HOCUESA MATHS PAPER

HOCUESA JOINT MATHEMATICS CONTEST…UNIVERS ITY OF ELDORET…JANUARY 2015.

HOCUESA MATHEMATICS CONTEST AT UNIVERSITY OF ELDORET DAT: 31 ST JANUARY 2015 a) b) c) d) e)

TIME: 2 HOURS

INSTRUCTIONS This paper contains 21 questions. Answer ALL questions on the space provided at the last page. Write your name, gender and your admission number on the answer sheet. KNEC mathematical tables may be use where necessary. Non-Programmable silent electronic calculators may be used.

QUESTIONS 1. Use mathematical tables to evaluate

 22.74  27.691 0.9      2.278  1 .8032   to three significant figures. 2. Find

the

equation

of

a

line

which passes

through the

point of

interception of

the

lines

x  3 y  4 and 3x  y  2 and is perpendicular to the line 3x  4 y  0 . Write your in

y  mx  c

the form 3. The height of 55 bean plants was measured to one decimal place and their heights recorded as below. 4.2 ≤x