THIS SECTION IS FOR ALL CANDIDATES
ANSWER ALL QUESTIONS IN THIS SECTION
- Evaluate 14 of 14 34 of 7. ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………(5marks)
- Given the real number B=798-7128+350
a. Express B in the form a2 , where a is a whole number. ………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
b. Given that 1.732<3<1.733 and 1.414<2<1.415; write in a similar manner the bounds within which the number 86 lies and state the amplitude of the bounds to the nearest thousandth ..……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………....................(6marks)
- A polynomial function is defined by gx=x3+x2-9x-9 .
a. Evaluate g-3 ………………………………………………………………………………………………………………………………………………………………………………………………
b. Write gx in the form gx=x+3x2+ax+b, a,b∈Z . ………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
c. Solve the in equation: x+3x-1x-3<0 ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………........ (5marks)
- a. Given that x = 1 is a root of fx=x2+kx-5 , calculate the value of k and write fx completely. ....................................................................................................................................................................................................................................................................................................................................................................
b.Solve in R the equation f(x) = 0 .............................................................................................................................................................................................................................................................................................................................................................(6marks)
- To produce a fruit punch during a practical class, 13 litres of pawpaw juice, 34 litres of pineapple juice, 56 litres of orange juice and 12 litres of carrot juice were used by the HE department of a certain school.
a. What quantity of punch was produced during this practical lesson. .....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
b. If 12 litres of punch is sold at 1200FRS. How much money did the HE department realize on the sales of punch? ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. (6 marks)
- Solve in R :
a. x-32=2x-33 ........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
b. 2x-334x-75 ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... (6marks)
7. A roof has dimensions as shown below:
Figure 1
Calculate the number of roofing sheets to be used to roof the house if each roofing sheet is 3m 1m:
a. If the gabbled ends are not roofed. ...........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
(b). If the gabbled ends are roofed ................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. (6marks)
8. Calculate P=2-2335-3375235-6723 and give the answer as a fraction in its lowest form. ................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. ………………………………………………………………… ( 5marks)
9. In a right-angled triangle, where angle x is acute and cos x=513 , find:
a. sin x ....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
b. cot x ......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... (5marks)
10. Given the vectors p=4i-j ,q=-3i-4j and r=5i+μj . Find
a. p-2q ..............................................................................................................................................................................................................................................................................................................................................................................................
b. magnitude of p-2q .............................................................................................................................................................................................................................................................................................................................................................................................
c. the value of the scalar for which r is parallel to p-2q. ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... (6marks)
11. Find the volume of the cone shown below:
Figure 2
......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... (4marks)
12. The table below represents the performance of students in a Mathematics test, marked out of 20:
i. a. How many students wrote the test? ........................................................................................................................................................................................................................................................................................................................................
b. What is the modal mark? ........................................................................................................................................................................................................................................................................................................................................................
ii. What is the probability that a student scores at least 15marks for the test. ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... (5marks)
13. The figure below represents a circle and a square, both having the same centre O. The area of the square is
1225 cm2.
Figure 3
a. Calculate the length of the side of the square. ..............................................................................................................................................................................................................................................................................................................................................................................................................................................................
b. Calculate the radius of the circle. ................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... (4marks)
14. a. Find the midpoint of the line segment AB given that A-4;-7 and B-6;-2. .....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
b. Find the equation of the line AB. .......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................(6marks)
15. A woman sold fourteen(14) cartons of fish for 168,000FCFA.
a. What is the selling price of one carton? ......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
b. If the cost price of one carton is 10500FCFA. What was her gain after selling all the cartons? ........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................