Patterns And Relations Worksheet - Grade 7 Page 20
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461. i)
For each number pattern, how is each term related to the term number?
ii) Let n represent any term number. Write a relation for the term.
a)
1
2
3
4
5
6
Term Number
2
4
6
8
10
12
Term
b)
1
2
3
4
5
6
Term Number
Term
3
4
5
6
7
8
c)
Term Number
1
2
3
4
5
6
Term
8
16
24
32
40
48
d)
1
2
3
4
5
6
Term Number
6
7
8
9
10
11
Term
There are n students in a class. Write a relation for each statement.
2.
a) the total number of pencils, if each student has three pencils
b) the total number of desks, if there are two more desks than students
c) the total number of geoboards, if each pair of students shares one geoboard
d) the total number of stickers, if each student gets four stickers and there are ten
stickers left over
A person earns $10 for each hour worked.
3.
a) Write a relation for her earnings for n hours of work.
b) How much does she earn for 30 h of work?
4. a)
Write a relation for the perimeter of a square
with side length n centimetres.
n
b) What is the perimeter of a square with
side length 12 cm?
c) Suggest a situation that could be represented
by each relation.
i) 3s is related to s
ii) 8t is related to t
Suggest a real-life situation that could be represented by each relation.
5.
a) n
5 is related to n
b) 15
2p is related to p
c) 3t
1 is related to t
How do you know each situation fits the relation?
23
1.4 Relationships in Patterns
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