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In chess swap problems, the whites pieces swap with the black pieces. [9] This is done with the pieces' normal legal moves during a game, but alternating turns is not required. For example, a white knight can move twice in a row. Capturing pieces is not allowed. Two such problems are shown below.
Grade retention or grade repetition is the process of a student repeating a grade after failing the previous year. In the United States of America, grade retention can be used in kindergarten through to third grade; however, students in high school are usually only retained in the specific failed subject. For example, a student can be promoted ...
Kirkman's schoolgirl problem is a problem in combinatorics proposed by Thomas Penyngton Kirkman in 1850 as Query VI in The Lady's and Gentleman's Diary (pg.48). The problem states: Fifteen young ladies in a school walk out three abreast for seven days in succession: it is required to arrange them daily so that no two shall walk twice abreast. [2]
The double "is", also known as the double copula, reduplicative copula, or Is-is, [1] [2] is the usage of the word "is" twice in a row (repeated copulae) when only one is necessary. Double is appears largely in spoken English, as in this example: My point is, is that...
The "nine dots" puzzle. The puzzle asks to link all nine dots using four straight lines or fewer, without lifting the pen. The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen or retracing any lines.
The content ranges from extremely difficult algebra and pre-calculus problems to problems in branches of mathematics not conventionally covered in secondary or high school and often not at university level either, such as projective and complex geometry, functional equations, combinatorics, and well-grounded number theory, of which extensive knowledge of theorems is required.
For example, repeated numbers appearing across different draws may appear on the surface to be too implausible to be by pure chance. For instance, on September 6, 2009, the six numbers 4, 15, 23, 24, 35, and 42 were drawn from 49 in the Bulgarian national 6/49 lottery, and in the very next drawing on September 10th, the same six numbers were ...
For example, a small group of young students may be taught reading skills above their official grade level. Ungraded school – A school system that rejects age-based grade levels and teaches students in mixed-age classes, based on their individual achievement in each separate subject. For example, a class that teaches writing at what would ...