Get premium membership and access questions with answers, video lessons as well as revision papers.
- A cattle dip is 150cm wide and 12m long. The depth of the water increases uniformly from a shallow end of 60cm to a maximum...(Solved)
A cattle dip is 150cm wide and 12m long. The depth of the water increases uniformly from a shallow end of 60cm to a maximum of 6m.
(a)Find the volume of water that can be held by the full dip in litres
(b)If the dip is drained by a pipe of radius 15cm at the rate of 6m/l, how long will it take to drain a full dip?
Date posted: September 16, 2019. Answers (1)
- An equilateral triangle of sides 9cm is completely enclosed in a circle of radius rcm.Find the least value of r.(Solved)
An equilateral triangle of sides 9cm is completely enclosed in a circle of radius rcm.Find the least value of r.
Date posted: September 16, 2019. Answers (1)
- A variable u is partly constant and partly as the square of t. When t=2,u=0 and when t=1,u=3.Find
(a) the law connecting u and t.
(b) the value of...(Solved)
A variable u is partly constant and partly as the square of t. When t=2,u=0 and when t=1,u=3.Find
(a) the law connecting u and t.
(b) the value of u when t= 1/4
Date posted: September 16, 2019. Answers (1)
- In the fig.ABCDGH is a rectangular based wedge with AD=6cm and CD=15cm.The midpoint of AD is N and DG =GA=BH=HC =9cm.If GH =7cm, calculate the...(Solved)
In the fig.ABCDGH is a rectangular based wedge with AD=6cm and CD=15cm.The midpoint of AD is N and DG =GA=BH=HC =9cm.If GH =7cm, calculate the angle between planes ADG and the base ABCD.
Date posted: September 16, 2019. Answers (1)
- Find the area of the region enclosed by the curve y=x-6 and the line x=-1 and x-2. (Solved)
Find the area of the region enclosed by the curve y=x-6 and the line x=-1 and x-2.
Date posted: September 16, 2019. Answers (1)
- The position vector of A and B are a=4i+4j-6k and b =10i+4j+12k.D is a point on AB such that AD:DB is 2:1.Find the co-ordinates...(Solved)
The position vector of A and B are a=4i+4j-6k and b =10i+4j+12k.D is a point on AB such that AD:DB is 2:1.
Find the co-ordinates of D.
Date posted: September 16, 2019. Answers (1)
- Simplify by rationalizing the denominator leaving your answer in surd form. (Solved)
Simplify by rationalizing the denominator leaving your answer in surd form.
Date posted: September 16, 2019. Answers (1)
- Find the equation of the locus of all points equidistant from P and Q where P(6,9) and Q(0,-5)(Solved)
Find the equation of the locus of all points equidistant from P and Q where P(6,9) and Q(0,-5)
Date posted: September 16, 2019. Answers (1)
- Mama Jeru deposited sh.1850 for 18 months at an interest rate of 16% p.a compounded half yearly.
How much interest did she pay at the end...(Solved)
Mama Jeru deposited sh.1850 for 18 months at an interest rate of 16% p.a compounded half yearly.
How much interest did she pay at the end of the of the period?
Date posted: September 16, 2019. Answers (1)
- Find the percentage error in calculating the volume of a sphere radius 4.9cm.(Solved)
Find the percentage error in calculating the volume of a sphere radius 4.9cm.
Date posted: September 16, 2019. Answers (1)
- Find the equation of the normal to the curve y=2x2+3x+4 at x=2 (Solved)
Find the equation of the normal to the curve y=2x2+3x+4 at x=2
Date posted: September 16, 2019. Answers (1)
- Expand up to the fifth term
Hence use your expansion to evaluate (2.5)5 to 3dp(Solved)
Expand 
up to the fifth term
Hence use your expansion to evaluate (2.5)5 to 3dp
Date posted: September 16, 2019. Answers (1)
- In the figure below LM is a diameter of the circle and LMN is a straight line. The line PQR is a tangent to the...(Solved)
In the figure below LM is a diameter of the circle and LMN is a straight line. The line PQR is a tangent to the circle at Q.Angle NQR=320 and angle QML =500.
Calculate
(a) angle MQN
(b) angle QNM
Date posted: September 16, 2019. Answers (1)
- Make x the subject of the formula (Solved)
Make x the subject of the formula 
Date posted: September 16, 2019. Answers (1)
- Solve for t given that(Solved)
Solve for t given that 
Date posted: September 16, 2019. Answers (1)
- A shamba is in the shape of a parallelogram with the lengths of the adjacent sides being 12cm and 15cm.
If the area of the parallelogram...(Solved)
A shamba is in the shape of a parallelogram with the lengths of the adjacent sides being 12cm and 15cm.
If the area of the parallelogram is 72 cm2, find the angle between these two sides.
Date posted: September 16, 2019. Answers (1)
- Use logarithms only to evaluate.(Solved)
Use logarithms only to evaluate.
Date posted: September 16, 2019. Answers (1)
- The figure below shows a net of a solid figure. The dimensions AC = CB = BA = 5cm,AF 10cm and the triangles ABC and...(Solved)
The figure below shows a net of a solid figure. The dimensions AC = CB = BA = 5cm,AF 10cm and the triangles ABC and DEF are equilateral and equal.
(a) Taking BCDE as the base of the solid, draw a proportionately well labeled and dimensioned solid that can be made from the net.
(b) Name the solid arising from the net.
(c) Using the sketch, calculate;
i) the angle between line CF and the plane BCDE.
ii) the angle between lines BD and DF
iii) the angle between the planes BCDE and CDFA
Date posted: September 13, 2019. Answers (1)
- Complete the table below for the functions y = 2 sin (x – 300) and y = Cos 2x(Solved)
Complete the table below for the functions y = 2 sin (x – 300) and y = Cos 2x.
(a) On the same set of axes, draw the graphs of y = 2 Sin (x - 30) and y = cos 2x in
The range 00 < 3600
(b) Use your graph to solve the equation 2 sin (x - 300) = cos 2x
(c) State the,
(i) phase angle for the wave y = 2 Sin (x -30°)
(ii) period for the wave y = cos 2x.
Date posted: September 13, 2019. Answers (1)
- The relationship between two quantities x and y are suspected to be of the form y = abx + 2.1(Solved)
The relationship between two quantities x and y are suspected to be of the form y = abx + 2.1 where a and. b are constants. The table below show corresponding values of x and y.
a) By drawing a suitable straight line graph, estimate the values of a and b.
(b) Hence, determine the value of;
i) y when x is 13.2.
ii) x when y is 47.6.
Date posted: September 13, 2019. Answers (1)