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- A two digit number is such that its value is equal four times the sum of its digits. If the digits
are interchanged, the new number...(Solved)
A two digit number is such that its value is equal four times the sum of its digits. If the digits
are interchanged, the new number formed exceeds two-thirds of the original number by 52.
Find the original number.
Date posted: August 6, 2019. Answers (1)
- Using a ruler and a pair of compasses only construct.
a) A line PQ, 8cm long. On the line construct triangle PQR such that angle QPR...(Solved)
Using a ruler and a pair of compasses only construct.
a) A line PQ, 8cm long. On the line construct triangle PQR such that angle QPR = 750 and
line PR = 7cm. measure line QR
b) Construct a circum circle of triangle PQR.
Date posted: August 6, 2019. Answers (1)
- A helicopter is stationed at an airport H on a bearing of 0600 and 800km from another
airport P. A third airport J is on a...(Solved)
A helicopter is stationed at an airport H on a bearing of 0600 and 800km from another
airport P. A third airport J is on a bearing of 1400 and 1200km from H.
a) Using a scale of 1cm rep. 100km.
(i) Show the relative positions of P, H and J
(ii) Determine the distance between P and J.
b) A jet flying at a speed of 1.035Km/hr left J towards P. The helicopter at H also took
off towards P at the same time. Find the speed at which the helicopter will fly so as to
arrive at P, 12 minutes later than the jet.
Date posted: August 6, 2019. Answers (1)
- A straight line passing through the points (8,-2) and (4,-4) has its equation in the form ax +
by + c = 0, where a, b...(Solved)
A straight line passing through the points (8,-2) and (4,-4) has its equation in the form ax +
by + c = 0, where a, b and c are integers.
a) Determine the numerical values of a, b and c.
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 Q. determine the coordinates of point Q.
d) Find the length of QP
Date posted: August 6, 2019. Answers (1)
- The figure below shows the graph of logy against logX(Solved)
The figure below shows the graph of logy against logX
If the law connecting x and y is of the form y = axb, where a and b are constants. Find the
values of a and b.
Date posted: August 6, 2019. Answers (1)
- The figure shows a circle centre O with line POS as a diameter. QOR is an equilateral
triangle and PT =ST. given that angle POQ =640,...(Solved)
The figure shows a circle centre O with line POS as a diameter. QOR is an equilateral
triangle and PT =ST. given that angle POQ =640, find the sizes of angle SPT and angle STR.
Date posted: August 6, 2019. Answers (1)
- A man invests Ksh. 24,000 in an account which pays 16% interest p.a. the interest is compounded quarterly. Find the amount in the account after...(Solved)
A man invests Ksh. 24,000 in an account which pays 16% interest p.a. the interest iscompounded quarterly. Find the amount in the account after 1 ½ years.
Date posted: August 6, 2019. Answers (1)
- Given the simultaneous equations:
5x + y = 19
-x + 3y = 9
Write down the equations in matrix form hence find the values of x and...(Solved)
Given the simultaneous equations:
5x + y = 19
-x + 3y = 9
Write down the equations in matrix form hence find the values of x and y.
Date posted: August 6, 2019. Answers (1)
- Use table of cubes and reciprocals to evaluate.(Solved)
Use table of cubes and reciprocals to evaluate.
Date posted: August 6, 2019. Answers (1)
- The figure below shows speed time graph of a journey. If total distance travelled in 80
second is 920m
i. Calculate the acceleration during the first 15...(Solved)
The figure below shows speed time graph of a journey. If total distance travelled in 80
second is 920m
a. Calculate the acceleration during the first 15 seconds.
b. The distance travelled in the final 40 seconds.
Date posted: August 6, 2019. Answers (1)
- The surface area of a spherical ball is increased by 21% after pressure was pumped in.
The surface area of a spherical ball is increased by...(Solved)
The surface area of a spherical ball is increased by 21% after pressure was pumped in.
(a) Find the circumference of the original ball if the one with increased pressure has a
circumference of 55cm.
(b) Calculate the percentage increase in volume of the ball.
Date posted: August 6, 2019. Answers (1)
- Solve for x in the equation(Solved)
Solve for x in the equation
Date posted: August 6, 2019. Answers (1)
- Wasike and Wanjala live 40km apart. Wasike starts cycling from his home at 8.00a.m
toward’s Wanjala’s house at 16km/h. Wanjala stars cycling towards Wasike’s house 30
minutes...(Solved)
Wasike and Wanjala live 40km apart. Wasike starts cycling from his home at 8.00a.m
toward’s Wanjala’s house at 16km/h. Wanjala stars cycling towards Wasike’s house 30
minutes later at 8km/h. what time did they meet.
Date posted: August 6, 2019. Answers (1)
- The actual area of an estate is 3510 hectares. The estate is represented by a rectangle
measuring 2.6cm by 1.5 cm on the map whose scale...(Solved)
The actual area of an estate is 3510 hectares. The estate is represented by a rectangle
measuring 2.6cm by 1.5 cm on the map whose scale is 1:n. Find the value of n.
Date posted: August 6, 2019. Answers (1)
- A teacher gave his form four class a quiz in mathematics which was marked out of 50
marks. The distribution of the marks was as shown...(Solved)
A teacher gave his form four class a quiz in mathematics which was marked out of 50
marks. The distribution of the marks was as shown in the table below.
Calculate the median of this class.
Date posted: August 6, 2019. Answers (1)
- The circle below whose area is 18.05 cm2 circumscribes a triangle ABC where AB = 6.3
cm, BC = 5.7 and AC = 4.8cm. Find the...(Solved)
The circle below whose area is 18.05 cm2 circumscribes a triangle ABC where AB = 6.3
cm, BC = 5.7 and AC = 4.8cm. Find the area of the shaded part.
Date posted: August 6, 2019. Answers (1)
- The hire purchase term of a cupboard is a deposit of Ksh. 4,400 and six monthly
instalments of ksh. 900 each. The hire purchase price is...(Solved)
The hire purchase term of a cupboard is a deposit of Ksh. 4,400 and six monthly
instalments of ksh. 900 each. The hire purchase price is 175% of the cost price while the
cash price is 25% more than the cost price. What is the cash price of the cupboard?
Date posted: August 6, 2019. Answers (1)
- A cold water tap can fill a bath in 10 minutes while a hot water tap can fill it in 8 minutes.
The drainage pipe can...(Solved)
A cold water tap can fill a bath in 10 minutes while a hot water tap can fill it in 8 minutes.
The drainage pipe can empty it in 5 minutes. The cold water and hot water taps are left
running for 4 minutes. After which all the three taps are left running. Find how long it
takes to fill the bath.
Date posted: August 6, 2019. Answers (1)
- Find the integral values of the following simultaneous linear inequalities.(Solved)
Find the integral values of the following simultaneous linear inequalities.
Date posted: August 6, 2019. Answers (1)
- Evaluate without using mathematical tables or calculators, the square root of(Solved)
Evaluate without using mathematical tables or calculators, the square root of
Date posted: August 6, 2019. Answers (1)