KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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.
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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 2Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2
​A river is flowing at uniform speed of 6 km/ h. A canoeist who can paddle at 10 km/h through still water wishes to go straight across the river.
Find the direction, relative to the bank in which he should steer. Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2
A science club is made up of boys and girls. The club has 3 officials. Using a tree diagram or otherwise find the probability that:
Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2
Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2
Find x if:
\[-3 log 5 + log x^{2} = log \frac{1}{125}\] Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2
A balloon, in the form of a sphere of radius 2 cm, is blown up so that the volume increase by 237.5%. Determine the new volume of balloon in terms of π
Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2
Given that P = 3 y express the equation 32y – 1 + 2 × 3y-1= 1 in terms of AP. Hence or otherwise find the value of y in the equation 32y – 1 + 2 × 3y-1= 1
Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2
In the figure, KLMN is a trapezium in which KL is parallel to NM and KL = 3 NM
Given that KN = w, NM = u and ML = v
Show that 2 u = v= w Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2
In the figure below a line XY and three points. A,B and C are given. On the figure construct
Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2
​A manufacturer sells bottle of fruit juice to a trader at a profit of 40%. The trader sells it for Kshs 84 at a profit of 20%. Find:
Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2Simplify the expression:​Hence solve the equation:Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2​Use logarithms to evaluate:\[55.9 \div (0.2621 \times 0.01177)^{\frac{1}{5}}\] A and B are towns 360 km apart. An express bus departs form A at 8 am and maintains an average speed of 90 km/h between A and B. Another bus starts from B also at 8 am and moves towards A making four stops at four equally spaced points between B and A. Each stop is of duration 5 minutes and the average speed between any two spots is 60 km/h. Calculate distance between the two buses at 10 am.A financial institution charges compound interest on money borrowed. A business woman borrowed Kshs. 16, 000 from the financial institution. She paid back Kshs 25,000 after 2 years. Find the interest rate per annum.Six weeks after planting the height of bean plants were measured correct to the nearest centimeter. The frequency distribution is given in the table below.
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