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- A rostrum is made by cutting off the upper part of a cone along a plane parallel to the base at 2/3 up the height....(Solved)
A rostrum is made by cutting off the upper part of a cone along a plane parallel to the base at 2/3 up the height. What
fraction of the volume of the cone does the rostrum represent?
Date posted: May 10, 2019. Answers (1)
- Find the value of x which satisfy the equation.(Solved)
Find the value of x which satisfy the equation.
52x - 6 × 5x + 5 = 0
Date posted: May 10, 2019. Answers (1)
- Angle of 1.8c at the centre of a circle subtends an arc off 46.38cm. Find the area of the arc encloses and the radius.(Solved)
Angle of 1.8c at the centre of a circle subtends an arc off 46.38cm. Find the area of the arc encloses and the radius.
Date posted: May 10, 2019. Answers (1)
- Expand the expression.(Solved)
Expand the expression.
Date posted: May 10, 2019. Answers (1)
- The figure below shows triangle PQR in which PR = 12cm. T is a point on PR such that TR =4cm. Line ST is parallel...(Solved)
The figure below shows triangle PQR in which PR = 12cm. T is a point on PR such that TR =4cm. Line ST is parallel to
QR. If the area of triangle PQR is 336cm². Find the area of the quadrilateral STQR.
Date posted: May 10, 2019. Answers (1)
- Solve the simultaneous equations(Solved)
Solve the simultaneous equations
Date posted: May 10, 2019. Answers (1)
- Without using mathematical tables or a calculator evaluate.(Solved)
Without using mathematical tables or a calculator evaluate.
Date posted: May 10, 2019. Answers (1)
- The points P, Q and R lie on a straight line. The position vectors of P and R are 2i+ 6j + 13k and 5i...(Solved)
The points P, Q and R lie on a straight line. The position vectors of P and R are 2i+ 6j + 13k and 5i – 3j + 4k
respectively. Find
(i) the position vector of Q
(ii) the length of PQ
Date posted: May 10, 2019. Answers (1)
- In the figure given below RN and MS are chords of a circle that meet at an external point P. PQ is a tangent to...(Solved)
In the figure given below RN and MS are chords of a circle that meet at an external point P. PQ is a tangent to the circle
at Q. PR = 2cm, PN = 12cm and PM = 3cm.
Calculate the length of:
(i) PS
(ii) PQ
Date posted: May 10, 2019. Answers (1)
- Find the equation of a tangent to the curve y = x3 – 2x2 + 3x – 1 at x = 2(Solved)
Find the equation of a tangent to the curve y = x3 – 2x2 + 3x – 1 at x = 2
Date posted: May 10, 2019. Answers (1)
- Presently a machine costs KSh. 364,000. What was its cost 5 years ago, if it depreciated at 12% per year(Solved)
Presently a machine costs KSh. 364,000. What was its cost 5 years ago, if it depreciated at 12% per year
Date posted: May 10, 2019. Answers (1)
- Find the centre and radius of a circle whose equation is x2 + y2– 4x + 6y – 3 = 0(Solved)
Find the centre and radius of a circle whose equation is x2 + y2– 4x + 6y – 3 = 0
Date posted: May 10, 2019. Answers (1)
- A piece of forest is in form of a triangle as shown below. Calculate its perimeter to the nearest metre.(Solved)
A piece of forest is in form of a triangle as shown below. Calculate its perimeter to the nearest metre.
Date posted: May 10, 2019. Answers (1)
- If 4x2 + 8x + (k-3) is a perfect square, find the value of k.(Solved)
If 4x2 + 8x + (k-3) is a perfect square, find the value of k.
Date posted: May 10, 2019. Answers (1)
- Make m the subject of the formula.(Solved)
Make m the subject of the formula.
Date posted: May 10, 2019. Answers (1)
- In this question, show all steps in your calculations, giving your answers at each stage. Use logarithms correct to 4
decimal places to evaluate;(Solved)
In this question, show all steps in your calculations, giving your answers at each stage. Use logarithms correct to 4
decimal places to evaluate;
Date posted: May 10, 2019. Answers (1)
- A train is travelling on straight railway. It passes through Kijabe railway station at t = 0 with velocity v = 70km/h. The
acceleration after passing...(Solved)
A train is travelling on straight railway. It passes through Kijabe railway station at t = 0 with velocity v = 70km/h. The
acceleration after passing through Kijabe is given by 4t – 8.
(a) Find an expression for its velocity.
(b) Calculate
(i) the average velocity between t = 1 and t = 3.
(ii) the distance covered by the train in the third hour.
Date posted: May 10, 2019. Answers (1)
- The marks scored by a group of pupils in a Mathematics test were as recorded in the table below.(Solved)
The marks scored by a group of pupils in a Mathematics test were as recorded in the table below.
(a) State the modal class.
(b) Calculate:
(i) the median
(ii) the mean
Date posted: May 10, 2019. Answers (1)
- Milk in a cool factory is stored in a rectangular tank whose internal dimensions are 1.7m by 1.4m by 2.2m. On one day
the tank was...(Solved)
Milk in a cool factory is stored in a rectangular tank whose internal dimensions are 1.7m by 1.4m by 2.2m. On one day
the tank was 75% full of milk.
(a) Calculate the volume of milk in the tank in litres.
(b) The milk is packed in small packets which are in the shape of a right pyramid on an equilateral triangle of side
16cm. The height of each packet is 13.6cm. Each packet is sold at Sh. 30. Calculate:-
(i) the volume of milk in milliliters in each packet to 2 significant figures.
(ii) the exact amount of money that was realized from the sale of all packets of milk.
Date posted: May 10, 2019. Answers (1)
- In an n-sided polygon two angles are right angles and each of the remaining angles is 1500.(Solved)
In an n-sided polygon two angles are right angles and each of the remaining angles is 1500.
(a) Find the value of n and hence the sum of the interior angles of this polygon.
(b) Name the polygon.
(c) Find the area of a regular octagon of sides 4cm giving answer correct to 4 significant figures.
Date posted: May 10, 2019. Answers (1)