Elective Mathematics

Question 1

1At a maximum point

Easy

A. d²y/dx² < 0 B. dy/dx < 0 C. y > 0 D. d²y/dx² > 0

Question 2

2sin(−θ) = −sin θ.

Medium

A. True B. False

Question 3

3The area of a triangle is always the determinant itself.

Medium

A. True B. False

Question 4

4The inverse of p → q is

Easy

A. ~q → ~p B. q → p C. p ∧ q D. ~p → ~q

Question 5

5A discrete variable X takes values 1, 2, 3 with probabilities 0.2, 0.5, 0.3. Find E(X).

Hard

A. 2 B. 6 C. 2.1 D. 1.5

Question 6

6The set of elements common to A and B is

Easy

A. A ∪ B B. A \ B C. A′ D. A ∩ B

Question 7

7The median of 6, 10, 14 is ___

Easy

Your answer (fill in the blank)

Question 8

8If f(2) = 0, then (x − 2) is a factor of f(x).

Easy

A. True B. False

Question 9

9Simplify √50 − √18.

Easy

A. 2√2 B. √32 C. 8√2 D. 4√2

Question 10

10Weight is

Easy

A. mass B. density C. the force of gravity on a body D. volume