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- The present ages of two children are 3 years and 5 years respectively. After how long will the sum of the squares of
their ages be...(Solved)
The present ages of two children are 3 years and 5 years respectively. After how long will the sum of the squares of
their ages be 130?
Date posted: May 9, 2019. Answers (1)
- Use logarithms to 4 d.p to evaluate:(Solved)
Use logarithms to 4 d.p to evaluate:
Date posted: May 9, 2019. Answers (1)
- Either by striding 48cm or 54cm, Joan takes an exact number of steps to cross the road. Find the least width of the road
in metres.(Solved)
Either by striding 48cm or 54cm, Joan takes an exact number of steps to cross the road. Find the least width of the road
in metres.
Date posted: May 9, 2019. Answers (1)
- The interior angles of an irregular polygon are 70° and 110° and the rest are each 144°. Determine the number of sides
of the polygon.(Solved)
The interior angles of an irregular polygon are 70° and 110° and the rest are each 144°. Determine the number of sides
of the polygon.
Date posted: May 9, 2019. Answers (1)
- The ratio of Omondi and Kamau’s earning was 4:3. Omondi’s earning rose to Sh. 22,800 after an increase of 14%.
Calculate the percentage increase in Kamau’s...(Solved)
The ratio of Omondi and Kamau’s earning was 4:3. Omondi’s earning rose to Sh. 22,800 after an increase of 14%.
Calculate the percentage increase in Kamau’s earnings given that the sum of their earnings was ksh 39600 of each got
an increment.
Date posted: May 9, 2019. Answers (1)
- Find a scalar K such that(Solved)
Find a scalar K such that
Date posted: May 9, 2019. Answers (1)
- Two trucks P and Q approach each other at 52km/h and 61km/h respectively. Truck P is 12.5m long and Q is 13m long.
If they are...(Solved)
Two trucks P and Q approach each other at 52km/h and 61km/h respectively. Truck P is 12.5m long and Q is 13m long.
If they are 5m apart how many seconds elapses before the two completely pass each other. Give your answer to 2d.p.
Date posted: May 9, 2019. Answers (1)
- A line L is perpendicular to 3y - 4x = 7. Determine the acute angle between L and the x-axis.(Solved)
A line L is perpendicular to 3y - 4x = 7. Determine the acute angle between L and the x-axis.
Date posted: May 9, 2019. Answers (1)
- Evaluate without using tables or a calculator.(Solved)
Evaluate without using tables or a calculator.
100-1.5 X 320.2
Date posted: May 9, 2019. Answers (1)
- a) Complete the table below for the values of sin 2x and 2 cos (x - 30o)(Solved)
a) Complete the table below for the values of sin 2x and 2 cos (x - 30o)
b) On the grid provided, use a suitable scale to draw the graphs of y = sin 2x and y = 2 cos (x - 30o)
for 0o ≤ x ≤ 180o
c) Using the graph in part (b) above.
i) Estimate the solution to the equation 2cos (x - 30o) - sin 2x = 0 for 0o ≤ x ≤ 180o
ii) Estimate the value of x for which 4 cos (x - 30o) + 3 = 0
Date posted: May 9, 2019. Answers (1)
- The table below shows marks scored by 40 candidates in an examination.(Solved)
The table below shows marks scored by 40 candidates in an examination.
a) Using an assumed mean of 45.5 estimate :
i) Mean
ii) Standard deviation
b) Calculate the quartile deviation.
Date posted: May 9, 2019. Answers (1)
- The sketch below shows curve y = 2x2 + 4x + 3 and a straight line intersecting the curve at points A and B.(Solved)
The sketch below shows curve y = 2x2 + 4x + 3 and a straight line intersecting the curve at points A and B.
If the x-intercepts is -3.5 and the y-intercept is 7, find :
a) the equation of the straight line.
b) the coordinates of A and B
c) the area of the shaded region
Date posted: May 9, 2019. Answers (1)
- In the figure below, ABCDEF is a wedge. BC = 6cm, DC = 8cm and ED = 15cm.(Solved)
In the figure below, ABCDEF is a wedge. BC = 6cm, DC = 8cm and ED = 15cm.
Find the :
a) length BE
b) angle between BE and the plane EDCF
c) angle between plane ABDE and the plane EDCF
d) volume of the wedge
Date posted: May 9, 2019. Answers (1)
- Mrs Mureithi has 20 acres of land. She intends to grow maize and beans. She requires sh.2000 to plant an acre of maize
and sh.4000 for...(Solved)
Mrs Mureithi has 20 acres of land. She intends to grow maize and beans. She requires sh.2000 to plant an acre of maize
and sh.4000 for an acre of beans. Twice the area to be planted with maize should not be less than one of beans. The
total capital available is sh.60000. The estimated profit is sh.5000 for an acre of maize and sh.7000 for an acre of
beans.
By letting x and y to represent the area to be planted with maize and beans respectively.
a) Find the inequalities to represent the information.
b) On the grid provided, represent the inequalities and show the region which satisfy the condition.
c) Determine the expected maximum profit.
Date posted: May 9, 2019. Answers (1)
- a) MNQR is a rectangle in which MN = 5cm and NQ = 8cm. Construct the locus of a point P within the rectangle
which is...(Solved)
a) MNQR is a rectangle in which MN = 5cm and NQ = 8cm. Construct the locus of a point P within the rectangle
which is such that P is equidistant from sides NM and NQ
c) The locus of P in (a) above cuts MR at T. Draw a circle whose centre O is equidistant from the three sides of
triangle MNT and its radius is OM
c) In rectangle MNQR above, construct the locus of a variable point V such that 40o ≤ QVR ≤ 90o
Date posted: May 9, 2019. Answers (1)
- A triangle PQR whose vertices are P(2, 2), Q(5, 3) and R(4, 1) is mapped onto triangle P1Q1R1 by a transformation
whose matrix is(Solved)
A triangle PQR whose vertices are P(2, 2), Q(5, 3) and R(4, 1) is mapped onto triangle P1Q1R1 by a transformation
whose matrix is
a) On the grid provided below, draw triangle PQR and triangle P1Q1R1
b) Triangle P1Q1R1 is mapped onto a triangle whose vertices are P11(-2, -2), Q11(-5, -3) and R11(-4, -1)
i) Draw triangle P11Q11R11 on the same grid.
ii) Find the matrix representing transformation that maps triangle P1Q1R1 onto triangle P11Q11R11
c) Describe the transformation that maps PQR onto triangle P11Q11R11
Date posted: May 9, 2019. Answers (1)
- In 2001 the salaries of Gitonga and Cherop were sh.252000 per annum and sh.216000 per annum respectively. Their
employers decided to increase their salaries as follows.
Gitonga’s...(Solved)
In 2001 the salaries of Gitonga and Cherop were sh.252000 per annum and sh.216000 per annum respectively. Their
employers decided to increase their salaries as follows.
Gitonga’s employer decided to give him fixed annual increments throughout his employment period, with first
increment in January 2002.Cherop’s employer decided to give her increments of 8% compounded annually throughout her employment period with the first increment in January 2002.
a) If Gitonga annual salary in 2009 was sh.346080, calculate his annual increment.
b) How much money in total did Gitonga earn from is salaries from 1st January 2001 to 31st December 2009 ?
c) Determine Cherop’s monthly salary of August 2009.
d) How much money in total did Cherop earn from her salaries from 1st January 2001 to 31st December 2009.
e) Determine the difference between Gitonga’s and Cherop’s average yearly earnings from 1st January 2001 to 31st
December 2009.
Date posted: May 9, 2019. Answers (1)
- In the figure below, AB is a diameter of the circle. Chord PQ intersects AB at N. BR which is a tangent to the circle...(Solved)
In the figure below, AB is a diameter of the circle. Chord PQ intersects AB at N. BR which is a tangent to the circle at B
meets PQ produced at R.
Given that PN = 14cm, NB = 5cm and BR = 6.5cm.
Calculate :
a) NR
b) AN
Date posted: May 9, 2019. Answers (1)
- Given OX = 4i + j + 3k and OY = 7i - 5j + k. If M is the mid-point of line XY, determine...(Solved)
Given OX = 4i + j + 3k and OY = 7i - 5j + k. If M is the mid-point of line XY, determine the modulus of XM.
Date posted: May 9, 2019. Answers (1)
- The table below is part of the tax table for monthly income for the year 2007.(Solved)
The table below is part of the tax table for monthly income for the year 2007.
In that year, Adan’s monthly gross tax was Ksh.2,885. Calculate his monthly income.
Date posted: May 9, 2019. Answers (1)