Get premium membership and access revision papers, questions with answers as well as video lessons.

121/1 Mathematics Question Paper

121/1 Mathematics

Course:Mathematics

Institution: Form 4 Mock question papers

Exam Year:2010

Name……………………………………………………………. Index No……………………………..
School…………………………………………………………… Candidate’s sign…………………….
Date………………………………….

121/1
MATHEMATICS
PAPER 1
July/August 2010
2 ½ hrs

BUTERE DISTRICT JOINT EVALUATION TEST – 2010
Kenya Certificate of Secondary Education (K.C.S.E)

121/1
MATHEMATICS
PAPER 1
July/August 2010
2 ½ hrs

INSTRUCTION TO CANDIDATES
1. Write your name and index number in the spaces provided above
2. Sign and write the date of examination in the spaces provided.
3. The paper contains two sections: Section I and II.
4. Answer all questions in section I and strictly five questions from section II.
5. All answers and working must be written on the question paper in the spaces provided below each question.
6. Show all the steps in your calculations, giving your answers at each stage in the spaces below each question.
7. Marks may be given for correct working even if the answer is wrong.
8. Non- programmable silent electronic calculators and KNEC mathematical tables may be used except where stated otherwise.

FOR EXAMINER’S USE ONLY
Section I
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Total

Section II
17 18 19 20 21 22 23 24 Total

GRAND
TOTAL

This paper consists of 16 printed pages. Candidates should check carefully
to ascertain that all the pages are printed as indicated and no questions are missing.
SECTION I (50 MARKS)
Answer all the questions in this section in the spaces provided.
1. Without using tables and calculators, evaluate
(3mks)

2. A straight line passes through A(-2,1) and B(2,-k). The line is perpendicular to a line 3y + 2x = 5. Determine the value of k. (3mks)

3. The scale of a map is 1:50000. A lake on the map is 6.16cm2. find the actual area of the lake in hactares. (3mks)

4. A Kenya scholar to Japan exchanged converted Kenyan shillings to Yens. He received a total of 36,632.8 Yens. If the bank rates were as below, find how much to the nearest shilling he exchanged.
Buying selling
100 Japanese Yens Ksh 62.76 63.16 (2mks)

5. In the figure below not drawn to scale. DC is a tangent to the circle. DC = 6cm, AB = 5cm. Calculate BC. (3mks)

6. Points A and B lies on the same circle of latitude P0N if A and B are on longitude 410W and 30E respectively and the distance between them is 1370nm. Calculate the latitude P. (2mks)

7. Simplify without using calculators and tables
(3mks)

8. A line whose gradient is positive is drawn on the Cartesian plane and its equation is . Calculate the angle formed between the line and X axis. (3mks)

9. Mary has 21 coins whose total value is shs 72. There are twice as many five shillings coins as there are ten shillings coins. The rest are one shilling coins. Find the number of ten shillings coins that Mary has. (3mks)

10. The figure below is a rhombus ABCD of sides 4cm. BD is an arc of circle centre C. Given that ?ABC = 1380. Find the area of shaded region. (3mks)

11. Shopping centres XY and Z are such that Y is 12km south of X and Z is 15kn from X. Z is on a bearing of N300W from Y. Calculate and give compass bearing of Z from X. (4mks)

12. Under an enlargement transformation point A(1,-4) is mapped onto A1(2,5) with scale factor 3. Find the centre of enlargement. (2mks)

13. The product of a and is 31.59. Given that logarithm of a is 2.6182. Find using logarithm the value of b. to 4 significant figures. (4mks)

14. Two metal spheres of diameter 2.3cm and 3.86cm are melted. The molten material is used to cast equal cylindrical slabs of radius 8mm and length 70mm.
If 1/20 of the metal is lost during casting. Calculate the number of complete slabs casted. (4mks)

15. Ann bought 24 trays of eggs at sh 225 each. Each tray contains 30 eggs. 54 eggs got broken during transportation. At what price must he sell each egg in order to realize a profit of 22%. Answer to the nearest 1 shilling. (4mks)

16. Write down the inequalities that satisfy the u shaded region in the figure below. (4mks)

Section B
Answer any five questions in this section.
17. The height of 36 students in a class was recorded to the nearest centimeters as follows.
148 159 163 158 166 155 155 179 158 155 171 172 156 161 160 165 157 165 175 173 172 178 159 168 160 167 147 168 172 157 165 154 170 157 162 173
(a) Make a grouped table with 145.5 as lower class limit and class width of 5. (4mks)

(b) By plotting frequency density against upper class boundary.
(i) Draw a histogram for the above data hence
(ii) Draw a frequency polygon for the data
(Take scale of 2cm to represent 5cm height on x-axis) (6mks)

18. (a) Without using a protractor or set square, construct a triangle ABC in which AB = 4cm, BC = 6cm and ?ABC = 67½0. Take AB as the base. (3mks)
Measure AC.

(b) Draw a triangle A1BC1 which is indirectly congruent to triangle ABC. (3mks)

(c) Taking the mid point of AB as your centre of rotation (M). Find the triangle A11B11C11 the image of A1B1C1 after -900. (4mks)

19. In the figure below E is the mid point of BC. AD:DC = 3:2 and F is the meeting point of BD and AE

If AB = and AC =
(a) Express the following in terms of and
(i) (1mk)

(ii) (2mks)

(b) If = t and = n find the value of t and n. (5mks)

(c) State the ratio of BD to BF. (1mk)

20. A machine part is a pulley system with two wheels of radii 0.5m and 2m. The centres of the wheels are 4m apart.
(a) If a rope is tied around the wheels externally to complete the pulley, calculate it’s length. (7mks)

(b) If the rope is tied internally round the pulleys, it is 11/3m longer than if tied externally. Calculate the length of the required to 4 significant figures. (3mks)

21. In the figure below PQR and S are points on the circumference of a circle centre O. The point TSO and Q lie on a straight line MPT is a tangent to the circle at P.

Find the values of the following angles stating reasons in each case.
(a) ?SRP (2mks)

(b) ?ORP (2mks)

(c) ?RPT (2mks)

(d) ?STP (2mks)

(e) ?QPM (2mks)

22. Four telephone posts PQR and S stand on a level ground such that Q is 28m on a bearing of 0600 from P. R is 20m to the south of Q and S is 16m on a bearing of 1400 from P.
(a) Using a scale of 1cm represent 4m show the relative positions of the posts. (4mks)

(b) Find the distance and bearing of R from S. (3mks)

(c) If the height of post P is 15.6m. on a separate scale drawing, draw a diagram and determine the angle of depression of post R from the top of post P. (3mks)
(Same scale as above)

23. (a) Divide 100cm3 in the ratio to the nearest whole number. (3mks)

(b) In a chemistry experiment, a boy mixed some acid solution of 45% concentration with an acid solution of 25% concentration. In what proportion should the two acids be mixed in order to get 100cm3 of solution of 30% concentration. (3mks)

(c) (i) Two blends of tea costing sh 140 and sh 160 per kg respectively are mixed in the proportion of 2:3 by mass. The mixture is then sold at sh 240 per kg. Find the gain percent (2mks)

(ii) In what ratio should the two blends be mixed to get a mixture that costs sh 148 per kg. (2mks)

24. A photograph is mounted on a frame that it leaves a uniform border at the bottom and at the top. At each side a uniform border which is half the border at the bottom is left.
If the side of the square photograph is 5cm and area of frame is 75cm2.
(a) Write down an equation for the area of the frame (simplified) (2mks)

(b) What are the dimensions of the frame? (4mks)

(c) What is the percentage area of the frame that is not covered by the photograph? (4mks)

121/1 Mathematics Question Paper

More Question Papers

Popular Exams