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You have a 7 meter board. You wat to cut your board into 2/3 meter pieces. How long will each piece be? Set up and solve.



680 students are seeking admission into the three universities, UNILAG,UNN,UI but 40 students were not admitted that year.100 students were offered admission to both UNILAG and UNN and 50 students went to all the three universities. Although, the number of students admitted to UNILAG,UNN and UI are 390,350, and 140 respectively. Find with the aid of Venn diagram, how many students were admitted.
a) Only to one university
b) Exactly to two university
c) Both UNN and UI

Given: The set of natural less than 7. Present set C in set-builder notation. 


Set Notation Method:

C = _______________________ 


A restaurant offered cooking classes on 12 out of the 30 days in November. What decimal is equivalent to

the fraction of days in November that classes were offered at the restaurant?


In SM Cabanatuan, Bench clothing department store advertises a 30% off sale. On that same day, an additional 10% will be given for the first 100 customers for the same brand.

Answer the following questions:

a. Assume that you are one of the first 100 lucky customers, use composition of function to find the total percent discount.

b. What would be the sale price of a PHP 900 jacket?

A boat sails from port A to port B which is 50 km away on a bearing of 126 degrees from A. It then sails to C which is 46 km away on a bearing of 170degrees from B. The boat continues to sail on a course of 045degrees from C to D for 65 km.

(a) How far south of A is D? (4marks)

(b) How far east of A is D? (4marks)

(c) Calculate the bearing of D from A. (3marks)

(first draw the figure indicating the given data.) (4marks)


The curve y = aX^3– 2X^2– X + 7 has a gradient of 3 at the point where X =3.

Determine the value of a.


Using a =(3,4) and b=(2,-1) as base vectors, express the vector C =(7,2) in form ya+ub



If X^2+ bX +c and X^2+ dX + e have a common factor ( X – p ) show that p =e-c/b-d


find the roots of the quadratic equation X^2– x + k =0 and the value of the constant

k given that one root of the equation is twice the other.


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