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The position vectors of points A and B are OA=q21 vector a and OB = q21 vector b .A point M is on AB such that AM = ½AB and a point N is on OB such that ON:NB= 1:
asked
Jun 17, 2021
in
Mathematics Form 2
by
anonymous
vectors
0
votes
1
answer
A forest is enclosed by four straight boundaries AB, BC, CD and DA. Point B is 25km on a bearing of 315° from A, C is directly south of B on a bearing of 260° from A and D is 30km on a bearing of 210° from C.
asked
Jun 17, 2021
in
Mathematics Form 2
by
anonymous
scale drawing
bearing
0
votes
1
answer
The average speed of a pick-up was 20km/h faster than the average speed of a lorry. The pick-up took 45 minutes less than the lorry to cover a distance of 180 km.
asked
Jun 17, 2021
in
Mathematics Form 2
by
anonymous
linear motion
relative speed
0
votes
1
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A solid consists of a conical part, a cylindrical part and a hemispherical part. All the parts have the same diameter of 12cm. The height of the cylindrical part is 15cm and the slanting height of the conical part is 10 cm. (Take π = 3.142).
asked
Jun 17, 2021
in
Mathematics Form 2
by
anonymous
volume of solids
surface area
0
votes
1
answer
Three business partners, Kosgei, Kimani and Atieno contributed Ksh 1,750,000 towards an investment. Kosgei contributed 20% of the money. Kimani and Atieno contributed the remainder in the ratio 3:5 respective
asked
Jun 17, 2021
in
Mathematics Form 1
by
anonymous
ratios
proportions
percentages
0
votes
1
answer
The figure below shows a quadrilateral ABCD and a mirror line M1M2.
asked
Jun 17, 2021
in
Mathematics Form 2
by
anonymous
similarity-and-enlargement
similarity and enlargement
0
votes
1
answer
In a 4x400 m relay competition, a team of athletes each completed their round in 45 sec, 43 sec, 44 sec and 45 see respectively. If the race started at 1:35:31 p.m., find the time when the team completed the race.
asked
Jun 17, 2021
in
Mathematics Form 1
by
anonymous
linear-motion
time
0
votes
1
answer
A vertical electric pole was erected 6.4m from the foot of a vertical fencing pole on the same horizontal level. The fencing pole is 2m high. The angle of elevation of the top of the electric pole from the top of the fencing pole is 30°. Determine the height of the electric pole correct to 1 decimal place.
asked
Jun 17, 2021
in
Mathematics Form 1
by
anonymous
trigonometry
angles-of-elevation
0
votes
1
answer
A chord of a circle, 7 cm long subtends an angle of 60° at the centre of the circle. Detemine the area correct to 2 decimal places, of the major segment of the circle.
asked
Jun 17, 2021
in
Mathematics Form 1
by
anonymous
shapes-and-angles
area
0
votes
1
answer
A Kenyan Non-Governmental Organization (NGO) received a donation of 200 000 US dollars. The money was converted into Kenyan shillings in a bank which buys and sells foreign currency as follows:
asked
Jun 17, 2021
in
Mathematics Form 1
by
anonymous
commercial-arithmetic
0
votes
1
answer
Using a ruler and a pair of compasses only, construct a parallelogram ABCD in which AB = 6cm, BC = 5cm and angle ADC = 150°.
asked
Jun 17, 2021
in
Mathematics Form 2
by
anonymous
scale-drawing
0
votes
1
answer
In the figure below, AB and CD are arcs of two concentric circles, centre O. Angle AOB = 60° and AD=BC=7cm.
asked
Jun 17, 2021
in
Mathematics Form 2
by
anonymous
shapes
lengths
perimeter
circumference
arcs
0
votes
2
answers
Given that sin(θ+30°)=cos2θ, find the value of cos(θ+40°).
asked
Jun 17, 2021
in
Mathematics Form 2
by
anonymous
trigonometry
0
votes
1
answer
Using a grid, solve the simultaneous equations.
asked
Jun 17, 2021
in
Mathematics Form 1
by
anonymous
algebra
simultaneous-equations
0
votes
1
answer
The sum of the interior angles of a regular polygon is 1260°. Find the size of each exterior angle of the polygon.
asked
Jun 17, 2021
in
Mathematics Form 2
by
anonymous
shapes
polygons
0
votes
1
answer
The line 2y+x= 1 is perpendicular to a line L. Line L passes through point (2,−1), Determine the equation of L in the form y = mx + c, where m and c are constants.
asked
Jun 17, 2021
in
Mathematics Form 2
by
anonymous
graphs
equations-of-straight-lines
0
votes
1
answer
Simplify the equation
asked
Jun 17, 2021
in
Mathematics Form 2
by
anonymous
algebra
quadratic-equations
0
votes
1
answer
A rectangular floor of a room measures 5.4 m long and 4.2 m wide. The room is to be covered with square tiles. Calculate the minimum number of square tiles that can be used to cover the floor.
asked
Jun 17, 2021
in
Mathematics Form 1
by
anonymous
shapes
area
gcd
0
votes
1
answer
Without using a calculator or mathematical tables, evaluate:
asked
Jun 17, 2021
in
Mathematics Form 1
by
anonymous
integers
powers
squares
square-roots
cube-roots
0
votes
1
answer
Express the recurring decimal as a mixed number.
asked
Jun 17, 2021
in
Mathematics Form 1
by
anonymous
fractions
decimals
recurring-decimals
integers
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