Mock exam paper D Paper 1

Name

Total Marks:

School

Teacher

Pre-Junior Certificate Examination, 2014

Mathematics – Higher Level

(Project Maths – Phase no. 2)

Paper I (300 marks)

Time: 2 hours

Attempt ALL questions.

For examiner

Question

Mark

Question

Mark

1

11

2

12

3

13

4

14

5

15

6

Grade:

7

8

9

10

Total

Instructions

There are fifteen questions on this examination paper.

Answer all questions.

Questions do not necessarily carry equal marks. To help you manage your time during this examination, a maximum time for each question is suggested. If you remain within these times, you should have about 15 minutes left to review your work.

Write your answers in the spaces provided in this booklet. There is space for extra work at the back of the booklet. You may also ask the superintendent for more paper. Label any extra work clearly with the question number and part.

The superintendent will give you a copy of the booklet of Formulae and Tables. You must return it at the end of the examination. You are not allowed to bring your own copy into the examination.

Marks will be lost if all necessary work is not clearly shown.

Answers should include the appropriate units of measurement, where relevant.

Write the make and model of your calculator(s) here:

Question 1 (10 minutes)

  1. (i) Complete the table by writing either ‘yes’,‘no’ or “n/a” (for not applicable) into each box indicating whether each expression is commutative, associative and/or distributive.

(Five boxes have already been filled in).

x, y, z N

Expression

Commutative

Distributive

Associative

3x + 5y2

yes

n/a

n/a

x + y - 3z

(2x + 5x) + 6x

yes

3(2x – 3z)

yes

2(y + (-3))

(ii) In the case of 2(y + (-3)) explain your reasoning.

  1. Solve the following equation, giving your answer in the form a + b

Question 2 (10 Minutes)

Out of 30 students, 10 are studying German and 12 are studying music.

  1. If 2 students are in both classes, how many students are in neither class?
  1. Complete the Venn diagram below.

(c) How many students are in both german and music together or one of the subjects...

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