Given that OA = 6p-4q, OB = 2p - 14q and AB = m(2p + 5q), find the value of m. (4 marks) : Given that OA = 6p-4q, OB = 2p - 14q and AB = m(2p + 5q), find the value of m. (4 marks)
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON COMPOUND PROPORTIONS FORM 3 LEVEL : An inlet pipe fills an empty water tank in 8 hours while an outlet pipe empties the full tank in 5 hours. When the tank is full, the inlet and outlet pipes are opened at the same time. Calculate: (a) the fraction of the tank that is emptied in 1 hour; (2
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON SCALE DRAWING FORM 1 LEVEL : The angle of elevation of the top of a vertical mast, viewed by an observer 50m away, was found to be 16.7°. (a) Calculate to the nearest centimetre: (i) the height of the mast; (3 marks) (ii) the length of a cable fixed at the point of the observer to th
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON LINEAR MOTION FORM 3 LEVEL : The figure below is a velocity - time graph for a car that travelled from t = 0 to t = 60, where t is time in seconds.
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON VOLUME AND CAPACITY FORM 2 LEVEL : The volume of a cuboid is 64m³. The volume of a smaller similar cuboid is 512 cm³. (a) Express the volume of the larger cuboid in cm³. (2 marks) (b) Calculate the ratio of the surface area of the larger cuboid to that of the smaller cuboid. (5 marks) (c)
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON SCALE DRAWING-BEARING FORM 1 LEVEL : Towns A, B and C are located such that B is 400 km to the north of A and town C is 750 km on a bearing of 225° from town B. (a) Using a scale of 1 cm to represent 100 km, show by scale drawing the locations of towns A, B and C. (3 marks) (b) Determine the
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON SURFACE AREA OF SOLIDS FORM 2 LEVEL : The diagram below represents a pipe whose cross-section is shaded. The pipe has internal radius of 0.26m and an external radius of 0.3m.
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON QUADRATIC EQUATIONS FORM 3 LEVEL : The length and width of a rectangular plot of land are given as (7x + 5) m and (x + 10) m respectively. (a) Express the area of the plot in the form ax² + bx + c. (2 marks) (b) If the area of the plot is 600 m², find the perimeter of the plot. (6 marks) (
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON MATRICES AND TRANSFORMATIONS FORM 4 LEVEL : The points A(6,1), B(3,2), C(4,5) and D (9,5) are vertices of an object ABCD as shown in the figure below.
KCSE QUESTIONS AND ANSWERS ON COMMERCIAL ARITHMETIC I FORM 1 LEVEL : A saleswoman was paid a basic salary of Ksh12 000 per month. She also received commission in two parts as follows: 2% for sales of up to Ksh 30 000, 32% for sales above Ksh 30 000. In one month she sold goods worth Ksh 84 000. Determine the saleswoman's t
Maswali na Majibu ya Ushairi Kidato cha Nne : Nikiwa na njaa na matambara mwilini Nimehudumika kama hayawani Kupigwa na kutukanwa Kimya kama kupita kwa shetani Nafasi ya kupumzika hakuna Ya kulala hakuna Ya kuwaza hakuna Basi kwani hili kufanyika Ni kosa gani lilotendeka Liloniletea adhabu hii isomal
Maswali na Majibu ya Ushairi Kidato cha Nne : Jukwaninaingia, hukuhapapasokota, Kwauchunguninalia, hiitumbonitaikata, Msibamejiletea, nimekilakisotakata, We tumbonitakupani, uweumetosheka?
Maswali na Majibu ya Ushairi Kidato cha Nne : Wanaume ni Wanyama Nakumbuka vyema sana, sisahau siku ile Nilipoitwa na nina, akanipa ya kivyele Mwanangu u msichana, nakuasa usikile Si watu waone vile, wanaume ni wanyama.
Maswali na Majibu ya Ushairi Kidato cha Nne : KAMA SODOMA! Miji yetu kwa yakini, kidogo kama Sodoma! Haihitaji makini, kwa mwenye macho mazima Utaona walakini, mradi ukitizama Wanazini hadharani, wana kwa watu wazima Yafanana na Sodoma, miji yetu kwa yakini.
Maswali na Majibu ya Ufupisho Kidato cha Nne : Ukiwa mtoto unadhani ulimwengu ni kipande kimoja cha keki kilicho kitamu mithili ya asali. Hakuna dhiki, hakuna mateso, hakuna kuhuzunika kwa ama yoyote. Neno huzurn linasikika masikioni kama neno lisiloelekea kwenye uhalisia wowote.
Maswali na Majibu ya Ufahamu : Wanasaikolojia wanabainisha kati ya sehemu mbili kuu katika akili ya binadamu; ung’amuzi na ung’amuzibwete. Ung’amuzi ni sehemu ya ubongo ambayo kimsingi hupanua na kudadavua yanayotendeka hususan mchana. Ung’amuzibwete ni kibinimethali chake; hufanya kaz
Maswali na Majibu ya Ufupisho Kidato cha Nne : Binadamu wana mazoea ya kufikiria kuwa jinsi wafanyavyo, waongeavyo na wafikiriavyo kuhusu vitu ndivyo inavyopasa kuwa. Kama binandamu tunaamini njia yetu ndiyo sahihi, yenye mantiki na inayopasa kufuatwa na kila mtu. Msingi huu huu unakwenda kinyume na k
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Ten Questions with Answers on Vegetation in Geography : Explore ten key questions and their answers on vegetation in geography, covering topics such as vegetation types, characteristics, distribution, and human impacts. Gain a comprehensive understanding of the role and significance of vegetation in different
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON STATISTICS II FORM 3 LEVEL : The amount of money, in Kenya shillings, spent on airtime by a group of 30 people in a period of an hour was recorded as shown below. (a) Complete the frequency distribution table below.
KCSE MATHEMATICS QUESTION AND ANSWERS ON GEOMETRICAL CONSTRUCTIONS FORM 1 LEVEL : In the figure below, line AB = 10 cm and is part of a trapezium ABCD. Point X is such that angle BAX = 45°. (a) Using a ruler and a pair of compasses only: (i) locate point D on line AX such that AD: DX = 3:1. (3 marks) (ii) complete trapezium ABCD suc
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON CIRCLES, CHORDS AND TANGENTS FORM 3 LEVEL : Two parallel chords AB = 4cm and CD = 10 cm lie on opposite sides of a centre O of a circle. The perpendicular distance between the two chords is 7 cm. Calculate the radius of the circle leaving the answer in surd form. (3 marks)
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON QUADRATIC EQUATIONS FORM 3 LEVEL : The perimeter of a rectangle is 48 cm while it area is 108 cm². Form a quadratic equation to represent the situation and hence determine the dimensions of the rectangle. (3 marks)
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON EQUATIONS OF A STRAIGHT LINE FORM 2 LEVEL : A triangle ABC is right angled at point A. The vertices of the triangle are A(1, -2), B(5, 4) and C(m, n). The equation of line BC is 5yx = 15.
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON DENSITY FORM 1 LEVEL : A shot put is spherical and has mass of 7.26kg. It is made of a metal with a density of 6.93 g/cm³. (Take PIE = 22/7). (a) Determine the radius of the shot put, correct to 1 decimal place. (3 marks) (b) A bucket is in the shape of a frustum of a cone. The
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON COMMERCIAL ARITHMETICS I FORM 3 LEVEL : A contractor hired Wema and Tatu to transport 144 tonnes of stones to building sites A and B. To transport 48 tonnes of stones for a distance of 28 km, the contractor paid Ksh 24000.