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The price of an article is marked as 12,000/= Mr. Omanga sold the article at a discount of 10% and still made a profit of 8%. Calculate the cost of the article.
Date posted:
May 2, 2019
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Solve the simultaneous inequality below and list the integral values that satisfy it.
Date posted:
May 2, 2019
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The total age of a group of parents is 342 yrs. A new parent aged 48 yrs joins the group, their average age rises by 1.
Find the original number of parents given that they were more than 30.
Date posted:
May 2, 2019
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Use tables of square, cuberoots and reciprocal to find the value of x if
Date posted:
May 2, 2019
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Solve the simultaneous equations.
Date posted:
May 2, 2019
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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.
Date posted:
May 2, 2019
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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
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Find the area in hectares of a field book measurement recorded in metres as follows.
Date posted:
May 2, 2019
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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
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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
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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
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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
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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
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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
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Use logarithm tables to evaluate:
Date posted:
May 2, 2019
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A radius of a circle is given as 2.8cm to 2 significant figures. By taking 𝜋 to be 3.142, find to 4 significant figures, the limits between the area of the circle lie.
Date posted:
May 2, 2019
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The diagram below shows a circle ABC with AB = 12cm, BC = 15cm and AC = 14cm.
Calculate to 4 significant figures.
(a) The angle ACB
(b) The radius of the circle
(c) The area of the shaded region.
Date posted:
May 2, 2019
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The diagram below shows a triangle OPQ in which QN:NP = 1:2, OT:TN = 3:2 and M is the midpoint of OQ.
(a) Given that OP = p and OQ = q. Express the following vectors in terms of p and q.
(i) PQ
(ii) ON
(iii) PT
(iv) PM
(b) (i) Show that points P, T and M are collinear.
(ii) Determine the ratio MT:TP
Date posted:
May 2, 2019
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Madam Akinyi earns a basic salary of KSh. 24,000 per month. In addition she is paid a commission of 5% for sales above KSh.30,000. In the month of February she sold goods worth KSh. 300,000 at a discount of 6%. Calculate her total earning that month.
Date posted:
May 2, 2019
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The curved surface area of a cylindrical container is 1980cm2. If the radius of the container is 21cm, calculate to one
decimal place the capacity of the container in litres. (Take 𝜋 =22/7)
Date posted:
May 2, 2019
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Three quantities A, B and C are such that A varies directly as the square of B and inversely as the cube root of C.
(a) Given that A = 20 when B = 5 and C = 27. Write the equation connecting A, B and C.
(b) Find the value of A when B = 7 and C = 125.
Date posted:
May 2, 2019
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Use square roots, reciprocals and square tables to evaluate to 4 significant figures the expressions:
Date posted:
May 2, 2019
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The figure below shows a right pyramid with square base of side 3cm and a slant edge of 5cm. Draw its net.
Date posted:
May 2, 2019
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The diagonal of a rectangular garden measures 11.25m while its width measures 6.75m.Calculate the perimeter of the garden.
Date posted:
May 2, 2019
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In the diagram below OX = x and OY = y, M and N are points on OY and XY respectively where OM =1/3 OY and XN =2/5 XY. Lines XM and ON interest at P such that OP =5/9 ON.
(a) Express in terms of vector x and y.
(i) XY
(ii) ON
(iii) XM
(b) Express XP and PM in terms of x and y
(c) State the ratio XP:PM
Date posted:
April 30, 2019
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The nth term of a series is given by 6 – 4n.
(i) Write down the first four terms of the series.
(ii) Find the sum of the first 16 terms of the series.
(iii) Find the 25th term.
Date posted:
April 30, 2019
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Give that a = 6i, b = 5i – 3j and c = 3i + j, find scalars h and k such that ha + kb = c
Date posted:
April 30, 2019
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Expand and simplify (2 – y)5 and use the first four terms to find the approximate value of (1.8)5 to 2 decimal places.
Date posted:
April 30, 2019
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Points P(2,3) and Q (4,5) are mapped into P1(12,14) and Q1 (22,24) respectively by a transformation matrix T. Find the matrix T.
Date posted:
April 30, 2019
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Given that Sin theta =5/13,determine the value of tan (90 - theta) without using a calculator or mathematical tables.
Date posted:
April 30, 2019