Jumatano, 24 Julai 2013

BIOLOGY SERIES 1


BIOLOGY SERIES 1:
WEEKLY QUESTIONS:
SECTION A
Qn1. For each of the items (i) – (x) choose the correct answer from among the given alternatives and write its letter beside the item number.
(i) The mode of nutrition were one partner is harmed is called:

A. Parasitism
B. Commensalism
C. Symbiosis
D. Mutualism ( )

(ii) The locomotory structure of paramecium is:

A. Pseudopodia
B. Cilia
C. Flagella
D. Legs ( )

(iii) The structure in human that provide balance are located in the:

A. Outer ear
B. Eustachian tube
C. Inner ear
D. Middle ear ( )

(iv) It is internationally accepted that the father of genetics is:

A. Johanson
B. Charles Erasmus Darwin
C. T.H Morgan
D. Gregory Mendele

(v) The components of central nervous system are:

A. The spinal cord and the brain
B. Spinal nerve and spinal chord
C. Sense Organs and the spinal nerves.
D. Cranial and spinal nerves.

(vi) Beta cells found in islets of langerhan located in the pancreas secretes:

A. Insulin hormone
B. Anti- Diuretic Hormone (ADH)
C. Thyroxin hormone
D. Glucagon hormone

(vii) Ectopic pregnancy in most cases takes place in the:

A. Oviduct
B. Uterus
C. Ovaries
D. Fallopian funnel.

(viii) Which of the following structures carries hereditary material:

A. Cytoplasm
B. Nucleus
C. Ribosome’s
D. Golgi bodies ( )

(ix) Among the following list contain the symptoms of malaria:

A. Anemia, cold, diarrhea
B. Vomiting, dizziness, periodic fever.
C. Shivering dizziness loss of weight
D. Diarrhea, vomiting and coughing.

(x) In Biology experiments are used to test for:- 

A. Facts
B. Hypothesis
C. Theories
D. Problems
E. Laws

(xi) Lichens are associations of :-

A. Bryophytes and pteridophytes
B. Algae and Monera
C. Fungi and Plants
D. Fungi and Monera
E. Algae and Fungi.

(xii) Spitting, coughing and sneezing into a tissue paper are considered as:-

A. Risk behavior of spreading diseases
B. Waste disposal method
C. Good manners
D. A way of killing pathogens
E. Environmental pollution

SECTION B:
  1. (a) What is gaseous exchange?
    (b)It is possible to breath by using both the mouth and the nose simultaneously or one of them at a time but one passage is the best.
          1. Which passage is best for breathing?
          2. Give the reason for your answer in 1(b)(i) above.
      1. Differentiate between breathing and gaseous exchange.
      1. (a) Distinguish between the terms “growth” and “development”
        (b) (I) List the environmental conditions that are necessary for germination to take place
              1. Explain why the factors 2(a) are necessary
      1. In an Experiment a variety of garden peas having a smooth seed coat was crossed with a variety having wrinkled seed coat. All the seed obtained in the F1 had a smooth seed coat. The F1 generation was selfed. The total number in F2 was 12,000. Let the gene for smooth seed coat be S.
          1. State the Mendelian first and second LAWS of inheritance.
          2. Work out the genotypes for the F1
          3. Work out the following for the F2
              1. Genotype.
              2. Phenotype.
              3. Genotypic ratio.
          4. Calculate the total number of of the
              1. Wrinkled seed in F2
              2. smooth seed in F2
        1. (a) What do you understand about drug and drug abuse?
          (b) Explain the effect of drug abuse in relation to nervous coordination.
          (c) How will you discourage and eradicate drug abuse in Tanzania. Explain
        2. (a) Using your knowledge of how the kidney functions, explain why in hot weather humans produce more sweat and a smaller volume of darker colored urine while in cold weather humans produce more urine and of pale color

Ijumaa, 19 Julai 2013

WEEKLY TEST SERIES 2 MATHS FORM FOUR NECTA 2012


SERIES 2
FORM FOUR WEEKLY MATH’S QUESTIONS
NECTA 2012
SECTION A:
Qn 1. (a) By using mathematical tables, evaluate 

to three significant figures.
(b)Rationalize

 


 
Qn 2. (a) Find the value of x for which
 

(b) Solve




Qn 3. (a) Mr. Beans lived a quarter of his life as a child, a fifth as a teenager and a third as an adult. He then spent 13 years in his old age. How old was he when he died?

(b) A and B are subsets of the universal set U. Find
given that

 
Qn 4. Given that a= (3, 4), b= (1, -4) and c = (5, 2) determine:
(a) d = a + 4b – 2c;
(b) Magnitude of vector d , leaving your answer in the form ;
(c) The direction of the cosines of d and hence show that the sum of the squares of these directional cosines is one.
Qn 5 (a) If polygons X and Y are similar and their areas are 16 cm2 and 49 cm2 respectively, what is the length of a side of polygon Y corresponding side of polygon X is 28 cm.
(b) (i) show whether triangles PQR and ABC are similar or not.
 
(ii) Find the relationships between y and x in the triangles given above.


Qn 6 (a) The power (P) used in an electric circuit is directly proportional to the square of the (I). When the current is 8 Ampere (A), the power used is 640 Watts (W).

(i)Write down the equation relating power (P) and the current (I).
(ii) Calculate the current I when the circuit uses 360 Watts.

(b) If x*y is defined as . Find (5* - 2)*(3* -4).
Qn7 (a) By selling an article at shs. 22,500/= a shopkeeper makes a loss of 10%. At what price must the shopkeeper sell the article in order to get a profit of 10%.

(b) An alloy consists of three metals A, B, and C in the proportions A:B = 3:5 and B:C = 7:6. Calculate the proportion A:C.

Qn8. (a) If the 5th term of an arithmetic progression is 23 and the 12th term is 37, find the first term and the common difference.

(b) Find the sum of the first four terms of a geometric progression which has a first term of 1 and a common ratio of .

Qn9. (a) Find the length AC from the figure below.
(b) A ladder reaches the top of a wall 18m high when the other end on the ground is 8m from the wall. Find the length of the ladder.

\Qn10. (a) Solve for x if .
 

(b) If the sum of two numbers is 3 and the sum of their squares is 29, find the numbers.



SECTION B:
Answer any four (4) questions

Qn11. Anna and Mary are tailors. They make x blouse and y skirts each week. Anna does all the cutting and Mary does all the sewing. To make a blouse it takes 5 hours of cutting and 4 hours of sewing. To make a skirt it takes 6 hours of cutting and 10 hours of sewing. Neither tailor works for more than 60 hours a week.
(a) For sewing, show that .
(b)Write down another inequality in x and y for the cutting.
(c) If they make at least 8 blouses each week, write down another inequality.
(d)Using 1 cm to represent 1 unit on each axis, show the information in parts (a), (b) and (c) graphically. Shade only the required region.
(e) If the profit on a blouse is shs. 3,000/= and on a skirt is shs. 10,000/=, calculate the maximum profit that Anna and Mary can make in a week.


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.
(a) Show this data in frequency distribution table
(b) Draw a histogram and a frequency polygon to represent this data
(c) Calculate the mean and mode number of children per house

Qn13.(a) An open rectangular box measures externally 32cm long, 27cm wide and 15cm deep. If the box is made of wood 1cm thick, find the volume of the wood used.


(b) Find the distance (in km) between towns      and  
  along a line of latitude, correctly to 4 decimal places.


Qn14. (a) the following balances were extracted from the ledger of Mr & Mrs
Mkomo business 31st January. Prepare a trial balance.
Capital 30,000/= Insurance 3,000/=
Furniture 25,000/= Cash 18,000/=
Motor Vehicle 45,000/= Discount received 7,000/=
Sales 68,000/= Discount allowed 4,000/=
Purchases 54,000/= Drawing 12,000/=
Creditors 76,000/= Electricity 5,000/=
Debtors 15,000/=




(b) Determine the gross profit and the net profit from the information given below.
Sales 38,000/=
Opening stock 8,000/=
Purchases 25,000/=
Electricity 4,000/=
Discount allowed 2,000/=
Closing stock 5,000/=

Qn 15. (a) Find the value of k such that the matrix is singular.

 
 
(b) The vertices of triangle ABC are A(1, 2), B(3, 1) and C(-2, 1). If triangle ABC is reflected on the x-axis, find the coordinates of the vertices of its image.
(c) Solve the following simultaneous equations by matrix method.



Qn16. A box contains 7 red balls and 14 black balls. Two balls are drawn at random without replacement.
(a) Draw a tree diagram to show the results of the drawing
(b) Find the probability that both are black
(c) Find the probability that they are of the same color
(d) Find the probability that the first is black and the second is red.
(e) Verify the probability rule by using the results in part (b).

Ijumaa, 12 Julai 2013

SOLUTION TO LAST WEEK'S FORM FOUR SERIES ONE QUESTIONS


SOLUTIONS TO FORM FOUR SERIES ONE WEEKLY QUESTIONS:
QN 1:;
solution
(a) Three significant figures 300.0
(b) Three decimal places 300.326

QN2:
solution
Rationalization of the denominator 
QN3:
(a) solution

(b) solution
QN4 (a) solution
Table of values for the function
 
(b) The domain and ranges for the relation are such that

QN5.
Solution:
Marks Class Marks(x) Frequency (f) f.x Cumulative Frequency
0-9 4.5 1 4.5 1
10-19 14.5 2 29 3
20-29 24.5 5 122.5 8
30-39 34.5 11 379.5 19
40-49 44.5 21 934.5 40
50-59 54.5 20 1090 60
60-69 64.5 17 1096.5 77
70-79 74.5 10 745 87
80-89 84.5 6 507 93
90-99 94.5 4 378 97
100-109 104.5 4 418 101
110-119 114.5 1 114.5 102
TOTAL

102 5819


(a)Histogram and Frequency Polygon see figure 1.
(b) The modal class refers to the class with the highest frequency which in this case is 40-49.
(c) Solution:
(d) Calculating the median
But before anything you should find the median class by calculating the middle term of the cumulative frequency which is usually the number which is equal to the half of the total of frequency or just above.
Which in this case 102/2 = 51
So we choose the class with a cumulative frequency of 60.
Hence the median class is 50-59
Histogram and Frequency Polygon

FREQUENCY POLYGON