- A pail is in the shape of a container frustrum with base radius 6cm and top radius 8cm. The slant height of the pail is
30cm...(Solved)
A pail is in the shape of a container frustrum with base radius 6cm and top radius 8cm. The slant height of the pail is
30cm as shown below. The pail is full of water.
(a) Calculate the volume of water.
(b) All the water is poured into a cylindrical container of circular radius 7cm, if the cylinder has the height of 35cm;
calculate the surface area of the cylinder which is not in contact with water.
Date posted: April 26, 2019. Answers (1)
- Every Sunday Barmao drives a distance of 80km on a bearing of 0740 to pick up her sister Afandi to go to church. The
church is...(Solved)
Every Sunday Barmao drives a distance of 80km on a bearing of 0740 to pick up her sister Afandi to go to church. The
church is 75km from Afandi’s home on bearing of S500E. After church they drive a distance of 100km on a bearing of
2600 to check on their friend Akoth before Barmao drives to Afandi’s home to drop her off then proceed to her house.
(a) Using a scale of 1cm to represent 10km, show the relative positions of these places.
(b) Use your diagram to determine:
(i) The true bearing of Barmao’s home from Akoth’s house.
(ii) The compass bearing of the Akoth’s home from Afandi’s home.
(c) (i) The distance between Afandi’s home and Akoth’s home.
(ii) The total distance Barmao travel every Sunday.
Date posted: April 26, 2019. Answers (1)
- The figure below shows two circles of radii 10.5cm and 8.4cm and with centres A and B respectively. The common chord PQ is 9cm.(Solved)
The figure below shows two circles of radii 10.5cm and 8.4cm and with centres A and B respectively. The common chord PQ is 9cm.
(a) Calculate angle PAQ.
(b) Calculate angle PBQ.
(c) Calculate the area of the shaded part.
Date posted: April 26, 2019. Answers (1)
- Leonorah Jerop was on top of a cliff 30m high sees two boats P and Q out at sea. Both boats were in the same...(Solved)
Leonorah Jerop was on top of a cliff 30m high sees two boats P and Q out at sea. Both boats were in the same line and
the angle of depression from Leonorah to P was 420 and the angle of depression from Leonorah to Q was 270. Calculate
the distance then between the two boats.
Date posted: April 26, 2019. Answers (1)
- Express 1.441441........... in the form p/q where p and q are integers. (q # o)(Solved)
Express 1.441441........... in the form p/q where p and q are integers. (q # o)
Date posted: April 26, 2019. Answers (1)
- A map of a certain town is drawn to a scale of 1:50,000 on the map, the railway quarters cover an area of 10cm2. Find
the...(Solved)
A map of a certain town is drawn to a scale of 1:50,000 on the map, the railway quarters cover an area of 10cm2. Find
the area of the railway quarters in hectares.
Date posted: April 26, 2019. Answers (1)
- 1.5 litres of water (density 1g/cm3) is added to 5 litres of alcohol (density 0.8g/cm3). Calculate the density of the
mixture.(Solved)
1.5 litres of water (density 1g/cm3) is added to 5 litres of alcohol (density 0.8g/cm3). Calculate the density of the
mixture.
Date posted: April 26, 2019. Answers (1)
- Line L1 passes through the points A (1, -2) and B(3, -4). Find the equation of the line L2 passing through the mid-point
of AB and...(Solved)
Line L1 passes through the points A (1, -2) and B(3, -4). Find the equation of the line L2 passing through the mid-point
of AB and perpendicular to L1, leaving your answer in the form ax + by + c = 0.
Date posted: April 26, 2019. Answers (1)
- State all the integral values of a which satisfy the inequality(Solved)
State all the integral values of a which satisfy the inequality
Date posted: April 26, 2019. Answers (1)
- The curved surface area of a cylindrical container is 880cm2. Calculate to one decimal place the capacity of the container in litres given that the...(Solved)
The curved surface area of a cylindrical container is 880cm2. Calculate to one decimal place the capacity of the container in litres given that the height is 17.5cm. (Take π = 22/7).
Date posted: April 26, 2019. Answers (1)
- Solve the simultaneous equations:(Solved)
Solve the simultaneous equations:
Date posted: April 26, 2019. Answers (1)
- Find the angle the line 3y = 2x + 6 makes with the x-axis.(Solved)
Find the angle the line 3y = 2x + 6 makes with the x-axis.
Date posted: April 26, 2019. Answers (1)
- Simplify:(Solved)
Simplify:
Date posted: April 26, 2019. Answers (1)
- Solve for x in the equation:(Solved)
Solve for x in the equation:
Date posted: April 26, 2019. Answers (1)
- A man was born in 1956. His father was born in 1928 and the mother three years later. If the man’s daughter was
born in 1992...(Solved)
A man was born in 1956. His father was born in 1928 and the mother three years later. If the man’s daughter was
born in 1992 and the son 5 years earlier, find the difference between the age of the man’s mother and that of his son.
Date posted: April 26, 2019. Answers (1)
- Evaluate the expression given below(Solved)
Evaluate the expression given below
Date posted: April 26, 2019. Answers (1)
- The marked price of a car in a dealer’s shop was Ksh. 450,000/=. Nasieku bought the car at 7% discount. The dealer
still made a profit...(Solved)
The marked price of a car in a dealer’s shop was Ksh. 450,000/=. Nasieku bought the car at 7% discount. The dealer
still made a profit of 13%. Calculate the amount of money the dealer had paid for the car.
Date posted: April 26, 2019. Answers (1)
- The diagram below, not drawn to scale shows part of the curve y = x² + 5 and the line y = 8.2x. The line...(Solved)
The diagram below, not drawn to scale shows part of the curve y = x² + 5 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.
(b) Use integration to calculate the area bounded by the curve and the x-axis between the points C and D.
(c) Calculate the area enclosed by the lines CD, CA, BD and the x-axis.
(d) Hence determine the area of the shaded region.
Date posted: April 26, 2019. Answers (1)
- In the figure below O is the centre of the circle. Angle SPQ = 530 and angle PQO = 300.(Solved)
In the figure below O is the centre of the circle. Angle SPQ = 530 and angle PQO = 300.
(a) Giving reasons find the size of angles:
(i) SOQ.
(ii) PSO.
(iii) SRT.
(b) If the radius of the circle is 14cm, find the area of the quadrilateral OQPS.
Date posted: April 26, 2019. Answers (1)
- The figure above shows the structure of a building under construction.(Solved)
The figure above shows the structure of a building under construction. HA = IB = JC = ED = 12m and BC = AD = IJ =
HE 16m; and AB = DC = HI = EJ = 10m and HG = IG = FJ = FE = 7m and GF = 9m.
Calculate:
(a) the angle face GHI makes with base ABCD.
(b) vertical height of ridge GF above base ABCD.
(c) angle face GFJI makes with ABCD.
(d) M is midpoint of AB. What is the projection of MF to the base ABCD?
Date posted: April 25, 2019. Answers (1)