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Recent questions in Mathematics
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A road contractor has to transport 240 tonnes of hardcore. He will use two types of lorries, type A and type B. He has 3 type A lorries and 2 type B lorries. The capacity of each type A lorry is 8 tonnes while that of type B is 15 tonnes. All type A lorries must each make the same number of trips. Similarly all type B lorries must each make the same number of trips. The number of trips made by each type B lorry should be less than twice those made by each type A lorry. Each type A lorry must not make more than 6 trips.
asked
Jun 18, 2021
in
Mathematics Form 2
by
anony mous
linear inequalities
linear equations.
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1
answer
An aircraft took off point A(xºN, 15ºE) at 0720h, local time. It flew due West to another point B(xºN, 75ºW) a distance of 5005 km from A. After a stopover ot 1 hour 30 mimutes at point B. the aircraft took off and flew for 3 hours 40 minutes due South to a point C. The aircraft maintained an average speed of 910 km/h for the journey fom A to B and also from B to C (Take π = 22 and the radius of the earth to be 6370 km) 7
asked
Jun 18, 2021
in
Mathematics Form 4
by
anony mous
longitudes and latitudes
time
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1
answer
The table below shows the income tax rates for a certain year
asked
Jun 18, 2021
in
Mathematics Form 3
by
anony mous
commercial arithmetic
income tax
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votes
1
answer
Kering purchased (2x-1) identical pens for Ksh 180. Naraya purchased (3x+ 1) identical pencils for Ksh 200.
asked
Jun 18, 2021
in
Mathematics Form 1
by
anony mous
quadratic expressions
algebra
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votes
1
answer
A farmer has two tractors P and Q. Tractor P, working alone, can plough a piece of land in 5 hours while tractor Q would take 1 2/3 hours less than tractor P.
asked
Jun 18, 2021
in
Mathematics Form 1
by
anony mous
propotion
direct and inverse
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1
answer
A particle moves in a straight line from a fixed point. The velocity V ms-1 of the particle after t seconds is given by V = t2- 4t + 6. Calculate the distance travelled by the particle in the first 4 seconds.
asked
Jun 18, 2021
in
Mathematics Form 2
by
anony mous
linear motion
velocity and acceleration
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votes
1
answer
The position vectors of points P, Q and R are Show that points P. Q and R are collinear.
asked
Jun 18, 2021
in
Mathematics Form 3
by
anony mous
vector
collinearity
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votes
1
answer
Solve the equation sin2θ - cos2θ = - 1/2 for 0°≤ θ ≤ 360°
asked
Jun 18, 2021
in
Mathematics Form 3
by
anony mous
trigonometry
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1
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The cash price of a cooker is Ksh 27 500. A customer opts to buy the cooker on hire purchase terms by paying a deposit of Ksh 17250. Determine the monthly rate of compound interest charged on the balance if the customer is required to repay by six equal monthly instalments of Ksh 2 100 each.
asked
Jun 18, 2021
in
Mathematics Form 3
by
anony mous
commercial arithmetic
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1
answer
The mean of six numbers is calculated. The deviations of the numbers from the mean are -4.5. 3, 2. d, 1. Detemine the value of d and hence find the exact variance of the numbers.
asked
Jun 18, 2021
in
Mathematics Form 3
by
anony mous
sequencies and series
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votes
1
answer
In an experiment involving two variables, time (t), hours and height, (h) ; the following results were obtained.
asked
Jun 18, 2021
in
Mathematics Form 2
by
anony mous
coordinates and graphs
linear graphs.
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1
answer
A point P(x, y) is mapped onto P'(x1, y1) by successive transformations M = matrix M followed by N = matrix N Determine the single transformation matrix that would map P'(x1, y1) onto P(x, V).
asked
Jun 18, 2021
in
Mathematics Form 4
by
anony mous
matrices and transformations
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votes
1
answer
The figure ABCD below is a scale drawing representing a rectangular garden of length 60 m and width 30m.
asked
Jun 18, 2021
in
Mathematics Form 1
by
anony mous
scale drawing
geometric constrcution
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votes
1
answer
Solve for x given that ½log29+ log2(5x- 4) = 7
asked
Jun 18, 2021
in
Mathematics Form 2
by
anony mous
indices
logarithms
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votes
1
answer
In the figure below, O is the centre of the circle and N is a point on the circumference.
asked
Jun 18, 2021
in
Mathematics Form 3
by
anony mous
circle cords and tangents
geometrical construction
0
votes
1
answer
Two variables x and y are such that y varies directly as xn where n is a constant. Given that y = 320 when r=16 and y =2560 when x = 64, find the value of n
asked
Jun 18, 2021
in
Mathematics Form 1
by
anony mous
algebric expressions
substitution and evaluation
formulae and variations
0
votes
1
answer
The figure below shows a cuboid labelled ABCDEFGU Point O is the mid point of BD. AB 15 cm, BC =8 cm and CF=5 cm.
asked
Jun 18, 2021
in
Mathematics Form 4
by
anony mous
three dimensional geometry
angles
common solids
0
votes
1
answer
Expand the expression (1- 3/10 x)5 in ascending powers of x, leaving coefficient as fractions in their lowest form.
asked
Jun 18, 2021
in
Mathematics Form 3
by
anony mous
binomial expansion
fractions
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votes
1
answer
Given that sin 75° = -6+√2 Simplify 4 Sin75°
asked
Jun 18, 2021
in
Mathematics Form 2
by
anonymous
trigonometry
0
votes
1
answer
The sum of the first two terms of an increasing Geometric Progression (GP) is 20. The sum of the second tem and the third term of the same GP is 30. Determine the common ratio of the GP.
asked
Jun 18, 2021
in
Mathematics Form 1
by
anonymous
sequences and series
geometric progression
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