Displaying items by tag: revision
Monday, 20 September 2021 07:52
Living The Christian Faith - Class 8 CRE Revision Notes
- Living The Christian Faith
- The Meaning of Prayer
- Private and Public Prayers
- Answers to Prayers
- Difference Between Prayer and Magicians
- The Relationship Between Fasting And Prayer
- Self-Denial in Service to Others
- Faith in Daily Actions
- The Meaning of Living Faith
Living The Christian Faith
The Meaning of Prayer
- Prayer is communicating withy God
- There are two types of prayers namely:
- Private prayer
- Public prayer
- During prayer Christians hold a conversation with God. 4. In prayer, one talks to god and also listens to Him.
- There are four elements of prayers
- Adoration
- Confession
- Thanksgiving
- Supplication
- Adoration involves praise and worship
- Supplication involves petition and intercession
- Petition is a prayer on behalf of oneself.
- Intercession is a prayer on behalf of others.
- Prayers should be made in faith and humility.
Quiz
- Confession should be accompanied by
- The parable of teaches about humility in prayer.
Private and Public Prayers
- Prayer is a conversation with God.
- There are public and private prayers
- Private prayer is when one converses with God
- It is called individual or solo prayer
- Public prayer is made in a group
- It is also called communal or corporate prayer
- Public prayer is made aloud
- Such prayers are made in schools, homes or churches
- Public prayers are also made during occasions such as
- Church services
- Weddings
- National holidays
- Christian holidays
- God answers public and private prayers
Quiz
- State the meaning of the following Christian groups abbreviations
- C U
- YMCA
- YWCA
- CA
- Acts 2:42 says________________
Answers to Prayers
- God listens to and answers prayers
- We know God has answered our prayers when what we pray for happens
- Christians expect answers to both public and private prayers
- God can answer prayers in three ways namely:-
- Yes
- No
- Wait
- God answers prayers according to his will
- When God answers “no” it might be that we prayed for something that can harm you
- God answers “wait” when the time is not appropriate for our requests.
- Saul consulted a medium at Endor when God failed to answer his prayers.
- God was angry with Saul because of his disobedience.
- We should obey God so that our prayers get answered.
Quiz
- Write a prayer before exams
- State four elements of prayers
Difference Between Prayer and Magicians
- Magic is manipulating forces in the universe to achieve results.
- It can be used for good or evil purposes
- Consulting magicians comes from lack of trust in God.
- Traditional Africans used magic to produce :-
- Wealth
- Luck
- Success
- Good health.
- Magic creates dependence on magicians who may control victims to their detriment.
- Prayer, unlike magic has positive effects on a Christian.
- It is guided by the free will of a Christian
- Christian prayers lead to peace and reconciliation with God, oneself and others
- Simon of Samaria used magic to do wonders.
- He tried to buy the Holy Spirit using money which offended God.
Quiz
- The words magician utter are called_________________
- Magicians cast__________________ on their victims.
The Relationship Between Fasting And Prayer
- Fasting and prayer are Christians practices.
- Fasting is voluntarily denying oneself food and spend time in prayer.
- It involves self denial and disciplined commitment
- Fasting intensifies the effects of prayers
- Jesus taught his disciples to be humble when praying and fasting.
- He taught that fasting should not be done for a public show.
- One can fast to pray for personal or individual needs.
- Fasting can also be done to intercede for others.
- Genuine fasting is rewarded by God.
- Prayer and fasting brings one nearer to God.
Quiz
- State three bible personalities who went without food for forty day
- _____________________
- _____________________
- _____________________
- Jesus taught that prayer and fasting should be done in_____________________
Self-Denial in Service to Others
- Self-denial is depriving oneself of certain things so as to serve others
- Fasting is an example of self-denial in order to pray.
- Christians also sacrifices money and other resources to serve God.
- Christians also sacrifice their time to serve
- The aged
- Destitute children
- Prisoners
- People living with HIV/AIDS
- Jesus taught that following Him is about self denial
- He taught that Christians must put the interest of others before their own
- Following Jesus involves carrying the cross daily.
- The cross is a symbol of suffering.
Quiz
- List five ways through which Christians demonstrates self-denial
- _______________
- _______________
- _______________
- _______________
- _______________
- Celibacy means______________
Faith in Daily Actions
- Christians face many challenges that require them to demonstrate their faith
- A committed Christian should trust in God even in difficult circumstances
- Christians can demonstrate their faith by :-
- Obeying God’s commandments
- Observing set rules and regulations
- Reporting crime to lawful authorities.
- Being role models
- Helping the needy.
- Self-denial
- Practicing honesty and integrity.
- The bible teaches that Christians should offer themselves as a living sacrifice.
- They should dedicate themselves to God’s service
- Christians should please God in all they do.
- They should allow God to transform them inwardly to be like Him
- We should emulate the example of patriarchs who had total faith in God.
Quiz
- ________________was considered blameless and walked with God
- God called a man after my own heart.
The Meaning of Living Faith
- Living faith involves actions dictated by gospel values.
- Gospel values include :-
- Honesty
- Integrity
- Love
- Mutual caring
- Sharing
- Apostle James teaches that Christian’sfaith should be meaningful
- Living faith is accompanied by actions
- It involves practically showing concern for the needy.
- Faith without action is dead.
- James also taught that Christiansshould confess their sins to one another
- A prayer made in faith by a righteous person has power to heal.
- Jesus taught that it is more blessed to give than to receive.
- We should demonstrate living faith in all we do.
Quiz
- The crippled beggar at the Beautiful gate was healed by _______________ and ______________
- State three reasons for fasting
- ______________________
- ______________________
- ______________________
Published in
CRE Class 8 Notes
Monday, 20 September 2021 07:21
Jesus Christ's Victory Over Pain and Suffering - Class 8 CRE Revision Notes
- Jesus Christ's Victory Over Pain and Suffering
- Causes of Suffering
- Pain and Suffering
- Jesus Christ Triumphs Over Pain and Suffering
- The Purpose of Suffering
- Martyrdom
- Christian Suffering Today
Jesus Christ's Victory Over Pain and Suffering
Causes of Suffering
- Suffering is the feeling of pain, sorrow or discomfort.
- All people experience suffering in different ways
- Suffering is caused by:-
- Natural calamities
- Negligence
- Sickness and death
- Irresponsible sexual behavior
- Armed attacks e.g. by robbers
- War and ethnic clashes
- Violence in homes, at school
- Drug substance abuse.
- Jesus taught that suffering can be caused by sins
- He forgave the sins of the paralyzed man and took away his suffering.
- Suffering can also come so that God’s glory may be seen
- Jesus took away the suffering of the blind man when He sent him to the pool of Siloam.
- We should trust in God to overcome all forms of suffering.
QUIZ
- The Word Siloam means?
- Write three examples of natural calamities.
Pain and Suffering
- Pain and suffering are the same or related
- There are three main types of suffering:
- Physical suffering
- Emotional suffering
- Mental suffering
- Physical suffering involves inflicting pain on the body.
- Emotional suffering involves feelings such as guilt, sadness or joy.
- Mental suffering relates to the mind
- Job suffered mentally, emotionally and physically
- He suffered physically because he got sores all over his body.
- He suffered emotionally because he lost the children he loved
- Job also suffered mentally when he lost everything he owned.
- We should remain faithful to God who helps us overcome suffering.
Quiz
- State three types of suffering each with a valid example
- Name another person in the bible other than Job who suffered physically.
- Job 2:10 says_____________________
Varieties of Mental Suffering
- Any problem that affects the mind causes mental suffering
- Not all people who suffer mentally are mad
- Some people may be depressed while others are retarded.
- Mental suffering can be caused by:-
- Diseases
- Injury to the brain
- Disturbing experiences
- Being naturally born in such a state
- Drug and substance abuse.
- Jesus healed a man who suffered mentally in Gerasa territory.
- The man had an evil spirit which made him mad.
- He was called legion or mob because the demons in him were many
- Jesus has the power to heal those who suffer mentally.
Quiz
- The evil spirits in legion begged Jesus not to__________
- Mad people are also called_____________
- To be possessed means__________________
Varieties of Physical Suffering
- Physical suffering occurs when pain is inflicted in the body.
- Physical suffering can be caused by :-
- Injury
- Deprivation
- diseases
- Brutality
- War
- Poverty
- injustice
- Jesus taught the parable of the rich man and Lazarus.
- The rich man lived in great luxury and comfort
- Lazarus had sores on his body and no food to eat
- The rich man did not show love and concern for Lazarus.
- Lazarus competed with dogs for left over’s from the rich man’s table
- Lazarus trusted in God and ended up being rewarded in paradise.
Quiz
- List down four examples of suffering
- The _____________of _________________, the first Christian martyr made him suffer physically.
Varieties of Emotional Suffering
- People suffer emotionally when they feel rejected or unloved.
- Other cause of emotional suffering may include :-
- Conflict between friends or relatives
- Failure in exams
- Harassment and bullying
- Loss of loved ones
- Breakdown in relationship
- Unemployment or loss of a job.
- Poverty.
- When people suffer emotionally they cry or weep.
- Emotional suffering can be overcome through prayer and moral support.
- It can also be dealt with through guidance and counseling.
- Jesus was tried both by Pirate and Sanhedrin.
- He suffered emotionally because of the false accusations brought up against Him
- Like Jesus, we should always trust in God to help us overcome suffering.
QUIZ
- Which actions of the soldiers made Jesus suffer emotionally?
- ______________________
- ______________________
- Jesus persevered because his suffering had_____________________
Jesus Christ Triumphs Over Pain and Suffering
- Jesus underwent pain and suffering
- He persevered suffering in humility and silence
- He accepted his suffering to save mankind from sin.
- Jesus was the final sacrifice for the deliverance of man
- He suffered to accomplish a mission which was the will of God.
- Prophet Isaiah referred to Jesus as the suffering servant.
- While on the cross Jesus said the following things
- Eloi Eloi Lama Sabachthani
- Father forgive them for they do not know what they are doing.
- Behold your mother, behold your son.
- Today you will be with me in paradise
- I am thirsty
- Father, into your hands I place my spirit.
- It is done it is finished.
- Christians remember Jesus victory over pain and suffering during Easter.
Quiz
- The man who repented after he was crucified with Jesus was________________
- After Jesus’ death, the centurion said__________________
The Purpose of Suffering
- Suffering is worthwhile when it has a purpose
- Africans suffered as they fought for independence
- Jesus died in order to save us from our sins
- Jesus died physically but resurrected from the dead.
- Christians share the experience of Jesus through baptism.
- We share the privilege of Noah, who together with his family was saved from the flood.
- When we suffer because we are Christians, we shall be rewarded. Christians should not suffer for immoral things.
- Apostle peter taught that those who suffer for Christ glorify God.
- In suffering Christians should trust God because He keeps His promises.
Quiz
- A martyr is________________
- _________________was the first Christian martyr
- Jesus sweat blood in the_______________ of ______________
Martyrdom
- A martyr is a person who suffers or dies for their faith.
- Throught history, many people have died or suffered because they refused to denounce their faith.
- Kabaka Mwanga’s rule in the Buganda kingdom led to the death of many Christian
- Among those who died were Charles Lwanga, Joseph Mukasa kizito and Mathias Mulumb
- There is a shrine dedicated to the martyr at Namugongo
- Stephen was the first Christians martyr
- He was one of the seven deacons
- The seven deacons were
- Philip
- Nicanor
- Prochorus
- Nicolaus
- Permenas
- Timon
- Stephen
- Stephen was opposed by the Libertines, the synagogue of Freedmen.
- Jesus promised us the holy spirit to help endure suffering.
Quiz
- Mention tha North African Martyrs
- Acts 7:60 says_________________
Christian Suffering Today
- Some Christians suffer rejection from their friends and relatives
- They are considered traitors because of forsaking their traditional way of life
- Some people are sent away from home after responding to the call for salvation.
- Persistent prayer and faith in God strengthens one’s resolve to follow Christ
- The bible teaches that Christians should share in Christ suffering.
- God rewards those who remain faithful even when persecuted.
- God also saves people from danger and provides them with their needs.
- We should pray for Christians undergoing persecution.
Quiz
- State three types of suffering
- The words spoken by Stephen similar to those spoken by Jesus were_______________________
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CRE Class 8 Notes
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Wednesday, 15 September 2021 09:20
Ratio And Proportion - Class 8 Mathematics Revision Notes
Ratio And Proportion
Worked Exercise
- Muraya and Dan each made 126kg of a mixture of maize and beans. Muraya mixed maize and beans in the ratio 4:3 while Dan mixed maize and beans in the ratio 4:3 while Dan mixed maize and beans in the ratio of 5:4. How many more kilograms?
- 2
- 3
- 4
- 6
Working
In Muraya’s mixture, maize: beans = 4:3
maize = Ratio of maize/Total ratio x No of kg
=4/7 x 126
72kg
In Dan’s mixture, maize: beans = 5: 4
Maize = Ratio of maize/Total ratio x No of kg
=5/7 x 126
= 70kg
Difference = ( 72 - 70 )kg
= 2kg
The correct answer is A (2kg)
- A rectangular plot measures 12m by 10m.The length of the plot is increased in the ratio 3:2 , while the width is decreased in the ratio 4;5.By what ratio is the area of the plot decreased?
- 4:3
- 5:4
- 6:5
- 3:2
Working
New length after increase
3/2 x 12 = 18m
New width after decrease
4/5 x 10 = 8m
Original area before the increase/decrease
= (12 x 10) m2
= 120m2
New area = (18 x 8) m2
= 144 m2
New ratio = 144: 120
= 6 : 5
The correct answer is C (6: 5).
- Gladys keeps hens, ducks, and turkeys. The ratio of hens to ducks is 5:2. The number of turkeys is 35 less than the number of hens. How many turkeys are there if there are 30 ducks?
- 105
- 40
- 75
- 65
Working
Hens : ducks = 5 : 2
Total ratio = 7
Ducks = 2/5
Hens = 5/7 of x
Therefore 2/7 of x = 30
x = 30 x 7/2
x = 105 (Total hens and ducks)
Hens =5/7 x 105
= 75
Turkeys = (75 – 35)
The correct answer is B (40)
- Elijah and Paul shared some money in the ratio 5:8.Elijah got sh120 less than Paul. How much money did Paul get?
- Sh520
- Sh320
- Sh200
- Sh192
Working
Let the amount Paul got be t
Therefore Elijah got (t-120)
Therefore t -120 : t = 5 : 8
t – 120/t = 5/8
8t – 960 = 5t
8t – 5t = 960
3t = 960
t = sh320
Therefore Paul got = sh 320
The correct answer is B (sh320)
- A contractor employed 60 men to complete a piece of work in 150 days. How many more days would 50 men take to complete the same work?
- 180
- 30
- 40
- 50
Working
60 men take 150 days
1 man take (150x60) days
Therefore 50 men will take 150 x 60/50 days
= 180 days
How many more? (180 – 150) days
= 30 days
The correct answer is B (30 days)
- Eighteen men can finish to dig a piece of land in 45 days. How many days would 15 men take to finish the same piece of land?
- 54
- 2
- 7½
- 9
Working
18 men take 45 days
1 man takes (45 x 18) days
Therefore 15 men will take 45 x 18/15
= 54 days
The correct answer is A (54 days)
Published in
Mathematics Class 8 Notes
Tagged under
Wednesday, 15 September 2021 09:03
Scale Drawing - Class 8 Mathematics Revision Notes
Scale Drawing
Worked Exercise
- The distance between two villages is 6.4KM. On the map of the region this distance is represented by a line 1.6 cm long. What is the scale of the map?
- 1: 400000
- 1: 40000
- 1: 4000
- 1: 4
Working
Actual distance = 6.4 km
Drawing length = 1.6cm
1 cm on the map = 6.4/1.6
= 4km on the ground
But 1 km = (1000 x 100) cm
4km = 4 x 1000 x 100
= 400000cm
Therefore scale = 1: 400000
The correct answer is A (1: 400000)
- A rectangular field measures 105 m. On a scale drawing of the field, the longer side is 7cm.What is the measurement of the width on this scale drawing?
- 5 cm
- 50 cm
- 500 cm
- 7.35cm
Working
7 cm represents 105 m
1 cm represents (105 ÷ 7)
Scale used,
1 cm represents 15m
? 75m
= (75 x 1)/15
5cm
The correct answer is 5cm (A)
- The scale on a plan is 1:20. How many cm will represent 1m on this plan?
- 50 cm
- 50 cm
- 5 cm
- 2 cm
Working
1 : 20 scale means 1 cm on a drawing represents 20 cm on the ground.
1 cm represents 20cm
? 100cm
=100/20
= 5cm
The correct answer is C (5cm)
- A rectangular field measuring 720m by 550m is to be represented on a scale drawing using the scale 1: 10,000. What is the perimeter of the drawing in centimetres?
- 0.254
- 2.54
- 25.4
- 254
Working
1: 10000 means 1 cm on the map represents 10000 cm on the ground
If 1 cm = 10,0000cm
? = 72,000cm
= (72000/10000) cm
= 7.2cm
If 1cm = 10,000cm
= 55,000cm
= ( 55,000/10,000 ) cm
= 5.5cm
Perimeter
P = 2(L+W)
= 2 (7.2 + 5.5)
= 25.4 cm
The correct answer is (C)
- The scale of a map is 1: 50000. What is the length of this map of a road 20km long?
- 40cm
- 400 cm
- 4000 cm
- 4 cm
Working
Scale 1 : 50000 means 1cm on the map represents 50000 cm on the ground.
20 km = 20 x 1000 x 100
= 2000000 cm
50,000cm represents = 1 cm
2,000,000 represents = 2,000,000 ÷ 50,000
= 40cm
The correct answer is A (40 cm)
Published in
Mathematics Class 8 Notes
Tagged under
Wednesday, 15 September 2021 08:28
Algebra - Class 8 Mathematics Revision Notes
Algebra
Worked Exercise
- What is the value of x in the equation?
2(3x – 2) = 3x + 8- 12
- 3
- 5
- 4
Working 2 (3x – 2 ) = 3x + 8
Step 1: Open brackets 6x – 4 = 3x + 8
Step 2: Collect like terms and simplify 6x – 3x = 8 + 4 3x = 12 x = 4
The correct answer is D (4)
- Francis has r shillings. John has s shillings. Ouma has sh.150 less than the total money of both Francis and John. Which one of the following expressions gives the total amount of money do the three men have?
- 2r + 2s – 150
- r + s – 150
- 2r + 2s + 300
- r + s + 300
Working
Francis = r
John = s
Ouma = r + s - 150
Total money = r + s + r + s – 150
= 2 r + 2s – 150
The correct answer is A (2r + 2s – 150)
- If x = 2, y = z - x and z = 3, What is the value of
3x – 4y + 2z
2 (x + 2y – z)- 8
- 5
- 7
- 4
Working
Substitute the values of x, y, and z
= (3x2) – (4x1) + (2x3)
2 (2+2 x 1 - 3)
= 8/2 = 4
The correct answer is D (4)
- In a meeting there were 30 women than men and three times as many men as children.If there were 1,360 people altogether. What was the number of children in the meeting?
- 220
- 190
- 600
- 570
Working Men 3x
Children x
Women 3x + 30
Total 7x + 30 = 1360
7x = 1360- 30
7x = 1330
x = 190
Children are 190
The correct answer is B (190)
- What is the value of p in the equation?
¾(8p- 4) = 4p +7- 2
- 5
- 5½
- 2 3/8
Working
¾(8p - 4) = 4p +7
6p – 3 = 4p + 7 (opening brackets)
6p – 4p = 7 + 3 (collecting like terms)
2p = 10
p = 5 (Simplifying)
The correct answer is B (5)
- Omammo is two years older than Temo and three years younger than Mbeti. The sum of their ages is 64 years. If Omamo’s age is m, which of the following equations below can be used to find Omamo’s age?
- 3m + 1 = 64
- 3m – 1 = 64
- 3m – 5 = 64
- 3m + 5 = 64
Working
Omamo = m
Temo = m- 2
Mbeti = m + 3
Total age = 64
X + m – 2 + m + 3 = 64
m + m + m – 2 + 3 = 64
3m + 1 = 64
The correct answer is A (3m + 1 ) = 64
- What is the simplified form of 5x + (8x – 2y)
- 37x – 8y
- 7x –
- 28x – 2y
- 7x – 2y
Working
5x + ¼(8x – 2y ) open brackets
5x + 2x – ½y simplify
= 7x – ½y
The correct answer is B (7x – ½y)
Published in
Mathematics Class 8 Notes
Wednesday, 15 September 2021 07:56
Geometry - Class 8 Mathematics Revision Notes
Geometry
Worked Exercise
- Find the value of x in the following.
Working
X+45+50=1800 (Angles on a straight lines are supplementary i.e. add up to 180º )
X+95=180º
X=85º
The value of x =85º - Find the sum of angle “a” and angle “b” in the figure below.
Working
Lines AB and C D are transversals are Therefore 90+b = 1800
Co-interior angles - supplementally
Therefore b=180-90
B = 90º
Angle a = 120º - (Corresponding angles)
Therefore a = 120º
Sum of a and b
=120 + 90
= 210º - Find the size of angle marked A B D in the figure below.
X+4x+x+30=180º (angles on a straight line are supplementary)
= 6x+30=180
6x=180-30
6x = 150
X = 25
Angle A B D =x + 4X
But x = 25
Therefore 25 + (4 x 25)
= 25 + 100
= 125º - Draw an equilateral triangle A B C where Line AB = 6cm.
Draw a circle touching the 3 vertices of the triangle. What is the radius of the circle?
Working
Steps:- Draw line A B = 6cm
- With A as the Centre with the same radius 6cm, mark off an arc above line A B.
- With B as the Centre with the same radius 6cm, mark off an arc above line A B to meet the arc in (II) above. Call the point of intersection point C
- Join C to A and C to B
- Bisect line A B and B C and let the bisectors meet at point X.
- With X as the Centre, draw a circle passing through points A, B and C.
- Measure the radius of the circle.
- Construct a triangle P Q R in which Q P = 6cm. Q R = 4cm and P R =8cm. Draw a circle that touches the 3 sides of the triangle, measure the radius of the circle.
Working- Draw line Q P 6cm
- With Centre Q, make an arc 4cm above line Q P.
- With Centre P, make an arc 8cm above line Q P and let the arc meet the one in (II) above. Label the point of intersection as R.
- Join R to P and R to Q.
- Bisect any two angles and let the bisectors meet at point Y.
- With Y as the Centre, draw a circle that touches the 3 sides of the triangle.
Construction
R = 3.5cm
- A rectangle measures 6cm by 2½ cm. What is the length of the diagonal?
Working
AC2 = AB2 + BC2 [ Pythagoras Theorem]
AC2 = 62 + 2 ½2
AC2 = 36 + 6.25
AC2 = 42.25
AC = √42.25
= 6.5 or 6 ½
NB: The Pythagoras theorem states
H2 =B2 +h2
h2 = H2 – b2
b2 = H2 –h2 - In the figure below, A B C is a straight line and B C D E is a quadrilateral. Angle CBD = 620 and lines EB = BD = DC. Line EB is parallel to DC.
What is the size of angle BDE?
Working
Consider triangle BCD (isosceles triangle)
Therefore base angles are equal
CBD = 62º
BCD = 62º
Therefore, BDC = 180 – 124 = 56º
Angle CDB = angle EBD [Alternate triangle]
Therefore EBD = 56º
Angle BDE =180 - 56/2
= 62º
Therefore, BDE = 62º - Find the size of the largest angle from the following triangle.
Working
4X – 10 + x – 20 + 3x + 10 = 180 [Angle sum of a triangle]
8x – 20 = 180
8x = 200
X = 25
4x – 10 = (100 – 10)º
= 90º largest angle.
Published in
Mathematics Class 8 Notes
Wednesday, 15 September 2021 07:28
Time, Speed and Temperature - Class 8 Mathematics Revision Notes
Time, Speed and Temperature
Worked Exercise
- An airplane took 4½ hours to fly from Cairo to Zambia. If it landed in Nairobi at Nairobi at 0215 h on Saturday, when did it take off from Cairo?
- Friday 2145 h
- Saturday 2245h
- Friday 2245h
- Saturday 2145 h
Working
The time the aeroplane took from midnight to 0215h of Saturday = 2h 15min
The difference (4h 30min – 2h 15min) is the time the aero plane took on Friday night.
Time on Friday night
h min
4 30
- 2 15
2 15
= 2h 15min before midnight
Time of takeoff from Cairo
h min
24 00
- 2 15
21 45 on Friday
The correct answer is A (Friday 2145 h)
- A train let Mombasa on Monday at 2125 h and took sixteen and half hours to reach
Kisauni. When did the train reach Kisumu?- Tuesday 1.55 a.m
- Tuesday 1.55 p.m
- Wednesday 1.55 p.m
- Monday 1:55 a.m
Working
Monday: from 2125h to midnight = 2400h - 2125h
= 2h 35min
Tuesday: Number of hours traveled from midnight
= 16h 30min - 2h 35 min
= 13h 55min
The train arrived at Kisumu on Tuesday at 1355h
This is the same as 1.55p.m
The correct answer is B (Tuesday 1.55pm)
- A meeting started at quarter to noon. If the meeting lasted for 2 h 35min, what time in 24-h clock system did the meeting end?
- 1320h
- 1420h
- 1310h
- 1410h
Working
The meeting started at 11.45
Add the meeting time
h min
11 45
+ 2 35
14 20
The meeting ended at 1420h
The correct answer is B (1420 h)
- A wall clock gains 3 seconds every one hour. The clock was set correct at 1pm on Tuesday. What time was it showing at 1pm on Friday on the following week?
Working
The number of days from Tuesday 1 pm to Friday 1pm the following week = 10days.
Number of hours = (24 x 10) = 240 hrs.
The clock gains 3 seconds after every hour in ten days.
240 x 3 = 720 seconds
Min = 720/60 = 12 min
Hence it will show 1 p.m. + 12 min = 1.12 pm
In 24 h clock system
= 1312h
The correct answer is B (1312h) - A cyclist traveled from Nairobi to Nyeri for 4h 30min at a speed of 80km/h. He drove back to Nairobi taking 4 hours. What is his speed, in km/h?
- 90
- 72
- 80
- 100
Working
Distance = speed x time
= 80 x 4½
= 360 km
From Nyeri - Nairobi distance = 360km
Time taken = 4hrs
Therefore speed = Distance/Time
= 90km/h
The correct answer is A (90km/hr)
- A motorist crosses a bridge at a speed of 25m/s. What is his speed in km/hr?
- 80
- 90
- 60
- 30
Working
When working out this kind of question we use a relationship,
If 10 m/s = 36 km/h
25m/s = ?
= ( x 36) km/h
= 90 km/h
The correct answer is B (90km/h)
- The distance between Mombasa and Mtito Andei is 290km. A bus left Mombasa at 1035h and traveled to Mtito Andei at a speed of 50km/h. At what time did it arrive at Mtito Andei?
- 1623h
- 1523h
- 1423h
- 1723h
Working
Time = Distance/Speed
= 290/50
= 5 4/5hours or 5h 48min
Arrival time = Departure time = Time taken + Time taken
h min
10 35
+5 48
16 23
The arrival time 1623 h
The correct answer is A (1623h)
- Kamau drove from town M to town N a distance of 150 km. He started at 9.30 am and arrived at town N at 11.00 am. He stayed in town for one hour and 50 minutes. He drove back reaching town M at 2.30pm. Calculate Kamau’s average speed for the whole journey.
- 90km/h
- 100km/h
- 60km/h
- 150 km/h
Working
Total distance from M to N and back
= 150 x 2
= 300 km
Total time taken
From 9.30 - 11.00 = 1 h 30 min
Time spent in town
= 1 h 50 min
Time taken from N to M
= 1430h – 1250h
= 1h 40min
Total time = 5 hours
Average speed = Total distance/Total time taken
=(60km/h)
The correct answer is C (60km/h)
- The temperature of an object was 20º C below the freezing point. It was warmed until there was a rise of 40º in temperature. What is the reading in the thermometer?
- 60 Cº
- 40Cº
- 20Cº
- 20Cº
Working
Below freezing point means; - 20
Rose by 40º
Therefore - 20º + 40 = 20 C
The correct answer is C (20º C)
Published in
Mathematics Class 8 Notes
Tagged under
Wednesday, 15 September 2021 07:02
Money - Class 8 Mathematics Revision Notes
Money
Worked Exercise
- Mutiso paid sh.330 for an item after the shopkeeper gave him a 12% discount. What was the marked price of the radio?
- sh300
- sh369.60
- sh375
- sh350
Working
Marked price = 100%
Discount = 12%
S.P = 100% - 12%
= 88%
If 88 % = 330
100% = ?
100 x 300/88 = Sh375
The correct answer is C (375)
- Olang’ borrowed sh.54000 from a bank which charged interest at the rate of 18% p.a. He repaid the whole loan after 8 months .How much did he pay back?
- sh6480
- sh60, 480
- sh14580
- sh77760
Working
I = PRT/100
= 54000 x 18 x 8/100 x 12
= sh6480
Amount = P + I
= (54,000 + 6,480) shillings
= Ksh 60, 480
The correct answer is B
- The cash price of a microwave is sh. 18000. The hire purchase price of the microwave is 20% more than the cash price. Bernice bought it on hire purchase terms by paying 40% of the hire purchase price as the deposit and the balance equal monthly installments of sh1620. How many installments did she pay?
- 12
- 10
- 9
- 8
Working
Let the cash price be 100%
Hire purchase = 100% + 20%
= 120% of the cash price
= 120/100 x 1800
= sh.21, 600
Deposit = 40% of HPP
= 40/100 x 21,600
= sh.8, 640
HPP = D + MI
I = HPP - D/MI
= 21600 – 8640/1620 - = 8 Months
The correct answer is D (8)
- Salim deposited sh25000 in a bank which paid compound interest at the rate of 10% per annum. If he withdraws all his money after years, how much interest did his money gain?
- sh5250
- sh2500
- sh1375
- sh387
Working
Interest for year 1
I = PRT/100
= 25000 x 10 x 1/100
= Sh2500
Amount = 25000 + 2500
= 27,500
Interest for 2nd year
I = PRT/100
= 27,500 x 10 x ½/100
= Sh13775
Total interest (2,500 + 1,375)
= Sh3875
The correct answer is D (Sh 3875)
- Kamaru bought bananas in groups of 20 at sh20 per group. He grouped them into smaller groups of 5 bananas each and sold them at sh10 per group. What percentage profit did he make?
- 40%
- 50%
- 60 %
- 70%
Working
For every 20 bananas = sh 25
One group produces 4 smaller groups of 5 bananas each
S. P = 4x 10
= sh40
B.P price = sh25
Profit = 40 – 25
= sh15
% profit = P/BP x 100
= 60%
The correct answer is C (60).
- A shopkeeper bought 3 trays of eggs at sh 150 per tray. On the way to the shop, he realized 20% of the eggs were broken. He sold the rest at sh 72 per dozen. How much loss did he make?
- sh450
- sh432
- sh18
- sh28
Working
B.P for 3 trays = 3 x 150
= sh450
Number of eggs = 3 x 30
= 90 eggs
20% eggs broke = 20/100 x 90
= 18 eggs broken
Therefore remained = (90 - 18) eggs
= 72 eggs
1 dozen = 12 eggs
? = 72 eggs
= 6 dozens
1 dozen = sh.72
6 dozens = ?
Loss = B.P – S.P
= 450 - 432
sh18
The correct answer is C (sh18)
- A Salesperson earns a basic salary of sh7500 per month. He is also paid a 5% commission on all sales above sh30, 000. In a certain month his total earnings were sh.14250. What was his total sales for that month?
- sh135000
- sh285000
- sh165000
- sh315000
Working
Commission = sh14250 – sh7500
= sh6750
5% = sh6750
100% = ?
= 100/5 x 6750
= Sh. 135,000
Total sales = (135,000 + 30,000)
= sh165000
The correct answer is C (sh 165,000)
- Shiku bought the following items from a shop
6kg of sugar @ sh45
½ of tea for sh90
3 kg of rice @ sh30
2kg of fat @ sh70
If she used one thousand shillings to pay for the items, what balance did she receive- sh410
- sh455
- sh590
- sh765
Working
Shiku’s Bill
Item Sh ct 6kg sugar @ sh45 270 00 ½ kg tea for sh90 90 00 3kg rice @ sh30 90
00 2kg fat @ sh70 140 00 Total 590 00
Balance = sh1000 – sh590
The correct answer is = sh410 (A)
- Maranga paid sh4, 400 for a bicycle after he was given a 12% discount. James bought the same item from a different shop and was given a 15%. How much more than James did Maranga pay for the bicycle?
- sh250
- sh300
- sh750
- sh150
Working
Maranga B.P = 100% - 12%
= 88%
4400/88 x 100 = sh5000
James B.P = 100% - 15%
= 85%
85 x 100/4400 = sh4,250
How much more? = (5000-4250) shillings
= sh750
The correct answer is C (750)
- The table below shows postal charges for sending letters;
Mass of letter Sh ct Up to 20g 25 00 Over 20g up to 50g 30 00 Over 50g up to 100g 35 00 Over 100g up to 250g 50 00 Over 250g up to 500g 85 00 Over 500g up to 1kg 135 00 Over 1kg up to 2kg 190 00
Namu posted two letters each weighing 95g and another one weighing 450g. How much did he pay at the post office?- sh120
- sh135
- sh155
- sh240
Working
Two letters
95g → Sh35.00
95g → Sh35 .00
Another 450g → Sh85.00
The correct answer is C (sh155)
Published in
Mathematics Class 8 Notes
Wednesday, 15 September 2021 06:44
Volume, Capacity and Mass - Class 8 Mathematics Revision Notes
Volume, Capacity and Mass
Worked Exercises
- A Jerry can contains 5 litres of juice. This juice is used to fill 3 containers each of radius 7 cm and height of 10cm. How many milliliters of juice are left in the jerry can?
- 38
- 480
- 400
- 420
Working
Volume of container: = Πr2 h
=22/7 x 7 x 7 x 10
= 1540 cm3
Volume of 3 such containers
= (1540x3) cm3
= 4620 cm3
Volume of juice in jerry can = (5 x 1000)
= 5000cm3
Volume of juice left = (5000-4620) cm3
= 380 cm3
= 380 ml
The correct answer is A (380ml)
- The diagram below represents a solid whose dimensions are shown.
What is the volume in cm3?- .30000
- 300000
- 3000
- 3000000
Working
Volume = Area of the Cross-section x length
Volume of the top = (20 x 10 x 150)
= 30,000cm3
Volume of the bottom = 60 x 30 x150
= 270,000cm3
Whole solid = top + bottom
= 30,000 + 270,000
= 300,000cm3
The correct answer is B (300 000)
- In the month of October, a farmer delivered 48750kg of maize to a miller. In November the amount of maize delivered was 1850kg more than that of October. The amount delivered in December was 2450kg less than that of November. What was the total mass, in tonnes, was delivered by the farmer in the 3 months?
- 145.65
- 147.5
- 152.4
- 150.55
Working
October = 48750 kg
November = (48750+1850) kg
= 50,600 kg
December = 50,600-2,450) kg
= 48,150 kg
Total mass = 48750+50600 +48150
= (147500/1000) tonnes
= 147.5 tonnes.
The correct answer is B (147.5)
- A rectangular tank measures 1.2m by 80cm by 50cm. water is poured into the tank to a height of 15cm. How many more liters of water are needed to fill the tank?
- 144
- 14.4
- 33.6
- 336
Working
Capacity of the tank = 120 x 80 x 50
= 480,000cm3
Convert to litres = 480,000/1000
= 480litres
Volume of the water poured = 120 x 80 x 50
= 144000cm3
Convert to litres = 144000/1000
= 144 litres
Volume of water needed = 480 – 144 = 366litres.
The correct answer is D (366)
- The diagram below represents a solid triangular prism.
What is the volume in cm3?- 2400
- 2000
- 5200
- 576
Working
Apply Pythagorean relation in triangle ABC
BC =√262 -102
=√576
= 24cm
Volume = Area of the Cross section x length
= ½ x 24 x 10x 20
= 2400cm3
The correct answer is A (2400cm3)
- A cylindrical tank has a radius of 2m and a height of 1.5m. The tank was filled with water to a depth of 0.5M. What is the volume of water in the tank, in litres? (П = 3.14)
- 6280
- 628
- 9240
- 18840
Working
Volume = П r 2h
= 3.14 x 2 x 2 x 0.5
= 6.28 m3
In litres = (6.28 x1000) litres
= 6280 litres
The correct answer A (6280)
- When processed, 7kg of coffee beans produce 1kg of processed coffee. Processed coffee is then packed in 50kg bags. A farmer delivered 5.6 tonnes of coffee berries in one month. How many bags were obtained?
- 12
- 16
- 40
- 20
Working
Mass of coffee berries = 5.6tonnes
= 5.6x1000
= 5600kg
Mass obtained = 5600/7
= 800kg
Number of bags = 800 ÷ 50
= 16 bags
The correct answer is B (16)
- A rectangular container whose base measures 40cm by 60cm has 30 liters of water when full. Find the height of the container in cm.
- 0125
- 1.25
- 12.5
- 125
Working
V = base area x height
Height = volume/base area
Volume = 30 litres
= 30x1000
= 30,000cm3
Height = 30,000/2400
= 12.5cm
The correct answer is C (12.5)
- A shopkeeper had 43 litres sand 5 litres and 5 dl of paraffin. He packed all the paraffin in 7.5 dl-containers. How many containers did he fill?
- 58
- 5.8
- 6
- 60
Working
Convert decilitres into litres
1 dl =1/10 litres
5 dl =5/10 litres
7.5 dl =7.5/10 litres = 0.75 litres
Hence 43 litres 5dl = 43.5 litres
No of containers = 43.5/0.75 = 58 containers
The correct answer is 58 (A)
- The figure below shows a cylindrical solid of diameter 28cm and length 20 cm. A square hole of side 1.5 cm has been removed. What is the volume of the material in the solid, in 3cm3?
- 12320
- 4500
- 8400
- 7820
Working
Volume of solid = volume of a cylinder - volume of the square hole
= ( x 14 x 14x 20) - (15 x 15 x 20)
= 12320 - 4500
= 7,820 cm3
The correct answer is D (7,820cm3)
Published in
Mathematics Class 8 Notes
Tuesday, 14 September 2021 13:10
Numbers - Class 8 Mathematics Revision Notes
In this section you will need the following hints to solve the exercises:
- Place value of whole numbers
- Total value of whole numbers
- Multiplication of whole numbers/tables
- BODMAS
- LCM and GCD
Worked Exercise
- What is four million seventy thousand and five hundred and thirty three?
- 4,070,353
- 4,070,533
- 4,007,533
- 4,700,533
Working
Using the place value table, the question can be solved as follows:
MillionsHundred
ThousandsTen
thousands
Thousands
Hundreds
tens
Ones4 0 7 0 5 3 3
- What is the square root of 7 9/16
- 7 ¾
- 2 ¾
- 1 3/8
- 21/16
Working
Step 1: Change the mixed fraction to improper Find the square root of both numerator and denominator.
Step 2: Find the square root of both numerator and denominator
= √121
√16
=11/4
Step 3: Change the improper fraction to mixed fraction
= 2¾
The correct answer is B
- What is 25% as a fraction?
- 1/5
- ¾
- ½
- ¼
Working
Step1: Express the percentage with 100 as a denominator.
=25/100
Step 2: Simplify
=¼ correct answer is D
- What is the value of of 1/3 of(½ + 1/9) ÷1/6
- 11/324
- 1/99
- 12/9
- 4/11
Working
Step1: Using the order of operation, BODMAS, solve the brackets first.
1/2 + 1/9 = 11/18
Step 2: Open brackets and calculate ‘of ‘
=1/3 of (11/18) ÷ 1/6
=1/3 x (11/18) ÷ 1/6
=11/54 ÷ 1/6
Step3: Calculate the division part
=11/54 ÷ 1/6
=11/54 x 6/1(multiply by the reciprocal of 1/6)
=11/9
Step 4: Change the improper fraction to mixed fraction.
= 1 2/9
The correct answer is C.
- The price of radio is Sh1800. The price was reduced by 15% during an auction. How much is the price after the reduction?
- Sh270
- Sh2070
- sh1530
- sh1785
Working
Marked price = Sh1800
Percentage decrease = 15%
New price
85% of Sh1800 (100% - 15%)
= 85 x 1800/100
= Sh1, 530
The correct answer is Sh 1530 (C)
- In a certain year a tea factory produced 2500 tonnes of tea leaves. The following year the tonnes increased to 4000. What is the percentage increase?
- 160%
- 62½ %
- 60%
- 37½ %
Working
First year = 2500 tonnes
Second year = 4000 tonnes
Increase = 1500 tonnes (4000-2500)
% Increase = Increase x 100/Original
= 60%
The correct answer is C (60%)
- What is the next number in the sequence below.
6, 10, 19, 35, ….. - 60
- 84
- 71
- 51
Working
The next difference is 5² = 25
The next number is 35 + 25 = 60
The correct answer is A (60)
Published in
Mathematics Class 8 Notes