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- 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)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- Simplify completely by factorization(Solved)
Simplify completely by factorization
Date posted: September 5, 2019. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)