-
The height and radius of a cone are measured as 21cm and 14.0cm respectively. Taking pi = 3.142, find the percentage error in the volume...
(Solved)
The height and radius of a cone are measured as 21cm and 14.0cm respectively. Taking pi = 3.142, find the percentage error in the volume of the cone.
Date posted:
April 25, 2019
.
Answers (1)
-
(a) Write down the first three terms of the sequence whose nth term is 5n – 2.
(Solved)
(a) Write down the first three terms of the sequence whose nth term is 5n – 2.
(b) The 3rd term of a geometric sequence is 18 and the 6th term is 486. Find the 1st term and the common ratio.
(c) The first and the last term of an AP with 34 terms are 8 and -190 respectively.Find the sum of the first 34 terms.
(d) The 2nd, 4th and 7th term of an AP are the first 3 consecutive terms of a GP. Find the common ratio if the term is 2.
Date posted:
April 25, 2019
.
Answers (1)
-
The diagram below (not drawn to scale) shows the cross-section of a regular hexagonal solid metal prism length
20cm.
(Solved)
The diagram below (not drawn to scale) shows the cross-section of a regular hexagonal solid metal prism length
20cm.

Calculate:
(a) the area of the shaded region.
(b) the volume of the material used to make the metal in cm³.
(c) If the density of the metal prism is 3.5g/cm³. Find its mass in kg.
Date posted:
April 25, 2019
.
Answers (1)
-
Construct triangle PQR such that PQ = 7cm, QR = 6cm and RP = 5cm.
(Solved)
Construct triangle PQR such that PQ = 7cm, QR = 6cm and RP = 5cm.
(a) Construct the locus of point X which is equidistant from Q and R.
(b) Construct the locus of M which is equidistant from PR and QR.
Mark with letter M the point where this locus meets PQ. Measure QM.
(c) Construct the locus of Y such that PY = 4cm.
(d) Shade the region in which T lies given that 
Date posted:
April 25, 2019
.
Answers (1)
-
a) The numerator of the fraction p/q is increased in the ratio 3:2 while the denominator is decreased in the ratio 2: 3.If the...
(Solved)
a) The numerator of the fraction p/q is increased in the ratio 3:2 while the denominator is decreased in the ratio 2: 3.If the resulting fraction is 27/28, find.
(i) the fraction p/q in its simplest form.
(ii) the percentage change in the fraction.
(b) A piece of work can be done by 30 men in 12 days. They work for 4 days after which 6 of the men leave. How long will
it take the remaining men to complete the job if they work at the same rate?.
(c) Given that the cost of maize is Sh.30 per kg and that of beans is Sh.50 per kg, find the cost of 1kg of a mixture of maize
and beans if they are in the ratio of 3: 2 respectively.
Date posted:
April 25, 2019
.
Answers (1)
-
A matatu left town K at 7.00am and travelled towards town M at an average speed of 60km/hr. A car left town M at 9.00am...
(Solved)
A matatu left town K at 7.00am and travelled towards town M at an average speed of 60km/hr. A car left town M at 9.00am and travelled towards K at an average speed of 80km/hr. The distance between the two towns is 324km.Find.
(a) the time each vehicle arrived at their destination.
(i) Matatu.
(ii) Car.
(b) (i) The distance the matatu covered before the car started to move from town M to town K.
(ii) The time the two vehicles met on the way.
(c) How far the car was from town K when they met?
Date posted:
April 25, 2019
.
Answers (1)
-
From the roof of a house, a boy can see an avocado tree which is 20m away from the house. He measures the angle of...
(Solved)
From the roof of a house, a boy can see an avocado tree which is 20m away from the house. He measures the angle of elevation of the top of the tree as 210 and the angle of depression of the bottom of tree as 310. Find the height of the avocado tree.
Date posted:
April 25, 2019
.
Answers (1)
-
A particle moves in a straight line from a fixed point. Its velocity Vms¯¹ after t seconds is given by V = 9t² - 4t...
(Solved)
A particle moves in a straight line from a fixed point. Its velocity Vmsˉ¹ after t seconds is given by V = 9t² - 4t + 1.
Calculate the distance travelled by the particle during the third second.
Date posted:
April 25, 2019
.
Answers (1)
-
In triangle ABC below, angle ABC = 900, angle ACB = 600, angle ADE = 900, AB = 4cm and BC = BE.
(Solved)
In triangle ABC below, angle ABC = 900, angle ACB = 600, angle ADE = 900, AB = 4cm and BC = BE.

Calculate:
(a) BC.
(b) CE.
(c) DC.
Date posted:
April 25, 2019
.
Answers (1)
-
A map has a scale of 1:25000 on this map; a square piece of land is represented by an area of 2cm². Calculate the
actual area,...
(Solved)
A map has a scale of 1:25000 on this map; a square piece of land is represented by an area of 2cm². Calculate the
actual area, in hectares of the plot.
Date posted:
April 25, 2019
.
Answers (1)
-
Find the equation of a perpendicular bisector of line PQ, in the form y = mx + C. If the coordinates of P and Q...
(Solved)
Find the equation of a perpendicular bisector of line PQ, in the form y = mx + C. If the coordinates of P and Q are
(-2, 6) and (4, -2) respectively.
Date posted:
April 25, 2019
.
Answers (1)
-
Point B is 30m away from point A at a bearing of 1500. Point C is 25m from A at a bearing of 1200. Find...
(Solved)
Point B is 30m away from point A at a bearing of 1500. Point C is 25m from A at a bearing of 1200. Find how far C is from B.
Date posted:
April 25, 2019
.
Answers (1)
-
A point P has the coordinates (1, 2, 3).
(Solved)
A point P has the coordinates (1, 2, 3).
(a) the coordinates of point Q.
(b) the modulus of vector PQ.
Date posted:
April 25, 2019
.
Answers (1)
-
Reduce the following expression into a single fraction
(Solved)
Reduce the following expression into a single fraction.

Date posted:
April 25, 2019
.
Answers (1)
-
Evaluate without using Mathematical tables or the calculator.
(Solved)
Evaluate without using Mathematical tables or the calculator.

Date posted:
April 25, 2019
.
Answers (1)
-
The cost C, of producing n items varies partly as n and partly as the inverse of n.
To produce two items it cost 50Sh and...
(Solved)
The cost C, of producing n items varies partly as n and partly as the inverse of n.
To produce two items it cost 50Sh and to produce six items it costs 70Sh.
Find;
(a) the constants of proportionality and hence write the equation connecting C and n.
(b) the cost of producing 12 items.
(c) the number of items produced at a cost of 106Sh.
Date posted:
April 25, 2019
.
Answers (1)
-
The diagram below shows a histogram marks obtained in a certain test.
(Solved)
The diagram below shows a histogram marks obtained in a certain test.

(a) Develop a frequency distribution table for the data if the first class 5-9 has a frequency of 8.
(b) Estimate the mean.
(c) Calculate interquatile range.
Date posted:
April 25, 2019
.
Answers (1)
-
The diagram below shows a right pyramid VPQRS with V as the vertex and a rectangular base PQRS. PQ = 3cm, QR =4cm. The height...
(Solved)
The diagram below shows a right pyramid VPQRS with V as the vertex and a rectangular base PQRS. PQ = 3cm, QR =4cm. The height of the pyramid is 6cm.PM = MQ and OQ = NR.

(a) Calculate.
(i) the length PV.
(ii) the angle between face VPQ and the base.
(b) (i) the slant height VM and VN.
(ii) What is the surface area of the pyramid?
Date posted:
April 25, 2019
.
Answers (1)
-
In the figure below AOC is a diameter of the circle centre O. AB = BC and Angle ACD = 350, EBF is a tangent...
(Solved)
In the figure below AOC is a diameter of the circle centre O. AB = BC and Angle ACD = 350, EBF is a tangent to the circle at B. G is a point on minor arc CD.

Calculate the size of the following angles giving reasons in each case.
(a) Angle BCD.
(b) Obtuse angle BOD.
(c) Angle BAD.
(d) Angle CGD.
(e) Angle AEB.
Date posted:
April 25, 2019
.
Answers (1)
-
Two towns A and B lie on the same parallel of latitudes 600N. If the longitudes of A and B are 420W and 290E respectively.
(Solved)
Two towns A and B lie on the same parallel of latitudes 600N. If the longitudes of A and B are 420W and 290E respectively.
(a) Find the distance between A and B in nautical miles along the parallel of latitude.
(b) Find the local time at A if at B is 1.00pm.
(c) Find the distance between A and B in km.
(d) If C is another town due South of A and 10010km away from A, Find the co-ordinate of C.
Date posted:
April 25, 2019
.
Answers (1)