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Without using a protractor, construct line XY = 8cm
a) Construct the locus of all points R such that ∠𝑋𝑅𝑌 = 60°
b) Construct the locus of all points P such that the area of triangle XPY is 16 𝑐𝑚2.
c) Mark all the points where the locus of R intersects the locus of P with the letters A,B,C and D
Date posted:
November 11, 2019
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During inter-school competitions, rugby and football teams from Ranje sec school took part. The probability that the rugby would win their first match was 1/8 while that the handball team could lose was 4/7. Find the probability that at least one team won the first match.
Date posted:
November 11, 2019
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Points A and B lie on latitude 15°N and their longitudes differ by 25°. An aircraft takes 8 hours to fly between the points. Calculate its speed in knots.
Date posted:
November 11, 2019
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Calculate the semi-interquartile range of 3,4,1,2,3,6,8,5,7,9.
Date posted:
November 11, 2019
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Give two reasons for raising rabbits hatch above the general level.
Date posted:
November 11, 2019
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State three reasons for de-beaking birds in poultry.
Date posted:
November 11, 2019
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State four qualities of a good honey
Date posted:
November 11, 2019
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State the amplitude and the phase angle of the curve 4y = cos(5x - 400)
Date posted:
November 8, 2019
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Calculate the exact value of compound interest earned on Sh. 20 000 for 1 and half years at the rate of 12% p.a, compounded half yearly.
Date posted:
November 8, 2019
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Given that z varies directly as the square of x and inversely as the square root of y. If x = 2, y = 9
when z = 3, find z when x = 3 and y = 4.
Date posted:
November 8, 2019
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Solve for x in the equation
log (5x - 15) - log(2x - 3) = 1
Date posted:
November 8, 2019
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The equation of a curve is given by y=x3 + 4x2 - 3x.
a) Find the value of y when x=1
b) Determine the stationary points of the curve.
c) Find the equation of the normal to the curve at =1 .
Date posted:
November 8, 2019
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(a) The ratio of Juma’s and Akinyi’s earnings was 5:3. Juma’s earnings rose to Ksh 8 400 after an increase of 12%. Calculate the percentage increase in Akinyi’s earnings given that the sum of their earnings was Ksh. 14 100.
(b) Juma and Akinyi contributed all the new earnings to buy maize at Ksh 1 175 per bag. The maize was then sold at ksh 1 762.50 per bag. The two shared all the money from the sales of the maize in the ratio of their contributions. Calculate the amount that Akinyi got.
Date posted:
November 8, 2019
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On the grid provided, draw the square whose vertices are A(6, -2), B(7, -2), C(7, -1) and D(6, -1).
On the same grid, draw:
(i) A’B’C’D’ the image of ABCD, under an enlargement scale factor 3 centre (9, -4)
(ii) A"B”C”D” the image of A’B’C’D’ under a reflection in the line x = 0
(iii) A”’B’”C’”D’” the image of A”B”C”D” under a rotation of +90° about (0,0).
Date posted:
November 8, 2019
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A line L1 passes through the points (-2, 3) and (-1, 6) and is perpendicular to L2 at (-1, 6).
a) Find the equation of L1.
b) Find the equation of L2 in the form ax + by - c = 0 where a, b and c are constants.
c) Given that another line L3 is parallel to L1 and passes through point (1,2) , find the x and y intercepts of L3 .
d) Find the point of intersection of L2 and L3.
Date posted:
November 8, 2019
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The diagram represents a solid frustum with base radius 21cm and top radius 14cm. The frustum is
22.5cm high and is made of a metal whose density is 3 𝑔⁄𝑐𝑚3. (Take 𝜋 = 22/7)
a) Calculate
(i) The volume of the metal in the frustum.
(ii) The mass of the frustum in kg.
b) The frustum is melted down and recast into a solid cube. In the process 20% of the metal is lost.
Calculate to 2 decimal places the length of each side of the cube.
Date posted:
November 8, 2019
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A number m is such that if its reciprocal is added to three times itself the result is 4. Form an equation in m and solve it.
Date posted:
November 8, 2019
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Find the area of the shaded region in the figure below given that AD = 15 cm, BE = 3 cm, AB = 3 cm,
∠𝐷𝐴𝐵 = ∠𝐸𝐵𝐶 = 90°.
Date posted:
November 8, 2019
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A man sets off by bus on a journey of 130 km. after the bus has traveled 119 km at an average speed of 42 𝑘𝑚/ℎ𝑟, it breaks down and he is immediately given a lift by a passing cyclist who takes him to his destination at average speed of 66 km/h.
Calculate;
a) The time taken for the whole journey.
b) His average speed for the whole journey.
Date posted:
November 8, 2019
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The following is a farm record Mr. Onyango had kept as at 30th June 2014.Study it carefully and answer the questions that follow.
(i) Prepare a balance sheet from the above information for Mr. Onyango’s farm.
(ii) State any four benefits of the balance sheet to Mr. Onyango.
Date posted:
November 8, 2019
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(a) Using a ruler and a compass only, construct triangle ABC in which BC = 8 cm,
angle ABC = 30° and angle ACB = 45° .
(b) At A drop a perpendicular to meet BC at D and measure AD.
Date posted:
November 8, 2019
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Give any two characteristics of master file.
Date posted:
November 8, 2019
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List three paragraph formatting features of word processors.
Date posted:
November 8, 2019
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Briefly explain the following terms as used in spreadsheet.
(i) Cell
(ii) Range
(iii) Value
(iv) Function
Date posted:
November 8, 2019
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Study the following pseudocode and answer the questions that follow.
i. Determine the value of N and X.
ii. Draw a flowchart of the above pseudocode.
Date posted:
November 8, 2019
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State three reasons why it is important observe safety precautions and practices in a computer laboratory.
Date posted:
November 8, 2019
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Differentiate between an electronic spreadsheet and the traditional analysis sheet.
Date posted:
November 8, 2019
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Differentiate between a drive and a device driver.
Date posted:
November 8, 2019
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Explain any two ways in which computers have been made user-friendly for persons that are physically challenged.
Date posted:
November 8, 2019
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You are required to carry out a field study on erosional features in glaciated lowland areas.
(i) Give two reasons why you would require a working schedule.
(ii) Apart from an arete, name two other erosional features you are likely to observe during the field study.
(iii) Give three follow up activities you would undertake after the field study
Date posted:
November 8, 2019