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:

 

1^st 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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