KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Comprehensive Answers and Marking Schemes KNEC Certified
| CHORDS AND TANGENTS | FORM 3 LEVEL | SECTION II | PAPER 1 | ALT B | KCSE 2011 | QUESTION 21 |In the figure below, points L, M, N and P are on the circumference of a circle centre O. Line LON is a diameter of the circle. PL = PN and angle NLM = 20°.
Find, giving a season in each case, the size of each of the following angles. (a) ∠ MPN; (2 marks) (b) ∠ PLN; (2 marks) (c) ∠ LPM; (2 marks) (d) ∠ MNP; (2 marks) (e) ∠ PMO; (2 marks)
0 Comments
| COMMERCIAL ARITHMETIC | FORM 3 LEVEL | SECTION II | PAPER 1 | ALT B | KCSE 2011 | QUESTION 19 |Three partners, Amani, Furaha and Nehema, contributed a total capital of Ksh 750 000 to start a business. Amani contributed 1/3 of the money, Furaha contributed 2/5 of the money and Nehema contributed the rest.
After some time the business realised a profit of 36% of the capital. The profit was taxed at the rate of 5%. After taxation, each of the partners received Ksh 20 000 of the profit. The remainder of the profit was shared among the three partners in the ratio of their contributions. Calculate:
| COMMERCIAL ARITHMETIC | FORM 3 LEVEL | SECTION II | PAPER 1 | ALT B | KCSE 2011 | QUESTION 17 |A salesman was paid a basic salary of Ksh 48 000 per month plus a commission of 3% for sales of goods worth above Ksh 500 000.
In the figure below, OABC is a rhombus drawn in a circle, centre O, of radius 3 cm. Angle AOC = 120°22/3/2024 | angle properties of a circle | FORM 3 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 16 |In the figure below, OABC is a rhombus drawn in a circle, centre O, of radius 3 cm. Angle AOC = 120°
Determine the total area of the shaded regions to 2 decimal places. (4 marks) | SIMULTANEOUS EQUATIONS | FORM 3 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 15 |Solve the simulataneous equations:
p - q = 3 p² - q² = 21 | FACTORIZATION | FORM 3 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 13 |Use factorization method to solve the equation: 1/8 x^2 + x = 48.
| logarithms | FORM 3 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 10 |Use logarithm tables to evaluate √(2.5 × 0.064) / 8.1
ALT B | GRAPHICAL METHODS | | FORM 3 LEVEL | SECTION II | PAPER 2 | KCSE 2010 | QUESTION 24Some water is heated in a beaker and then left to cool for 12 minutes. After the heating is stopped, the relationship between the water temperature C, in degrees centigrade and the time t, after heating is given as C = 100 -1/2 T^2.
ALT B | vectors ii | | FORM 3 LEVEL | SECTION II | PAPER 2 | KCSE 2010 | QUESTION 23The figure below shows a triangle OAC in which B is the mid-point of OC and D is the mid-point of AC.
Given that OA = 2i + 5j and OB = 4i + j,
ALT B | PROBABILITY | | FORM 3 LEVEL | SECTION II | PAPER 2 | KCSE 2010 | QUESTION 20A bag contains 5 yellow (Y) balls and 3 blue (B) balls. All the balls are identical except for the colour. A ball is drawn at random from the bag without replacement and its colour noted. A second ball is draw at random from the same bag and its colour also noted.
ALT B | SEQUENCE AND SERIES | | FORM 3 LEVEL | SECTION II | PAPER 2 | KCSE 2010 | QUESTION 18The terms of an Arithmetic sequence are 2,5,8,11, ...
ALT B | COMMERCIAL ARITHMETIC II | | FORM 3 LEVEL | SECTION ii | PAPER 2 | KCSE 2010 | QUESTION 17A shop sells a certain type of fridge at a cash price of Ksh 80 000. If the fridge is bought on Hire Purchase (H.P), a deposit of Ksh 24 000 is paid. A customer is also charged 15% per annum simple interest on the balance of the cash price after deposit is paid. Khamala bought one such fridge on H.P. He paid the balance plus the interest in 5 equal monthly instalments.
ALT B | COMMERCIAL ARITHMETIC II | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 15A building was valued at Ksh 720 000 on 1st January 2007. The value of the building appreciated at 2% per annum in the first year. The value of the building then depreciated at the rate of 5% for the next 2 years. Calculate the value of the building at the end of year 2009. (3 marks)
ALT B | graphical methods | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 13The table below gives values of two variables x and y obtained from an experiment.
(a) On the grid provided below, plot the values of y against x and draw the line of best fit. (2 marks) ALT B | CIRCLES, CHORDS AND TANGENTS | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 12In the figure below, PRQS is a circle of radius 17cm. Line PQ is a diameter of the circle and is perpendicular to chord RS at T.
ALT B | SEQUENCE AND SERIES | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 11The second term of a geometric sequence is 24 and the fifth term is 192. Find the first term of the sequence. (3 marks)
ALT B | COMPOUND PROPORTIONS | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 7An inlet pipe fills an empty water tank in 8 hours while an outlet pipe empties the full tank in 5 hours. When the tank is full, the inlet and outlet pipes are opened at the same time. Calculate:
ALT B | quadratic equations | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 3Solve by factorisation, the quadratic equation:
2x²-3x-50 = 0 (3 marks) ALT B | FORMULA AND VARIATIONS | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 4ALT B | Circles, Tangents and Chords | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 5The figure below shows a circle centre O and external point X.
ALT B | LINEAR MOTION | SECTION 2 | QUESTION 23 | KCSE 2010 | FORM 3 LEVELThe figure below is a velocity - time graph for a car that travelled from t = 0 to t = 60, where t is time in seconds. Use the graph to calculate:
ALT B | QUADRATIC EQUATIONS | SECTION 1 | QUESTION 19 | KCSE 2010 | FORM 3 LEVELThe length and width of a rectangular plot of land are given as (7x + 5) m and (x + 10) m respectively.
PROBABILITY | PAPER 1 | SECTION B | KCSE 1997 | FORM 3 LEVELThe water supply in a town depends entirely on two water pumps, A and B. The probability of pump A filling is 0.1, and the probability of pump B failing is 0.2. Calculate the probability that:
|
Categories
All
Archives
December 2024
Latest Posts |
Primary Resources
College Resources
|
Secondary Resources
|
Contact Us
Manyam Franchise
P.O Box 1189 - 40200 Kisii Tel: 0728 450 424 Tel: 0738 619 279 E-mail - sales@manyamfranchise.com |