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- A businesswoman mixes three types of rice A, B and C in the ratio A : B = 1 : 2 and B : C...(Solved)
A businesswoman mixes three types of rice A, B and C in the ratio A : B = 1 : 2 and B : C = 4 : 5. The mixture is to
contain 60 bags of type B.
a) Find the ratio A : B : C
b) Find the required number of bags of type C.
c) The cost per bag of type A is Kshs. 7,500, type B Kshs. 5,000 and type C Kshs. 4,000.
i) Calculate the cost per bag of the mixture.
ii) Find the percentage profit if the selling price of the mixture is Ksh. 6,500 per bag.
Date posted: May 6, 2019. Answers (1)
- A vehicle initially moving at a velocity of 80m/s had breaks applied. The table below shows how velocity changed in
the next 14 seconds.(Solved)
A vehicle initially moving at a velocity of 80m/s had breaks applied. The table below shows how velocity changed in
the next 14 seconds.
Determine the average rate of deceleration between the fourth and the twelfth second.
Date posted: May 6, 2019. Answers (1)
- The gradient function of a curve is x3 - 4. If the curve passes through point (2, 3). Find the equation of the curve.(Solved)
The gradient function of a curve is x3 - 4. If the curve passes through point (2, 3). Find the equation of the curve.
Date posted: May 6, 2019. Answers (1)
- A plane flies from point P (400N,500E) towards West to a point Q. Given that the plane covers a distance of 10,000km what is the...(Solved)
A plane flies from point P (400N, 500E) towards West to a point Q. Given that the plane covers a distance of 10,000km what is the position of Q. (Take 𝜋= 22/7, radius of the earth 6370km)
Date posted: May 6, 2019. Answers (1)
- Francis bought a vehicle at ksh. 2 800 000. After three years he sold the vehicle at Kshs. 1,500,000. Determine the average rate of depreciation...(Solved)
Francis bought a vehicle at ksh. 2 800 000. After three years he sold the vehicle at Kshs. 1,500,000. Determine the average rate of depreciation per annum correct to one decimal place.
Date posted: May 6, 2019. Answers (1)
- Solve the simultaneous equations.(Solved)
Solve the simultaneous equations.
2x - y = 3
xy - y2 = 0
Date posted: May 6, 2019. Answers (1)
- The figure below represent a square based right pyramid ABCDV. AB = 10cm,AV = BV = CV = DV = 15cm.(Solved)
The figure below represent a square based right pyramid ABCDV. AB = 10cm,AV = BV = CV = DV = 15cm.
Calculate the angle between AV and the base ABCD to the decimal place.
Date posted: May 6, 2019. Answers (1)
- Solve for x without using mathematical tables or calculators.(Solved)
Solve for x without using mathematical tables or calculators.
Date posted: May 6, 2019. Answers (1)
- Expand (4 - x)7 upto to the term in x4. Hence find the appropriate value of (3.8)7.(Solved)
Expand (4 - x)7 upto to the term in x4. Hence find the appropriate value of (3.8)7.
Date posted: May 6, 2019. Answers (1)
- In a transformation, an object with area 9cm2 is mapped onto an image whose area is 54cm2. Given that the matrix of transformation is (Solved)
In a transformation, an object with area 9cm2 is mapped onto an image whose area is 54cm2. Given that the matrix of transformation is 
find the value of x.
Date posted: May 6, 2019. Answers (1)
- Determine the amplitude and period of the function 3y = 6sin (2x - 30).(Solved)
Determine the amplitude and period of the function 3y = 6sin (2x - 30).
Date posted: May 6, 2019. Answers (1)
- The table shows the frequency distribution of marks scored by students in a test.(Solved)
The table shows the frequency distribution of marks scored by students in a test.
Determine the median mark correct to one decimal point.
Date posted: May 6, 2019. Answers (1)
- The quantities P, Q and R are such that P varies directly as Q and inversely as the square of R. Given that P =...(Solved)
The quantities P, Q and R are such that P varies directly as Q and inversely as the square of R. Given that P = 2 when Q = 12 and R = 6. Determine the equation connecting the three.
Date posted: May 6, 2019. Answers (1)
- In the figure below PQR is the diameter of the circle centre O. Angle QPR = 200 and angle QTR = 800(Solved)
In the figure below PQR is the diameter of the circle centre O. Angle QPR = 200 and angle QTR = 800
Determine the size of
a) Reflex angle POS
b) Angle OSQ
Date posted: May 6, 2019. Answers (1)
- The first term of an arithmetic sequence is 5 and the common difference is 2.(Solved)
The first term of an arithmetic sequence is 5 and the common difference is 2.
a) List the first six terms of the sequence.
b) Determine the sum of the first 40 terms of the sequence.
Date posted: May 6, 2019. Answers (1)
- The length of two similar iron bars A and B were given as 10.5m and 8.2m. Calculate the maximum possible difference
in length between the two...(Solved)
The length of two similar iron bars A and B were given as 10.5m and 8.2m. Calculate the maximum possible difference
in length between the two bars.
Date posted: May 6, 2019. Answers (1)
- The figure below shows a right pyramid VEFGHK. The base EFGHK is a regular pentagon. EO = 7cm and VE = 12cm.(Solved)
The figure below shows a right pyramid VEFGHK. The base EFGHK is a regular pentagon. EO = 7cm and VE = 12cm.
Calculate
a) The perimeter of the base to 2 decimal places.
b) The length VO to 2 decimal places.
c) The angle which edge VF makes with the edge FE.
d) The volume of the pyramid to 2 decimal places
Date posted: May 6, 2019. Answers (1)
- The figure below represents a game sanctuary in the shape of a quadrilateral in which AB = 30km,AE = 20km and CE = 45km (Solved)
The figure below represents a game sanctuary in the shape of a quadrilateral in which AB = 30km,AE = 20km and CE = 45km 0, 0 and 0.
Calculate
a) The side BC correct to 2 decimal places.
b) The angle ABE to 1 decimal place.
c) The area of the game sanctuary in hectares correct to 2 decimal places.
Date posted: May 6, 2019. Answers (1)
- A calf runs in a straight line towards a cow with a velocity of vm/s after t seconds given by v = t (8 -...(Solved)
A calf runs in a straight line towards a cow with a velocity of vm/s after t seconds given by v = t (8 - t).
a) Complete the table below
b) Calculate the distance covered by the calf.
i) Using eight trapezia of equal width.
ii) Using the exact method.
Date posted: May 6, 2019. Answers (1)
- The percentage marks obtained by 40 students in a test are as under:
85, 30, 49, 62, 17, 84, 24, 15, 82, 61, 74, 38, 27,...(Solved)
The percentage marks obtained by 40 students in a test are as under:
85, 30, 49, 62, 17, 84, 24, 15, 82, 61, 74, 38, 27, 13, 44, 72, 61, 49, 38, 23,
90, 32, 67, 18, 45, 58, 22, 46, 37, 39, 43, 55, 62, 30, 46, 59, 41, 26, 34 and 47.
a) Prepare a grouped frequency table from the above data using a class width of 10.
b) Use 49.5 as the working mean and estimate the mean from the grouped frequency table.
c) Prepare a cumulative frequency table and draw the cumulative frequency curve on the grid of squares provided.
Date posted: May 6, 2019. Answers (1)