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South Taveuni Secondary School Year 11 Annual Examination 2018.

By:   •  March 9, 2019  •  Term Paper  •  10,665 Words (43 Pages)  •  825 Views

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SOUTH TAVEUNI SECONDARY SCHOOL

YEAR 11 ANNUAL EXAMINATION 2018

MATHEMATICS

Time Allowed: 3 hours

(An extra 10 minutes is allowed for reading this paper.)

INSTRUCTIONS 

1.         Write all your answers in the Answer Booklet provided.

2.         Write your Name and Year Level on the front page of the Answer Booklet.

3.         If you use extra sheets of paper, be sure to show clearly the question number(s) being

answered and secure each sheet in your Answer Booklet at the appropriate places.

Ensure that your Name and Year Level are written on the extra sheets.

4.         Answer all the questions with a blue or black ballpoint pen or ink pen. Do not use

red ink. You may use a pencil only for drawing.

5.         You may use a calculator, provided it is silent, battery-operated and non-programmable.

6.         Round off answers to 2 decimal places where applicable. Rounding off decimal answer

should be done only at the final step.

7.         There are two sections in the paper. Both sections are compulsory.

Note:

  • Diagrams in this paper are not drawn to scale.
  • Formulae are given on page 14.

SUMMARY OF QUESTIONS

STRANDS

MARKS

SUGGESTED TIME

1

Basic Maths

12

22 minutes

2

Algebra

25

45 minutes

3

Relations

6

10 minutes

4

Graphs

11

20 minutes

5

Coordinate Geometry

9

16 minutes

6

Trigonometry

12

22 minutes

7

Statistics

12

22 minutes

8

Probability

6

10 minutes

9

Calculus

7

13 minutes

TOTAL

100

180 minutes

STRAND 1                                  BASIC MATHEMATICS                                         [12 marks]

  • This strand has 6 Questions.
  • Choose the best answer and write the letter of your choice for Questions 1 - 2.
  • Show all working for Questions 3 - 6.

1.        The table shows the results for T = {2, 4, 6} under the operation ●. If 6 ● y = 4 they y is        

                 [pic 1]                                                       (1 mark)

A.        2                        B.        4                          C.          6                         D.          8        

2.        If   a       and b = 7, then the value of a is                                         (1 mark)[pic 2][pic 3][pic 4][pic 5]

A.        35                  B.          70                         C.    140                   D.           280

3.        Make g the subject of the formula in:

                a                                                                                  (2 marks)[pic 6][pic 7]

4.        A four piece dining table is priced at $775 before being put on sale. The salesperson retailer realises that the table is overpriced and decides to reduce the price by $25 each day in an attempt to sell it.

How many days would it be before the table could be bought for $50.00?                          (2 marks)

5.         An empty rectangular water tank is shown below.

[pic 8]

 (i)         Calculate the volume of the tank.                                                         (1 mark)

(ii)         The tank is to be filled at the rate of 4000 litres per minute. How long will it take to fill this tank?                                                                                         (1 mark)

6.        The table given below shows the set {a, b, c} and the operation[pic 9].

Use the table to answer parts (i) – (iv)

[pic 10]

(i)        Is the operation closed under the operation[pic 11]?                                              (1 mark)

(ii)        What is the identity element?                                                                               (1 mark)

(iii)        Give the inverse of b.                                                                                      (1 mark)

(iv)        Evaluate (a[pic 12]b) [pic 13](c[pic 14]a) =                                                                       (1 mark)

STRAND 2                                             ALGEBRA                                         [25 marks]

  • This strand has 13 Questions.
  • Choose the best answer and write the letter of your choice for Questions 1 - 3.
  • Show all working for Questions 4 - 13.

1.        Which of the following is the factorised form of x2 – 1?                                        (1 mark)

A.         (x2 – 1) (x 2 +1 )                                 B.         (1 – x 2 ) (1 + x 2 )

C.         ( x – 1) (x + 1)                                 D.         (1– x) (1+ x)

...

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