- The figure below shows a wedge in which PQR and UXY are congruent right angled triangles. PQ = 8cm, QR = 5cm and RY =...(Solved)
The figure below shows a wedge in which PQR and UXY are congruent right angled triangles. PQ = 8cm, QR = 5cm and RY = 12cm.
(a) Calculate:
(i) the length of RU.
(ii) the angle the line RU makes with the plane PQVU.
(b) Find the angle between:-
(i) line PY and the plane QRYV.
(ii) the planes PQVU and PRYU.
Date posted: August 15, 2019. Answers (1)
- In the figure below, PQRSTU is a regular hexagon.
(a) Describe fully:
(i) a reflection that maps triangle SCR onto triangle STC.
(ii) an enlargement that maps...(Solved)
In the figure below, PQRSTU is a regular hexagon.
(a) Describe fully:
(i) a reflection that maps triangle SCR onto triangle STC.
(ii) an enlargement that maps triangle SCR on triangle PCU.
(iii) a rotation that maps triangle SCR to triangle TCU.
(b) The triangle PQC is reflected on the line RU. The image of triangle PQC under the reflection is then
rotated through an angle -120º about point C. Determine the images of P and Q:
(i) under the reflection.
(ii) after the two successive transformations.
Date posted: August 15, 2019. Answers (1)
- Nairobi and Eldoret are each 250km from Nakuru. At 8.15a.m, a lorry leaves Nakuru for Nairobi.
At 9.30am, a car leaves Eldoret for Nairobi via Nakuru...(Solved)
Nairobi and Eldoret are each 250km from Nakuru. At 8.15a.m, a lorry leaves Nakuru for Nairobi.
At 9.30am, a car leaves Eldoret for Nairobi via Nakuru at a speed of 100km/h. Both vehicles arrived
Nairobi at the same time.
(a) Calculate their time of arrival in Nairobi.
(b) Find the cars speed relative to that of the lorry.
(c) How far apart are the vehicles at 12.45pm.
Date posted: August 15, 2019. Answers (1)
- If the expression 25y² - 70y + (16 + K) is a perfect square; where K is a constant;find the value of K.(Solved)
If the expression 25y² - 70y + (16 + K) is a perfect square; where K is a constant;find the value of K.
Date posted: August 15, 2019. Answers (1)
- Simplify the expression completely:(Solved)
Simplify the expression completely:
Date posted: August 15, 2019. Answers (1)
- Use the quadratic formula to solve the equation 2x² - 9x + 3 = 0 giving your answer to 4 significant figures.(Solved)
Use the quadratic formula to solve the equation 2x² - 9x + 3 = 0 giving your answer to 4 significant figures.
Date posted: August 15, 2019. Answers (1)
- The diagram below represents a model of a pillar. The radii of the top and the base are 7cm and 3.5cm respectively. The height of...(Solved)
The diagram below represents a model of a pillar. The radii of the top and the base are 7cm and 3.5cm respectively. The height of the cylindrical part is 10cm while the height of the whole pillar is 15cm.
(a) Calculate the volume of the model in cm³.
(b) Calculate the mass of the material used to construct the pillar given that the actual height of the
whole pillar is 60m and the density of the material used is 0.832g/cm³. (Give your answer in tones).
Date posted: August 15, 2019. Answers (1)
- The capacity of two similar rectangular tanks are 1,000,000 litres and 512,000 litres respectively.
(a) Determine the length of the larger tank if the smaller one...(Solved)
The capacity of two similar rectangular tanks are 1,000,000 litres and 512,000 litres respectively.
(a) Determine the length of the larger tank if the smaller one is 240cm long.
(b) Calculate the surface area of the smaller tank if the larger tank’s surface area is 1875m².
(c) Estimate the mass of the smaller tank if the mass of the larger one is 800kg.
Date posted: August 15, 2019. Answers (1)
- A is a reflex angle and tan A =7/24.Determine the value of Cos A without using the Mathematical table or calculator.(Solved)
A is a reflex angle and tan A =7/24.Determine the value of Cos A without using the Mathematical table or calculator.
Date posted: August 15, 2019. Answers (1)
- Solve for t in the equation:(Solved)
Solve for t in the equation:
Date posted: August 15, 2019. Answers (1)
- The figure below shows a triangle ABC which is right-angled at C. CB = 8cm and AC = 6cm. Find the length of CD given...(Solved)
The figure below shows a triangle ABC which is right-angled at C. CB = 8cm and AC = 6cm. Find the length of CD given that CD is perpendicular to AB.
Date posted: August 15, 2019. Answers (1)
- Use tables of reciprocal and squares to evaluate, to 4 significant figures, the expression:(Solved)
Use tables of reciprocal and squares to evaluate, to 4 significant figures, the expression:
Date posted: August 15, 2019. Answers (1)
- A plane leaves town P to town Q on a bearing of 130º and a distance of 350km. it then flies 500km on a bearing...(Solved)
A plane leaves town P to town Q on a bearing of 130º and a distance of 350km. it then flies 500km on a bearing of 060º to town R. Find, by scale drawing the distance between town R andtown P.
Date posted: August 15, 2019. Answers (1)
- Using ruler and pair of compass only, construct triangle ABC in which AB = 6cm, BC = 8cm and angle ABC = 45º. Drop a...(Solved)
Using ruler and pair of compass only, construct triangle ABC in which AB = 6cm, BC = 8cm and angle ABC = 45º. Drop a perpendicular from A to meet BC at M. Measure AM and AC.
Date posted: August 15, 2019. Answers (1)
- In the figure below angleMNO = 54º and angle PLM = 50º, PN = NM and PO is parallel to LM.Find the value of angle...(Solved)
In the figure below angleMNO = 54º and angle PLM = 50º, PN = NM and PO is parallel to LM.Find the value of angle LPM.
Date posted: August 15, 2019. Answers (1)
- In a rectangle ABCD, the side AB has equation 3x + 2y = 6 and vertex D has coordinates (-2, 4). Find the equation of...(Solved)
In a rectangle ABCD, the side AB has equation 3x + 2y = 6 and vertex D has coordinates (-2, 4). Find the equation of side AD in the form ax + by = C. Where a, b and C are integers.
Date posted: August 15, 2019. Answers (1)
- An article was bought at Ksh.2250 then later sold for Ksh.2520. Calculate:-
(i) the percentage profit.
(ii) the price at which it should be sold to...(Solved)
An article was bought at Ksh.2250 then later sold for Ksh.2520. Calculate:-
(i) the percentage profit.
(ii) the price at which it should be sold to make a profit of 20%.
Date posted: August 15, 2019. Answers (1)
- The figure below represents a roof truss symmetrical about QS. Beam PQ is 5m long and strut TS is 2.4m long. The distance TQ is...(Solved)
The figure below represents a roof truss symmetrical about QS. Beam PQ is 5m long and strut TS is 2.4m long. The distance TQ is 1.8m.
Calculate:-
(i) the height QS.
(ii) hence, find the span PR of the roof.
Date posted: August 15, 2019. Answers (1)
- In the Kapsabet station church choir, the ratio of male to female is 2:3. On one Sunday service,10 male members were absent and six new...(Solved)
In the Kapsabet station church choir, the ratio of male to female is 2:3. On one Sunday service,10 male members were absent and six new female members joined the choir as guests for that day.If on this day the ratio of males to females was 1:3, how many regular members does the choir have?
Date posted: August 15, 2019. Answers (1)
- Evaluate the expression below;(Solved)
Evaluate the expression below;
Date posted: August 15, 2019. Answers (1)