Page 4 - 新思维数学活动用书4 样章

How to use this book

How to use this book

This workbook provides questions for you to practise what you have

learned in class. There is a unit to match each unit in your Learner’s Book.

Each exercise is divided into three parts:
• Focus: these questions help you to master the basics

• Practice: these questions help you to become more confident in using

what you have learned

• Challenge: these questions will make you think very hard.

Each exercise is divided into three parts. You might not need to work on all
of them. Your teacher will tell you which parts to do.

You will also find these features: 1 Numbers and
1.1 Counting and sequences
Important words that you the number system
Amy makes a number sequence.
7
difference linear sequence negative number
The first term of her sequence is 1.
will use. non-linear sequence rule sequence spatial pattern
Her term-to-term rule is ‘add 7’.
square number term term-to-term rule
Amy says, ‘If I keep adding 7, I will reach 77.’
1.1 Counting and sequences
Is Amy correct? Explain your answer.

Step-by-step examples Worked example 1

showing a way to solve The numbers in this sequence increase by 30 each time.
Here is part of a number sequence.
8
10, 40, 70, . . . Tip
The first number is missing.
a problem. The sequence continues in the same way. Remember
−5
−5
−5
Which number in the sequence is closest to 200? to work
287
297
292
backwards.

Write the missing number.
List the terms in the sequence.
9
A sequence has first term 1001 and last term 1041.
There are often The next terms in the sequence are:
The term-to-term rule is ‘add 5’.
+30
+30
+30
+30
100
130
70
40
many different 10 +30 Write down all the terms in the sequence. 160 +30 190 +30 220
200
ways to solve a Work out which term is
190 220 closest to 200.
10 Each number in this sequence is double the previous number.
problem. Answer: 190 is closest to 200.
Write the missing numbers.
, 3, 6, 12, 24, 48,
Challenge linear sequence negative number
These questions will help you difference
non-linear sequence rule sequence spatial pattern
11 Write the missing number in this sequence.
develop your skills of thinking square number
1, 3, 6, 10, term term-to-term rule

Explain how you worked it out.
and working mathematically.

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