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- Without using a calculator evaluate(Solved)
Without using a calculator evaluate
Date posted: September 5, 2019.
- 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.
- 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.
- 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.
- The table shows the marks obtained by 40 candidates in an examination(Solved)
The table shows the marks obtained by 40 candidates in an examination
(a) Find the value of x
(b) On the grid provided below draw a histogram to represent the data
(c) By drawing a straight line on the graph above determine the median mark
Date posted: September 5, 2019.
- Four schools Wiobiero, Asumbi, Nyawita and Angiro are such that Wiobiero is 15km from Asumbi on a bearing of 158o(Solved)
Four schools Wiobiero, Asumbi, Nyawita and Angiro are such that Wiobiero is 15km from Asumbi on a bearing of 158o, Nyawita is to the west of Asumbi and 20km away while An’giro is to the South of Nyawita and on a bearing of 240o 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.
- Mr. Ombogo the principal of Chiga secondary would wish to cover the floor of the new administration block using the square tiles.(Solved)
Mr. Ombogo the principal of Chiga secondary would wish to cover the floor of the new administration block using the square tiles. The floor is a rectangle of sides 12.8m by 8.4m. Find the area of each of the largest tiles which can be used to fit exactly without breaking
Date posted: September 5, 2019.
- A train of length 80m crosses a bridge 20m long in 5 seconds.(Solved)
A train of length 80m crosses a bridge 20 m long in 5 seconds. Calculate the average speed of the train in km/h
Date posted: September 5, 2019.
- Given that sin (3x-35)o – cos (x+20)o= 0 and x is an acute angle(Solved)
Given that sin (3x-35)o – cos (x+20)o= 0 and x is an acute angle, find its value
Date posted: September 5, 2019.
- The diagram below shows the sketch of the curve y=x2-x-6(Solved)
The diagram below shows the sketch of the curve y=x2-x-6
Using the mid-ordinate rule with five rectangles, calculate the area of the shaded region
Date posted: September 5, 2019.
- Evaluate using mathematical tables only expressing your answer to 4 significant figures(Solved)
Evaluate using mathematical tables only expressing your answer to 4 significant figures
Date posted: September 5, 2019.
- Patricia a student at Ongeti mixed Secondary bought 5 pens and 3 exercise books from Solving supermarket at Kshs. 135(Solved)
Patricia a student at Ongeti mixed Secondary bought 5 pens and 3 exercise books from Solving supermarket at Kshs. 135, at the same time Jane her class mate also bought 4 pens and 5 exercise books and spent Ksh. 25 more than Patricia. Find the cost of each pen and exercise book
Date posted: September 5, 2019.
- The figure below shows a triangular prism ABCDEF. AF=CD=BE=18cm(Solved)
The figure below shows a triangular prism ABCDEF. AF=CD=BE=18cm, The ends ABC and EDF are equilateral triangles of side 8cm. calculate the angle plane ABD makes with the lie CD
Date posted: September 5, 2019.
- In the circle drawn to scale below A,B,C and D are points on its circumference, Chord BC=AC and angle ADC=138o(Solved)
In the circle drawn to scale below A,B,C and D are points on its circumference, Chord BC=AC and angle ADC=138o
Giving reasons calculate the angle ACB
Date posted: September 5, 2019.
- Solve the simultaneous inequalities given below and list all the integral values of x(Solved)
Solve the simultaneous inequalities given below and list all the integral values of x
Date posted: September 5, 2019.
- The figure below shows a triangle ABC not drawn to scale, D is a point on line AC.(Solved)
The figure below shows a triangle ABC not drawn to scale, D is a point on line AC. Given that BC=14cm, DC=7cm and angle ABC=angle BDC. Find the length of AD
Date posted: September 5, 2019.
- Simplify completely by factorization(Solved)
Simplify completely by factorization
Date posted: September 5, 2019.
- A solid block in the shape of a cylinder has a height of 14cm and weighs 22kg.(Solved)
A solid block in the shape of a cylinder has a height of 14cm and weighs 22kg. If it is made of material of density 5g/cm3, find the radius of the cylinder. (Take pi=22/7)
Date posted: September 5, 2019.
- Mr. Ochuodho who deals in electronics sells a radio to a customer at Kshs. 1,440 after giving him a discount of 10%(Solved)
Mr. Ochuodho who deals in electronics sells a radio to a customer at Kshs. 1,440 after giving him a discount of 10% but finds that he still makes a 20% profit. Find the profit Mr. Ochuodho would make if he does not give a discount.
Date posted: September 5, 2019.
- A straight line L1 is perpendicular to another line L2 whose equation is 3y+4x=12(Solved)
A straight line L1 is perpendicular to another line L2 whose equation is 3y+4x=12. If the two lines
meet at point P which lines on the x-axis, find:
(i) The co-ordinate of point P
(ii) The equation of line L1 in the form y=mx+c
Date posted: September 5, 2019.
- Calculate the standard deviation for the data below(Solved)
Calculate the standard deviation for the data below
5,8,13,12,7,10,8,15,3,14
Date posted: September 5, 2019.
- Evaluate without using a calculator(Solved)
Evaluate without using a calculator
Date posted: September 5, 2019.
- Points A,B,C have the co-ordinates (3,1)(8,2) and (2,6) respectively(Solved)
Points A,B,C have the co-ordinates (3,1)(8,2) and (2,6) respectively
(a) Find the mid points of AB and AC
(b) Determine the equations of the perpendicular bisector of AB and AC
(c) Hence or otherwise determine the equation of a circle which passes through the points A, B and C
Date posted: September 4, 2019.
- Complete the table below by filling in the blank spaces for the functions y=sin(x+30)(Solved)
(a) Complete the table below by filling in the blank spaces for the functions y=sin(x+30) and y= cos ½ x and draw their graphs on the same axes
(b) Use your graph to solve
(i) Sin (x+30)-cos ½ x=0
(ii) Sin (x+30)=0
(iii) Cos ½ x=-0.25
Date posted: September 4, 2019.
- The points P(1,5) Q(2,2) R(1,1) and S(4,2) are vertices of a quadrilateral PQRS(Solved)
The points P(1,5) Q(2,2) R(1,1) and S(4,2) are vertices of a quadrilateral PQRS
(a) On the grid provided, draw the quadrilateral PQRS
(b) On the same grid draw P1Q1R1S1 the image of PQRS under a rotation of positive quarter turn about the origin. State the co-ordinates of P1Q1R1 and S1
(c) The point P11Q11R11S11 are the images of P1Q1R1S1 under a reflection in the x-axis. On
the same grid draw quadrilateral P11Q11R11S11 and state its co-ordinates
(d) Quadrilateral P11Q11R11S11 is the image of PQRS under a certain reflection. On your graph draw the mirror line LL for the reflection and state its equation
Date posted: September 4, 2019.
- The figure below is a solid frustrum of a rectangular based pryramid AB=12cm, BC=10cm, EF=6cm FG=5cm, FB=8cm and vertical height 6cm.(Solved)
The figure below is a solid frustrum of a rectangular based pryramid AB=12cm, BC=10cm, EF=6cm FG=5cm, FB=8cm and vertical height 6cm.
(a) Calculate the volume of the frustrum
(b) Calculate the surface area of the frustrum
Date posted: September 4, 2019.
- The probability of Onyancha, Nyamusi and Jemima hitting the bull’s eye are(Solved)
The probability of Onyancha, Nyamusi and Jemima hitting the bull’s eye are respectively.
(a) Draw a probability tree diagram showing this possible outcomes
(b) Find the probability that;
(i) All hit the bulls eye
(ii) Only one of them hit the bull’s eye
(iii) At most one misses the bull’s eye
Date posted: September 4, 2019.
- A passenger train travelling at 25km/hr is moving in the same direction as the truck travelling at 30km/hr.(Solved)
A passenger train travelling at 25km/hr is moving in the same direction as the truck travelling at 30km/hr. the railway line runs parallel to the road and the track takes 1 ½ to overtake the train completely
(a) Given that the truck is 5 metres long determine the length of the train in metres
(b) The track and the train continue moving parallel to each other at the original speeds. Calculate the distance between them after 4 minutes and 4 seconds after the track overtake the train
(c) The track stopped 45 minutes after overtaking the train. How long did the train take to catch up with the truck
Date posted: September 4, 2019.
- Four towns A,B,C and D are such that B is on a bearing of 247o and 6km from A.(Solved)
Four towns A,B,C and D are such that B is on a bearing of 247o and 6km from A. C is due SSE and 4.8km from B. D is to the south of A and the bearing of C from D is S44oW
(a) Make a scale drawing showing the relative positions of A,B,C and D using the scale 1cm represents 1km
(b) Use your drawing to determine
(i) The bearing of A from C
(ii) The distance between C and D
(iii) How far D is east of B
(c) The average speed of a cyclist from C to A if he takes 30 minuets between A and D and 20 minutes between D and A
Date posted: September 4, 2019.
- A cold water tap can fill a bath in 3 minutes while a hot tap can fill in 5 minutes.(Solved)
A cold water tap can fill a bath in 3 minutes while a hot tap can fill in 5 minutes. The drain pipe can empty the bath in 3 ¾ minutes. The two taps and the drain pipe are fully open for 2 minutes, after which the drain pipe is closed.
(a) What fraction of the bath is filled after the first two minutes
(b) How many seconds are required for the bath to be completely filled?
(c) Given that the cold water tap delivers water at the rate of 200cm3/s
Determine
I. The capacity of the bath in litres
II. The rate of flow of the hot water tap
Date posted: September 4, 2019.