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- In the figure below, OPQR is a trapezium in which PQ is a parallel to OR and M is the mid- point of QR. OP=...(Solved)
In the figure below, OPQR is a trapezium in which PQ is a parallel to OR and M is the mid- point of QR. OP= p, OR = r and PQ = ⅓ OR
Find OM in terms of p and r.
Date posted: August 9, 2019. Answers (1)
- The sum of three consecutive odd integers is greater than 219. Determine the first three such integers.(Solved)
The sum of three consecutive odd integers is greater than 219. Determine the first three such integers.
Date posted: August 9, 2019. Answers (1)
- The sum of the interior angles of a regular polygon is 10800. (Solved)
The sum of the interior angles of a regular polygon is 10800. Calculate
(a) The number of sides of the polygon
(b) The sizes of the exterior and interior angles of the polygon
Date posted: August 9, 2019. Answers (1)
- Three similar pieces of timber of length 240cm, 320cm and 380cm are cut into equal pieces. Find the
largest possible area of a square which can...(Solved)
Three similar pieces of timber of length 240cm, 320cm and 380cm are cut into equal pieces. Find the
largest possible area of a square which can be made from any of the three pieces.
Date posted: August 9, 2019. Answers (1)
- A bus left a petrol station at 9.20 am and travelled at an average speed 75km/h to a town N. At 9.40 am a taxi,...(Solved)
A bus left a petrol station at 9.20 am and travelled at an average speed 75km/h to a town N. At 9.40 am a taxi, traveling at an average speed of 95km/h, left the same petrol station and followed the route of the bus.Determine the distance, from the petrol station, covered by the tax at the same time it caught up with the bus.
Date posted: August 9, 2019. Answers (1)
- If 3(2x) - 4(3x) + 3 = 0. Find the possible values of x(Solved)
If 3(2x) - 4(3x) + 3 = 0. Find the possible values of x
Date posted: August 9, 2019. Answers (1)
- Complete the figure below so as to make the net of a cuboid. Hence determine the surface area of the
cuboid.(Solved)
Complete the figure below so as to make the net of a cuboid. Hence determine the surface area of the
cuboid.
Date posted: August 9, 2019. Answers (1)
- Simplify the expression(Solved)
Simplify the expression
Date posted: August 9, 2019. Answers (1)
- A Kenyan bank buys and sells foreign currency as shown below.(Solved)
A Kenyan bank buys and sells foreign currency as shown below.
A tourist travelling from Britain arrives in Kenya with 5000 Euros. He converts all the Euros to Kenya
shillings at the bank. While in Kenya he spends a total of KSh. 289,850 and then converts the remaining
Kenya shillings to US dollars at the bank. Calculate (to nearest dollar) the amount he receives?
Date posted: August 9, 2019. Answers (1)
- The length and width of a triangle measured to the nearest millimeter are 7.5cm and 5.2 respectively. Find to four significant figures, the percentage error...(Solved)
The length and width of a triangle measured to the nearest millimeter are 7.5cm and 5.2 respectively. Find to four significant figures, the percentage error in the area of the rectangle.
Date posted: August 9, 2019. Answers (1)
- In Blessed Church choir, the ratio of males to females is 2:3.(Solved)
In Blessed Church choir, the ratio of males to females is 2:3. On one Sunday service, ten male members
were absent and six new female members joined the choir as guests for the day. If on this day the ratio of
males to females was 1:3, how many regular members does the choir have?
Date posted: August 9, 2019. Answers (1)
- Without using a calculator; evaluate(Solved)
Without using a calculator; evaluate
Date posted: August 9, 2019. Answers (1)
- Evaluate without using a calculator(Solved)
Evaluate without using a calculator
Date posted: August 9, 2019. Answers (1)
- Bag x contains 672 sweets, bag Y 504 sweets and bag Z 360 sweets, all of different types.(Solved)
Bag x contains 672 sweets, bag Y 504 sweets and bag Z 360 sweets, all of different types. The sweets are to be shared out among a group of students in such a way that each student gets the same number of each type.
(a) (i) Find the largest possible number of students.
(ii) What is the total number of sweets received by each student
(b) A number A leaves a reminder of 5 when divided by 29 and also a remainder of 5 when divide by 23. Find the least value of A.
Date posted: August 9, 2019. Answers (1)
- A small field was surveyed and the measurements recorded in a surveyor’s field book as in the table below.(i) Using a scale of 1cm...(Solved)
A small field was surveyed and the measurements recorded in a surveyor’s field book as in the table below.
(i) Using a scale of 1cm to 10cm make an accurate drawing of the map of the field.
(ii) Find the area of the field.
(iii) Assuming that the baseline in (a) runs in a northern direction give the position of D relative to A using bearing and distance.
Date posted: August 9, 2019. Answers (1)
- Two circles of radius 7cm each with centres x and y. The circles touch each other at point Q.(Solved)
Two circles of radius 7cm each with centres x and y. The circles touch each other at point Q. Given that 0 and lines AB, XQY and DC are parallel. Calculate the area of
(a) Minor sector
(b) The trapezium (c) The shaded regions
Date posted: August 9, 2019. Answers (1)
- Four points B, C, Q and D lie on the same plane. Point B is 42km due southwest point Q. Point C is 50 km...(Solved)
Four points B, C, Q and D lie on the same plane. Point B is 42km due southwest point Q. Point C is 50 km on a bearing of S60oE from Q. Point D is equidistant from B, Q and C.
(a) Using the scale: 1cm represents 10km, construct a diagram showing the positions of B, C, Q and D.
(b) Determine the
(i) Distance between B and C
(ii) Bearing of D from B
(c) Find the distance and bearing of D from C.
Date posted: August 9, 2019. Answers (1)
- Four towns P, Q, R and S are such that Q is 168km from P on a bearing of 630.(Solved)
Four towns P, Q, R and S are such that Q is 168km from P on a bearing of 630. R is 288km on a bearing of S 300E from Q. S is due west of R on a bearing of 1610 from P using the scale of 1cm to represent 40km,
(a) Show the relative position of P, Q, R and S.
(b) From the diagram, find
(i) The bearing of S from Q
(ii) The bearing of P from R
(iii) The distance of PS and SR
Date posted: August 9, 2019. Answers (1)
- (a) The diagram represents a solid frustum with base radius of 35cm and top radius of 21cm.The frustum is 22.5cm high and is made of...(Solved)
(a) The diagram represents a solid frustum with base radius of 35cm and top radius of 21cm.The frustum is 22.5cm high and is made of a metal whose density is 4g/cm³.
Taking pi = 22/7, calculate
(i) The volume of the metal that makes the frustum.
(ii) The mass of the frustum.
(b) The frustum is melted in down and recast into a solid cube in the process 20% of the metal is lost. Calculate to 2d.p the length of each side of the cube.
Date posted: August 9, 2019. Answers (1)
- A hemispherical bowl has internal and external radii 30cm and 32cm respectively(Solved)
A hemispherical bowl has internal and external radii 30cm and 32cm respectively.
(a) Calculate the volume of the material used in making the bowl
(b) The bowl is made of copper of density 9g/cm3. Calculate the mass of the copper used to make the bowl.
(c) Find the total cost of making the bowl if copper cost shs 450 per kg
Date posted: August 9, 2019. Answers (1)