Electrical Installation Craft Question Paper

Electrical Installation Craft

Course:Certificate In Installation Engineering (Installation Engineering)

Institution: Kenya Power Training School question papers

Exam Year:2010

1202/311
MATHEMATICS

June/July 2008
Time 3 hours
THE KENYA NATIONAL EXAMINATION COUNCIL
ELECTRICAL INSTALLATION CRAFT
MATHEMATICS
3 hours

INSTRUCTIONS TO CANDIDATES
You should have the following for these examinations.
Answer booklet
Mathematical table/calculator
Answer any FIVE of the following EIGHT questions.
All questions carry equal marks.

1. (a) A lady borrowed Sh 12,460 from a bank offering simple interest of 10% p.a.
Calculate:
i. The time will take to pay back Sh 20,750 to the bank.
ii. The total amount she would pay to the bank if she took 5 years
(5 marks)

(b) A man deposited Sh 8940 in a bank offering a compound interest of 8% p.a. He then
Added Sh 5000 to his saving after 4 years. Calculate:
i. The amount after a total of 6 years.
ii. The interest after a total of 8 years.

7marks
(c) (I) the lengths of nails from a factory form a geometric progression. A sample of 5 nails was selected. The shortest nail was 4mm and the longest was 16mm. Calculate the lengths of the other nails.
(ii) In an arithmetic progression, the sum of the 4th and 8th terms is 115. The sum of the 6th and 12th terms is 130. Determine the 10th term.
8 marks

2. (a) solve the equation 4x2+3x-20=0
3 marks
(b) Bus A started its journey at 9.45am from Nema to Meka a distance of 400km. Bus B travelling at 5km/h faster than bus A departed from Nema at 9.00am. The two buses reached Meka at the same time. Calculate the speed of each bus.

(c)The value of b is directly proportional to the value of x. the value of p is indirectly proportional to the value of x. When x is 4 the sum of the band p is 165. When x is 5, b is greater than p by 196. Calculate the total of b and p when x is 2.
9 marks

3. (a) made C the subject of the formula

CT =mv (C2 x + n)

Hence calculate the value of C when T=20, m =2, x =20, and n=100

9 marks

(b) (I) solve the following simultaneous equations

2a2 + 3b2 = 35
4a2 – 10b2 = 54

a) (ii) A man spent a total cost of sh 6400 by buying 4 pens and 12 books. The cost of the pen is one fifth that of the book. Calculates the total cost of buying 10 pens and 6 books.
13 marks

4. The lives of bulbs from a factory were recorded as given in the table.

Life(hours) 100-150 151-201 202-252 253-303 304-354 355-405
Number of bulbs 18 23 49 18 22 5

Calculate
a) Mean life and standard deviation using an assumed mean of 227hrs. 9 marks
b) (i) mode
(ii) semi-interquartile range
11 marks

5. (a) A man bought 20kg of maize and 30kg of beans at a total cost of sh 2500 from a cereals shop. A lady bought from the same shop 40kg of maize and 50kg of beans at a total of sh 4400. Form a matrix equation from the data. Hence use matrix inverse method to calculate the prices of a kilogram of maize and beans.
8 marks

(b) Tito,Kato and Pato started a business that realized a profit of sh 120,575. The profit was shared such that Tito’s share to kato’s share was 2:3. Kato’s share to pato’s share was 4:5 C calculate the amount each received.
6 marks
(c) A sales person receives a basic salary of sh 42000 per month plus a commission of 10% of the total amount of sales in the month, Calculate the
i. Total earning per month when sales are sh 800,000.
ii. Total sales when the total earning are 137,087
6 marks

6. (a) An area is enclosed by the curve y = 2x2 + 3, the x- axis and the line x = 2. Using the trapezoidal rule with 9 ordinates calculate the area.
6 marks
(b) Two circles of radii 15cm and 10cm intersect with 18cm as the distance between their centres. Calculate the area enclosed by the circles

14 marks
7. (a) Solve the equation 4sin2x + 8 cosx - 1 = 00= x = 3600.
(b) Alternating currents are given by i1 = 20sin 40t and i2 = 30cos (40t – p/4). Solve the equation i1+i2 = 8 for 0= t = p
9 marks

(c)Three forces of magnitude 40N, 30N, and 60N acting at a point have bearing of 1080, 1900, and 3000 respectively.
Calculate the resultant force.
6 marks

8. (a) A bag contains 5 red balls, 4 yellow balls, and 3 green balls.
Two balls are selected from the basket without replacement. Calculate
(i) Of different colours
(ii) The same colours.
6 marks
(b) Figure 1 is a solid triangular prism with ends of length AB =AC=12cm BC=10cm and CD = 19cm

Calculate
(i) its volume
(ii) The total surface area
8 marks

(c) A tourist came to Kenya from United States carrying 400 dollars to buy curio. He converted all the dollars into Kenya shillings at a commission of 2% in a bank. He bought goods worth ksh 20,000. He then reconverted in the same bank his balance. calculate his balance in dollars and the commission the bank received given that $1 = Ksh 76
6 marks

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