- Using ruler and a pair of compasses only:(Solved)
Using ruler and a pair of compasses only:
(a) Construct triangle ABC in which BC = 8cm and angle ABC = 1050 and angle BAC = 450.
(b) Drop a perpendicular from A to meet line BC at P. Determine the area of triangle ABC.
Date posted: August 19, 2019. Answers (1)
- (a) Using a ruler and compasses only, construct triangle PQR in which QR=5cm,PR = 7cm and angle PRQ = 105o
(b) Measure PQ and Angle...(Solved)
(a) Using a ruler and compasses only, construct triangle PQR in which QR=5cm,PR = 7cm and angle PRQ = 105o
(b) Measure PQ and Angle PQR
(c) From P drop a perpendicular to meet QR produced at S
(d) Mark a point T on SP produced such that the area of triangle TQR is half the area of triangle PQR.
(e) Complete the TQR and measure angle QRT
(f) measure ST and angle QTR
Date posted: August 19, 2019. Answers (1)
- Four strings measuring 12cm, 18cm, 24cm and 36cm are cut into pieces of equal length so that exact number of pieces are obtained from each...(Solved)
Four strings measuring 12cm, 18cm, 24cm and 36cm are cut into pieces of equal length so that exact number of pieces are obtained from each string without wastage. Find the longest length of each string.
Date posted: August 19, 2019. Answers (1)
- A triangular piece of land PQR has side PO=50m, QR=75m and PR=95m
(a) Calculate the area of the triangular piece of land PQR.
(b) Calculate the value...(Solved)
A triangular piece of land PQR has side PO=50m, QR=75m and PR=95m
(a) Calculate the area of the triangular piece of land PQR.
(b) Calculate the value of ∠PRQ.
(c) A new piece of land PQRS is a trapezium with PS// OR, whose is three times that of triangle PQR, Calculate the perimeter of PQRS.
Date posted: August 19, 2019. Answers (1)
- Use tables to evaluate:-(Solved)
Use tables to evaluate:-
Date posted: August 19, 2019. Answers (1)
- The points P(-6, 4) and Q (2,2) are the end points of the diameter of a circle.(Solved)
The points P(-6, 4) and Q (2,2) are the end points of the diameter of a circle.
(i) Find the coordinates of the centre of the circle.
(ii) Hence find the equation of the circle giving your answer in the form
ax2 + by2 + cx + dy + k = 0
Date posted: August 19, 2019. Answers (1)
- Three businessmen Onyango,Abdul and Mwangi decided to buy bus. The marked price of the bus was sh. 6,800,000. The dealers agreed that the three men...(Solved)
Three businessmen Onyango,Abdul and Mwangi decided to buy bus. The marked price of the bus was sh. 6,800,000. The dealers agreed that the three men could pay a deposit of 60% of the money and the rest to be paid within one year. Onyango, Abdul and Mwangi raised the deposit in the ration 3: 2 :5 respectively.
The balances was to be paid to the dealer from the proceeds from the bus in the same ratio as the deposits. The three men shared the proceeds from the bus in the ratio as the deposits. During the year the bus realized sh. 6,080,000
(a)How much of the deposit did Abdul contribute?
(b)How much of the remaining amount did Mwangi pay at the end of the year ?
(c)After paying the remaining amount at the end of the year, how much money was Onyango left with?
Date posted: August 19, 2019. Answers (1)
- On the figure below, Lm is parallel to PQ. Angle MLR = 300 and angle RPQ = 700.(Solved)
On the figure below, Lm is parallel to PQ. Angle MLR = 300 and angle RPQ = 700. Find the value of x.
Date posted: August 19, 2019. Answers (1)
- The table below gives the age distribution of the people who live in a certain village in years.
(a) Represent this information on a histogram.
(b) Calculate...(Solved)
The table below gives the age distribution of the people who live in a certain village in years.
(a) Represent this information on a histogram.
(b) Calculate the mean age of the population in this village.
Date posted: August 19, 2019. Answers (1)
- The marked price of a modern camera is Kes 24,000. A trader sold it to a customer at a 10% discount.(Solved)
The marked price of a modern camera is Kes 24,000. A trader sold it to a customer at a 10% discount. If the trader still made a profit of 20% on the cost price, what was its cost price?
Date posted: August 19, 2019. Answers (1)
- If sin ? = 15/17 and ? is acute, find without using calculators or mathematical tables cos ? + tan ?.(Solved)
If sin Ф = 15/17 and Ф is acute, find without using calculators or mathematical tables cos Ф + tan Ф.
Date posted: August 19, 2019. Answers (1)
- The figure below is a semi-cylindrical solid of length 18cm and radius 3.5cm as shown(Solved)
The figure below is a semi-cylindrical solid of length 18cm and radius 3.5cm as shown.
(a) Draw the labeled net of the solid.
(b) Find the surface area of the solid.
Date posted: August 19, 2019. Answers (1)
- a) Some articles are on sale at two different prices, the dealer being Ksh. 30 per dozen more than thecheaper ones. for kshs . 50,...(Solved)
a) Some articles are on sale at two different prices, the dealer being Ksh. 30 per dozen more than the cheaper ones. for kshs . 50, Mary get 9 articles more when she buy cheaper ones than when she by dealer ones. If the dealer articles cost Ksh. X per dozen,
(i) Write the terms of X the number of articles that Mary can buy in both cases.
(ii) Find the cost per dozen of each type of articles.
(b) Mary bought the cheaper articles and sold 3 dozens at a profit of 25 % what was the selling price of each article.
Date posted: August 19, 2019. Answers (1)
- The equation of a straight line L1 is given by 2y + 8x – 10 = 0.(Solved)
The equation of a straight line L1 is given by 2y + 8x – 10 = 0. Another line L2 cuts L1 at right angles such that the point of intersection of the two lines has coordinates (-3, k).
(a) Find the value of k.
(b) Hence find the equation of L2.
Date posted: August 19, 2019. Answers (1)
- Evaluate:(Solved)
Evaluate:
Date posted: August 19, 2019. Answers (1)
- A tower is on a bearing of 030o from a point P and a distance of 100 m. From P, the angle of elevation of...(Solved)
A tower is on a bearing of 030o from a point P and a distance of 100 m. From P, the angle of elevation of the top of the tower is 15o and the angle of depression of the foot of the tower is 1.
(a) Find the height of tower.
(b) A point Q is on the same horizontal plane as point P. The tower is on a bearing 330o from Q and a distance of 70 m.
Calculate the:-
(i) Bearing of Q from the tower.
(ii) The distance from P to Q
(iii) bearing of P from Q.
Date posted: August 19, 2019. Answers (1)
- The taxation rates for income earned in a certain year were as follows.
(Solved)
The taxation rates for income earned in a certain year were as follows.
After a personal relief of Ksh.1056 per month Mrs. Wanjiru Njau paid tax amounting to Ksh. 18,152 that year.
(a) How much tax would she have paid if she did not have the personal relief
(b) Find her taxable income in K₤ that year.
(c) If Mrs. Wanjiru Njau receives allowances amounting to 18% of the taxable income, calculate his monthly basic salary to the nearest.
Date posted: August 19, 2019. Answers (1)
- The figure below shows two circles with centres O1 and O2 and intersecting at A and B.Angles AO1B = 60o, AO2B = 80o, AO1 =...(Solved)
The figure below shows two circles with centres O1 and O2 and intersecting at A and B.Angles AO1B = 60o, AO2B = 80o, AO1 = O1B = 8cm
Calculate
(a) AB
(b) AO2
(c) Area of the shaded region.
Date posted: August 19, 2019. Answers (1)
- (a) A curve whose equation is in the form y = mx³ - nx where m and n are constants passes through the point (1,...(Solved)
(a) A curve whose equation is in the form y = mx³ - nx where m and n are constants passes through the point (1, 2). Its gradient at the given point is 10. Find the values of m and n.
(b) Use the trapezium rule to find the area bounded by the curve y = x² + 4, the x-axis and the lines
x = 0 and x = 4. Use five ordinates.
(c) Calculate the exact area bounded by the curve, y = x² + 4, the x-axis and the lines x = 0 and x = 4. Hence find the percentage error in (b) above.
Date posted: August 19, 2019. Answers (1)
- Solve completely the following inequalities and represent the solution on the number line.(Solved)
Solve completely the following inequalities and represent the solution on the number line.
Date posted: August 19, 2019. Answers (1)