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- 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)
- (a) P, Q and R are three quantities such that P varies directly as the square of Q and inversely as the square root of...(Solved)
(a) P, Q and R are three quantities such that P varies directly as the square of Q and inversely as the square root of R.
(i) Given that P = 12 when Q = 24 and R = 36, find P when Q = 27 and R = 121.
(ii) If Q increases by 10% and R decreases by 25%, find the percentage increase in P.
(b) If Q is inversely proportional to the square root of P and P = 4 when Q = 3.
Calculate the value of P when Q = 8.
Date posted: April 25, 2019. Answers (1)
- complete the table below for the functions;(Solved)
Date posted: April 25, 2019. Answers (1)