- Two circles centres O and C have radii 7.2cm and 6.5cm respectively. The two circles intersect at P and Q and PQ
=10cm.(Solved)
Two circles centres O and C have radii 7.2cm and 6.5cm respectively. The two circles intersect at P and Q and PQ
=10cm.
(a) Find
(i) angle POQ
(ii)angle PCQ
(b) The area of the shaded part. Give answer to 4s.f.
(c) Express angle POQ in radians.
Date posted: May 9, 2019. Answers (1)
- A glass is in the shape of a frustum of a cone.(Solved)
A glass is in the shape of a frustum of a cone.
The bottom of the glass is a curve of radius 2cm. A father pours water into the glass to a height of 9cm, while the
surface of the water is a circle of radius 6cm.
(a) Calculate the volume of the water in the glass.
(b) The son who is playing with marbles drops two spherical balls into the water. The water level in the glass rises by
1.5cm as a result.
Calculate:
(i) the volume of one marble.
(ii) the radius of a marble.
Date posted: May 9, 2019. Answers (1)
- The equation of a curve is given by
y =x3- 5x2 + 2x + 9(Solved)
The equation of a curve is given by
y =x3- 5x2 + 2x + 9
(a) Find the gradient function of the curve and its value when x = -2.
(b) Determine
(i) the equation of the tangent to the curve at x = -2.
(ii) the equation of the normal to the curve at x = -2.
(c) The values of x at the turning points of the curve.
Date posted: May 9, 2019. Answers (1)
- The table below gives the marks scored by a group of students in an exam.(Solved)
The table below gives the marks scored by a group of students in an exam.
(a) Given that the mean mark was 32.125, find x.
(b) State the modal class.
(c) Calculate the interquartile range.
Date posted: May 9, 2019. Answers (1)
- In the figure below AOD is a diameter of the circle centre O. BC is a chord parallel to AD and FE is a
tangent to...(Solved)
In the figure below AOD is a diameter of the circle centre O. BC is a chord parallel to AD and FE is a
tangent to the circle at E.
Given that OF bisects angle AOB and M is the intersection of BC and OE and EBC = BOE = 20°. Giving reasons find the
following angles.
(i)angle COE
(ii) angle BEC
(iii)angle BEF
(iv)angle OMB
(v)angle OFE
Date posted: May 9, 2019. Answers (1)
- (a) Complete the table below for y = 8 - 10x - 3x2.(Solved)
(a) Complete the table below for y = 8 - 10x - 3x2.
(b) On the grid provided, draw the graph of y = 8 - 10x -3x2
(c) State the equation of the line of symmetry of y = 8 - 10x - 3x2
(d) Use your graph to solve:
(i) 3x2+ 10x - 8 = 0
(ii) 3x2+ 11x + 6 = 0
Date posted: May 9, 2019. Answers (1)
- A ship sails from A to D through B and C. B is 500km on a bearing of N50°E from A. C is on a...(Solved)
A ship sails from A to D through B and C. B is 500km on a bearing of N50°E from A. C is on a bearing of 340° from B and
at a distance of 620km. The bearings of D from A and C are N20°W and 560°W respectively.
(a) Using the scale 1cm to rep 100km, show the relative positions of A, B, C and D.
(b) Find the distance of D from:
(i) A
(ii) C
(c) Find the bearing of D from B.
(d) If the ship was sailing at an average of 500km/h. Find how long the journey took. Give the
answer to the nearest hour.
Date posted: May 9, 2019. Answers (1)
- Evaluate the following expression (Solved)
Evaluate the following expression
Date posted: May 9, 2019. Answers (1)
- Given that 5x = 4y, evaluate(Solved)
Given that 5x = 4y, evaluate
Date posted: May 9, 2019. Answers (1)
- A car dealer buys a car for Ksh 1,500,000 and hires it for 24 weeks at a charge of ksh 3000 per
day. Insurance costs Ksh...(Solved)
A car dealer buys a car for Ksh 1,500,000 and hires it for 24 weeks at a charge of ksh 3000 per
day. Insurance costs Ksh 42,000 during the entire period. He sold the car through a dealer at
sh 800,000. If the dealer was paid a commission of 2½% calculate the percentage profit made.
Date posted: May 9, 2019. Answers (1)
- Find a 2 x 2 matrix m such that;(Solved)
Find a 2 x 2 matrix m such that;
Date posted: May 9, 2019. Answers (1)
- The angle of elevation of the top of a flag post from a point A on the level ground is 12°. The angle of elevation...(Solved)
The angle of elevation of the top of a flag post from a point A on the level ground is 12°. The angle of elevation of the top
of the flag post from another point B nearer to the flag post and 98m away from A is 34°. B is in between A and the
bottom of the flag post and the three points are collinear. Find the height of the flag post to the nearest metre.
Date posted: May 9, 2019. Answers (1)
- Pamba bought 4 mobile phones and 2 laptops for ksh, 108,000. Rebecca bought 3 mobile phones and 5 laptops from the same shop for ksh...(Solved)
Pamba bought 4 mobile phones and 2 laptops for ksh, 108,000. Rebecca bought 3 mobile phones and 5 laptops from the same shop for ksh 228,000. How much will Juma pay for one mobile phone and 2 laptops.
Date posted: May 9, 2019. Answers (1)
- 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)