Act 1988.As the curriculum was gradually rolled out from 1989, statutory assessments were introduced between 1991 and 1995, with those in Key Stage 1 first, following by Key Stages 2 and 3 respectively as each cohort completed a full key stage. [2]