Maths Workbook for CSEC

This CSEC® Maths Workbook is an invaluable activity book for CSEC® Maths students.

It covers all aspects of the Caribbean Examinations Council’s Certificate of Secondary Education Maths syllabus. It is a great aid to revision and examination practice.

The book features: • Questions and activities on all aspects of the Maths syllabus

CSEC® MATHS WORKBOOK

CSEC® MATHS WORKBOOK

CSEC MATHS ®

WORKBOOK

• Clear mark allocations to indicate the value of each question part • Clear diagrams, charts and graphs

About the author

Terry David

Answers are available online at www.collins.co.uk/caribbeanschools

Terry David has written several texts on Maths and Physics. He is a former teacher at St Joseph’s College, St Joseph, Trinidad and Tobago. He has prepared students for examinations privately for over 10 years and provides tutoring videos online.

CSEC® workbook range

the value of each question part

®

This CSEC® Chemistry Workbook is an invaluable activity book for CSEC® Chemistry students. It covers all aspects of the Caribbean Examinations Council’s Certificate of Secondary Education Chemistry syllabus. It provides excellent practice for the structured question from Paper 2 of the CSEC® Examination and is a great aid to revision and examination practice.

WORKBOOK The book features: • Questions and activities on all aspects of the Chemistry syllabus • Clear diagrams, charts and graphs for data analysis activities • Clear mark allocations to indicate the value of each question part

®

WORKBOOK

This CSEC® Physics Workbook is an invaluable activity book for CSEC® Physics students.

It covers all aspects of the Caribbean Examinations Council’s Certificate of Secondary Education Physics syllabus. It provides excellent practice for the structured questions from Paper 2 of the CSEC® Examination and is a great aid to revision and examination practice.

The book features:

• Questions and activities on all aspects of the Physics syllabus • Clear diagrams, charts and graphs for data analysis activities • Clear mark allocations to indicate the value of each question part Answers are available online at www.collins.co.uk/caribbeanschools

About the author Anne Tindale, the author, is an experienced author of texts and resources on Chemistry.

She has taught science to CSEC® levels with great success for many years and is currently Head of Science at St Winifred’s School, St Michael, Barbados.

About the author

Anne Tindale

Anne Tindale

Answers are available online at www.collins.co.uk/caribbeanschools

Terry David, the author, has written several texts on Physics. He is a former teacher at St Joseph’s College, St Joseph, Trinidad and Tobago. He has prepared students for the CXC examinations privately for over 10 years and provides tutoring videos online.

978-0-00-811601-9

WORKBOOK

CSEC® workbook range

CSEC® workbook range

978-0-00-811603-3

CSEC ® PHYSICS

Terry David

ollins.co.uk/caribbeanschools

nced author of texts and resources on Biology. s with great success for many years and is currently ol, St Michael, Barbados.

CSEC ®PHYSICS WORKBOOK CSEC CHEMISTRY

CSEC® PHYSICS WORKBOOK

ects of the Biology syllabus

s for data analysis activities

® CSEC CHEMISTRY WORKBOOK CSEC BIOLOGY

CSEC® CHEMISTRY WORKBOOK

valuable activity book for CSEC® Biology students. xaminations Council’s Certificate of Secondary excellent practice for the structured question from d is a great aid to revision and examination practice.

CSEC® BIOLOGY WORKBOOK

WORKBOOK

978-0-00-811602-6

978-0-00-811601-9

978-0-00-811603-3

978-0-00-811602-6

www.collins.co.uk/caribbeanschools

www.collins.co.uk/caribbeanschools

ISBN 978-0-00-811602-6

ISBN 978-0-00-811603-3

Anne Tindale 9 780008 116026

Anne Tindale 9 780008 116033

978-0-00-811601-9

978-0-00-811603-3

978-0-00-811602-6

Terry David

978-0-00-811603-3

www.collins.co.uk/caribbeanschools ISBN 978-0-00-814739-6

9 780008 147396

CSEC Maths Workbook GM 5mm spine.indd 1

Terry David

12/11/2015 22:59

CSEC MATHS ®

WORKBOOK Contents List 1

Computation ......................................................................................................................3

2

Number theory...................................................................................................................9

3

Consumer arithmetic ......................................................................................................15

4

Sets ....................................................................................................................................21

5

Measurement ....................................................................................................................27

6

Statistics ............................................................................................................................35

7

Algebra ............................................................................................................................. 43

8

Relations, functions and graphs ....................................................................................55

9

Geometry and trigonometry ......................................................................................... 77

10 Vectors and matrices .................................................................................................... 100

Terry David

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4 1

Sets The universal set, U, is defined as the set of integers between 4 and 22 inclusive.

A and B are subsets of U such that: A = {multiples of 3} B = {odd numbers}

2

a) State the number of elements in the universal set U.

[1]

b) List the members of the subset A.

[2]

c) List the members of the subset B.

[2]

d) Draw a Venn diagram to represent the relationships among A, B and U.

[3]

Sets A and B are defined as follows: A = {3, 5, 7, 9, 11, 13, 15, 17} B = {2, 4, 9, 11, 15} Determine: a) n(A)

[1]

21

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4

3

Sets (cont.) b) n(B)

[1]

c) A ∩ B

[1]

d) A ∪ B

[1]

Use the Venn diagrams to shade the appropriate region. a) A ∩ B

[1] U

A

B

b) A ∪ B

[1] U

A

B

c) A΄

[1] U A

B

22

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d) (A ∩ B)΄

[1] U

A

4

5

B

If set A = {2, 4, 6}: a) state the number of subsets of A

[1]

b) write the subsets of A

[2]

Classify each of the following as either finite or infinite sets. a) even numbers greater than 24

[1]

b) odd numbers between 25 and 35

[1]

c) real numbers greater than 4 but less than 18

[1]

d) multiples of 4

[1]

23

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5 1

Measurement The diagram below shows a circle of radius 6 cm. AOB = 120°. [Use π = 3.14]

O θ A

B

Calculate: a) the circumference of the circle

[2]

b) the area of the circle

[2]

c) the area of the minor sector OAB

[2]

d) the area of the triangle AOB

[2]

e) the area of the shaded region

[2]

27

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5

2

Measurement (cont.) f) the length of the minor arc AB

[2]

g) the length of the major arc AB

[2]

h) the perimeter of the shaded region

[2]

The diagram below, not drawn to scale, shows a glass prism of length 12 cm.

A

B

E

F

H

G

12 cm

6 cm D

8.2 cm

C

Calculate: a) the area of the cross-section ABCD

[2]

b) the volume of the prism

[2]

28

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6 1

Statistics A short mathematics quiz was used to test the mental abilities of 30 students in a Form 4 classroom. The results of the test are shown below.

2

7

2

1

3

6

8

2

3

8

4

9

8

5

6

5

4

3

6

6

1

6

4

6

1

3

6

6

2

4

a) Complete the following table.

Score (x) 1 2 3 4 5 6 7 8 9

[5]

Tally III

Frequency ( f ) 3

x×f 3

b) State the modal score.

[1]

c) State the median score.

[1]

d) Using the table, calculate the mean score.

[3]

e) A student is chosen at random from the Form 4 class. Determine the probability that the student scores greater than 5 in the quiz.

[2]

35

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6 2

Statistics (cont.)

A Biology class conducts an experiment to measure the height of a batch of seedlings that have been growing for several days. The data obtained from the experiment are as follows: Height (cm) 1–10 11–20 21–30 31–40 41–50 51–60

Number of seedlings 10 12 22 38 15 3

Cumulative frequency

a) Complete the table to include the cumulative frequencies.

[3]

b) Using an appropriate scale, draw the cumulative frequency graph for the data.

Use the graph paper provided on page 38.

[5]

c) Use your graph to determine the following: i) the lower quartile

[1]

ii) the median

[1]

iii) the upper quartile

[1]

iv) the interquartile range

[1]

v) the semi-interquartile range

[1]

d) Calculate the probability that a seedling chosen at random has a height: i) less than 35 cm

[1]

ii) greater than 42 cm

[1]

36

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6 3

Statistics (cont.)

Anya’s salary is $6000 per month. She budgets $1000 on rent, $900 on food, $300 on fuel for her car and $800 on utilities. The remainder is used for savings. You are required to illustrate this information in a pie chart. a) Complete the following table.

Item rent food fuel for her car utilities savings Total

[4]

Budgeted amount $1000 $900 $300 $800

Angle of sector in pie chart

$6000

b) Using a circle of radius 4 cm, construct a pie chart to illustrate the information.

[3]

38

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