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- A number n is such that when divided by 3, 7, 11 or 13, the remainder is always one. Find the number n.(Solved)
A number n is such that when divided by 3, 7, 11 or 13, the remainder is always one. Find the number n.
Date posted: May 2, 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...(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
OR. If the area of PQR is 336cm2. Find the area of the quadrilateral QSTR.
Date posted: May 2, 2019. Answers (1)
- The diagram below represents a circular flower bed surrounded by a path of uniform width. Given that
R = 14m and r = 12.6m, calculate to...(Solved)
The diagram below represents a circular flower bed surrounded by a path of uniform width. Given that
R = 14m and r = 12.6m, calculate to the nearest whole number the area of the path. (Take p = 22/7)
Date posted: May 2, 2019. Answers (1)
- Find the area in hectares of a field book measurement recorded in metres as follows.(Solved)
Find the area in hectares of a field book measurement recorded in metres as follows.
Date posted: May 2, 2019. Answers (1)
- Simplify completely(Solved)
Simplify completely
Date posted: May 2, 2019. Answers (1)
- The first, the fifth and the seventh terms of another Arithmetic sequence forms a decreasing geometric progression. If
the first terms of the geometric progression is...(Solved)
The first, the fifth and the seventh terms of another Arithmetic sequence forms a decreasing geometric progression. If
the first terms of the geometric progression is 64.
(i) find the values of the common differenced of AP.
(ii) find the first sum of the first ten terms of the G.P.
Date posted: May 2, 2019. Answers (1)
- The first term of an arithmetic progression is 3 and the sum of its 8 terms is 164.(Solved)
The first term of an arithmetic progression is 3 and the sum of its 8 terms is 164.
(i) Find the common difference of the arithmetic progression.
(ii) Given that the sum of the first terms of AP is 570, find n.
Date posted: May 2, 2019. Answers (1)
- A right pyramid VABCD below has a square base ABCD of side 4m. The slant edges VA, VB, VC and VD are 6m long.(Solved)
A right pyramid VABCD below has a square base ABCD of side 4m. The slant edges VA, VB, VC and VD are 6m long.
Calculate
(i) the height of the pyramid.
(ii) the angle between the plane VAB and the base ABCD.
(iii) C1 and D1 are mid points of VC and VD respectively. Calculate the angle between the planes ABCD and ABC1D1.
Date posted: May 2, 2019. Answers (1)
- The electricity bill E of school is partly fixed and partly varies inversely as the total number of students T.(Solved)
The electricity bill E of school is partly fixed and partly varies inversely as the total number of students T.
(a) Write down an expression of E in terms of T.
(b) When the school had 100 students the bill was KSh. 174 per student while for 35 students the bill was KSh. 200 per
student. Calculate the fixed charge.
(c) Find the appropriate number of students for which the two parts of electricity bill are equal.
(d) Find the electricity bill E when the students population is 1000.
Date posted: May 2, 2019. Answers (1)
- A ship sailing at a speed of 200 knots left harbour A (300S, 320E) and sailed due north to harbour B (300N, 320E).(Solved)
A ship sailing at a speed of 200 knots left harbour A (300S, 320E) and sailed due north to harbour B (300N, 320E).
(a) Calculate the distance it covered in nautical miles.
(b) After a 15 minutes stop over at B the ship due west to harbour C (300N, 150E) at the same speed.
(i) Calculate the total time taken by the ship from A to C through B.
(ii)If the ship took off from A at 2:00p.m,at what time will it reach C?.
Date posted: May 2, 2019. Answers (1)
- Evaluate the expression below;(Solved)
Evaluate the expression below;
Date posted: May 2, 2019. Answers (1)
- An unbiased coin with faces, head (H) and tail (T) and a fair die with faces marked 1, 2,3,4,5, 6 are each tossed once.Calculate the...(Solved)
An unbiased coin with faces, head (H) and tail (T) and a fair die with faces marked 1, 2,3,4,5, 6 are each tossed once.Calculate the probability that a 4 of the die and a head (H) of the coin shows up.
Date posted: May 2, 2019. Answers (1)
- A two digit number is such that the sum of the digits is 11. When the digits are interchanged the new number formed
is 45 less...(Solved)
A two digit number is such that the sum of the digits is 11. When the digits are interchanged the new number formed
is 45 less than the original number. Determine the original number
Date posted: May 2, 2019. Answers (1)
- The position vectors of points P and Q are p =2i + 3j – k and q = 3i – 2j + 2k respectively. Find...(Solved)
The position vectors of points P and Q are p =2i + 3j – k and q = 3i – 2j + 2k respectively. Find the magnitude of PQ correct to 4 significant figures.
Date posted: May 2, 2019. Answers (1)
- a)Expand and simplify (1 – 5x)4.(Solved)
a)Expand and simplify (1 – 5x)4.
b) Use the expansion in (a) above to estimate the value of 0.94 to 4 significant figures.
Date posted: May 2, 2019. Answers (1)
- A man invests KSh. 10,000 in an account which pays 16% interests p.a compounded quarterly. Find the amount in the account after 1 ½ years.(Solved)
A man invests KSh. 10,000 in an account which pays 16% interests p.a compounded quarterly. Find the amount in the account after 1 ½ years.
Date posted: May 2, 2019. Answers (1)
- Make P the subject of the formula in:-(Solved)
Make P the subject of the formula in:-
Date posted: May 2, 2019. Answers (1)
- In the figure below DC is a tangent to the circle at point D. Given that ABC is a straight line where AB = 7cm...(Solved)
In the figure below DC is a tangent to the circle at point D. Given that ABC is a straight line where AB = 7cm and AC =
16.5cm, find the length of DC.
Date posted: May 2, 2019. Answers (1)
- By expressing tan 300 as(Solved)
By expressing tan 300 as 
simply the expression 
leaving your answer with a rationalized denominator.
Date posted: May 2, 2019. Answers (1)
- Use logarithm tables to evaluate:(Solved)
Use logarithm tables to evaluate:
Date posted: May 2, 2019. Answers (1)