MST124/D- ESSENTIAL MATHEMATICS 1, 201706 |

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MST124/D- ESSENTIAL MATHEMATICS 1, 201706

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Open University Mathematics Past Papers BSc, MSc

PAPER TITLE: ESSENTIAL MATHEMATICS 1

EXAM DATE: TUESDAY 12, SEPTEMBER 2017

COURSE CODE: MST124/D

Question 1

Which of the following is equivalent to ?

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

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Answer: E

Question 2

Which of the following is equivalent to ?

Question 3

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

Question 4

Which of the following is equivalent to ?

Question 5

What is the gradient of the straight line passing through the points ?

Question 6

Which of the following could be the graph of the equation y = ?

Question 7

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

Question 8

Which of the following is a factor of ?

Question 9

Which of the following is a graph of a .

Question 10

What is the image set of the

Question 11

Which of the following transformations will change the graph of the function f(x) = to the graph of the function ?

Question 12

Which of the following is equivalent to ?

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 . The shorter of the two sides adjacent to this angle has length 10.

What is the length, to one decimal place, of the side that is opposite the angle of size , which is labelled a in the diagram?

Question 15

The triangle below (which is not drawn to scale) has sides of lengths 2, 4 and 5.

What is the size, to the nearest degree, of the angle θ opposite the side of length 5 ?

Question 16

The triangle below (which is not drawn to scale) has angles of sizes and . The side opposite the angle of size has length 4.

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

Question 17

Which of the following is equivalent to ?

Question 18

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

Question 19

What anticlockwise angle does the vector i − 4j make with the positive direction of the x-axis, 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

Which of the following is the derivative of ?

Question 23

Which of the following is the derivative of ?

Question 24

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

Question 25

For a certain function, it is known that , what is .

Question 26

Which of the following is equal to

Question 27

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

Question 28

If P = Q = - and R =

which of the following is defined?

Question 29

If S = and T = , what is ST

Question 30

What is the inverse of the matrix ?

Question 31

Which of the following is a closed form for arithmetic sequence (an) with first four terms

Question 32

What is the sum of the geometric series

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 ZW?

Question 35

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