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Find the area of a segment of a circle whose arc subtends an angle of 22.50 on the circumference of a circle, radius
10cm.
(Solved)
Find the area of a segment of a circle whose arc subtends an angle of 22.50 on the circumference of a circle, radius
10cm.
Date posted:
May 8, 2019
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Answers (1)
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In a regular polygon, the exterior angle is 1/3 of its supplement. Find the number of sides of this polygon.
(Solved)
In a regular polygon, the exterior angle is 1/3 of its supplement. Find the number of sides of this polygon.
Date posted:
May 8, 2019
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Answers (1)
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A salesman earns 3% commission for selling a chair and 4% commission for selling a table. A chair fetches K£ 75. One
time, he sold ten...
(Solved)
A salesman earns 3% commission for selling a chair and 4% commission for selling a table. A chair fetches K£ 75. One
time, he sold ten more chairs than tables and earned seven thousand, two hundred Kenya shillings as commission.
Find the number of tables and chairs sold.
Date posted:
May 8, 2019
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Answers (1)
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A square based brass plate is 2mm high and has a mass of 1.05kg. The density of the brass is 8.4 g/cm3. Calculate the
length of...
(Solved)
A square based brass plate is 2mm high and has a mass of 1.05kg. The density of the brass is 8.4 g/cm3. Calculate the
length of the plate in centimeter.
Date posted:
May 8, 2019
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Answers (1)
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A type of paper is 40cm long, 32 cm wide and 0.8 mm thick. The paper costs sh 10 per m2. Find the total cost...
(Solved)
A type of paper is 40cm long, 32 cm wide and 0.8 mm thick. The paper costs sh 10 per m2. Find the total cost of a pile
of such paper of height 4.8m.
Date posted:
May 8, 2019
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Answers (1)
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Mr. Kamau son and daughter needed clothes. The son clothes were costing Ksh 324 while the daughter clothes were costing Ksh 220. Mr Kamau wanted...
(Solved)
Mr. Kamau son and daughter needed clothes. The son clothes were costing Ksh 324 while the daughter clothes were costing Ksh 220. Mr Kamau wanted to give them equal amounts of money. Calculate the least amount of money he would spend on the two and how many clothes each will buy.
Date posted:
May 8, 2019
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Answers (1)
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The velocity, Vm/s of a moving particle after t seconds is given by V = 2t3 + t3 – 1. Find the exact distance covered...
(Solved)
The velocity, Vm/s of a moving particle after t seconds is given by V = 2t3 + t3 – 1. Find the exact distance covered by the particle in the interval 1 ≤ t ≤ 3.
Date posted:
May 8, 2019
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Answers (1)
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The gradient function of a curve is given by dy/dx= 2x2 – 5 Find the equation of the curve, given that y = 3 and...
(Solved)
The gradient function of a curve is given by dy/dx= 2x2 – 5
Find the equation of the curve, given that y = 3 and x = 2
Date posted:
May 8, 2019
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Answers (1)
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Town A and B are 24km apart. Susan leaves town A at 10.00 a.m and cycles to town B at a steady speed if 12km/h....
(Solved)
Town A and B are 24km apart. Susan leaves town A at 10.00 a.m and cycles to town B at a steady speed if 12km/h. She
rests for exactly one hour and then runs back to town A at 8km/h. Jane leaves town B at 11.45 a.m and rides straight to
town A, where reaches 5 minutes after Susan.
(a) At what time did Susan leave town B.
(b) At what time did Jane reach town A.
(c) How fast did Jane ride?.
(d) At what time did Susan overtake Jane?
Date posted:
May 8, 2019
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Answers (1)
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In triangle OAB, OA = a, OB = b and P lies on AB such that AP:PB = 3 : 5.
(Solved)
In triangle OAB, OA = a, OB = b and P lies on AB such that AP:PB = 3 : 5.
(a) In terms of a and b the vectors.
(i) AB
(ii) AP
(iii) BP
(iv) OP
Date posted:
May 8, 2019
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Answers (1)
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The following are masses of 25 people taken in a clinic.
(Solved)
The following are masses of 25 people taken in a clinic.
(a) Using a class width of 8 and starting with the lowest mass of the people. Make a frequency distribution table for the data.
(b) Calculate the median mass of the people.
(c) On the grid provided, draw a histogram to represent the information.
Date posted:
May 8, 2019
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Answers (1)
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The figure below a frustum of a solid cone of base radius 48cm and top radius 16cm. The height of the frustum is
21cm. (Take ??...
(Solved)
The figure below a frustum of a solid cone of base radius 48cm and top radius 16cm. The height of the frustum is
21cm. (Take 𝜋 =22/7) calculate:
(a) The height of the solid cone.
(b) The volume of the solid frustum.
(c) The total surface area of the frustum.
Date posted:
May 8, 2019
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Answers (1)
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A regular polygon with 3x sides has interior angle 400 greater than the one with x sides. What is x?
(Solved)
A regular polygon with 3x sides has interior angle 400 greater than the one with x sides. What is x?
Date posted:
May 7, 2019
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Answers (1)
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The image of P(0,2) under an enlargement with the factor 3 is P1(4,6). Find the centre of enlargement.
(Solved)
The image of P(0,2) under an enlargement with the factor 3 is P1(4,6). Find the centre of enlargement.
Date posted:
May 7, 2019
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Answers (1)
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Using a ruler and a pair of compasses only, construct a trapezium ABCD with AB parallel to DC. AB = 10cm, BC = 5cm,
CD =...
(Solved)
Using a ruler and a pair of compasses only, construct a trapezium ABCD with AB parallel to DC. AB = 10cm, BC = 5cm,
CD = 4cm and angle ABC = 450. Drop a perpendicular from C to meet AB to O. Measure AD and the altitude of the
trapezium.
Date posted:
May 7, 2019
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Answers (1)
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a) Using a ruler and pair of compasses only construct a square ABCD of sides 6cm.
(Solved)
a) Using a ruler and pair of compasses only construct a square ABCD of sides 6cm.
b) A point P moves inside the square such that;
i) 𝐴𝑃 ≤ 𝑃𝐵
ii) 𝐴𝑛𝑔𝑙𝑒 𝐴𝑃𝐵 ≥ 900
iii) P is nearer to AD than AB. construction on the square in (a) show the region that P must lie by shading.
c) Find the area of the region where P must lie.
Date posted:
May 7, 2019
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Answers (1)
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Mr. Korir borrowed Kshs 3,600,000 from the bank to buy a residential house. He was required to repay the loan with a
simple interest for a...
(Solved)
Mr. Korir borrowed Kshs 3,600,000 from the bank to buy a residential house. He was required to repay the loan with a
simple interest for a period of four years. The repayment amounted to kshs 111 000 per month. Calculate
a) i) the interest paid to the bank.
ii) the rate per annum of the simple interest.
b) The value of the house appreciated at the rate of 15% per annum. Calculate the value of the house after 4 years to the nearest hundreds.
c) After n years, the value of the house was Kshs 8,327,019. Find the value of n.
Date posted:
May 7, 2019
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Answers (1)
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In the figure below AB and Bc are chords of a circle centre O. AB=6cm, BC=16cm and OC=10cm
(Solved)
In the figure below AB and Bc are chords of a circle centre O. AB=6cm, BC=16cm and OC=10cm
Calculate angle ABC correct to three significant figures.
Date posted:
May 7, 2019
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Answers (1)
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The intersecting circles centres S and R have radii 28 and 35 respectively. A common chord AB=38cm.
(Solved)
The intersecting circles centres S and R have radii 28 and 35 respectively. A common chord AB=38cm.
a) Calculate
i) Angle ASB
ii) Angle ARB
b) Calculate the area of the shaded region.
Date posted:
May 7, 2019
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Answers (1)
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Three litres of water (density 1gm/cm3) is added to twelve litres of methanol. (Density 0.8g/cm3). What is the density of the mixture?
(Solved)
Three litres of water (density 1gm/cm3) is added to twelve litres of methanol. (Density 0.8g/cm3). What is the density of the mixture?
Date posted:
May 7, 2019
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Answers (1)