Premium Resources

PAPER TITLE: ESSENTIAL MATHEMATICS 1

EXAM DATE: WEDNESDAY 12, JUNE 2019

COURSE CODE: MST124/E

Question 1

Which of the following is equivalent to  ?

ANSWERS(Purchase full paper to get all the solutions):

 

Expand

 

 

Answer: D

 

Question 2

Which of the following is equivalent to 

Question 3

If    , where a > 1, which of the following is equal to a ?

Question 4

Which of the following is equivalent to   ?

Question 5

Which of the following could be the graph of the equation y = −3x – 4?

Question 6

What is the y-intercept of the line with the equation

Question 7

Consider the following simultaneous equations:

Question 8

When the quadratic expression  is written in the completed-square form , what is the value of s ?

Question 9

What is the image set of the

   ?

Question 10

The graph of a function f  is shown below.    

     

Question 11

What is the rule of the inverse function of   ?

Question 12

Which of the following is equivalent to  where x > 0 ?

Question 13

Which of the following is equivalent to the inequality  

Question 14

The right-angled triangle below (which is not drawn to scale) has an angle of size  and a hypotenuse of length 5. What is the length, to one decimal place, of the side, labelled as a, adjacent to the angle of size 750  in the diagram?

Question 15

The triangle below (which is not drawn to scale) has sides of lengths 6, 7 and 8

What is the size, to the nearest degree, of the angle θ opposite the side of length 7 ?

 

Question 16

The triangle below (which is not drawn to scale) has angles of sizes and . The side opposite the angle of size 550 has length 9.

What is the length, to one decimal place, of the side, labelled as a, opposite the angle of size  ?

Question 17

How many values of θ in radians between - satisfy sin θ = 1/5?

Question 18

What is the distance between the points (1, 4) and (3, −4) ?

Question 19

What anti-clockwise angle does the vector −i + 2j make with the positive direction of the x-axis, given to the nearest degree ?

Question 20

 What is the derivative of ?

Question 21

Which of the following is the x-coordinate of a stationary point of ?

Question 22

What is the derivative of  ?

Question 23

What is the second derivative of ?

Question 24

Which of the following, where c is an arbitrary constant, is equal to

Question 25

For a certain function f , it is known that ,  and . what is - .

Question 26

Which of the following is equal to

 

Question 27

Which of the following is equal to   ?

Question 28

If P =  and Q =  what is 2P – 3Q?

Question 29

If T =  what is

Question 30

What is the determinant of the matrix   ?

Question 31

What is the sum of the arithmetic series 18 + 21 + 24 + 27 ... + 900?

Question 32

Which of the following is true for the sequence ( ) given by

 (n = 0, 1, 2...) ?

Question 33

Which of the following is a solution of the equation ?

Question 34

If z =  and w =  which of the following is equal to z/w?

Question 35

A snail crawls from point A to point B and then to point C. The displacement of B from A is −3i − 2j and the displacement of C from B is i + j, where i and j are unit vectors pointing east and north respectively. What is the bearing of the final position of the snail from its initial position, given to the nearest degree?

Question 36

The displacement s (in metres) of an object in terms of time t (in seconds) is given by the expression

           

What is the velocity (in metres per second) of the object at time t = 2?

Question 37

What is the derivative of ?

Question 38

What is the derivative of  ?

Question 40

Which of the following, is equal to ?

Question 41

What is the coefficient of  in the expansion of ?

Question 42

What is the Cartesian form of the complex number ( −1 − i)  ?

(Purchase full paper by adding to cart)

Last updated: Sep 02, 2021 01:10 PM

add to cart ← Back