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- The position vectors of points P and Q are p =2i + 3j – k and q = 3i – 2j + 2k respectively. Find...(Solved)
The position vectors of points P and Q are p =2i + 3j – k and q = 3i – 2j + 2k respectively. Find the magnitude of PQ correct to 4 significant figures.
Date posted: May 2, 2019. Answers (1)
- a)Expand and simplify (1 – 5x)4.(Solved)
a)Expand and simplify (1 – 5x)4.
b) Use the expansion in (a) above to estimate the value of 0.94 to 4 significant figures.
Date posted: May 2, 2019. Answers (1)
- A man invests KSh. 10,000 in an account which pays 16% interests p.a compounded quarterly. Find the amount in the account after 1 ½ years.(Solved)
A man invests KSh. 10,000 in an account which pays 16% interests p.a compounded quarterly. Find the amount in the account after 1 ½ years.
Date posted: May 2, 2019. Answers (1)
- Make P the subject of the formula in:-(Solved)
Make P the subject of the formula in:-
Date posted: May 2, 2019. Answers (1)
- In the figure below DC is a tangent to the circle at point D. Given that ABC is a straight line where AB = 7cm...(Solved)
In the figure below DC is a tangent to the circle at point D. Given that ABC is a straight line where AB = 7cm and AC =
16.5cm, find the length of DC.
Date posted: May 2, 2019. Answers (1)
- By expressing tan 300 as(Solved)
By expressing tan 300 as 
simply the expression 
leaving your answer with a rationalized denominator.
Date posted: May 2, 2019. Answers (1)
- Use logarithm tables to evaluate:(Solved)
Use logarithm tables to evaluate:
Date posted: May 2, 2019. Answers (1)
- Solve 2Sin2y + 3Cos y = 3 for 00= 3600.(Solved)
Solve 2Sin2y + 3Cos y = 3 for 00≤ 3600.
Date posted: May 2, 2019. Answers (1)
- Kamau sells a packet of type A of sugar for KSh. 63 and that of type B of Sugar for KSh. 36. He mixed the...(Solved)
Kamau sells a packet of type A of sugar for KSh. 63 and that of type B of Sugar for KSh. 36. He mixed the two types of sugar in the ratio 3:2. Find the price per packet of the mixture for which he will make the same profit as before.
Date posted: May 2, 2019. Answers (1)
- A radius of a circle is given as 2.8cm to 2 significant figures. By taking ?? to be 3.142, find to 4 significant figures, the...(Solved)
A radius of a circle is given as 2.8cm to 2 significant figures. By taking 𝜋 to be 3.142, find to 4 significant figures, the limits between the area of the circle lie.
Date posted: May 2, 2019. Answers (1)
- The diagram below shows a circle ABC with AB = 12cm, BC = 15cm and AC = 14cm.(Solved)
The diagram below shows a circle ABC with AB = 12cm, BC = 15cm and AC = 14cm.
Calculate to 4 significant figures.
(a) The angle ACB
(b) The radius of the circle
(c) The area of the shaded region.
Date posted: May 2, 2019. Answers (1)
- (a) Fill in the table below for the function.
y = 2x2 + 5x – 12 for -8= x =4(Solved)
(a) Fill in the table below for the function.
y = 2x2 + 5x – 12 for -8≤ x ≤4
(b) Using the table, draw the graph of the function y = 2x2 + 5x – 12.
(c) Use the drawn above to solve the following equations.
(i) 2x2 + 5x – 12 = 0
(ii) 3 – 7x – 2x2= 0
Date posted: May 2, 2019. Answers (1)
- The diagram below shows a triangle OPQ in which QN:NP = 1:2, OT:TN = 3:2 and M is the midpoint of OQ.(Solved)
The diagram below shows a triangle OPQ in which QN:NP = 1:2, OT:TN = 3:2 and M is the midpoint of OQ.
(a) Given that OP = p and OQ = q. Express the following vectors in terms of p and q.
(i) PQ
(ii) ON
(iii) PT
(iv) PM
(b) (i) Show that points P, T and M are collinear.
(ii) Determine the ratio MT:TP
Date posted: May 2, 2019. Answers (1)
- The figure below shows a model of a pillar to be constructed at the Canterbury. The model consists of a circular base of
diameter and a...(Solved)
The figure below shows a model of a pillar to be constructed at the Canterbury. The model consists of a circular base of
diameter and a uniform pentagon stand of side 6cm and height 20cm.
(a) Calculate the cross-sectional area of the pentagon to 2 decimal places.
(b) Calculate the total volume of the model to 2 dp.
(c) If the height of the real pillar is 52m and the constructor uses two bags of cement for every 500m3 of the
construction, calculate the least number of bags of cement required.
Date posted: May 2, 2019. Answers (1)
- The figure below shows the outline of the land owned by Rera – Yala community sugarcane Farm drawn to scale.(Solved)
The figure below shows the outline of the land owned by Rera – Yala community sugarcane Farm drawn to scale.
(a) Given that AF = 600m, determine the scale used.
(b) By showing all your workings enter the details of the farm in a survey field book.
(c) Given that this land is currently valued at KSh. 250,000 per hectare, calculate its value.
Date posted: May 2, 2019. Answers (1)
- Four schools: Lihanda, Kagilo, Bar-Sauri and Ndori are such that Lihanda is 16km from Kagilo on a bearing of 1580,
Bar-Sauri is to the west of...(Solved)
Four schools: Lihanda, Kagilo, Bar-Sauri and Ndori are such that Lihanda is 16km from Kagilo on a bearing of 1580,
Bar-Sauri is to the west of Kagilo and 20km away while Ndori is to the South of Bar-Sauri on a bearing of 2400 from
Lihanda.
(a) Using a scale of 1:400,000 draw a scale diagram showing the relative positions of the four schools.
(b) Using your diagram determine the distance and bearing of Ndori from Kagilo.
(c) A mast is to be erected so that it is equidistant from Kagilo and Bar-Sauri and 20km from Ndori. On the same diagram show the position of the mast and find its distance from Lihanda.
Date posted: May 2, 2019. Answers (1)
- Find the quartile Deviation for the data below.
24,32,29,11,21,22,15,18(Solved)
Find the quartile Deviation for the data below.
24,32,29,11,21,22,15,18
Date posted: May 2, 2019. Answers (1)
- Madam Akinyi earns a basic salary of KSh. 24,000 per month. In addition she is paid a commission of 5% for sales above KSh.30,000. In...(Solved)
Madam Akinyi earns a basic salary of KSh. 24,000 per month. In addition she is paid a commission of 5% for sales above KSh.30,000. In the month of February she sold goods worth KSh. 300,000 at a discount of 6%. Calculate her total earning that month.
Date posted: May 2, 2019. Answers (1)
- Pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. Pipe C can empty the full tank in 40 minutes.
Starting...(Solved)
Pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. Pipe C can empty the full tank in 40 minutes.
Starting with an empty tank, calculate the length of time it will take to fill the tank when;
(a) All the three pipes are turned on at the same time.
(b) All the three pipes are turned on at the same time then pipe B is closed after 10 minutes.
Date posted: May 2, 2019. Answers (1)
- The curved surface area of a cylindrical container is 1980cm2. If the radius of the container is 21cm, calculate to one
decimal place the capacity of...(Solved)
The curved surface area of a cylindrical container is 1980cm2. If the radius of the container is 21cm, calculate to one
decimal place the capacity of the container in litres. (Take 𝜋 =22/7)
Date posted: May 2, 2019. Answers (1)