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- 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)
- Three business partners Mogambi, Ouko and Memba contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000
respectively to start a business of matatu plying Kisii – Kisumu...(Solved)
Three business partners Mogambi, Ouko and Memba contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000
respectively to start a business of matatu plying Kisii – Kisumu route. The matatu carries 14 passengers with each
paying Sh. 250. The matatu makes 2 round trips everyday and is ever full. Each day Sh. 6000 is used to cover running
costs and wages.
(a) Calculate their profit per day.
(b) The matatu works for 25 days per month and is serviced every month at a cost of Sh. 10,000. Calculate their
monthly profit in June. (1 Month)
(c) The three partners agreed to save 40% of the profit, 24% to be shared in the ratio of their contribution and the
remaining to be shared equally. Calculate Ouko’s share in the month of July.
(d) The matatu developed a mechanical problem and they decided to sell it through an agent who charged a
commission of 5% on the selling price. Each partner received Sh. 475,000 from the agent after he had taken his
commission. Determine the price at which the agent sold the matatu.
Date posted: May 10, 2019. Answers (1)
- Form three inequalities that satisfy the un-shaded region.(Solved)
Form three inequalities that satisfy the un-shaded region.
Date posted: May 10, 2019. Answers (1)
- Three business partners: Kioko, Njau and Osiako are to share Sh. 12,000 in the ratio 5:6:x respectively. If Kioko
received Sh. 4000, determine the value of...(Solved)
Three business partners: Kioko, Njau and Osiako are to share Sh. 12,000 in the ratio 5:6:x respectively. If Kioko
received Sh. 4000, determine the value of x.
Date posted: May 10, 2019. Answers (1)
- ABCD is trapezium in which AB is parallel to DC, AB = 6cm, DC = 12cm, angle ADC = 400 and AD = 10cm. Calculate...(Solved)
ABCD is trapezium in which AB is parallel to DC, AB = 6cm, DC = 12cm, angle ADC = 400 and AD = 10cm. Calculate the
area of the trapezium.
Date posted: May 10, 2019. Answers (1)
- A straight line 1 passes through the point (3,-2) and is perpendicular to a line whose equation is 2y – 4x = 1. Find the
equation...(Solved)
A straight line 1 passes through the point (3,-2) and is perpendicular to a line whose equation is 2y – 4x = 1. Find the
equation of 1 in the form y = mx + c, where m and n are constants.
Date posted: May 10, 2019. Answers (1)
- Given that theta is an acute angle and (Solved)
Given that theta is an acute angle and 
find without using calculators or mathematical table, tan (90-x)0 .
Date posted: May 10, 2019. Answers (1)
- The sides of a rectangle are given as 4.2cm and 2.8m, each correct to one decimal place. Find the percentage error in
its area.(Solved)
The sides of a rectangle are given as 4.2cm and 2.8m, each correct to one decimal place. Find the percentage error in
its area.
Date posted: May 10, 2019. Answers (1)