EXAMEN BIMESTRAL DE MATEMTICAS

UNIDAD EDUCATIVA INTERNACIONAL SEK - ECUADOREALUACIN PARCIAL QUINTO BLOQUEF. Coord: __________

F. de aprob: ________

2014 2015

DEPARTAMENTO: MATEMTICASASIGNATURA: ESTUDIOS MATEMTICOSCURSO: 2do de Bachillerato ___"FECHA: 2015-04-17NOMBRE: ____________________

INDICACIONES GENERALES:

NO UTILICE PARA LAS RESPUESTAS OTRA HOJA QUE NO SEA LA QUE SE LE HA PROPORCIONADO. UTILICE ESFEROGRFICO PARA DESARROLLAR LA PRUEBA. PUEDE USAR CALCULADORA. NO UTILICE CORRECTOR, TODO TACHN O MANCHN ANULA LA RESPUESTA. TRACE UNA LNEA INCLINADA SOBRE EL DESARROLLO NO DESEADO. PUNTAJE TOTAL: 24 PUNTOS Equivalentes a 10 TIEMPO MXIMO PARA ELABORAR LA PRUEBA: 60 MINUTOS.

1. If , , , find the percentage error, correct to two significant figures, that result from calculating Operations:

Answer:a) _____________________

2. A rectangular dog run is to be built on flat ground from a length of 20 meters of wire fencing which forms three sides, the fourth side being part of a straight wooden fence. If the width of the dog run is x m, then the area, A , is given by the rule , for .a) State the values of and .b) Find the maximum area of the dog run.

Operations:

Answers:a) _____________________b) _____________________

3. The velocity, , of objects A at time seconds is given by , .and the velocity, , object B at time t seconds is given by ., a) Find the velocity of each object at b) Find the time taken, correct to one decimal place, for each object to reach a velocity of .c) i) At what point in time do both objects have the same velocity?ii) What is the velocity?

Operations:

Answers:a) _____________________b) _____________________c) i) _______ ii)__________

4. a) In certain country the present income tax system requires payment of tax under the following scheme. IncomeTax payable

Up to $10 000No tax payable

$10 000 and above30% of income in excess of $10 000

i) Calculate the tax payable on an income of $30 000.ii) Calculate the percentage of income that is paid in tax.iii) Calculate the income of a person who pays $4800 in tax.iv) If $y is the tax payable on an income of $x, construct a rule of the form v) Sketch the graph of y against x.b) An alternative system has been suggested by the opposition in this country. Their scheme is as follows:IncomeTax payable

Up to $38 75020% of income

$38 750 and above$7750 + 40% of income in excess of $38 750

i) Calculate the tax payable on an income of $30 000.ii) If $ y is the tax payable on an income of $ x, construct a rule of the form

iii) Sketch the graph of y against x on the same set of axes as (a) vc) Which incomes would pay less tax under the proposed new system?Operations:

Answers:a) i. _____________________ii. _____________________iii. _____________________iv. _____________________b) i. _____________________ii. _____________________c) __________________________________________________________________________________________

a) v) y b) iii)