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Water and alcohol are mixed in the ratio 1:4. If the density of water and alcohol are 1g/cm3 and 0.8g/cm3 respectively. Find the density of...
(Solved)
Water and alcohol are mixed in the ratio 1:4. If the density of water and alcohol are 1g/cm3 and 0.8g/cm3 respectively. Find the density of the mixture.
Date posted:
October 11, 2019
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Answers (1)
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Two fair dice one a regular tetrahedron (4 faces) and the other a cube are thrown. The scores are added together. show all possible outcomes.
a)Find...
(Solved)
Two fair dice one a regular tetrahedron (4 faces) and the other a cube are thrown. The scores are added together. show all possible outcomes.
a)Find the probability that:
i) The sum is 6.
ii) The sum is an odd number.
iii)The sum is 6 or 9.
b)If a player wins a game by throwing a sum of 6 or 9, draw a tree diagram and use it to find
probability that he wins at least once when the dice are thrown twice
Date posted:
October 9, 2019
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Answers (1)
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The above diagram represents a wooden prism. ABCD is a rectangle. Points E and F are directly below C and B respectively. M is the...
(Solved)

The above diagram represents a wooden prism. ABCD is a rectangle. Points E and F are directly below C and B respectively. M is the midpoint of CD. AB = 8cm, BC = 10cm and CE = 4.5cm.
a)The size of angle CDE.
b) Calculate:
i) Length of AC.
ii) The angle CAE makes with the plane ADEF.
c) Find the:
i) Length of MB.
ii) Angle CBM.
Date posted:
October 9, 2019
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Answers (1)
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Make P the subject of the formula XYP = QPX
(Solved)
Make P the subject of the formula XYP = QPX
Date posted:
October 9, 2019
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Answers (1)
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A straight line passes through points (8, -2) and (4, -4)
a)Write its equation in the form ax + by + c = 0 where a,...
(Solved)
A straight line passes through points (8, -2) and (4, -4)
a)Write its equation in the form ax + by + c = 0 where a, b and c are integers.
b)If the line in (a) above cuts the x axis at point P, determine the coordinates of P.
c)Another line which is perpendicular to the line in (a) above passes through point P and cuts the
Y axis at the point Q. Determine the co-ordinates of point Q.
d)Find the length of QP.
Date posted:
October 9, 2019
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Answers (1)
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A passenger noticed that he had forgotten his bag in a bus 12 minutes after the bus had left. To catch up with the bus,...
(Solved)
A passenger noticed that he had forgotten his bag in a bus 12 minutes after the bus had left. To catch up with the bus, he immediately took a taxi which travelled 95km/h. The bus maintained an average speed of 75km/h.
Determine:
a)The distance covered by the bus in 12 minutes.
b)The distance covered by the taxi to catch up with the bus.
Date posted:
October 9, 2019
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Answers (1)
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A seven sided figure has three of its angles equal to x and the other angles are (2x - 30), (x + 28), 3(x -...
(Solved)
A seven sided figure has three of its angles equal to x and the other angles are (2x - 30), (x + 28), 3(x - 4) and (126 -x). Find the value of x.
Date posted:
October 9, 2019
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Answers (1)
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Given that Cos A = 5/13 and Angle A is acute, find the value of 2tan A + 3 Sin A.
(Solved)
Given that Cos A = 5/13 and Angle A is acute, find the value of 2tan A + 3 Sin A.
Date posted:
October 9, 2019
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Answers (1)
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A point (-3, 2) is the image of a point (7,4) after a reflection. Find the mirror line.
(Solved)
A point (-3, 2) is the image of a point (7,4) after a reflection. Find the mirror line.
Date posted:
October 9, 2019
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Answers (1)
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In the figure below AB is parallel to DE. Find the value of x and y.
(Solved)
In the figure below AB is parallel to DE. Find the value of x and y.

Date posted:
October 9, 2019
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Answers (1)
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Complete the table below, for the function y =2x2 + 4x - 3.
(Solved)
a) Complete the table below, for the function y =2x2 + 4x - 3.

b) On the grid provided, draw the graph of y=2x2 + 4x - 3 for -4<= x<= 2 and use the graph to estimate the roots of the equation to 1 decimal place.
c) In order to solve graphically 2x2 + x – 5 = 0, a straight line must be drawn to intersect the curve y = 2x2 + 4x – 3. Determine the equation of the straight line and draw it, hence obtain the roots of the equation 2x2 + x - 5 = 0 to 1 decimal place.
Date posted:
October 8, 2019
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Answers (1)
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A youth group decided to raise Kshs. 480,000 to buy a piece of land costing Kshs. 80,000 per hectare. Before the actual payment was made,...
(Solved)
A youth group decided to raise Kshs. 480,000 to buy a piece of land costing Kshs. 80,000 per hectare. Before the actual payment was made, four of the members pulled out and each of those remaining had to pay an additional Kshs. 20,000.
a)If the original number of the group members was x write down
i)An expression of how much each was to contribute originally
ii)An expression of how much the remaining members were to contribute after four pulled out.
b)Determine the number of members who actually contributed towards the purchase of the land
c)Calculate the ratio of the supposed original contribution to the new contribution
d)If the land was sub-divided equally , find the size of land each member got
Date posted:
October 7, 2019
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Answers (1)
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Samatha and Meshi entered into a business partnership in which they contributed Kshs. 120,000 and Kshs. 150,000 every year respectively. After one year Fuki ...
(Solved)
Samatha and Meshi entered into a business partnership in which they contributed Kshs. 120,000 and Kshs. 150,000 every year respectively. After one year Fuki joined the business and contributed Kshs. 90,000
a)Calculate the ratio of their investment after 3 years of business
b)It was agreed that 30% of the profits after 3 years be used to cater for the cost of running the business, while the remaining would be shared proportionally. Calculate each persons share if the profit made after three years was Kshs, 187,000.
c)If each of them invested their shares in the business, find their new individual investments at the beginning of the fourth year.
Date posted:
October 7, 2019
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Answers (1)
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Mrs. Wekesa paid Kshs. 12500 for a wrist watch after the shopkeeper gave her a discount of 2%. If the shopkeeper made a profit of...
(Solved)
Mrs. Wekesa paid Kshs. 12500 for a wrist watch after the shopkeeper gave her a discount of 2%. If the shopkeeper made a profit of 20% calculate the price the shopkeeper bought from the manufacturer.
Date posted:
October 7, 2019
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Answers (1)
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Solve for x in
(4/9)x x (8)1-x = 486
(Solved)
Solve for x in
(4/9)x x (8)1-x = 486
Date posted:
October 7, 2019
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Answers (1)
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Use the exchange rates below to answer this question
Buying selling
...
(Solved)
Use the exchange rates below to answer this question
Buying selling
1 US dollar 63.00 63.20
1 UK£ 125.30 125.95
A tourist arriving in Kenya from Britain had 9600 UK sterling pounds (£). He converted the pounds to Kenya shillings at a commission of 5%. While in Kenya he spent ¾ of this money. He changed the balance to US dollars after his stay. If he was not charged any commission for this last transaction, calculate to the nearest US dollars the amount he received.
Date posted:
October 7, 2019
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Answers (1)
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The scale of a map is given as 1:50,000
Find the actual area in hectares of a region represented by a triangle of sides 6cm by...
(Solved)
The scale of a map is given as 1:50,000
Find the actual area in hectares of a region represented by a triangle of sides 6cm by 7cm by 8cm (give your answer to the nearest whole number).
Date posted:
October 7, 2019
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Answers (1)
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3 pens and 5 exercise books cost Shs. 111. 4 pens and 3 exercise books cost Kshs 18 less.
Determine the cost of each item
(Solved)
3 pens and 5 exercise books cost Shs. 111. 4 pens and 3 exercise books cost Kshs 18 less.
Determine the cost of each item
Date posted:
October 7, 2019
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Answers (1)
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Evaluate 5 ½ -1 1/7 (1 1/5 + 9/10 ) + 1/3 of(2/3 ÷5/6)
(Solved)
Evaluate 5 ½ -1 1/7 (1 1/5 + 9/10 ) + 1/3 of(2/3 ÷5/6)
Date posted:
October 7, 2019
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Answers (1)
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Complete the table below for y=2 sin x and y= cos ½ x
(Solved)
Complete the table below for y=2 sin x and y= cos ½ x

Date posted:
September 30, 2019
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Answers (1)