Customs Concour Preps: Quiz 1

Quiz 1: GCE Panel Online Preps

Exercice 1: 1.75 pts

Examine the expression B = 1 – 3√2 and C = √(19-6√2)

• a) Compare 1 and 3√2 , then give the sign of B
• b) Calculate B^2 and give the simplified form of C

Exercise 2: 1.25 pts

Mahamat is 14 years older than Yaya. In two years, he will be twice Yaya’s age. How old are they now?

Exercise 3: 1.5 pts

A plane is equipped with an orthogonal reference (0, i, j). The points A(-6, 0), B(4, 6), C(6,4) and D(3,1)

• a) Calculate the midpoint of the line segment [AB]
• b) Calculate the midpoint of the line segment [BC]
• c) Given the point N(1,3), calculate the coordinates of the vectors KL and KN




Exercise 4: 1.5 pts

The scores(x) of 60 candidates in a math test and their corresponding frequencies (f) are given on the table below

x	0	1	2	3	4	5	6	7	8	9	10
f	2	2	5	6	7	10	10	7	3	5	3

Find:
a) The median mark
b) The modal mark
c) The mean mark to 1 decimal place