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Bondo District Mathematics 121 /1 Question Paper
Bondo District Mathematics 121 /1
Course:Secondary Level
Institution: Mock question papers
Exam Year:2006
PAPER 1
SECTION 1 ( 50 MARKS)
Answer all the questions
1.
Show that 8260439 is exactly divisible
by 11, using test of divisibility.
(2mks)
2.Use logarithms tables to evaluate
3(4.562 x 0.038) ( 0.3 + 0.52)-1
Giving your answer to 3 significant figures.
(4mks)
3.Without using a calculator, evaluate
36 – 8 x –4 - 15 ? - 33 x –3 + -8 ( 6 –(-2))
(3mks)
4.The above figure (not drawn to scale) shows the cross-section of a metal bar of length 3 meters. The
ends are equal semi-circles. Determine the mass of the metal bar in kilograms if the density of the
metal is 8.87 g/cm3 .
(3mks)
5.In the figure below, O is the center of the circle. AOD and BCD are straight
lines. Angle AOC = 138 0
and angle OAB=35 0
. Determine the size of angle ADB.
(2mks)
6.At 10.30am, a boy starts out from
town A and cycles at an average speed of 15km/h towards B which is 65km away. Some 20 minutes later a motorist leaves town B and travels towards A at an average speed of 75km/h. At what time did the two meet.
(4mks)
7. Find the integral values of X which
satisfy the following inequality.
2x + 3 > 5x – 3 > - 8
(3mks)
8.a) Sketch the net of a wedge in the following figure.
(there is 20mm and 70mm)
b) Calculate the surface area of the net drawn above.
(3mks)
9.The G.C.D of two numbers is 12 and their L.C.M is 240. If one of the numbers is 60, find the other number.
(2mks)
10.ABCD is a Rhombus with three of its vertices A(2,5), B (1, -2), C (-5,1).
Determine the equation of line BD in the form of y = mc + c.
(3mks)
11.A surveyor recorded the information about a tea farm in his field book as in the table below. Q
600 90 to C To A 180 420 300 90 to D To B 50 50 P
a) Given that PQ = 650m, make a
sketch of the field.
(2mks)
b) Hence find the area of the field in
hectares.
(2mks)
12.Factorise completely the expression, 3 2 y2 – 8xy – 51
(3mks) .
On the grid below, draw a histogram
to represent the following distribution.
(3mks)
Length (cm)
1 – 5
6 – 15
16 – 30
31 – 40
Frequency
2
9
10
8
(respectively)
14.An observer stationed 20m away from a tall building finds that the angle of elevation of the top of the building is 68 0 and the angle of depression of its foot is 50 0
. Calculate the height of the building.
(3mks)
15.Find by construction, the center and the angle of rotation if A
1 B 1 is the image of AB.
(3mks)
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