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Question Paper

This document is an examination paper for Form One students in History and Government, covering various topics related to early human history, agriculture, and political organization. It consists of three sections with multiple questions that require students to provide definitions, explanations, and comparisons. The exam is structured to assess students' understanding of historical concepts and their ability to apply knowledge in different contexts.

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pnjeri2009
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0% found this document useful (0 votes)
13 views42 pages

Question Paper

This document is an examination paper for Form One students in History and Government, covering various topics related to early human history, agriculture, and political organization. It consists of three sections with multiple questions that require students to provide definitions, explanations, and comparisons. The exam is structured to assess students' understanding of historical concepts and their ability to apply knowledge in different contexts.

Uploaded by

pnjeri2009
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 42

ZERAKI ACHIEVERS’ EXAMINATIONS 13.

0
Term 2 - 2024
HISTORY AND GOVERNMENT (311)
FORM ONE (1)
Time: 2½ Hours
END OF TERM 2 2024 EXAM
Name: …………………………………………………………. Adm No: ……………….
School: ……………………………………………………….. Class: …………………..
Signature: …………………………………………………….. Date: …………………...

INSTRUCTIONS TO THE CANDIDATES:

This paper consists of three sections A, B and C.


Answer ALL questions in section A, section B , and section C
FOR EXAMINERS USE ONLY

SECTION QUESTIONS MARKS


A 1-17
B 18
19
20
C 21
22
TOTAL

This paper consists of 9 printed page

1
SECTION A (25 MARKS)
ANSWER ALL THE QUESTIONS IN THIS SECTION
1. Give two areas of study in the Social branch of History ( 2 marks)
............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

2. Identify the Law-making organ of Government of Kenya (1 mark)


............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

3. What is the relationship between History and Government (1 mark)


............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

4. Give two religious books that supports Creation theory of the early man (2 marks)
............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

5. Give two changes of the early man that marked the breaking off point between man
and apes (2 marks)
............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

2
6. Name the area where remains of Aegyptopithecus were discovered. (1 mark)
......................................................................................................................................................

......................................................................................................................................................

7. Identify one of the hominid species that manufactured Acheulian tools (1 mark)
............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

8. Name two types of Oldowan tools (2 marks)


............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

9. Identify two archaeologists mostly associated with the studies of early man in East
Africa (2 marks)
............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

10. Give two other names of Australopithecus (2 marks)


............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

3
11. Identify the technology that was used in improving Sangoan tools / Lupemban tools
(1 mark)
............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

12. State two disadvantages of hunting in groups by the early man. (2 marks)
............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

13. Name the two rivers that were associated with early agriculture in Mesopotamia
(2 marks)
............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

14. State one way in which man would use the first animal he domesticated (1 mark)
............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

15. Give one irrigation method that was used in Mesopotamia (1 mark)
............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

4
16. State one negative effect of Land enclosure system in Britain (1 mark)
............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

17. Identify the invention that was associated with Andrew Meikle during the Agrarian
Revolution in Britain (1 mark)
............................................................................................................................................................

............................................................................................................................................................

SECTION B (45 MARKS)


ANSWER ALL THE QUESTIONS IN THIS SECTION
18. a)Give five forms of Oral traditions (5 marks)
............................................................................................................................................................

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............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

b)Explain five challenges that Archaeologists face in their work of re-Writing of History
(10 marks)
............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

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5
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19. a)Give five aspects of life that had their origin in the Late/New Stone Age (5 marks)
............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

b)Explain five hunting methods that were used by early man during the stone age period
(10 marks)
............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

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............................................................................................................................................................

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............................................................................................................................................................

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6
20. a) State five similarities between early agriculture in Egypt and Mesopotamia.
(5 Marks)
............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

b)Explain five effects of Agrarian Revolution in Britain (10 marks)


............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

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............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

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............................................................................................................................................................

7
SECTION C (30 MARKS)
ANSWER ALL THE QUESTIONS IN THIS SECTION
21. a)Identify five communities that make up Eastern Cushites (5 marks)
............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

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............................................................................................................................................................

............................................................................................................................................................

b)Explain five results of the migration of the Bantus to their present homelands (10 marks)
............................................................................................................................................................

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8
22. a)State five economic activities of the Akamba during the Pre -colonial period
(5 Marks)
............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

b)Describe the political organization of the Akamba during the pre -colonial period (10
marks)
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End

9
Name: …………………………………………………………………………………………….

Adm. No.: ……………………………………………………… Class ……………………………

CHEMISTRY
2024
TIME: 2 HOURS
JULY 2024

Kenya Certificate of Secondary Education (K.C.S.E.)


FORM 1- TERM 2
INSTRUCTIONS:
 Write your name and other details on the space provided above
 Answer all the questions in the spaces provided for each question.
 All working must be clearly shown where necessary.
 Mathematical tables and silent non-programmable electronic calculators may be used.
For Examiners Use Only

Questions Total marks Student’s score

1 - 18 80

This paper consists of 10 printed pages. Students should check to ascertain that all pages are printed as
indicated and that no questions are missing.

Page 1 of 10
1. Define the following terms.
a) Drug (1mrk)

………………………………………………………………………………………………………
………………………………………………………………………………………………………

b) Prescription (1mrk)

………………………………………………………………………………………………………
………………………………………………………………………………………………………

c) Drug abuse (1mk)


………………………………………………………………………………………………………
………………………………………………………………………………………………………

2. John visited a hospital and was given syrup whose prescription was 2×3. How should she take the
syrup? (2mrks)
…………………………………………………………………………………………………
…………………………………………………………………………………………………

3. (a) Why are most of the apparatus in chemistry laboratories made of glass? (2mrks)

…………………………………………………………………………………………………
…………………………………………………………………………………………………
…………………………………………………………………………………………………
(b) Name two apparatus used for accurate measurement of volume. (2mrks)

…………………………………………………………………………………………………
…………………………………………………………………………………………………
4. Define the following terms (4mrks)
a) An atom

…………………………………………………………………………………………………
…………………………………………………………………………………………………

b) A molecule

…………………………………………………………………………………………………
…………………………………………………………………………………………………

Page 2 of 10
c) A compound

…………………………………………………………………………………………………
…………………………………………………………………………………………………

d) Element

…………………………………………………………………………………………………
…………………………………………………………………………………………………

5. Complete the following table (4mrks)


Element Symbol

Silver

Au

Iron

Pb

6. Name the elements present in magnesium carbonate (3mrks)


………………………………………………………………………………………………………
…..………………………………………………………………………………………………….

7. Write a word equation for the reaction between:


a) Carbon and oxygen (1mrk)

………………………………………………………………………………………………….

b) Iron and Sulphur (1mrk)

………………………………………………………………………………………………….

(c) Zinc and bromine (1mrk)

…………………………………………………………………………………………………

Page 3 of 10
8. The diagram below shows part of non - luminous flame of the Bunsen burner. Study it to answer
questions that follow.

a) Name the parts of the flame labeled as; (3mks)

X………………………………………………
Y……………………………………………….
Z……………………………………………….
b) Which part of the flame above is the hottest? Explain. (2mks)

………………………………………………………………………………………………………
………………………………………………………………………………………………………

c) A non–luminous flame is preferred for heating. Explain. (1mk)

………………………………………………………………………………………………………
………………………………………………………………………………………………………
d) Name the other type of flame and the condition under which that flame is produced. (1mk)
………………………………………………………………………………………………………

Page 4 of 10
9. The diagram below shows a set up that was used by a student to separate a mixture of water
and ethanoic acid. Study it and answer the questions that follow. (Boiling point of water = 100OC,
ethanoic acid = 118OC)

a. State one mistake in the set up. (1mk)


………………………………………………………………………………………….
b. Which component of the mixture will be collected first and why? (2mks)
………………………………………………………………………………………………
………………………………………………………………………………………………
………………………………………………………………………………………………
c. What are the roles of the following; (4mks)
i. Thermometer
…………………………………………………………………………………
…………………………………………………………………………………
ii. Liebig condenser
…………………………………………………………………………………
…………………………………………………………………………………
iii. Fractionating column
…………………………………………………………………………………
…………………………………………………………………………………
iv. Glass beads

…………………………………………………………………………………
………………………………………………………………………………....

Page 5 of 10
d. Why is it preferable for the distillation flask to be round- bottomed rather than flat
bottomed rather than flat bottomed? (1mk)
…………………………………………………………………………………………
…………………………………………………………………………………………
e. Name the method of separation of the mixture.
(1mark)
………………………………………………………………………………………….
f. Name two mixtures that can be separated using the above method of separation
(1mark)
…………………………………………………………………………………………
…………………………………………………………………………………………
g. At what point does one know that the entire first fraction has been removed from the
distillation flask. Explain. (2marks)
…………………………………………………………………………………………
…………………………………………………………………………………………
…………………………………………………………………………………………
10. State two laboratory rules to observe when preparing a poisonous gas. (2mks)
………………………………………………………………………………………………………
………………………………………………………………………………………………………
………………………………………………………………………………………………………
11. The spots in the diagram below represent results for three brands of soda that contains unwanted
food additives.

● ● ●



● ●

● ● ● ●
A B C D

A
The results showed presence of unwanted food additives in B and C only. On the diagram:

Page 6 of 10
i) Label the baseline or origin and the solvent front. (2mks)

ii) Circle the spots which showed unwanted food additives. (2mks)

iii) Which food additive was pure? Explain. (2mks)

……………………………………………………………………………………………
…………………………………………………………………………………………….

iv) Name the method of separation above (1mark)

………………………………………………………………………………………………

12. The graph below shows the heating curves obtained when solid X and solid Y were heated to
boiling point.

i) Which of the two liquids was pure? Explain. (2mks)


………………………………………………………………………………………………
………………………………………………………………………………………………

ii) What would be the effect of adding an impurity to the boiling point of a substance?
(1mk)
………………………………………………………………………………………………

Page 7 of 10
13. Complete the table below. (3mrks)

Colour in

Indicator name Acid Base Neutral

Litmus Red

Phenolphthalein colourless

Methyl orange Pink

14. a) Five solutions were tested with universal indicator and their PH values recorded.
Solution pH value

A 11

B 2

C 6

D 7

E 9

i) Which solution is a strong acid? (1mrk)


………………………………………………………………………………………………………
ii) Which solution is a weak acid? (1mrk)
………………………………………………………………………………………………………
iii) Which solution is neutral? (1mrk)
………………………………………………………………………………………………………
iv) Which solution is a strong base? (1mrk)
………………………………………………………………………………………………………
v) Which solution is a weak base? (1mrk)

………………………………………………………………………………………………………

Page 8 of 10
b) Name the acids found in each of the following substances (5marks)

i) Lemon juice ……………………………………………………………………………………

ii) Sour milk ……………………………………………………………………………………..

iii) Oxalis ………………………………………………………………………………………..

iv) Bee sting ……………………………………………………………………………………

v) Vinegar ………………………………………………………………………………………

15. When a student was stung by a stinging nettle plant, a teacher applied an aqueous solution of
ammonia to the affected area of the skin and the student was relieved of pain. Explain why the
student was relieved off the pain and state the importance of the aqueous solution of Ammonia in
the affected area of the skin. (2 mks)
………………………………………………………………………………………………………
………………………………………………………………………………………………………
………………………………………………………………………………………………………
16. Classify the following as either physical or chemical changes. (4mks)

a) Freezing of water. ………………………………………………………………………….


(b)Rusting of iron ……………………………………………………………………………..

(c) Burning a candle. ………………………………………………………………………….

(d)Heating copper (II) nitrate …………………………………………………………………

Page 9 of 10
17. The apparatus below were used to determine the volume of oxygen in air. About 200cm 3 of air
was passed repeatedly from syringe A to syringe B over heated copper turnings as shown in the
diagram. After sometime, the volume of air in the syringe A was 168cm3 and syringe B 0cm3.

a. Write a chemical equation for the reaction that took place in the combustion tube. (1mk)
…………………………………………………………………………………………………..

b. Calculate the percentage of oxygen in the initial sample of air. (2mks)

c. State two possible sources of errors in the experiment. (2mks)


…………………………………………………………………………………………………
…………………………………………………………………………………………………
18. State the best method to separate the following mixtures (3mks)

(a) Components of crude oil ……………………………………………………………………..

(b) benzoic acid and sodium chloride ……………………………………………………………

(c) Iron filings and Sulphur ……………………………………………………………………..

……………………….THIS IS THE LAST PRINTED PAGE ………………………

Page 10 of 10
Name: ………………………………………………………… Class: ………… Adm.No. ……………
School: ……………………………………………………………… Date: ……………………………
Sign: ………………………………………..

121
MATHEMATICS
JULY 2024
Time: 2½ Hours

ZERAKI ACHIEVERS EXAMINATION 13.0


FORM 1 - TERM 2
Mathematics
TIME: 2½ HOURS

Instructions

 Write your name, class and admission number in spaces provided above.
 The paper contains two sections A and B.
 Answer ALL questions in section A and ALL questions from section B in the spaces provided below each
question.
 Marks may be given for correct working even if the answer is wrong.
 Non-programmable silent electronic calculator and KNEC mathematical tables may be used, except where
stated or otherwise.

For Examiner’s Use Only


SECTION A

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 TOTAL

SECTION B
17 18 19 20 21 TOTAL
GRAND
TOTAL
SECTION A (50 MARKS)
Answer all questions in this section in the spaces provided
1. State the place values of the following digits in the number 201.70089.

a) 1 (1 mark)

b) 8 (1 mark)

c) 7 (1 mark)

2. Use factor-tree to decompose 12544 into prime factors. (3 marks)

3. Evaluate (3 marks)
4. Four men can dig 2 acres of land in 3 days working 4 hour a day. How many men are
required to dig 5 acres of land in 4 days working 3 hours a day at the same rate.
(3 marks)

5. A fruit dealer blends the fruit juice in a common container to the brim before choosing the
quantities in which to distribute them. She can pack them in either 20 litres, 24 litres or 36
litres can before selling them. If she chooses 20 litres cans she remains with 13
liters while when she uses 24 litres 17 litres remain in a container and 29 litres remain
when distributed in 36 litres cans. Determine the least capacity of her container in litres.
(4 marks)

6. In 2023, the cost of processing a bag of wheat was Ksh 250, and this was divided
between electricity costs and labour in the ratio 2:3. In the year 2024, the cost of
electricity doubled, while the cost of labour increased by x%. Calculate the value of x
given that the cost of processing a bag of wheat in 2024 is 425. (3 marks)
2 1
7. A family spent of their income on food, of the remainder on water bill and saved the
5 3
rest. If sh. 1200 more is spent on food than water bill. Find how much they
saved? (3 marks)

8. During a certain month, the exchange rates in a bank were as follows;


Buying (Ksh.) Selling (Ksh.)

1 US $ 91.65 91.80

1 Euro 103.75 103.93

A tourist left Kenya to the United States with Ksh. 1,000,000. On the airport he exchanged all the
money to dollars and spent 190 dollars on air ticket. While in US he spent 4500 dollars for upkeep
and proceeded to Europe. While in Europe he spent a total of 2000 Euros. How many
Euros did he remain with? (3 marks)

9. The sum of three consecutive even numbers is 102, find the numbers. (4 marks)
10. Three bells ring at intervals of 60 minutes,50 minutes and 40 minutes. If they rang first at
9.15 a.m, find when they will ring for the second time. (3 marks)

11. Use a number line to perform the following operations.

a) (-10) - (-3) (1 mark)

b) (-3) - (-4) (1 mark)

c) (+1) - (-8) (1 mark)

12. Without using mathematical tables or calculator evaluate. (3 marks)


3.45+0.195
45𝑥0.0002
13. Find the ratio a:c given that a:b=1:2, b:d=4:5, d:c=3:1 (3 marks)

14. Given that 𝑎 = 2, 𝑏 = −1 𝑎𝑛𝑑 𝑐 = 3, find the value of (3 marks)

3a2−2b2c+4𝑏
2𝑎𝑐 +2b3−3𝑐

15. Use tables of squares and square root tables to evaluate (4 marks)

0.60786  3.4792

16. A two digit number is such that its value equals four times the sum of its digits. If 27 is
added to the number the result is equal to the value of the number obtained when the
digits are interchanged. What is the number? (3 marks)
SECTION II (50MKS)
Answer ALL Questions in this section
17. A salesman received a basic salary of sh. 50,000 a year together with a commission of 6
% on the value of goods sold and a car allowance of sh. 2.50 per km.
a) Find the total amount he received in a year in which he sells goods worth sh. 625,000 and
travels 10,000km. (4 marks)

b) The next year he travels 12,000km and receives a total of shs. 134,000
i) Calculate the value of goods sold. (4 marks)

ii) Calculate the percentage increase in the value of the goods sold. (2 marks)
18. A metal R is an alloy of two metals X and Y. Metal X has a mass of 70g and a
density of 16g/cm3. Metal Y has a mass of 19g and a density of 4g/cm3.
(a) Calculate the density of the metal R. (4 marks)

(b) If metal R is divided into two equal parts and each half reinforced by adding metal X
to get to initial volume. Find the density of the new alloy. (4 marks)

(c)The two metals are mixed in a ratio of 4:1 respectively. What is the density of the
alloy? (2 marks)
19. Odete and Akala entered into a business partnership in which they contributed ksh.
120,000 and ksh. 150,000 every year respectively. After one year Chelang’a joined the
business and contributed ksh. 90,000.

(a) Calculate the ratio of their investment after 3 years of business. (3 marks)

(b) It was agreed that 30% of the profits after 3 years be used to cater for the
cost of running the business, while the remaining would be shared
proportionally. Calculate each person’s share, if the profit made after three
years has ksh. 187,000. (4 marks)

(c) If each of them invested their shares back in the business, find their new
individual investments at the beginning of the fourth year. (3 marks)
20. a) Plot the graphs of the equations y=2x + 3 and y=- x +3. (4 marks)

Use your graph to find the coordinates of the point of intersection of the two lines. (2 marks)

Hence, state the solutions to the equations y = 2x + 3 and y = - x +3. (2 marks)

Find the angle made by the line y = 2x+3 and the x-axis. (2 marks)
21. A rectangular plot has a length of 15m more than the width. A lady walks around the entire
perimeter making a total of 3000 strides of equal lengths of 6 cm. Determine

a) The length and width of the plot in meters. (4 marks)

b) The perimeter of the plot in meters. (2 marks)

c) The area of the plot in hectares. (2 marks)

d) The diagonal length (2 marks)


ZERAKI ACHIEVERS’ EXAMINATIONS (2021)
Term 2 - 2021
MATHEMATICS (Alternative A)
FORM ONE (1)
Time: 2½ Hours

Name: …………………………………………………………. Adm No: ……………….


School: ……………………………………………………….. Class: …………………..
Signature: …………………………………………………….. Date: …………………...

Instructions
(a) Write your name, admission number, school and class in the spaces provided above.
(b) Sign and write the date of examination in the spaces provided above.
(c) This paper consists of two sections; Section I and Section II.
(d) Answer all the questions in Section I and all the questions from Section II
(e) Show all the steps in your calculations, giving your answers at each stage in the spaces provided
below each question
(f) Marks may be given for correct working even if the answer is wrong.
(g) Mathematical tables may be used, except where stated otherwise.
(h) This paper consists of 10 printed pages.
(i) Candidates should check the question paper to ascertain that all the pages are printed as indicated
and that no questions are missing

For Official Use Only


Section I
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Total

Section II Grand Total


17 18 19 20 21 Total
SECTION I (50 Marks)
Answer ALL the questions in this section
1. Evaluate: (3 marks)
1 1 1 1
14 ÷ (3 𝑜𝑓 5 4) − (3 4 × 1 3)
3 1 1
( × 6 4) + 1 2
5

2. (a) Express 900 and 3136 as products of their prime factors (1 mark)

𝑝
(b) Hence evaluate leaving your answer in the form 𝑞 where 𝑝 and 𝑞 are natural numbers. (2 marks)

900

3136

3. The GCD and LCM of three numbers are 24 and 5040 respectively. Given that the numbers are 48, 72
and 𝑷, use factorization to find the least possible value of 𝑷. (3 marks)

2
4. The sum of 3 133 792, 5 293 476, 7 672 598 and 4 257 348 is rounded off to the nearest 10,000.
Calculate the difference between the actual sum and the rounded figure. (3 marks)

5. Without using a mathematical table or a calculator, evaluate: (3 marks)


(−8) × 4 + 156 ÷ 2 of (−43 + 30)
(−3 − (−8) × 2 + 6

6. Fifteen tractors, each working eight hours a day, take eight days to plough a piece of land. How many
days will it take 24 tractors, each working 10 hours a day, to plough the same piece of land?
(2 marks)

3
7. Using the number line work out (+2) – (+7). (2 marks)

8. An 887.04 kg culvert is made of a hollow cylindrical material with outer radius of 77 cm and an inner
radius of 63 cm. It crosses a road of width 6 m. Determine the density of the material used in its
22
construction in kg/m3. Use π = 7 . (4 marks)

9. Show that the number 87 534 216 is divisible by both 4 and 11 (3 marks)

4
10. Simplify the following expression (3 marks)
2𝑚𝑥 + 3𝑝𝑥 − 2𝑚𝑘 − 3𝑝𝑘
𝑥−𝑘

11. Mary arranged all prime numbers less than ten in descending order to get a number. Mary also arranged
all perfect square less than ten in ascending order to get a number. Find the total value of the second
digit in the difference between the numbers (3 marks)

12. The number of cattle, goats and sheep in farm are in the ratio 6: 2: 3 respectively. The total number of
animals in the farm is 1 452. The animals are to be reduced by 25%, 50% and 33⅓% respectively. How
many animals will remain in the farm? (3 marks)

5
13. In a bank customers may withdraw cash through one of the three tellers at the counter. On average, one
teller takes 3 minutes, the others take 5 minutes and 6 minutes respectively to serve a customer. If the three
tellers start to serve the customers at the same time, find the shortest time it takes to serve 210 customers.
(4 marks)

14. In 2009 the population of India was three hundred and forty five million, six hundred and seventy eight
thousand, nine hundred and three while that of China was seven hundred and sixty nine million, three
hundred and one thousand, eight hundred and fifty six. A new census carried out seven years later
revealed that India’s population had increased by a third and that of China by a quarter. Calculate the
sum of the population of the two countries in 2016. (4 marks)

𝑎
15. Express the recurring decimal 5.72̇ as a fraction in the form where a and b are whole numbers hence
𝑏
evaluate (𝑏 − 𝑎). (3 marks)

6
16. Use square and square roots tables only to evaluate. (4 marks)
(0.04478)2 + √0.0009256

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SECTION II (50 Marks)
Answer ALL the questions in this section
17. UK Sacco operates an express minibus between Bondo and Kisumu with a passenger capacity of 32
exclusive of the driver and conductor. The fare between Bondo and Kisumu is Kshs. 250 one way. The
minibus makes 2 round trips between the two towns daily. The driver and conductor are paid daily
allowances of Kshs. 1 500 and 1 000 respectively. Fuel consumption of the minibus per day is
Kshs. 5 000 and a further Kshs. 16 000 is set aside for monthly for insurance and maintenance. The rest
is the profit.
(a) Find the amount of money the minibus raises in one day when full 65% in every trip. (2 marks)

(b) In a given month, the minibus operated for only 20 days and was averagely 80% full in every trip.
Calculate:
(i) The amount raised that month (2 marks)

(ii) The profit realized in that month (3 marks)

(c) In a given day, the minibus was hired by an organization at a rate of Kshs. 3 500 per hour and it
worked for 6 hours. The fuel consumption during the hire was Kshs. 6 800. The driver and
conductor were paid the usual daily rates. Calculate the profit realized by the bus on this day.
(3 marks)

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18. Terry and Maggy entered into a business partnership in which they contributed Kshs. 120 000 and Kshs.
150 000 every year respectively. After one year, Jabali joined the business and contributed Kshs. 90
000.
(a) Calculate the ratio of their investment after 3 years of business. (3 marks)

(b) It was agreed that 30% of the profits after 3 years be used to cater for the cost of running the
business, while the remaining would be shared proportionally. Calculate each person’s share, if the
profit made after three years was Kshs. 1 870 000 (4 marks)

(c) If each of them invested their shares back in the business, find their new individual investments at
the beginning of the fourth year (3 marks)

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19. The figure below shows a metallic sheet of dimensions 51.5 cm by 36.8 cm. Equal squares of side 10
cm are cut from each of the four corners. The remaining sheet is then folded to form a tank

(a) Calculate:
(i) the dimensions of the tank formed (1 marks)

(ii) the capacity of the tank in litres correct to 1 decimal place. (4 marks)

(b) Find the cost of painting the tank on the outer surfaces at a rate of Kshs. 75 per square centimetres.
Give the answer to the nearest Kshs. 1 000. (5 marks)

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20. In the year 2010, the price of a sofa set was Kshs. 18 500.
(a) Calculate the amount of money received from the sale of 230 such sofa sets. (2 marks)

(b) In 2012, the price of each sofa sets sold increased by 15% while the number of sets sold decreased
by 20%.
(i) Calculate the percentage change in the amount received from the sales. (6 marks)

(ii) If at the end of the year 2012, the price of each sofa set changed in the ratio 5: 4, calculate the
price of each sofa set in the year 2013. (2 marks)

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21. (a) A watch which loses 20 seconds every hour was set to read the correct time at 0945 hours on
Monday. Find the time, in 12 hour clock system that the watch will show on Thursday at 2145
hours
(4 marks)

(b) Departure times of a commuter train from various termini are shown in the table below

Terminus Arrival Time Departure Time


A -- 11.23 a.m.
B 11.28 a.m. 11.35 a.m.
C 11.52 a.m. 12.04 p.m.
D 12.12 p.m. 12.27 p.m.
E --

(i) If the train took 47 minutes from D to arrive at E, calculate the overall time that it took to travel
from A to E. (3 marks)

(ii) Calculate the total time that the train took in the breaks within the termini. (3 marks)

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