KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1The graph below consists of a non- quadratic part ( 0 ≤ x ≤ 2) and a quadrant part ( 2 ≤ x 8) The quadratic part is y = x2 – 3x + 5, 2 ≤ x ≤ 8
(a) Complete the table below (1 mark)
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Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
The diagram below shows a cross- section of a bottle. The lower part ABC is a hemisphere of radius 5.2 cm and the upper part is a frustum of a cone. The top radius of the frustum is one third of the radius of the hemisphere. The hemisphere part is completely filled water as shown in the diagram.
When the container is inverted, the water now completely fills only the frustum part.
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1If x2 + y2 = 29 and x + y = 3
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
In triangle OAB, OA = a OB = b and P lies on AB such that AP: BP = 3.5
\[AQ = \frac{-5a}{8} + \frac{9b}{40}\]
Find the ratio OQ: QP
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1The figure below shows two circle ABPQ and ABSR intersecting at A and B. PBS, QART and ABU are straight lines. The line UST is a tangent to a circle ABSR at S. ∠BPQ = 800, ∠PBU = 1150 and ∠BUS = 700 Find the values of the following angles, stating your reason in each case.
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1​A triangle plot of land ABC is such that AB= 34 m, AC=66m and ∠BAC = 96.70
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
​The cost of a minibus was Kshs. 950,000. It depreciated in value by 5% per year for the first two years by 15% per year for the subsequent years.
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
A particle moves on a straight line. The velocity after t seconds is given by V = 3t2 – 6 t – 8. The distance of the particle from the origin after one second is 10 metres. Calculate the distance of the particle from the origin after 2 seconds.
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1By substituting triangle for (2 – 0) or otherwise simplify the expression (x + 2 –a)2 + (2 – a-x)2 – 2(x- 2 + a) (x + 2 – a). Give your answer in terms of a and as a product of two squares. Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
​An equilateral triangle ABC lies in a horizontal plane, A vertical flag AH stand at A.
If AB = 2 AH find the angle between the places ABC and HBC. Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1A business woman opened an account by depositing Kshs. 12,000 in a bank on 1st July 1995. Each subsequent year, she deposited the same amount on 1st July. The bank offered her 9% per annum compound interest. Calculate the total amount in her account on
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
The length and breath of a rectangular floor were measured and found to be 4.1 m and 2.2 m respectively. If possible error of 0.01 m was made in each of the measurements, find the:
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
A girl wanted to make a rectangular octagon of side 14cm. She made it from a square piece of a card of size y cm by cutting off four isosceles triangles whose equal sides were x cm each, as shown below.
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
Two baskets A and B each contain a mixture of oranges and limes, all of the same size. Basket A contains 26 oranges and 13 limes. Basket B contains 18 oranges and 15 limes. A child selected a basket at random and picked a fruit at a random from it.
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
An open right circular cone has a base radius of 5 cm and a perpendicular height of 12 cm.
Calculate the surface area of the cone ( take Î to be 3.142)
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
A point (-5, 4) is mapped onto ( -1, -1) by a translation. Find the image of (-4, 5) under the same translation.
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
(a) Evaluate:
\[\frac{-8 \div 2 + 12 \times 9 - 4 \times 6}{56 \div 7 \times 2}\]
(b) Simplify the expression
5a – 4b – 2 [a - (2b + c)] Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2
​A draper is required to supply two types of shirts A and type B.
The total number of shirts must not be more than 400. He has to supply more type A than of type B however the number of types A shirts must be more than 300 and the number of type B shirts not be less than 80. Let x be the number of type A shirts and y be the number of types B shirts.
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