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- In this question, show all the steps in your calculations, giving the answer at each stage. Use logarithms correct to decimal places, to evaluate.
(Solved)
In this question, show all the steps in your calculations, giving the answer at each stage. Use logarithms correct to decimal places, to evaluate.
Date posted: November 12, 2019.
- The speed of projectile v m/s at a given time t is given by v=10(10t-t2)(Solved)
The speed of projectile v m/s at a given time t is given by v=10(10t-t2) calculate
a. The time when the velocity is maximum
b. The maximum velocity attained
c. The distance traveled by the body in the first 6 seconds
d. The acceleration of the projectile at t=6.5sec
Date posted: November 12, 2019.
- (a) Complete the table below for the function y = 2x2 + 3x – 5.(b) On the grid provided draw the graph of y =...(Solved)
(a) Complete the table below for the function y = 2x2 + 3x – 5.
(b) On the grid provided draw the graph of y = 2x2 + 3x – 5 for -4 = x = 2
(c) Use your graph to state the roots of
(i) 2x2 + 3x – 5 = 0
(ii) 2x2 + 6x – 2 = 0
Date posted: November 12, 2019.
- Four towns A, B, C and D are such that B is 84km direct to the north of A and C is on a bearing...(Solved)
Four towns A, B, C and D are such that B is 84km direct to the north of A and C is on a bearing of N 65oW from A at a distance of 60km. D is on a bearing of 340o from C at a distance of 30km. Using a scale of 1 cm rep 10km
a) Make an accurate scale drawing showing the relative positions of the towns
b) Find the distance and bearing of B from C
c) Find the distance and bearing of D from B
d) Find the bearing of A from D
Date posted: November 12, 2019.
- The figure above shows two circles ABPQ and ABSR intersecting at A and B. QART, PBS and ABU are straight lines. The line TSU is...(Solved)
The figure above shows two circles ABPQ and ABSR intersecting at A and B. QART, PBS and ABU are straight lines. The line TSU is a tangent to the circle ABSR at S. Given that ˂BPQ = 80o, ˂PBU = 115o and ˂BUS = 70o.
Find & state reasons for the following angles
a) ˂BRS
b) ˂BSU
c) ˂STR
d) ˂BAR
e) ˂ARB
Date posted: November 12, 2019.
- (a). The price of an article is marked as sh.12,000. Mr. Mulmulwas sold the article at a discount of 10% and still made a profit...(Solved)
(a). The price of an article is marked as sh.12,000. Mr. Mulmulwas sold the article at a discount of 10% and still made a profit of 5%. Calculate the cost of the article.
(b). Mr. Mulmulwas made a loss of 30% by selling an electric kettle at sh.700. What profit would he have made if she had sold it at sh.1150?
(c). Mr. Mulmulwas is a real estate agent who is entitled to a commission on all properties bought through him. During a certain month he sold 2 mansions at sh. 2.54 million each, 4 flats at sh. 582,000 each and 5 bungalows at sh.354,000 each and he was paid a total commission of sh.458,900. Calculate the percentage rate of commission he was paid.
Date posted: November 12, 2019.
- Given A find AB.(Solved)
Given A 
find AB.
Date posted: November 12, 2019.
- Matrices P and Q are given by P = (3 1 2)and Q = (1 2 -1) Find the product PQ.(Solved)
Matrices P and Q are given by P = (3 1 2)and Q = (1 2 -1) Find the product PQ.
Date posted: November 12, 2019.
- Find all the integral values of ?? which satisfy the inequalities
20 - x > 5 + 2 x = x + 5(Solved)
Find all the integral values of x which satisfy the inequalities
20 − x > 5 + 2 x ≥ x + 5
Date posted: November 12, 2019.
- The angle of elevation of the top of a building from a point P is 45o. From another point T, 15 meters nearer the foot...(Solved)
The angle of elevation of the top of a building from a point P is 45o. From another point T, 15 meters nearer the foot of the building, the angle of elevation of the top of the building is 52o. Calculate the height of the building.
Date posted: November 12, 2019.
- Using tables, find the reciprocal of 0.432 and hence evaluate(Solved)
Using tables, find the reciprocal of 0.432 and hence evaluate 
Date posted: November 12, 2019.
- Solve the equation
3x × 3y = 1
22x-y - 64 = 0(Solved)
Solve the equation
3x × 3y = 1
22x−y − 64 = 0
Date posted: November 12, 2019.
- The figure below shows a solid wedge PQRSTU. Complete the solid showing all the hidden edges with dotted lines.(Solved)
The figure below shows a solid wedge PQRSTU. Complete the solid showing all the hidden edges with dotted lines.
Date posted: November 12, 2019.
- A Kenyan bank buys and sells foreign currency as shown in the table below.
A tourist arrived in Kenya with 15000 pounds which he converted into...(Solved)
A Kenyan bank buys and sells foreign currency as shown in the table below.
A tourist arrived in Kenya with 15000 pounds which he converted into Ksh at a commission of 8%.
He later used half of the money before changing the balance into dollars at no commission. Calculate
to the nearest dollar the amount he received.
Date posted: November 12, 2019.
- The sum of two numbers is 23 and their difference is 3. Find the sum of the squares of the two numbers.(Solved)
The sum of two numbers is 23 and their difference is 3. Find the sum of the squares of the two numbers.
Date posted: November 12, 2019.
- Simplify(Solved)
Simplify 
Date posted: November 12, 2019.
- The length of three wires are 36m, 48m and 72m. pieces of wire of equal lengths were cut from the three wires, calculate the least...(Solved)
The length of three wires are 36m, 48m and 72m. pieces of wire of equal lengths were cut from the three wires, calculate the least number of pieces obtained.
Date posted: November 12, 2019.
- Calculate the value of using factor notation.(Solved)
Calculate the value of 
using factor notation.
Date posted: November 12, 2019.
- Evaluate leaving your answer in simplified form(Solved)
Evaluate leaving your answer in simplified form
Date posted: November 12, 2019.
- (a) Using a ruler and a pair of compasses only. Construct triangle ABC in which AB = 5cm, BC = 4.5cm and BAC = 600
(b)...(Solved)
(a) Using a ruler and a pair of compasses only. Construct triangle ABC in which AB = 5cm, BC = 4.5cm and BAC = 600
(b) On the same side of AB as C:
(i) Determine the locus of a point P such that ∠APB=600
(ii) Construct the locus R such that AR ˃ 2cm
(iii) Determine the region T such that ACT ≥ BCT
Date posted: November 12, 2019.
- Two baskets X and Y contain identical balls except for the colors. Basket X contains 6 red balls and 3 black balls. Basket Y contains...(Solved)
Two baskets X and Y contain identical balls except for the colors. Basket X contains 6 red balls and 3 black balls. Basket Y contains 2 red balls and 3 black balls.
(a) If a ball is drawn at random from each basket, find the probability that both balls are of the same color.
(b) If two balls are drawn at random from each basket, one ball at a time without replacement, find the probability that:-
(i) The two balls drawn from basket X or basket Y are red.
(ii) All the four balls drawn are red.
Date posted: November 12, 2019.
- Mrs. Beth wants to buy a flat screen television set on hire purchase. The cash price is Kshs. 28,000. She can pay the cash price...(Solved)
Mrs. Beth wants to buy a flat screen television set on hire purchase. The cash price is Kshs. 28,000. She can pay the cash price or make a down payment of Kshs. 8,000 and 15 monthly instalments of Kshs. 2,000 each. Calculate the rate of compound interest charged per month.
Date posted: November 12, 2019.
- Under a transformation whose matrix y = a triangle whose area is 13.5cm2 is mapped on the triangle whose area is 54cm2. Find two...(Solved)
Under a transformation whose matrix y = 
a triangle whose area is 13.5cm2 is mapped on the triangle whose area is 54cm2. Find two possible values of x.
Date posted: November 12, 2019.
- Make r the subject in the formula:(Solved)
Make r the subject in the formula:
Date posted: November 12, 2019.
- Evaluate without using mathematical tables or calculators:
2 Log105 – ½ Log1016 + 2 Log1040(Solved)
Evaluate without using mathematical tables or calculators:
2 Log105 – ½ Log1016 + 2 Log1040
Date posted: November 12, 2019.
- Use logarithm table to evaluate:(Solved)
Use logarithm table to evaluate:
Date posted: November 12, 2019.
- (a) Fill the table below to 2 d.p for the curves given by y = 3 sin (2? + 30°) and y = Cos 2?...(Solved)
(a) Fill the table below to 2 d.p for the curves given by y = 3 sin (2χ + 30°) and y = Cos 2χ for χ values in the range O ≤ χ ≤ 180°.
(b) Draw the graphs of y = 3 Sin (2χ + 30°) and y= Cos 2χ on same axes.
Date posted: November 11, 2019.
- The displacement, s metres of a moving particle from a point O, after t seconds is given by,
s= t3-5t2+3t +10.
(a) Find s when t= 2...(Solved)
The displacement, s metres of a moving particle from a point O, after t seconds is given by,
s= t3-5t2+3t +10.
(a) Find s when t= 2
(b) Determine:
(i) the velocity of the particle when t= 5 seconds;
(ii) the value of t when the particle is momentarily at rest
(c) Find the time, when the velocity of the particle is maximum.
Date posted: November 11, 2019.
- Points A,B,C and D are situated on a horizontal plane such that B is 200m on a bearing of 065° from
A.C is 300m on a...(Solved)
Points A,B,C and D are situated on a horizontal plane such that B is 200m on a bearing of 065° from
A.C is 300m on a bearing of 120° from B and D is 150m due west of C. Using 1cm to rep 50m,
(a) Draw an accurate scale drawing representing positions ABC and D.
(b) From your drawing, Measure the distance and bearing of
(i) D from A.
(ii) B from D
(c) By construction, show the shortest distance from B to line AD.
Date posted: November 11, 2019.
- The figure below shows a sector of a circle. If the radius OA = 14cm and the angle AOB =720.
(a) Calculate the area of the...(Solved)
The figure below shows a sector of a circle. If the radius OA = 14cm and the angle AOB =720.
(a) Calculate the area of the sector.
(b) The sector is folded to form a cone. Calculate:-
(i) The radius of the cone formed.
(ii) The volume of the solid formed.
(c) A solid cone of same size in (b) above is melted down and casted into circular washers. Each washer
has an external diameter of 4cm, internal diameter of 1½ cm and 0.3cm thick. Calculate number of washers made.
Date posted: November 11, 2019.