- The diagram below shows a circle with centre P(5,5) and radius 5 units.
(a) Write down in terms of x and y the equation of the...(Solved)
The diagram below shows a circle with centre P(5,5) and radius 5 units
(a) Write down in terms of x and y the equation of the circle in the form ax2+by2+cx+dy+e=0 where a,b,c,d and e are constants.
(b) Determine the gradient of PQ
(c) Find the equation of the tangent at Q in the form ax+by=c.
Date posted: August 14, 2019. Answers (1)
- A positive two digit number is such that the product of the digits is 20.When the digits are reversed,the number so formed is greater than...(Solved)
A positive two digit number is such that the product of the digits is 20.When the digits are reversed,the number so formed is greater than the original number by 9.Find the number.
Date posted: August 14, 2019. Answers (1)
- A train whose length is 60 metres is travelling at 40km/h in the same direction as a bus whose length is 20m.If the speed of...(Solved)
A train whose length is 60 metres is travelling at 40km/h in the same direction as a bus whose length is 20m.If the speed of bus is 80km/h and moving parallel to the train, calculate the time it takes the truck to overtake the train completely in seconds.
Date posted: August 14, 2019. Answers (1)
- If X is a positive integer, find all possible values of x given that(Solved)
If X is a positive integer, find all possible values of x given that
Date posted: August 14, 2019. Answers (1)
- From a point A, the angle of elevation of top of a watch tower is 200.From another point which is 25m from the base of...(Solved)
From a point A, the angle of elevation of top of a watch tower is 200.From another point which is 25m from the base of the tower, the angle of elevation of the top of the tower is 260.Giving your answer to three decimal places, determine the height of the tower and hence calculate the distance between the points A and B if they are both on the same side of the tower and lie on a straight line with the base of the tower.
Date posted: August 14, 2019. Answers (1)
- Two boys and a girl shared some money .The elder boy got four-nineth of it, the younger boy got two-fifth of the reminder and the...(Solved)
Two boys and a girl shared some money .The elder boy got four-nineth of it, the younger boy got two-fifth of the reminder and the girl got the rest. Find the percentage share of the younger boy to the girl’s share.
Date posted: August 14, 2019. Answers (1)
- Without using mathematical tables or calculators, evaluate the following leaving your answer as a fraction in its simplest form.(Solved)
Without using mathematical tables or calculators, evaluate the following leaving your answer as a fraction in its simplest form.
Date posted: August 14, 2019. Answers (1)
- The diagram below shows the sketch of the curve y = x2 and y = -x2 + 8 intersecting at A and B.
a) Find the...(Solved)
The diagram below shows the sketch of the curve y = x2 and y = -x2 + 8 intersecting at A and B.
a) Find the value of a and b hence find the co-ordinates of A and B.
b) Find the area enclosed by x = a and x = b, The x axis and
i) The curve y = x2
ii) the curve y = -x2 + 8
c) Find the area of the shaded region.
Date posted: August 14, 2019. Answers (1)
- Three businessmen Mutuku, Mutiso and Kitili decided to buy a bus. The market price of the bus was sh2,800,000. The men could pay a deposit...(Solved)
Three businessmen Mutuku, Mutiso and Kitili decided to buy a bus. The market price of the bus was sh2,800,000. The men could pay a deposit of 60% of the money and the rest to be paid within one year. Mutuku, Mutiso and Kitili raised the deposit in the ratio 3:2:5 respectively. The balance was to be paid to the dealer from the proceeds of the bus in the same deposits. During the year the bus realized sh.2,080,000
a) How much deposit did each contribute?
b) How much of the remaining amount did Kitili pay at the end of the year?
c) After paying the remaining amount at the end of the year, how much money was Mutuku left with?
Date posted: August 14, 2019. Answers (1)
- Using a ruler and a pair of compasses only,i) Construct a quadrilateral ABCD with AB = 6cm, BC = 5cm, CD = 8cm, AD =...(Solved)
Using a ruler and a pair of compasses only,
i) Construct a quadrilateral ABCD with AB = 6cm, BC = 5cm, CD = 8cm, AD = 7cm and angle ABC = 150o
ii) Construct a circle that will pass through points A, D and C.
iii) Find the shortest distance from the centre of the circle to side AB.
iv) Measure the length constructed in (iii) above.
Date posted: August 14, 2019. Answers (1)
- In the figure below P and Q are centres of two circles intersecting at A and B. The radii are 5cm and 8cm as shown in...(Solved)
In the figure below P and Q are centres of two circles intersecting at A and B. The radii are 5cm and 8cm as shown in the diagram. Length of AB = 8cm.
Determine;
a) Length PQ
b) The size of angle APB
c) The area of the shaded region.
Date posted: August 14, 2019. Answers (1)
- The length of a room is 3m loner than its width. A carpet whose area is 18m2 is laid in the middle of the room...(Solved)
The length of a room is 3m loner than its width. A carpet whose area is 18m2 is laid in the middle of the room leaving a margin of 0.5m wide between the carpet and the wall all round the room.
a) If the width of the room is x, write an expression for the dimensions of the carpet in terms of x.
b) Express the area of the carpet in terms of x
c) Determine the dimensions of the room.
d) Determine the space between the carpet and the wall is covered by a material which costs sh 245 per square metre. Find the cost of the material required.
Date posted: August 14, 2019. Answers (1)
- The table below shows the length of 40 carrot seedlings.
a) Determine the;
i) Modal class.
ii) Median class.
b) calculate;
i) The mean length of the seedlings.
ii)...(Solved)
The table below shows the length of 40 carrot seedlings.
a) Determine the;
i) Modal class.
ii) Median class.
b) calculate;
i) The mean length of the seedlings.
ii) The median of the seedlings.
Date posted: August 14, 2019. Answers (1)
- If a and b are as given below,find the scalars m and n if the condition below is true.
(Solved)
If a and b are as given below,find the scalars m and n if the condition below is true.
If 
Date posted: August 14, 2019. Answers (1)
- Find the equation of a perpendicular bisector to line AB given that A (2, 3) and B (-6, 5). Give your answer in the form...(Solved)
Find the equation of a perpendicular bisector to line AB given that A (2, 3) and B (-6, 5). Give your answer in the form y = mx + C.
Date posted: August 14, 2019. Answers (1)
- On a day when the currency exchange rate was 100 Japanese Yen = Ksh 72.50 a Japanese tourist exchanged all his money and received Ksh....(Solved)
On a day when the currency exchange rate was 100 Japanese Yen = Ksh 72.50 a Japanese tourist exchanged all his money and received Ksh. 34,800. If the bank charged him a commission of 4% on the transaction, calculate the number of Japanese Yen he exchanged.
Date posted: August 14, 2019. Answers (1)
- In the diagram below, ABCD is a parallelogram AD is produced to E and BE and CD meet at F.If o and (Solved)
In the diagram below, ABCD is a parallelogram AD is produced to E and BE and CD meet at F.
If o and o, find the size of angle ABF.
Date posted: August 14, 2019. Answers (1)
- The interior angle of a regular polygon is 20o more than three times the exterior angle. Determine the number of sides of the polygon.(Solved)
The interior angle of a regular polygon is 20o more than three times the exterior angle. Determine the number of sides of the polygon.
Date posted: August 14, 2019. Answers (1)
- Solve for x without using tables.
Sin (2x – 30o) – cos 4x = 0 for 0o = x = 90o.(Solved)
Solve for x without using tables.
Sin (2x – 30o) – cos 4x = 0 for 0o ≤ x ≤ 90o.
Date posted: August 14, 2019. Answers (1)
- Jane spent two-thirds of her April salary on school fees for her children and two-fifth of the remainder on food. If she was left with...(Solved)
Jane spent two-thirds of her April salary on school fees for her children and two-fifth of the remainder on food. If she was left with sh.6000, what was her net pay?
Date posted: August 14, 2019. Answers (1)