-
Three variables p, q and r are such that p varies directly as q and inversely as the square of r.
(a) When p = 18,...
(Solved)
Three variables p, q and r are such that p varies directly as q and inversely as the square of r.
(a) When p = 18, q = 24 and r = 4.Find p when q = 30 and r = 10.
(b) Express q in terms of p and r.
(c) If p is increased by 20% and r is decreased by 10% find:
(i) A simplified expression for the change in q in terms of p and r.
(ii) The percentage change in q.
Date posted:
August 27, 2019
.
Answers (1)
-
A spherical solid lead of diameter 12cm weighs 6.4kg. How much would a similar solid of a diameter 10cm weigh?
(Solved)
A spherical solid lead of diameter 12cm weighs 6.4kg. How much would a similar solid of a diameter 10cm weigh?
Date posted:
August 27, 2019
.
Answers (1)
-
The LCM of two numbers is 328,600 and the GCD is 20. If one of the numbers is 1240, use prime factorization method, find the...
(Solved)
The LCM of two numbers is 328,600 and the GCD is 20. If one of the numbers is 1240, use prime factorization method, find the other number.
Date posted:
August 27, 2019
.
Answers (1)
-
Solve for x in sin (x-15)-cos(x+5)=15
(Solved)
Solve for x in sin (x-15)-cos(x+5)=15
Date posted:
August 27, 2019
.
Answers (1)
-
The data below represents the ages in months at which 6 babies started walking; 9, 11, 12, 13, 11 and 10. Without using a calculator,...
(Solved)
The data below represents the ages in months at which 6 babies started walking; 9, 11, 12, 13, 11 and 10. Without using a calculator, find the exact value of the variance of the data.
Date posted:
August 27, 2019
.
Answers (1)
-
Three warships P, Q and R leave port X at 9:00am. Ship P sails at a steady speed on a bearing of 070°, 100km from...
(Solved)
Three warships P, Q and R leave port X at 9:00am. Ship P sails at a steady speed on a bearing of 070°, 100km from port X, while ship Q sails on a bearing of 320°, 80km from X. Ship R is on a bearing of 150° from port X and due south of ship P.
a) Using a ruler and compasses only construct a scale drawing to show the position of P,Q,R and X
b) Use the scale drawing to determine
i) the distance and bearing of ship P from ship Q
ii) the distance of ship R from port X
iii) the distance of ship R from ship P
Date posted:
August 27, 2019
.
Answers (1)
-
Use logarithm tables to evaluate
(Solved)
Use logarithm tables to evaluate

Date posted:
August 27, 2019
.
Answers (1)
-
Two variables P and L are such that P varies partly as L and partly varies as the square root of L. Determine the relationship...
(Solved)
Two variables P and L are such that P varies partly as L and partly varies as the square root of L. Determine the relationship between P and L given that L = 16 when P = 500 and L = 25 when P = 800.
Date posted:
August 27, 2019
.
Answers (1)
-
Complete the table below for the function y=7 + 2x— 2x2 for the range -3= x = 4.
(Solved)
(a) Complete the table below for the function y=7 + 2x— 2x2 for the range -3= x = 4.

(b) (i) On the grid provided draw the graph of y=7 + 2x— 2x2 .
Take the scale:2 cm to represent 1 unit on x- axis
1 cm to represent 1 unit on y- axis
(ii) Use your graph to estimate the roots of 7 + 2x— 2x2 = 0.
(c) (i) By drawing a suitable line on the same axes in (b) above solve the equation
9 + 5x— 2x2 = 0
(ii) State the co-ordinates of the turning point
Date posted:
August 27, 2019
.
Answers (1)
-
A point (-5, 4) is mapped onto (-1, -1) by a translation T. Find the image of (-4, 5) under the same translation.
(Solved)
A point (-5, 4) is mapped onto (-1, -1) by a translation T. Find the image of (-4, 5) under the same translation.
Date posted:
August 27, 2019
.
Answers (1)
-
A trader purchases four 25kg bags of sugar and packages the sugar in 2kg, 1kg and 0.5kg packs to be sold in retail. The trader...
(Solved)
A trader purchases four 25kg bags of sugar and packages the sugar in 2kg, 1kg and 0.5kg packs to be sold in retail. The trader does the packaging in a ratio of 3:2:5 respectively. He makes a profit of Kshs 10 for every 2kg pack, Kshs 8 for the 1kg pack and Kshs 6 for the 0.5kg pack.
(a) Determine;
(i) The number of packets the trader made for each type of package.
(ii) The profit he will make if the wholesale price of a 25kg bag of sugar is Kshs 2000
(iii) The selling price of each type of package.
(b) Determine his percentage profit.
Date posted:
August 27, 2019
.
Answers (1)
-
Two similar containers have capacities of 1000 litres and 1728 litres respectively. If it costs Ksh.750 to paint the outside surface of the smaller container,...
(Solved)
Two similar containers have capacities of 1000 litres and 1728 litres respectively. If it costs Ksh.750 to paint the outside surface of the smaller container, how much will it cost to paint the outside of the larger container.
Date posted:
August 27, 2019
.
Answers (1)
-
Two alloys Y and Z are each made up of zinc, tin and copper. In alloy Y, the ratio of zinc to tin is 2:5...
(Solved)
Two alloys Y and Z are each made up of zinc, tin and copper. In alloy Y, the ratio of zinc to tin is 2:5 and the ratio of copper to tin is 4:3. Determine the ratio, copper: zinc: tin in alloy Y.
Date posted:
August 27, 2019
.
Answers (1)
-
Obtain the binomial expansion of (1 - 2x)5 and use your expansion to evaluate (0.98)5 correct to 5d.p.
(Solved)
Obtain the binomial expansion of (1 - 2x)5 and use your expansion to evaluate (0.98)5 correct to 5d.p.
Date posted:
August 27, 2019
.
Answers (1)
-
A bus left Nairobi and travelled towards Busia at an average speed of 90km/hr. After2 2/9 hours, a car left Nairobi and travelled along the...
(Solved)
A bus left Nairobi and travelled towards Busia at an average speed of 90km/hr. After 2 2/9 hours, a car left Nairobi and travelled along the same road at an average speed of 170km/hr. If the distance between Nairobi and Busia is 800km, Determine the distance the car travelled to catch up with the bus.
Date posted:
August 27, 2019
.
Answers (1)
-
In the figure below OAB is a triangle, OA = a, OB = b. Point M lies on AB such thatAM : MB = 1:3...
(Solved)
In the figure below OAB is a triangle, OA = a, OB = b. Point M lies on AB such that AM : MB = 1:3 and N lies on OB such that OB : BN = 7: - 5. Line OM and AN intersect at X.

a) Express in terms of a and b;
(i) OM
(ii) AN
b) Given that OX=kOM and AX=hAN where k and h are scalars.
(i) Write down two expressions for OX in terms of a, b, h and k.
(ii) Find the values of h and k.
(iii) Determine the ratio in which X divides AN.
Date posted:
August 27, 2019
.
Answers (1)
-
In the figure below O is the centre of the circle. A, B, C and D are points on the circumference of the circle. A,...
(Solved)
In the figure below O is the centre of the circle. A, B, C and D are points on the circumference of the circle. A, O, X,C and E are on a straight line. DE is a tangent to the circle at D. Angle BOC = 480 and angle CAD = 360

a) Find the value of;
(i) Angle CBA.
(ii) Angle BDE.
(iii) Angle CED.
b) If AX = 12cm, XC = 4cm, DB = 14cm and DE = 15cm. Calculate;
(i) DX.
(ii) AE.
Date posted:
August 27, 2019
.
Answers (1)
-
The boats X, Y and Z are such that Y is 500km on a bearing of 0300 from X. Z is 750km from Y and...
(Solved)
The boats X, Y and Z are such that Y is 500km on a bearing of 0300 from X. Z is 750km from Y and on a bearing of 1400 from X. Calculate;
a) The distance of Z from X.
b) The bearing of X from Z.
c) The shortest distance from X to the direct route between Y and Z.
d) Boat S is sighted 900km due east of Y. Calculate the distance of S from Z.
Date posted:
August 27, 2019
.
Answers (1)
-
A bucket is in the shape of a frustum with a base radius 14 cm and top radius 21 cm. The height of the bucket...
(Solved)
A bucket is in the shape of a frustum with a base radius 14 cm and top radius 21 cm. The height of the bucket is 20 cm as shown below. The bucket contains water to a depth of 10 cm.

a) Calculate the volume of the water in the bucket.
b) All the water is poured into a cylindrical container of radius 14 cm. If the height of the cylinder is 30 cm, calculate the internal surface area of the cylinder which is not in contact with the water.
Date posted:
August 27, 2019
.
Answers (1)
-
In the figure below, angle ACD = angle ABC. AD = 12cm, AC = 18cm and BC = 21cm. Find the length of BD and...
(Solved)
In the figure below, angle ACD = angle ABC. AD = 12cm, AC = 18cm and BC = 21cm. Find the length of BD and DC.

Date posted:
August 27, 2019
.
Answers (1)