-
A positive two digit number is such that the product of the digits is 24. When the digits are reversed, the number formed is greater than original number by 18. Find the number.
Date posted:
August 13, 2019
-
The surface area of two cylindrical water tanks are 50m2 and 162m2 respectively. Given that the volume of water in the second tank is 36450m3, find the volume of water in the first tank if it’s half full.
Date posted:
August 13, 2019
-
A line passing through points P (4, a) and Q (3, 2) is perpendicular to the line 3y + x + 3 = 0. Find the value of a and write down equation of line PQ.
Date posted:
August 13, 2019
-
A matatu left town A at 7.00 a.m and travelled towards a town B at an average speed of 60km/h.
A second matatu left town B at 8.00 a.m and travelled towards town A at an average 60 km/h. If the distance between the two towns is 400 km, find:
a) The time at which the two matatus met.
b) The distance of the meeting point from town A.
Date posted:
August 13, 2019
-
The figure below shows a circle centre O. PQRS is a cyclic quadrilateral and QOS is a straight line.
Giving reasons for your answers, find the value of:
a)
Date posted:
August 13, 2019
-
A motorist is to follow the route ABCD. B is 250 km from A on a bearing of N750E from A. C is on a bearing of S750E from A and 275 km from B. D is 300 m on a bearing of S800E from B. Using a scale of 1 cm to represent 50 km;
a) Show the relative position of ABCD.
b) Determine:
i) The distance of A from C
ii) The bearing of B from C
iii) The distance of A from D
iv) The compass bearing of C from D
Date posted:
August 13, 2019
-
The figure below shows the net of a regular rectangular based pyramid. The rectangle measures 18 cm by 15 cm. N and K are mid-points of AD and BC respectively. AB=18 cm and BC= 15 cm while VK=16 cm. V is the vertex and O is the centre of the rectangle ABCD.
a).Sketch the pyramid and label all the vertices
b) From the diagram in (a) above, calculate to 2 decimal places.
i) Length CV
ii) Length VO
iii) The angle between the plane VCB and the base ABCD.
iv) The angle between the plane BVC and AVD
Date posted:
August 13, 2019
-
a) Use the trapezium rule with 5 strips to estimate the area enclosed by the curve, the x-axis and the lines x=-2 and x=3 of the curve y=x2+x+9.
b) Find the exact area bounded by the curve, the x-axis and the line x=-2 and x=3.
c) Find the percentage error in your workings.
Date posted:
August 13, 2019
-
A self help group of 10 young men invested Shs 72,000 in two companies A and B. A pays a dividend of 22.5% while B pays a dividend of 21%. If from their total investment they obtained a return of 21.5%, how much money did they invest in each company?
Date posted:
August 13, 2019
-
A triangle PQR has a height of x cm and a base of(x+3) cm. if its area is 5 cm2, calculate the height of its base.
Date posted:
August 13, 2019
-
Solve the following simultaneous equations using matrix Method.
4a+3b=120
2a+5b=130
Date posted:
August 13, 2019
-
The total marks scored in a test by 6 pupils was 420. If the mean mark for the first 5 pupils was 68, find the marks scored by the sixth pupil.
Date posted:
August 13, 2019
-
The perimeter of a triangular field is 120 M. Two of the sides are 21m and 40m. calculate the largest angle of the field hence find the area of the field.
Date posted:
August 13, 2019
-
Given that point A(2,4) and B(8, -4) , find the equation of the perpendicular bisector of line AB.
Date posted:
August 13, 2019
-
In the figure below, 0 is the centre of the circle. PQ and PR are tangents to the circle at P and R respectively Angle PQS = 400 and angle PRS 30° RTU is a straight line.
Find with reasons the angles
i) QRS
ii) RTQ
iii) RPQ
iv) Reflex angle QOR
v) TRO given that TR =TQ
Date posted:
August 13, 2019
-
The vertices of triangle PQR are P(O,O), Q(6 0) and R(2,4)
a) Plot these points on the grid provided.
b) Triangle P1Q1R1 is the image of a triangle PQR under an enlargement scale factor ½ and centre (2,2). Write down the coordinates of triangle P1Q1R1 and plot on the
same grid.
c) Draw triangle P11Q11R11 the image of triangle P1Q1R1 under a positive quarter turn about the point (1,1)
d) Draw a triangle P111Q111R111 the image of triangle P11Q11R11 under reflection in the line y = l.
e).Describe fully a single transformation which maps triangle P11Q11R11 onto triangle P1Q1R1.
Date posted:
August 13, 2019
-
Find the co-ordinates of the point Q which divides the line PR in ratio 3 :2 given the co – ordinates of P and R are ( 3,-1) and ( 4,3) respectively.
Date posted:
August 13, 2019
-
The positions vectors of point A and B are a and b respectively. C is another point with Positions vector c = 3/2 b – ½ a.
Express in terms of a and b
i) Vector AC,AB. Hence show that A,B and C are collinear
ii) Determine the ratio A B:BC
Date posted:
August 13, 2019
-
If P,Q and R are the points (2,-4), (4,0) and (1,6) respectively. Use the vector method to find the co-ordinates of points S given that PQRS is a Parallelogram
Date posted:
August 13, 2019
-
The position vector S of points A and B are a and b respectively. Determine the modulus of AB if a = 2i + 4j + 3k and b= 2i+3j
Date posted:
August 13, 2019
-
From a mathematical experiment it was found out that
Deduce the value of tan 54° from this result leaving your answer in the form 
where a, b and c are integers.
Date posted:
August 13, 2019
-
Find the distance in nautical miles between two places on the northern hemisphere with positions N (60°N, 18°E) and M (60°N, 102°W) along the parallel of latitude.
Date posted:
August 13, 2019
-
Graham’s money-box contains only sh. 5 coins and sh. 10 coins. There are 24 coins and their total value is sh. 150. Find how many of each kind of coins there are in the box.
Date posted:
August 13, 2019
-
A father was three time as old as his son fifteen years ago and four times as old as his son nineteen years ago. When was the father twice as old as the Son?
Date posted:
August 13, 2019
-
A two digit number is such that the difference between the ones digit and the tens digit is 2. If the two digits are interchanged, the sum of the new and the original number is 132. Find the original number.
Date posted:
August 13, 2019
-
In the figure below, AC is an arc of a circle centre B, angle ABD = 600, AB =BC=7cm and CD=5cm. If AE is parallel to BD and AB is parallel to ED. Calculate the area of the shaded region.
Date posted:
August 13, 2019
-
A right angled isosceles triangle has area of 4 square units. Find the perimeter of the triangle leaving your answer in surd form.
Date posted:
August 13, 2019
-
A cylindrical iron pipe is 2.1 m long and 12cm in external diameter, the metal is 1cm thick and its density is 7.8 g/cm3. Taking pie as 22/7 find its mass.
Date posted:
August 13, 2019
-
The gradient of the of the curve y = ax2 +bx at the origin is equal to 8. Find the value of a and b if the curve has a maximum turning point at x = 4
Date posted:
August 13, 2019
-
A circular path of width 14 metres surrounds a field of diameter 70 metres. The path is to be
carpeted and the field to have a concrete slab with an exception of four rectangular holes each
measuring 4 metres by 3 metres. A contractor estimated the cost of carpeting the path at sh. 300
per square metre and the cost of putting the concrete slab at sh. 400 per square metre. He then
made a quotation which was 15% more than the total estimate. After completing the job, he
realizes that 20% of the quotation was not spent.
(a) How much money was not spent?
(b) Find the actual cost of the contract
Date posted:
August 13, 2019