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- Using matrices solve the following pair of simultaneous equations
6y - 2x + 20 = 0
3x - 7y - 26 = 0(Solved)
Using matrices solve the following pair of simultaneous equations
6y − 2x + 20 = 0
3x − 7y − 26 = 0
Date posted: November 20, 2019.
- Two taps, A and B, when opened at the same time can fill a tank in 3 hours 36 minutes. Tap A working alone takes...(Solved)
Two taps, A and B, when opened at the same time can fill a tank in 3 hours 36 minutes. Tap A working alone takes 3 hours longer than Tap B to fill the tank. How many hours does it take Tap A alone to fill the tank?
Date posted: November 20, 2019.
- State three social causes of conflict in Kenya.(Solved)
State three social causes of conflict in Kenya.
Date posted: November 20, 2019.
- Point M is the midpoint of a straight line XY. If the position vectors of Y and M are 3i + 4j - 2k and...(Solved)
Point M is the midpoint of a straight line XY. If the position vectors of Y and M are 3i + 4j − 2k and 3j − 0.5k respectively. Find the position vector of X, hence the magnitude of XY.
Date posted: November 20, 2019.
- Describe six features of the philosophy of African Socialism.(Solved)
Describe six features of the philosophy of African Socialism.
Date posted: November 20, 2019.
- Without using mathematical tables or calculators, simplify(Solved)
Without using mathematical tables or calculators, simplify
Date posted: November 20, 2019.
- Expand (1 + p)5 in ascending powers of ??. Hence use the expansion to estimate 1.045 giving your answer correct to 4 decimal places.(Solved)
Expand (1 + p)5 in ascending powers of 𝑝. Hence use the expansion to estimate 1.045 giving your answer correct to 4 decimal places.
Date posted: November 20, 2019.
- Given that A = make ?? the subject of the formula.(Solved)
Given that A = make 𝑐 the subject of the formula.
Date posted: November 20, 2019.
- Give two natural calamities that influenced the migration of the Eastern Cushites into Kenya.(Solved)
Give two natural calamities that influenced the migration of the Eastern Cushites into Kenya.
Date posted: November 20, 2019.
- (i) Students from Nairobi visited Mt. Kenya forest. State two reasons why they needed a route map.
(ii) Explain two ways of how the students’ findings...(Solved)
(i) Students from Nairobi visited Mt. Kenya forest. State two reasons why they needed a route map.
(ii) Explain two ways of how the students’ findings would assist the local people of
the area.
Date posted: November 19, 2019.
- Explain three ways of how forests regulate local climate.(Solved)
Explain three ways of how forests regulate local climate.
Date posted: November 19, 2019.
- Explain four problems the Kenya Government is facing in conserving wildlife.(Solved)
Explain four problems the Kenya Government is facing in conserving wildlife.
Date posted: November 19, 2019.
- Compare coffee farming in Kenya and Brazil under the following sub-heading:
(i) Growing area.
(ii) labour(Solved)
Compare coffee farming in Kenya and Brazil under the following sub-heading:
(i) Growing area.
(ii) labour
Date posted: November 19, 2019.
- Study the graph below showing Kenya’s leading export crops by value from 1997 to 2001 and answer the questions that follow.(Solved)
Study the graph below showing Kenya’s leading export crops by value from 1997 to 2001 and answer the questions that follow.
a. i) Name the technique represented in the above graph.
ii) State two disadvantages of the above technique.
b. i) Which crop, had the highest change in value between 1997 and 2001.
ii) Calculate the percent change in b.(i).
Date posted: November 19, 2019.
- Each side of a regular heptagon measures 11.2cm. What is the percentage error in calculating the heptagon’s perimeter?(Solved)
Each side of a regular heptagon measures 11.2cm. What is the percentage error in calculating the heptagon’s perimeter?
Date posted: November 19, 2019.
- Using completing the square method, solve
10x2 - 11x - 6 = 0(Solved)
Using completing the square method, solve
10x2 − 11x − 6 = 0
Date posted: November 19, 2019.
- The figure shows a water tank which consists of a hemispherical part surmounted on top of a cylindrical part. The two parts have the same...(Solved)
The figure shows a water tank which consists of a hemispherical part surmounted on top of a cylindrical part. The two parts have the same diameter of 2.1 M and the cylindrical part is 1.5 m high as shown. All surfaces of the tank are made of iron sheets. (Take π = 22/7)
(a) Allowing for 15% wastage in overlapping, calculate to 2d.p the area of iron sheets required.
(b) Ironsheet costs sh.400 per square meter while labour and other. Materials amountsto 50% of the cost of ironsheets. Find the cost of constructing the tank.
(c) Calculate the (i) volume of the tank in m3
(ii) capacity of the tank in litres.
Date posted: November 19, 2019.
- Lines L1 is given by equation y = -2x +4 and L2 is 3x- y=1 intersect at T.
(a) Determine the co-ordinates of T.
(b) Another...(Solved)
Lines L1 is given by equation y = -2x +4 and L2 is 3x- y=1 intersect at T.
(a) Determine the co-ordinates of T.
(b) Another line, L3 is perpendicular to line L2 and passes through point N(5,8).Determine its equation and leave the answer in the form of ax + by=c where a, b, and c are integers.
(c) Determine the equation of a perpendicular bisector of a line segment passing through points T and N.
Date posted: November 19, 2019.
- Three towns PQR are such that Q is 20km in the bearing of 045° from P while R is 27.5 km in the bearing of...(Solved)
Three towns PQR are such that Q is 20km in the bearing of 045° from P while R is 27.5 km in the bearing of S20°E from Q.Using the scale of 1cm rep 5km.
(a) Determine the actual distance between P and R.
(b) State the true bearing of P from R.
(c) Show a point x which is equidistant from the three towns.
(d) Determine the actual distance from x to town R.
Date posted: November 19, 2019.
- On a certain map, an estate is represented by an area of 48cm2. If the actual area of the estate is 1200Ha, find the scale...(Solved)
On a certain map, an estate is represented by an area of 48cm2. If the actual area of the estate is 1200Ha, find the scale of the map in the form 1: n.
Date posted: November 19, 2019.
- The following data was obtained from a Form IV examination results.
Complete the table above(Solved)
The following data was obtained from a Form IV examination results.
Complete the table above
Date posted: November 19, 2019.
- A Kenyan family intended to spent a holiday in France where Ksh 90,000 was exchanged into Francs.
Currency conversation rate is as follows
KES ...(Solved)
A Kenyan family intended to spent a holiday in France where Ksh 90,000 was exchanged into Francs.
Currency conversation rate is as follows
KES Buying (Francs) Selling (Francs)
Ksh 100 53.50 55.75
The family spent 37, 0000 Franc and changed the rest into Kenya shillings. How much did the holiday cost?
Date posted: November 19, 2019.
- Students from Pangani Girls High School went for a study of soils of mass movement around their school.(Solved)
Students from Pangani Girls High School went for a study of soils of mass movement around their school.
i) What is the importance of working with information from publications?
ii) State two characteristics of soils that have been leached.
iii) State three reasons why the students should seek permission from relevant authorities.
Date posted: November 19, 2019.
- Explain the importance of soil organisms in soil development.(Solved)
Explain the importance of soil organisms in soil development.
Date posted: November 19, 2019.
- Using tables of reciprocals evaluate(Solved)
Using tables of reciprocals evaluate
Date posted: November 19, 2019.
- Given that tan (90-x) = 3/4 without using calculators or tables,
Find: (i) Sin x
(ii) Cos (90 – x)(Solved)
Given that tan (90-x) = 3/4 without using calculators or tables,
Find: (i) Sin x
(ii) Cos (90 – x)
Date posted: November 19, 2019.
- A variable y varies partly as x and partly inversely as x. Given that y=17 when x=4 and y=13 when x=6, Determine;
(a) the law connecting...(Solved)
A variable y varies partly as x and partly inversely as x. Given that y=17 when x=4 and y=13 when x=6, Determine;
(a) the law connecting y and x.
(b) the value of y when x=10
Date posted: November 19, 2019.
- The diagram below shows a region R bounded by 3 lines L1, L2 and L3
Determine the 3 inequalities satisfied by the region marked R.(Solved)
The diagram below shows a region R bounded by 3 lines L1, L2 and L3
Determine the 3 inequalities satisfied by the region marked R.
Date posted: November 19, 2019.
- State three characteristics of chernozem soils.(Solved)
State three characteristics of chernozem soils.
Date posted: November 19, 2019.
- James left sh 430,500 to be shared by his wife, daughter and son in the ratio of 2:1:3 respectively. His wife decided to divide her...(Solved)
James left sh 430,500 to be shared by his wife, daughter and son in the ratio of 2:1:3 respectively. His wife decided to divide her share equally between her daughter and son. Find how much the daughter finally got.
Date posted: November 19, 2019.