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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) π΄π β€ ππ΅
ii) π΄ππππ π΄ππ΅ β₯ 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)
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Two similar containers have masses 256kgs and 128kgs respectively. If the surface of the smaller container has an area of 810 cm2. What is the area of...
(Solved)
Two similar containers have masses 256kgs and 128kgs respectively. If the surface of the smaller container has
an area of 810 cm2. What is the area of the corresponding surface of the large container.
Date posted:
May 7, 2019
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Answers (1)
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Given that log of 7 = 0.8451 and log of 6 = 0.7782. Find log of 25.2
(Solved)
Given that πππ7 = 0.8451 πππ πππ6 = 0.7782. ππππ πππ25.2
Date posted:
May 7, 2019
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Answers (1)
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The equation of a line is -3/5x + 3y = 6 Find
(Solved)
The equation of a line is -3/5x + 3y = 6 Find
a) The gradient of the line
b) The equation of a line passing through the point (1,2) and is perpendicular to the given line
Date posted:
May 7, 2019
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Answers (1)
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A triangle has vertices A (1,2), B (7,2) and C (5,4)
(Solved)
A triangle has vertices A (1,2), B (7,2) and C (5,4)
a) Draw ABC on the Cartesian plane.
b) Construct the image triangle π΄1π΅1πΆ1 of triangle ABC under negative quarter turn about the origin.
c) Draw triangle π΄11π΅11πΆ11 the image of triangle π΄1π΅1πΆ1 under reflection in the line y=x. State the coordinates
of π΄11π΅11πΆ11.
d) Find a single matrix of transformation which maps triangle ABC on to triangleπ΄11π΅11πΆ11
e) Describe a single transformation that maps triangle π΄11π΅11πΆ11 on triangle ABC.
Date posted:
May 7, 2019
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Answers (1)
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The probability that three dart players Akinyi, kamau and Juma hit bullβs eye are 0.2, 0.3 and 0.15 respectively.
(Solved)
The probability that three dart players Akinyi, kamau and Juma hit bullβs eye are 0.2, 0.3 and 0.15 respectively.
a) If each plays once show the possible outcomes on a tree diagram.
b) Calculate the probability that
i)All hit the bulls eye
ii)Only one hit the bulls eye
iii)Almost one misses the bulls eye.
Date posted:
May 7, 2019
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Answers (1)
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a) Using mid-ordinate rule, estimate the area under the curve y =1/2x2 - 2. Using six strips between x=2 and x=8and x-axis.
(Solved)
a) Using mid-ordinate rule, estimate the area under the curve y =1/2x2 - 2. Using six strips between x=2 and x=8
and x-axis.
b) Using intergration to determine the exact area under the curve.
c) Find the percentage error in calculating the area using the mid-ordinate rule.
Date posted:
May 7, 2019
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Answers (1)
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The table shows income tax rates.
(Solved)
The table shows income tax rates.

A company employee earn a monthly basic salary of Ksh. 30,000 and is also given taxable allowances amounting to
Ksh. 10480.
a) Calculate the total income tax.
b) The employee is entitled to a personal tax relief of Ksh. 800 per month. Determine the net tax.
c) If the employee received a 50% increase in his total income. Calculate the corresponding percentage increase on the
income tax.
Date posted:
May 7, 2019
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Answers (1)
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A quantity y varies partly as x2 and partly as x. When y=6, x=1 and when y=30, x=3.Find y when x=3.
(Solved)
A quantity y varies partly as x2 and partly as x. When y=6, x=1 and when y=30, x=3.Find y when x=3.
Date posted:
May 7, 2019
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Answers (1)
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Solve 4 - 4 Cos2 x = 4 sin x - 1 for....
(Solved)
Solve 4 - 4 Cos2 x = 4 sin ?? - 1 for 00 <_ x <_ 3600
Date posted:
May 7, 2019
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Answers (1)