- a) Expand (a + b)5 (Solved)
a) Expand (a + b)5
b) Use the first three terms of the expansion in (a) to find the value of (1.97)5 to two decimal places.
Date posted: May 7, 2019. Answers (1)
- In the figure below ABT is straight line with AB=5cm and BT=4cm. O is the centre of the circle with radius 8 cm and
PT is...(Solved)
In the figure below ABT is straight line with AB=5cm and BT=4cm. O is the centre of the circle with radius 8 cm and
PT is a tangent to the circle at P.
a) Calculate the length of PT.
b) Calculate the area of the shaded region correct to two significant figures (Take pi = 3.142)
Date posted: May 7, 2019. Answers (1)
- Without using mathematical tables or a calculator evaluate.(Solved)
Without using mathematical tables or a calculator evaluate.
Date posted: May 7, 2019. Answers (1)
- There are two boxes A and B on the floor. Box A contains 3 red marbles and 5 white marbles while Box B contains 6
red...(Solved)
There are two boxes A and B on the floor. Box A contains 3 red marbles and 5 white marbles while Box B contains 6
red marbles and 2 white marbles. A box is chosen at random and two marbles are drawn from it one after the other
without replacement. Find the probability that the two marbles are of different colours.
Date posted: May 7, 2019. Answers (1)
- Kamau saved 2000 during the first month of employment. In each subsequent month he saved 15% more than the
preceding month. How many years did he...(Solved)
Kamau saved 2000 during the first month of employment. In each subsequent month he saved 15% more than the
preceding month. How many years did he take to save a sum of Kshs 2.028,692
Date posted: May 7, 2019. Answers (1)
- 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. Answers (1)
- A shopkeeper bought x kg of locally made sugar at Kshs 85 per kilogram and 120kg of imported sugar at ksh 102 per
kilogram. He mixed...(Solved)
A shopkeeper bought x kg of locally made sugar at Kshs 85 per kilogram and 120kg of imported sugar at ksh 102 per
kilogram. He mixed the two types of sugar and sold the mixture at Ksh 119 per kilogram making a profit of 25%. Find
the number of kilograms (x) of locally made sugar.
Date posted: May 7, 2019. Answers (1)
- Make n the subject of the formula given that(Solved)
Make n the subject of the formula given that
Date posted: May 7, 2019. Answers (1)
- Two variable V and R are such that V partly varies as R and partly varies as the square root of R. When R=9, V=144
and...(Solved)
Two variable V and R are such that V partly varies as R and partly varies as the square root of R. When R=9, V=144
and when R=16, V=272
a) Find the law connecting V and R
b) Hence find the value of V when R=56.25.
Date posted: May 7, 2019. Answers (1)
- Without using mathematical tables or a calculator, evaluate.(Solved)
Without using mathematical tables or a calculator, evaluate.
Date posted: May 7, 2019. Answers (1)
- a) Determine the x-intercept of the curve y = x3 - 9x(Solved)
a) Determine the x-intercept of the curve y = x3 - 9x
b) Use the trapezium rule with 6 strips to find areas bounded by the curve and the x-axis.
c) By using integration, find the exact area bounded by the curve and the x- axis.
d) Calculate the percentage error in using trapezium rule to obtain the area.
Date posted: May 7, 2019. Answers (1)
- A ship leaves port P and sails to port Q to Ron a bearing of 1600 and is 150km from Q. From R, the ship
returns...(Solved)
A ship leaves port P and sails to port Q to Ron a bearing of 1600 and is 150km from Q. From R, the ship
returns directly to P at a speed of 25km/hr.
a) Using a suitable scale, show the relative positions of P,Q and R.
b) i) Find the bearing of R from P
ii) Find the distance travelled from R and the time taken to arrive at the destination.
c) As island S is equidistant from P,Q and R. Show its relative position.
Date posted: May 7, 2019. Answers (1)
- a) Give the inequalities that define the unshaded region.(Solved)
a) Give the inequalities that define the unshaded region.
b) Find the exact area of the region.
Date posted: May 7, 2019. Answers (1)
- Two countries X and Y are 600km apart. A bus left country Y at 9.00am and an everage speed of 100km/hr. A
matatu started from country...(Solved)
Two countries X and Y are 600km apart. A bus left country Y at 9.00am and an everage speed of 100km/hr. A
matatu started from country X at 10.30am for country Y and travelled at an everage speed of 150km/hr. Find
a) How far country Y the Bus and the matatu met.
b) The time the bus and the matatu met.
c) The time at which the matatu arrived at Y
d) If the matatu started from Y at 10.30am, how far from X would be their overtaking point.
Date posted: May 7, 2019. Answers (1)
- The figure below is a triangle OAB, where (Solved)
The figure below is a triangle OAB, where ⃗𝑂⃗⃗⃗𝐴⃗ =a and ⃗𝑂⃗⃗⃗𝐵⃗ =b. A point R divides AB in the ratio 1:3 ⃗𝑂⃗⃗⃗𝑅⃗ and ⃗𝐴⃗⃗⃗𝑇⃗
intersect at D.
a) Find in terms of a and b
i) BT
ii) OR
iii) AT
b) If OD=hOR and AD=kAT, express OD in two ways hence determine the values of h and k.
Date posted: May 7, 2019. Answers (1)
- 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. Answers (1)
- Christians who attended a church service on Sunday were grouped by age as shown in the table below.(Solved)
Christians who attended a church service on Sunday were grouped by age as shown in the table below.
Estimate the mean age
Date posted: May 7, 2019. Answers (1)
- Use logarithms tables to evaluate(Solved)
Use logarithms tables to evaluate
Date posted: May 7, 2019. Answers (1)
- Solve for x; if 9x x 27x - 1 = 1(Solved)
Solve for x; if 9x x 27x - 1 = 1
Date posted: May 7, 2019. Answers (1)
- Simplify the following expression completely.(Solved)
Simplify the following expression completely.
Date posted: May 7, 2019. Answers (1)