FORM FOUR ASSIGNMENT MATHEMATICS

1. Evaluate without using Mathematical tables or a calculator. (3mks)

2. Solve for x given that the following is a singular matrix (2mks)

3. Make d the subject of the formula. (3mks)

4. Simplify leaving your answer in the form , where a, b and c are rational numbers.

(3mks)

5. Calculate the percentage error in the volume of a cone whose radius is 9.0cm and slant length 15.0cm.

(3mks)

6. A quantity A is partly constant and partly varies inversely as a quantity B. Given that A = -10 when B=

2.5 and A = 10 when B = 1.25, find the value of A when B = 1.5. (4mks)

7. The table below shows corresponding values of x and y for a certain curve.

y 1.0 1.2 1.4 1.6 1.8 2.0 2.2

x 6.5 6.2 5.2 4.3 4.0 2.6 2.4

Using 3 strips and mid-ordinate rule, estimate the area between the curve x axis, the line x = 1 and x =

2.2. (2mks)

8. 14 people can build 10 huts in 30 days. Find the number of people working at the same rate that will

build 18 similar huts in 27 days. (3mks)

1

9. The coordinates of two airports M and N are (600N, 350W) and (600N, 150E) respectively. Calculate;

(i) The longitude difference. (1mk)

(ii) the shortest time an aeroplane whose speed is 250 knots will take to fly from M to N along a

circle of latitude. (2mks)

10. (a) Expand in ascending powers of x. (2mks)

(b) Use your expansion up to the fourth term to evaluate 9.85. (2mks)

11. The figure below is a cuboid ABCDEFGH. AB = 12cm, BC = 5cm and CF = 6.5cm.

(a) State the projection of AF on the plane ABCD. (1mk)

(b) Calculate the angle between AF and the plane ABCD correct to 2 decimal planes. (3mks)

12. Show that (3mks)

13. The mid-point of AB is (1,-1.5, 2) and the position vector of a point A is . Find the magnitude of

where O is the origin. (3mks)

14. Draw a line of best fit for the graph of y against x using the values in the table below. Hence determine the

equation connecting y and x.

x 0.4 1.0 1.4 2.0 2.5

y 0.5 1.0 1.2 1.5 2.0

2

15. A coffee dealer mixes two brands of coffee, x and y to obtain 40kg of the mixture worth Ksh. 2,600. If

brand x is valued at Ksh. 70 per kg and brand y is valued at Ksh. 55 per kg. Calculate the ratio in its

simplest form in which brands x and y are mixed. (4mks)

3

16. The figure below shows a circle centre O. AB and PQ are chords intersecting externally at a point C. AB

= 9cm, PQ= 5cm and QC = 4cm. Find the length of BC. (3mks)

17. (a) Salome invested Ksh. 250,000 for 2 ½ years in an account which paid 16% compound

interest p.a. The interest is compounded quarterly. At the end of 2 ½ years she withdrew all the

amount and spent it to the nearest thousands to buy four similar motor cycles. She earned an

average of Ksh. 10,000 from each motorcycle per month.

(i) the amount she withdrew at the end of 2 ½ years. (2mks)

(ii) the cost of each motorcycle. (2mks)

(iii) the total earnings from the motorcycles for 3 years. (2mks)

(b) She decided to sell the motorcycles after depreciating at an average rate of 20% p.a for the 3

years.

Find:-

(i) the new value of each motorcycle after depreciation. (2mks)

(ii) the profit earned from her initial investment to the nearest shilling. (2mks)

18. The table below shows the distribution of ages in years of 50 adults who attended a clinic:-

Age 21-30 31-40 41-50 51-60 61-70 71-80

Frequency 15 11 17 4 2 1

(a) State the medium class (1mk)

(b) Using a working mean of 45.5, calculate:-

(i) the mean age (3mks)

(ii) the standard deviation (3mks)

(iii) Calculate the 6th docile. (3mks)

19. An arithmetic progression (AP) has the first term a and the common difference d.

(a) Write down the third, ninth and twenty fifth terms of the AP in terms of a and d. (1mk)

(b) The AP above is increasing and the third, ninth and twenty fifth terms form the first three

consecutive terms of a Geometric Progression (G.P) The sum of the seventh and twice the sixth

terms of the AP is 78. Calculate:-

(i) the first term and common difference of the AP. (5mks)4

(ii) the sum of the first nine terms of the AP. (2mks)

(iii) The difference between the fourth and the seventh terms of an increasing AP.

(2mks)

20. The probability that three candidates; Anthony, Beatrice and Caleb will pass an examination are

and respectfully. Find the probability that:-

(a) all the three candidates will pass (2mks)

(b) all the three candidates will not pass. (2mks)

(c) only one of them will pass (2mks)

(d) only two of them will pass. (2mks)

(e) at most two of them will pass. (2mks)

21. (a) Complete the table below for the function x -3 -2 -1 0 1 2 3 4x+1 -2 -1 1 3 43-x 6 5 4 2 1 -1y -12 -5 3 4 0 -5

(2mks)(b) Use the values in the table to draw the graph of . Use the following scale.

Horizontal axis 2cm for 1 unitVertical axis 1cm for 1 unit. (3mks)

5

(c) Use your graph in part (b) above to solve the following quadratic equations(i) (2mks)

(ii) (3mks)

22. Use a ruler and a pair of compasses only all constructions in this question.

(a) Construct the rectangle ABCD such that AB = 7.2cm and BC = 5.6cm. (3mks)

(b) Constructs on the same diagram the locus L1 of points equidistant from A and B to meet

with another locus L2 of points equidistant from AB and BC at M. measure the acute angle

formed at M by L1 and L2. (3mks)

(c) Construct on the same diagram the locus of point K inside the rectangle such that K is less than

3.5cm from point M. Given that point K is nearer to B than A and also nearer to BA than BC,

shade the possible region where K lies. Hence calculate the area of this region.

Correct to one decimal place. (4mks)

6

23. The diagram below, not drawn to scale shows part of the curve and the line y = 8-2x. The line

intersects the curve at points C and D. Lines AC and BD are parallel to the y-axis.

(a) Determine the coordinates of C and D. (4mks)

(b) Use integration to calculate the area bounded by the curve and the x-axis between the

points C and D. (3mks)

(c) Calculate the area enclosed by the lines CD, CA, BD and the x-axis. (3mks)

(d) Hence determine the area of the shaded region. (1mk)

24. A tailoring business makes two types of garments A and B. Garment A requires 3 metres of material

while garment B requires 2 ½ metres of material. The business uses not more than 600 metres of

material daily in making both garments. It must make not more than 100 garments of type A and nor less

than 80 of type B each day.

(a) Write down three inequalities from this information other than and , where x is the

number of garments of type A and y the number of garments of type B. (3mks)

(b) Graph these inequalities. (3mks)

7

(c) If the business makes a profit of sh 80 on garment A and a profit of sh. 60 on garment B, how

many garments of each type must it make in order to maximize the profit and what is the total

profit? (4mks)

8

NYERI HIGH SCHOOL

FORM 4 –BIOLOGY AUGUST 2017 HOLIDAY ASSIGNMENT

Study the diagram below and answer the questions that follow.

a) Name the parts labeled A,B,C, and D. (2mks)

b) State the function of the fluid found between the parts marked C. (1mk)

c) How is the part labeled E adapted to its function. (4mks)

d) State the significance of rings of cartilage found around the part marked A and B. (1mk)

2. a) State three functions of cerebrum. (3mks)

b) (i) Name the fluid found in the cavities of the brain: (1mk)

(ii) State the function of the fluid named in b(i) above; (1mk)

(iii) In which layer of the meninges do we, find the fluid named in b(i) above.(1mk)

iv) State two other components of the meninges and describe their location. (2mks)

3. a) In a certain family with two children, one child was of blood group A while the other is blood group O. Work

out the genotype of the two children, if the mother is blood group B and the father is blood group A.

(3mks)

9

A

B

C

D

E

b) Below is a drawing of chromosomes of human and the genes located on it. Use the drawing to

answer the questions that follow.

i) Identify chromosome A. 1mk*BND*

ii) Suggest an advantage of the smaller chromosome B and the lack of sharing the allelic genes with A.

(2mks)

c) State two application of genetics in agriculture. (2mks)

4. a) Define the term Denature. (1mk)

b) In an experiment to investigate the action of pepsin on egg albumen, equal amount of pepsin were added to equal amounts of egg albumen in different test-tubes. The test tubes were placed in water baths at different temperatures. The graph below shows time taken for the enzyme to digest protein in each .

i)

10

A B

dry skin

night blindness

cleft palate

Cells do not respond to testosterone

Haemophilia

colour blindness

height promoting gene

skeletal abnormalities

Promote spermatogenesis

Tim

e (m

in)

ii) What is the optimum temperature for the enzyme? (1mk)

ii) Account for the time taken to digest egg albumen at 450C. (1mk)

c) (i) In which form is the enzyme pepsin secreted. (1mk)

(ii) Give a reason for your answer in c (i) above. (1mk)

d) Name four plant tissues which lack chloroplast. (2mks)

e) State the function of the pad of gum in herbivorous feeding. (1mk)

5. The diagram below represents the pathway of water from the soil into the plant.

a) Name the structures labeled K and L. (2mks)

b) Explain how water from the soil reaches the structure labeled L. (5mks)

c) Name the process by which mineral salts enter into the plant. (1mk)

6. The glucose level in mg per 100ml of blood of two people A and B; who had been fasting for 12 hours was determined. The people were then fed on equal amounts of glucose and the levels of glucose

determined at 30 minutes intervals for two hours. The results were as shown in the table below.Time in Minutes - 0 30 60 90 120

Blood Glucose (mg/100ml of blood) A 157 184 194 187 180

B 90 118 125 108 84

a) Using a suitable scale, draw a graph of blood glucose (mg/100ml) ) of blood against time .

(8mks)

b) Account for the level of glucose in person B.

(i) during the first 30 minutes. (2mks)

(ii) between 60 and 120 minutes. (4mks)

11

L

K

Soil

film of water around soil particle

(c ) Account for the glucose level in person A at the end of the two hours. (4mks)

d) If the normal glucose level in a healthy person is between 80 and 100mg per 100ml of blood, which one of

the graphs represents the data for a person who is

(i) Healthy (1mk)

(ii) Severely diabetic (1mk)

7. Explain how the following types of plants are adapted to their habitats

(i) Xerophytes (13mks)

(ii) Hydrophytes (7mks)

8. Describe how a male reproductive system is adapted to its functions. ( 20mks)

12

HOLIDAY ASSIGNMENTFORM 4: ENGLISH

1. FUNCTIONAL WRITING

Write notes and samples of the following:

a) Public notices

Posters note the differences

Advertisements

Auctions

b) Diaries

- Personal journals

- Reminders note the differences

- Internal memo

c) Inventories

Synopsis

Book review

Questionnaires

2. ESSAY WRITING

Revisit notes on essay writing and write 3 different essays from The River And The Source and 3

others from Betrayal In The City. (Sample from past papers)

3. PAPER BASED REVISION

Attempt at least one: paper I

paper II

paper III

13

HOLIDAY ASSIGNMENTFORM 4: AGRICULTURE

1. Describe the field production of paddy rice under the following sub-headings. (2mks)- Land preparation- Water control- Use of flooding- Fertilizer application- Weed control

2. Explain the classes of herbicides and methods of application to eradicate weeds in the farm. (10mks)

3. (a) State the law of demand and explain the factors that influence market. (7mks)

(b) State the law of supply and explain the factors that influence supply, other than price. (7mks)

4. (a) State the reasons for pruning in coffee. (5mks)

(b) Discuss the pruning system in coffee. (15mks)

5. (a) Describe the establishment of grass pasture from the time the land is ploughed to the time the pasture is ready for grazing. (10mks)

(b) Describe the establishment of Lucern as a fodder crop from land preparation to utilization. (10mks)

6. (a) Describe the preparation of the following farm material.

(i) Hay

(ii) Farm yard manure. (2mks)

(b) Explain the factors considered in timely planting of annual crops. (8mks)

7. Explain the plant storage organs used for vegetative propagation, giving examples of each case. (20mks)

8. Discuss the following land reforms.

(a) Land consolidation

(b) Land adjudication and registration.

(c) Land sub-division (20mks)

14

9. Describe the different types of erosion stating how each is controlled. (20mks)

10. Describe the weed control measures in Kenya. (20mks)

11. (a) Describe pure stand pastures. (7mks)

(b) Discuss mixed stand pastures. (9mks)

(c) Explain four ways of improving natural pastures. (4mks)

12. (a) Outline the importance of agro forestry. (10mks)

(b) List the characteristics of ideal agro forestry trees. (10mks)

13, Describe how the late weaning programme is conducted in a diary calf. (12mks)

14. Describe the management of one day old chicks in a brooder until they are eight weeks.(12mks)

15. Describe the advantages of the battery system of rearing layers. (10mks)

16. Explain the importance of each of the functional differences between a disc plough and a mould board plough in land preparation. (10mks)

17. Describe up grading as a method of improving indigenous cattle for milk production. (8mks)

15

451/1

COMPUTER STUDIES HOLIDAY ASSIGNMENT

PAPER 1

(THEORY)

JULY/AUGUST 2017

TIME: 2½ HOURS

SECTION A: (40 MARKS)

Answer ALL the questions in this section in the space provided.

1.(a)Distinguish between Optical scanners and Magnetic ink scanners. (2mks)

(b)Differentiate between hardware and software portability. (2mks)

2.(a)Explain the difference between digital signal and analog signal in data communication. (2mks)

(b) Give two ways in which computers are used in communication industry. (2mks)

3.(a)Name two special purpose memories found either inside or outside the microprocessor. (2mks)

(b) Distinguish between an accumulator and an address register. (2mks)

4. Differentiate between formatting and editing as used in word processing. (2mks)

5.(a)Distinguish between a paste board and a printable page. (2mks)

(b)Differentiate between a margin guide and a column guide as used in D.T.P. (2mks)

6.(a)Define the term normalization as used in a database design. (1mk)

(b)Explain two objective of normalization. (2mks)16

7.Describe two methods used to secure data in a database. (2mks)

8.Explain the meaning of the following terms as used with DTP. (4mks)

(i) Crop

ii) Embedded object

(iii)Master page

(iv)Tool box

9.Make a clear difference between a Website and Web portals. (2mks)

10.State two advantages of using wireless transmission media to connect to the internet. (2mks)

11.(a)What is a protocol? (1mk)

b) Write the following in full: TCP/IP, HTML, HTTP and FTP. (2mks)

12.Make a clear difference between Log file and Firewall. (2mks)

13.Explain the meaning of the terms below as used in data security and controls. (3mks)

(i) Information security

ii) Fraud

iii) Eavesdropping

14. Make a clear difference between the following information gathering methods. (2mks)

(a) Observation

(b) Questionnaire15. Explain the importance of control structure in program development. (1mk)

SECTION B (60 MARKS)

17

Answer question 16(compulsory) and any other THREE questions from this section.

16.Mwangi deposits 8500 shillings in a microfinance company at an interest rate of 15% per annum. At the end of each year, the interest earned is added to the deposit and the new amount becomes the deposit of that year.

(a) Write an algorithm for a program that would track the growth of the deposits over a period

of five years. (6mks)

(b) Draw a flowchart for above algorithms. (7mks)

(c) List four Selection Controls used in writing a program. (2mks)

17.(a) Define the term network topology and explain the two types of topology. (5mks)

(b) Define the following terms as used with network. (4mks)

(i) Routers (ii) Repeaters

(c)Name the parts labeled A, B, C and D in the diagram below. (2mks)

18

A __________________________________________________________________________

B __________________________________________________________________________

C___________________________________________________________________________

D __________________________________________________________________________

(d)Explain the meaning of the following terms as used in signal transmission. (2mks)

(i) Attenuation (ii) Noise (e) State two advantages of using fiber optic cables. (2mks)

18.(a)(i) Define the term spreadsheet. (1mk)

(ii)Give two examples of spreadsheet packages available in the market today (2mks)

iii) Explain the following terms as used in spreadsheet.

What IF analysis. (2mks)

Cell. (1mk)

19

Formula. (1mk)

Pie-chart. (1mk)

(b) Distinguish between the following sets of terms used in spreadsheet.i) Worksheet and workbook. (2mks)

ii) Filtering and sorting. (2mks)

c) State one way in which a user may reverse the last action taken in a spreadsheet package.

(1mk)

d) Distinguish between a Formula and a function as used in spreadsheet. (2mks)

19.(a) Describe each of the following data processing methods and give an example of where used.

(6mks)

(i) Online processing ii) Batch processing

(ii) Real-time

(b)Make a clear difference between: (6mks)

(i) Logical file and physical file

(ii) Master file and back-up file

(iii) Random and indexed sequential file organization methods

(c) An organization is facing threats to data integrity. Explain three of how the threats can be minimized.(3mks)

20

20.(a) Give two reasons why data and information in a computer system needs to be converted to

other number systems other than binary. (2mks)

(b) Explain two reasons for use of binary in digital technology. (2mks)

c) Using ones complement, subtract 17 from 28. (5mks)

(d) Using BCD coding system convert 796 to binary. (5mks)

(e) Differentiate Database administrator and web administrator. (2mks)

(f)(i) Define the term accreditation as used in education. (2mks)

(ii) Explain two factors you would consider before enrolling for an ICT course in a college (2mks)

21

NYERI HIGH SCHOOLAUGUST HOLIDAY ASSIGNMENT 2017FORM 4 BUSINESS STUDIES

1. (a) Explain five ways in which filing of documents facilitates smooth running of an

Office. (10mks)

(b) Highlight five disadvantages of cartels to consumers. (10mks)

2. (a) Explain five circumstances under which oligopoly market structure may arise.

(10mks)

(b) Explain five disadvantages of using SMS (Short Text Messages) in mobile telephones.

(10mks)

3. (a) Explain five ways through which the central bank control inflation. (10mks)

(b) On 1st June 2010, Ngamire Traders had cash in hand shs. 87,000 and cash at Bank sh.

250,000.

During the month, the following took place:

June 2: Cash sales sh. 50,000 issued a receipt No. 063

“ 3: Paid salaries and wages shs. 101,500 by cheque, cheque No. 083

“ 6: Received a cheque for shs. 76,800 from Kemunto, after allowing her a cash discount of

4%. Receipt No. 064

“12: Settled Omwambi’s account of shs. 40,000 in cash having deducted sh.

800 cash discount. Receipt No. 0656.

“18: Withdrew shs. 30,000 from bank for office use.

“21: Received shs. 16,500 cash from Mwikali in settlement of his account less

sh. 600 cash discount. Receipt No. 065.

“22: Bought office furniture by cheque shs. 85,000. Receipt No. 734

“23: Withdrew sh. 5000 cash for private use.

“28: Paid wages sh. 24,000 in cash receipt No. 801

“30: Received a cheque for shs. 150,000 in respect to cash sales. Receipt No.

066.

Required:(i) A cash receipt journal (5mks)

(ii) A cash payment journal. (5mks)

22

23