Common Entrance 13+ Maths Revision
... Use understanding of place value to multiple and divide whole numbers and decimals by 10, 100 and 1000. Order, add and subtract negative numbers. Use all four operations (addition, subtraction, multiplication and division) with decimals to two places (including rounding to 1 or 2 decimal places). Wh ...
... Use understanding of place value to multiple and divide whole numbers and decimals by 10, 100 and 1000. Order, add and subtract negative numbers. Use all four operations (addition, subtraction, multiplication and division) with decimals to two places (including rounding to 1 or 2 decimal places). Wh ...
Full text
... D is odd. Conditions (2) and (3) are easily checked. Note that because p odd, (p, P) = 1 or D = n, we have p 2 - P - 4p = ±2 3, with the latter a possibility only if we take the bottom signs. However, (p, P) = 3 implies 3|n, contrary to our assumption. Thus, (p, P) = 1. Also, P = ±2, so (y0, P) = 1. ...
... D is odd. Conditions (2) and (3) are easily checked. Note that because p odd, (p, P) = 1 or D = n, we have p 2 - P - 4p = ±2 3, with the latter a possibility only if we take the bottom signs. However, (p, P) = 3 implies 3|n, contrary to our assumption. Thus, (p, P) = 1. Also, P = ±2, so (y0, P) = 1. ...
the right column
... certain elementary properties of rational numbers. For example, if a and b are rational numbers, their average (a+b)/2 is also rational and lies between a and b. Therefore between any two rational numbers there are infinitely many rational numbers, which implies that if we are given a certain ration ...
... certain elementary properties of rational numbers. For example, if a and b are rational numbers, their average (a+b)/2 is also rational and lies between a and b. Therefore between any two rational numbers there are infinitely many rational numbers, which implies that if we are given a certain ration ...
Functions C → C as plane transformations
... 1 First appeared in Ars Magna (1545) by Girolamo Cardano (1501–1576). Ars Magna incorporated the work on the solution of cubic and quartic equations by Tartaglia (Niccolo Fontana 1499–1557), the author, and his assistant Lodovico Ferrari (1522–1565). Cardano’s opinion was that √ complex numbers “are ...
... 1 First appeared in Ars Magna (1545) by Girolamo Cardano (1501–1576). Ars Magna incorporated the work on the solution of cubic and quartic equations by Tartaglia (Niccolo Fontana 1499–1557), the author, and his assistant Lodovico Ferrari (1522–1565). Cardano’s opinion was that √ complex numbers “are ...
