Jumanne, 30 Julai 2013

SOLUTION TO SERIES 2FORM FOUR WEEKLY MATH’S ANSWER


SOLUTION TO SERIES 2FORM FOUR WEEKLY MATH’S ANSWER




NECTA 2012
SECTION A:
Qn.1 (a)
Solution:
Qn.1 (b)
Solution:
Qn.2 (a)
Solution:
Qn.2 (b) Solve
Solution:
Qn3 (a) Solution:
Qn3 (b) Solution:
Alternatively:
Qn. 4(a) Solution:
Qn. 4(b) Solution:
Qn. 4(c) Solution:
Qn. 5 (a) Solution:
 
Qn. 5(b) (i) Solution:
Qn. 5(b) (ii) Solution:
Qn. 6 (a)
Solution:
Qn. 6(b) Solution:
Qn7. (a) Solution:
Qn7. (b) Solution:
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Qn8. (a)
Solution:

Qn.8 (b) Solution:

Qn9. (a) Solution:
Qn9 (b) Solution:

Qn10. (a) Solution:
Qn. 10 (b) Solution:
SECTION B:
Answer any four (4) questions
Qn11. (a) Solution:
Qn11. (b) Solution:
Qn11. (c) Solution:
Qn11. (d) Solution:
 
1st step:
Prepare the table of values for each inequality:

(e)still to come


Qn12. In a survey of the number of children in 12 houses, the following data resulted : 1,2,3,4,2,2,1,3,4,3,5,3.
Qn12. (a) Solution:

Qn12. (b) Histogram and frequency polygon
THE FREQUENCE POLYGON


Qn.12(c) Solution:
The mean
The mode

Solution:
Mode refers to the value with the highest frequency which in this case is 3
 
Qn13.(a). Solution:

To solve this question first you have to find the outer volume and then you find the inner volume after which you
Deduct the inner volume from the outer volume.
 
12960-11250
=1710cm3



Qn13. (b) Solution:
Qn14.
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Qn. 15(a) Solution:
A singular matrix is a matrix whose determinant is equal to zero.
Hence the value of “k” is either 6or -1/2


Qn.15 (b) Solution:
The reflection in the x-axis is given by

Qn.15 (c) Solution:
solving simultaneous equations by using matrix method.
 



Qn16. (a) Solution:
Draw a tree diagram to show the results of the drawing
Qn. 16(b) Solution:
The probability that both are black is
Qn.16 (c) Solution:
Probability that both are of the same color
Qn. 16(d) Solution:
 

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