Study resources on Kenyaplex

Get ready-made curriculum aligned revision materials

Exam papers, notes, holiday assignments and topical questions – all aligned to the Kenyan curriculum.

Browse exam papers

Or go directly to:

Class notes Holiday assignments Topical questions Other resources

Factorise xy – zy – xw + zw hence simplify the expression completely.

Answers

Wilfykil answered the question on September 10, 2019 at 05:46

Answer Attachments

Next: State two factors that affect the efficiency of a pulley system.

Previous: Explain the difference in meaning between the following pairs of sentences.

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

A tourist visited Kenya with 2500 U.S dollars and changed the U.S dollars into Kenya Shillings at a local bank in Kenya when the exchange... (Solved)

A tourist visited Kenya with 2500 U.S dollars and changed the U.S dollars into Kenya Shillings at a local bank in Kenya when the exchange rates at the time were as follows:

(a) How much did he get in Kenya shillings?

(b) While in Kenya, he used Shs. 80,000 and after his stay he converted the remaining amount into sterling pounds. Calculate, to 2 decimal places, the Sterling Pounds that he got.

Date posted: September 10, 2019 . Answers (1)
Three boats X, y and Z are approaching a harbour H. X is 50km from the harbour on a bearing of 090°. (Solved)

Three boats X, y and Z are approaching a harbour H. X is 50km from the harbour on a bearing of 090°. Y is 80km from the harbour on a bearing of 130° and Z is due West of Y and on a bearing of 200° from the harbour.

(a) Using a scale of 1cm rep 10km make a scale drawing showing the positions of the three boats relative to the harbour.

(b)
(i) Using the scale drawing find; the distance between X and Y.
(ii) The distance of Z from the harbour
(iii) The distance between X and Z.
(iv) The compass bearing of X from Z.

Date posted: September 6, 2019 . Answers (1)
Determine the values of x where the curve y = x² - 2x - 3 (Solved)

(a) Determine the values of x where the curve y = x² - 2x - 3 cuts the x-axis.

(b) Using the mid-ordinate rule with four ordinates, estimate the area enclosed by the curve
y = x² - 2x - 3 and the x-axis

(c) Calculate the same area using integration method.

(d) Taking the area obtained by integration to be the exact area of the region, calculate the percentage error made when the mid-ordinate rule is used.

Date posted: September 6, 2019 . Answers (1)
The image of point A (-3, 4) under a translation, T is A¹ (2, -2). (Solved)

The image of point A (-3, 4) under a translation, T is A¹ (2, -2). If the image of a point B under
T is (0, -1). Find the coordinates of B.

Date posted: September 6, 2019 . Answers (1)
Martha has 26 coins whose total value is sh.205. (Solved)

Martha has 26 coins whose total value is sh.205. There are thrice as many Sh.10 coins as there are
Sh.20 coins. The rest are 50cts coins. Find the number of Sh.20 coins that Martha has.

Date posted: September 6, 2019 . Answers (1)
In the triangle ABC below. AC = 8cm and BC = 5cm and angle BCA = 30°. (Solved)

In the triangle ABC below. AC = 8cm and BC = 5cm and angle BCA = 30°. Point D divides BC in the ratio 1: 4 and point E divides AC in the ratio 2: 3. Find the area of the quadrilateral ABDE.

Date posted: September 6, 2019 . Answers (1)
Use reciprocal and square tables to calculate to 3 significant figures the value of: (Solved)

Use reciprocal and square tables to calculate to 3 significant figures the value of:

Date posted: September 6, 2019 . Answers (1)
If three numbers 36, 54 and x have a GCD of 6 and LCM of 216. (Solved)

If three numbers 36, 54 and x have a GCD of 6 and LCM of 216. Find the least value of x

Date posted: September 6, 2019 . Answers (1)
The displacement S metres of a body moving along a straight line after t seconds is given by (Solved)

The displacement S metres of a body moving along a straight line after t seconds is given by

(a) Find its initial acceleration.
(b) Calculate:-
(i) The time when the body was momentarily at rest.
(ii) Its displacement by the time it comes to rest momentarily
(c) Calculate the maximum velocity attained

Date posted: September 6, 2019 . Answers (1)
In the figure, E is the midpoint of AB and OD:OB = 2:5 and F is the point of intersection of OE and AD. (Solved)

In the figure, E is the midpoint of AB and OD:OB = 2:5 and F is the point of intersection of OE and AD.

(b) Given further that AF = tAD and OF = hOE where t and h are scalars, find the values of t and h
(c) Show that the points O, F and E are collinear

Date posted: September 6, 2019 . Answers (1)
The figure below shows a model of a solid in the shape of a frustum of a cone with a hemispherical top. (Solved)

The figure below shows a model of a solid in the shape of a frustum of a cone with a hemispherical top.

The diameter of the hemispherical top is 70cm and is equal to the diameter of the top of the frustum. The
frustum has a base diameter of 28cm and a slant height of 60cm.
(a) Calculate the area of the hemispherical surface.
(b) Calculate the slant height of the cone from which the frustum was cut.
(c) Calculate the total surface area of the model

Date posted: September 6, 2019 . Answers (1)
The diagram below shows two circles centre A and B which intersect at point P and Q. Angle PBQ = 40⁰ and angle PAQ =... (Solved)

The diagram below shows two circles centre A and B which intersect at point P and Q. Angle PBQ = 40⁰ and angle PAQ = 70⁰, and PA = AQ = 8cm.

Use the diagram to calculate to two d.p
(a) The length PQ
(b) The length PB
(c) Area of minor segment of circle centre A
(d) Area of minor segment of circle centre B
(e) The area of shaded region.

Date posted: September 6, 2019 . Answers (1)
Three partners Mutua, Muthoka and Mwikali contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000 respectively (Solved)

Three partners Mutua, Muthoka and Mwikali contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000
respectively to start a business of a matatu plying Mbumbuni – Machakos route. The matatu carries 14
passengers with each paying Sh. 250. The matatu makes two round trips each day and ever full. Each day
Sh. 6000 is used to cover running costs and wages.

(a) Calculate their net profit per day.
(b) The matatu works for 25 days per month and is serviced every month at a cost of KSh.10, 000. Calculate their monthly profit in June.
(c) The three partners agreed to save 40% of the profit, 24% to be shared in the ratio of their contribution. Calculate Muthoka’s share in the month of July
(d) The matatu developed mechanical problems and they decided to sell it through an agent who charged a commission of 5% on selling price. Each partner received KSh. 475,000 from the agent after he had taken his commission. Determine the price at which the agent sold the matatu.

Date posted: September 6, 2019 . Answers (1)
Mutua bought 8 pairs of trousers and six shirts at Sh. 4160. (Solved)

Mutua bought 8 pairs of trousers and six shirts at Sh. 4160. Had he bought twice as many shirts and half
as many trousers, he would have saved Sh. 160. Find the cost of each item.

Date posted: September 6, 2019 . Answers (1)
In the figure below PQRS is a rectangle in which PS = 10cm and PQ = 6cm (Solved)

In the figure below PQRS is a rectangle in which PS = 10cm and PQ = 6cm. M and N are midpoints of
QR and RS respectively. Find the area of the shaded part.

Date posted: September 5, 2019 . Answers (1)
A line L passes through point (3, 1) and is perpendicular to the line 2y = 4x + 5. (Solved)

A line L passes through point (3, 1) and is perpendicular to the line 2y = 4x + 5. Determine the equation
of L

Date posted: September 5, 2019 . Answers (1)
The displacement of a particle S metres, t seconds after passing a fixed point O is given by S=3+2t-5t² (Solved)

The displacement of a particle S metres, t seconds after passing a fixed point O is given by
S=3+2t-5t²

Calculate:
(a) The displacement of the particle 2 seconds later
(b) The time taken for the particle to return to O
(c) The maximum displacement of the particle
(d) The initial velocity of the particle
(e) The acceleration of the particle after t seconds

Date posted: September 5, 2019 . Answers (1)
The figure below shows a prism whose cross section is a regular pentagon of side 6cm and whose length is 20cm (Solved)

The figure below shows a prism whose cross section is a regular pentagon of side 6cm and whose length is 20cm joined to a cylinder of radius 14cm and height 6cm to form a the model of a solid

(a) Calculate the cross section area of the pentagon
(b) Calculate the total volume of the solid
(c) The model represents a pillar of total height 5.2m, calculate the volume of the actual solid
in m³

Date posted: September 5, 2019 . Answers (1)
A matatu left Oyugis for Homabay town 51km away at an average speed of 48km/h at 7.00am. (Solved)

A matatu left Oyugis for Homabay town 51km away at an average speed of 48km/h at 7.00am. At 7.30am a Boda boda left Homabay for Oyugis travelling along the same route at an average speed of 60km/h

(a) The time when Boda boda meet the matatu
(b) How far from Oyugis did the Boda boda meet the matatu
(c) After meeting the Boda boda the matatu stopped for fifteen minutes before resuming the journey. At what speed should it travel then to reach Homabay at the same time when the Boda boda reached Oyugis

Date posted: September 5, 2019 . Answers (1)
Four schools Wiobiero, Asumbi, Nyawita and Angiro are such that Wiobiero is 15km from Asumbi on a bearing of 158^o (Solved)

Four schools Wiobiero, Asumbi, Nyawita and Angiro are such that Wiobiero is 15km from Asumbi on a bearing of 158^o, Nyawita is to the west of Asumbi and 20km away while An’giro is to the South of Nyawita and on a bearing of 240^o from Wiobiero.

(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 Ang’iro from Asumbi
(c) A mast is to be erected so that its equidistant from Asumbi and Nyawita and 20km from Ang’iro on the same diagram show the position of the mast and find its distance from Wiobiero

Date posted: September 5, 2019 . Answers (1)