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If 4x2 + 8x + (k-3) is a perfect square, find the value of k.
(Solved)
If 4x2 + 8x + (k-3) is a perfect square, find the value of k.
Date posted:
May 10, 2019
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Answers (1)
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The marks scored by a group of pupils in a Mathematics test were as recorded in the table below.
(Solved)
The marks scored by a group of pupils in a Mathematics test were as recorded in the table below.
(a) State the modal class.
(b) Calculate:
(i) the median
(ii) the mean
Date posted:
May 10, 2019
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Answers (1)
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Milk in a cool factory is stored in a rectangular tank whose internal dimensions are 1.7m by 1.4m by 2.2m. On one day
the tank was...
(Solved)
Milk in a cool factory is stored in a rectangular tank whose internal dimensions are 1.7m by 1.4m by 2.2m. On one day
the tank was 75% full of milk.
(a) Calculate the volume of milk in the tank in litres.
(b) The milk is packed in small packets which are in the shape of a right pyramid on an equilateral triangle of side
16cm. The height of each packet is 13.6cm. Each packet is sold at Sh. 30. Calculate:-
(i) the volume of milk in milliliters in each packet to 2 significant figures.
(ii) the exact amount of money that was realized from the sale of all packets of milk.
Date posted:
May 10, 2019
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Answers (1)
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In an n-sided polygon two angles are right angles and each of the remaining angles is 1500.
(Solved)
In an n-sided polygon two angles are right angles and each of the remaining angles is 1500.
(a) Find the value of n and hence the sum of the interior angles of this polygon.
(b) Name the polygon.
(c) Find the area of a regular octagon of sides 4cm giving answer correct to 4 significant figures.
Date posted:
May 10, 2019
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Answers (1)
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Three business partners Mogambi, Ouko and Memba contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000
respectively to start a business of matatu plying Kisii – Kisumu...
(Solved)
Three business partners Mogambi, Ouko and Memba contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000
respectively to start a business of matatu plying Kisii – Kisumu route. The matatu carries 14 passengers with each
paying Sh. 250. The matatu makes 2 round trips everyday and is ever full. Each day Sh. 6000 is used to cover running
costs and wages.
(a) Calculate their profit per day.
(b) The matatu works for 25 days per month and is serviced every month at a cost of Sh. 10,000. Calculate their
monthly profit in June. (1 Month)
(c) The three partners agreed to save 40% of the profit, 24% to be shared in the ratio of their contribution and the
remaining to be shared equally. Calculate Ouko’s share in the month of July.
(d) The matatu developed a mechanical problem and they decided to sell it through an agent who charged a
commission of 5% on the selling price. Each partner received Sh. 475,000 from the agent after he had taken his
commission. Determine the price at which the agent sold the matatu.
Date posted:
May 10, 2019
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Answers (1)
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The length of a rectangle is (3x+1)cm. Its width is 3cm shorter than the length. Given that area of the rectangle is
28cm2, find its length.
(Solved)
The length of a rectangle is (3x+1)cm. Its width is 3cm shorter than the length. Given that area of the rectangle is
28cm2, find its length.
Date posted:
May 10, 2019
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Answers (1)
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A water tank has a capacity of 70 litres. A similar model tank has a capacity of 0.25 litres. If the larger tank has a...
(Solved)
A water tank has a capacity of 70 litres. A similar model tank has a capacity of 0.25 litres. If the larger tank has a height
of 150cm, calculate the height of the model.
Date posted:
May 10, 2019
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Answers (1)
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In chemistry form 4 classes, 1/3 of the class are girls and the rest boys, 4/5 of the boys and 9/10 of the girls are...
(Solved)
In chemistry form 4 classes, 1/3 of the class are girls and the rest boys, 4/5 of the boys and 9/10 of the girls are right handed
while the rest are left handed. The probability that a right-handed student breaks a conical flask in any practical session is
3/10 and the corresponding probability of a left-handed student 4/10 . The probabilities are independent of the students
gender.
a) Represent the above information on a tree diagram with independent probabilities.
b) Determine the probability that student chosen at random form the class is left handed and does not break a conical flask in
simplest form.
c) Determine the probability that a conical flask is broken in any chemistry practical session in simplest
d) Determine the probability that a conical flask is not broken by a right-handed student in the simplest form.
Date posted:
May 9, 2019
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Answers (1)
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The velocity , Vm/s, of the particles projected into space is given by the formula: V = 5t² - 2t² + 9 where t is...
(Solved)
The velocity , Vm/s, of the particles projected into space is given by the formula: V = 5t² - 2t² + 9 where t is time in seconds
elapsed since projection,
Determine
a) The acceleration of the particle when t = 4
b) The value of t which minimises the acceleration.
c) The velocity of the particle when acceleration is minimum
d) The total distance moved by the particle between t = 1 to t = 4 seconds.
Date posted:
May 9, 2019
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Answers (1)
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Use a ruler and a pair of compass only in the constructions below:
(Solved)
Use a ruler and a pair of compass only in the constructions below:
a) Construct a triangle ABC such that AB = 4cm, BC = 5cm and angle ABC = 120°, measure AC.
b) On the same diagram
i) locate P the locus of a point equidistance from the three vertices of the triangle ABC and demonstrate this using a circle.
Measure the radius of the circle.
ii) On the same side of BC as A, construct Q the locus of points such that angle BQC = 120°.
iii) On the side of AC opposite point B construct R the locus of points 4cm from line AC.
iv) Within the circle shade the set of points such that Angle BQC ≥ 120°
Date posted:
May 9, 2019
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Answers (1)
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After how many years would Kshs 15,000 amount to Kshs 24,015.50 at a rate of 16% p.a. compounded quarterly?
(Solved)
After how many years would Kshs 15,000 amount to Kshs 24,015.50 at a rate of 16% p.a. compounded quarterly?
Date posted:
May 9, 2019
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Answers (1)
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Given that the dimensions of a rectangle are 12.0cm and 25.0cm. Find the percentage error in calculating the area.
(Solved)
Given that the dimensions of a rectangle are 12.0cm and 25.0cm. Find the percentage error in calculating the area.
Date posted:
May 9, 2019
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Answers (1)
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In the figure below QT is a tangent to a circle at Q. PXRT and QXS are straight lines. PX =6cm, RT=8cm, QX=4.8cm and XS...
(Solved)
In the figure below QT is a tangent to a circle at Q. PXRT and QXS are straight lines. PX =6cm, RT=8cm, QX=4.8cm and XS =
5cm.
Find the length of :
a) XR
b) QT
Date posted:
May 9, 2019
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Answers (1)
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Two types of tea which cost Kshs 200 per kg and Kshs 250 per kg are mixed so that their weights are in the ratio...
(Solved)
Two types of tea which cost Kshs 200 per kg and Kshs 250 per kg are mixed so that their weights are in the ratio 5 : 3
respectively. Calculate the cost of 20kg of the mixture.
Date posted:
May 9, 2019
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Answers (1)
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Make x the subject of the formula.
(Solved)
Make x the subject of the formula.
Date posted:
May 9, 2019
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Answers (1)
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Use logarithm table to evaluate to 4 decimal places.
(Solved)
Use logarithm table to evaluate to 4 decimal places.
Date posted:
May 9, 2019
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Answers (1)
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A right conical frustum of base radius 7cm, top radius 4cm and height 5cm is stuck onto a cylinder or base radius 7 cm and
height...
(Solved)
A right conical frustum of base radius 7cm, top radius 4cm and height 5cm is stuck onto a cylinder or base radius 7 cm and
height 6 cm and further attached to the hemisphere to form a closed solid as shown below. (Take pi = 22/7)
a) Find the volume of the solid.
b) Given that the mass or the solid is 2430g find its density.
Date posted:
May 9, 2019
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Answers (1)
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Three towns X, Y and Z are such that X is on a bearing of 120° and 20 km from Y. Town Z is on...
(Solved)
Three towns X, Y and Z are such that X is on a bearing of 120° and 20 km from Y. Town Z is on a bearing of 220o and 12km
from X.
a) Using a scale of 1cm to represent 2km, show the relative position of the places.
b) Find;
i) The distance between Y and Z
ii) The bearing of X from Z
iii) The bearing of Z from Y.
iv) The area of the figure bounded by XYZ.
Date posted:
May 9, 2019
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Answers (1)
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A bus left Kisumu for Nairobi at an average speed of 60km/hr. After 1½ hours another car left Kisumu for Nairobi along the
same route at...
(Solved)
A bus left Kisumu for Nairobi at an average speed of 60km/hr. After 1½ hours another car left Kisumu for Nairobi along the
same route at an average speed of 100km/hr. If the distance between Kisumu and Nairobi is 500km, determine:
a) i) The distance of the bus from Nairobi when the car took off.
ii) The distance the car travelled to catch up with the bus.
b) Immediately the car caught up with the bus, the car stopped for 25 minutes. Find the new average speed of which the car
travelled in order to reach Nairobi at the same time at the bus. (to the nearest whole number).
Date posted:
May 9, 2019
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Answers (1)
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A bus travelling at a an average speed of 63km/h, left the station at 8 : 15am. A car left the same station at 9:00...
(Solved)
A bus travelling at a an average speed of 63km/h, left the station at 8 : 15am. A car left the same station at 9:00 am and
caught up with the bus at 10:45. Find the average speed of the car.
Date posted:
May 9, 2019
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Answers (1)