maths grade 6 practice test 1

8/3/2019 Maths Grade 6 Practice Test 1

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Secondary One Express Mathematics

Chapter 1 Factors And Multiples

1.1 Primes, Prime Factorisation and Index Notation

Objectives: a) To be able to recognize prime numbers.

b) To be able to express a composite number as a product of prime factors

c) To know how to represent the prime factorisation of a number in index notation

References: Textbook 1A Chapter 1.1 page 2

Workbook Chapter 1

Discovering Maths Questions Bank (DMQB)Past Years O-level Examination Partial Question

Factors And Multiples

To understand the concept of factors, take a number say 12. The number can be expressed as a

product of two equal or smaller whole numbers as shown below. Each of the equal or smaller

whole numbers is a factor of 12.

On the reverse,

1

Teachers Copy

Name: ______________________

Class: ________ Date: _________

Score: _______/40 = _______%

12 1 12

12 2 6

12 3 4

=

=

=

Each of the whole numbers

1, 2, 3, 4, 6 and 12is known as the factor of 12 because 12

is divisible by each of them to give a

whole number result.

1 12 12

2 6 12

3 4 12

=

=

=

The whole numbers 12 is the multiple of

the whole numbers 1, 2, 3, 4, 6 and 12

When a non-zero whole number is multiplied by a non-zero whole number such as

1x12, 2x6 or 3x4, the results so obtained is known as the multiple 12 of each of the whole

numbers.


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Example (Try It 1!) Solution:

Prime Numbers

Examples of prime numbers are: 2 (2 1 2) =

3 (3 1 3) =

5 (5 1 5) =

7 (7 1 7) =

Composite Number

Examples of composite numbers are: 4 (4 1 2 2) =

6 (6 1 2 3) =

10 (10 1 2 5) =

Example (Try It 2!) Solution:

2

Read Textbook1A page 2 Example 1.

Then do Try It 1 below with the teacher.

A prime number is a whole number greater than 1 that has only

two factors, 1 and itself.



A composite number is a whole number greater than 1 that hasmore than two factors.


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Prime Factorisation

Example Try It 3 solution.

Index Notation

(Used to express the product of repeated whole numbers)

Example of index notation,

4

6 6 6 6 6 =

Example Try It 4 solution.

3

Prime Factorisation is the way to express a composite number as a

product of prime factors only.



4

6is the index notation of6 to the power of 4,

where 6 is the base of the notation and 4 is theindex

index

base




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Answers to Practice 1.1

4

Practice 1.1 (Classroom Work) based on Text Book Exercise 1.1

Please Do on foolscap paper Question 3 from page 6, Questions 4, 5, 6, 9, 11a and

13 from page 7.

Your answers to be attached to this handout.

Question 3

Question 4


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5

Question 5 Question 6

Question 9 Question 11a

Question 13


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Assignment 1.1 (To do in class and/or complete as Homework)

Answer all questions

Questions From Textbook Exercise 1.11. Answer Question 19 from page 8 2. Answer Question 21 from page 8

3. Answer Question 22 from page 8

Workbook Chapter 1 Questions

4.

(WB CHAP 1 Q1ab)

6

Question 19 Solution Question 21 Solution

Question 22 Solution


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5.

WB CHAP 1 Q2ab

6.

WB CHAP 1 Q3ab

7.

WB CHAP 1 Q4abQuestions From Discovering Mathematics Questions Bank (DMQB)

8.

DMQB CHAP 1 Q1a

9.

DMQB CHAP 1 Q2a

7


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10.

DMQB CHAP 1 Q28

11.

DMQB CHAP 1 Q30

12

DMQB CHAP 1 Q38

O-Level Examination Partial Question

13.

8

Written as the product of its prime factors, 3 2300 2 3 5= .

(a) Write 108 as the product of its prime factor.N2006P1Q8a

Solution: N2006P1Q8a

(a) 2 3108 2 3=

maths grade 6 practice test 1

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