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Worksheets

Linear patterns

Total questions: 40

Worksheet time: 25mins

Name
Class
Date
1.

What shape is the 10th tiles?

a)

Triangle

b)

Square

c)

Circle

2.

What colour is the 15th tiles?

a)

Green

b)

Blue

c)

Red

3.

What colour and shape is the 37th tiles?

(a)  

4.

How many times does the green circle appear in the first 27 shapes?

(a)  

5.

Which of these is not a linear sequence?

a)

3,5,7,9........

b)

5,10,15,20........

c)

6,12,24,48.......

d)

7,12,17,22........

6.

What is the next term in this sequence.


2, -1. -4. -7.....

a)

-4

b)

-10

c)

-3

d)

-11

7.

How many squares are added each figure?

a)

1

b)

2

c)

3

d)

4

8.

How many squares will be in the next figure?

a)

13

b)

17

c)

15

d)

19

9.

How many squares are being added each figure?

a)

1

b)

2

c)

3

d)

4

10.

In the pattern: 4, 7, 10, 13, 16,... what would the term number be if our term is 22?

a)

term 5

b)

term 6

c)

term 7

d)

term 8

11.

In the pattern: 4, 7, 10, 13, 16,... which expressions would represent the pattern with 4 as our 1st term?

a)

3n +1

b)

3n

c)

3n -1

d)

3n + 4

12.

In the pattern: 4, 8, 12, 16, 20,... which expressions would represent the pattern as our general term?

a)

4x

b)

4x + 4

c)

4x - 4

d)

2x +4

13.

In the pattern: 7, 4, 1, -2, -5,...

What would the 6th term be?

a)

-5

b)

-8

c)

-6

d)

-11

14.

In the pattern: 7, 4, 1, -2, -5,...

What would the term number be if the term was -38?

a)

15

b)

14

c)

17

d)

16

15.

What expression would represent the following pattern:

7, 4, 1, -2, -5,...

a)

-3x + 10

b)

-3x

c)

-3x + 7

d)

-3x - 10

16.

What expression would represent the following pattern:

7, 4, 1, -2, -5,...

a)

-3n + 10

b)

-3n

c)

-3n + 7

d)

-3n - 10

17.

In the pattern: 7, 4, 1, -2, -5,...

What would the term number be if the term was -38?

a)

15

b)

14

c)

17

d)

16

18.

What expression would represent the following pattern:

7, 5, 3, 1, -1,...

a)

-2n + 9

b)

2n + 5

c)

-2n +5

d)

-3x - 10

19.

7, 14, 21, 28, 35

a)

Linear

b)

Non-Linear

20.

Start at 6, add 10 each time.

a)

Linear

b)

Non-linear

21.

Is this pattern linear?

a)

Linear

b)

Non-linear

22.

1, 5, 25, 125, 625

a)

Linear

b)

Non-Linear

23.
a)

Linear

b)

Non-Linear

24.
a)

Linear

b)

Non-Linear

25.

Multiply the term number by 4, add 1.

a)

Linear

b)

Non-linear

26.
a)

Linear

b)

Non-Linear

27.

10, 16, 22, 28, 34

a)

Linear

b)

Non-Linear

28.

Square the term number.

a)

Linear

b)

Non-Linear

29.
a)

Linear

b)

Non-Linear

30.

20, 40, 60, 80, 100

a)

Linear

b)

Non-Linear

31.
The sum of 6 and x
a)
x + 6
b)
6/x
c)
x + 4
d)
6x
32.
 Y divided  by 5 
a)
y/5 
b)
6 X y/5
c)
6/5x
d)
5x/6
33.
Evaluate 2r + 1      if   r = 3
a)
6
b)
5
c)
7
d)
8
34.
Evaluate the expression.    Let     c = 3     d = 2
3c + 7d
a)
27
b)
21
c)
29
d)
23
35.

What is the nth term for the sequence

4, 9, 14, 19, 24, ....

a)

5n+1

b)

n+5

c)

5n-1

d)

5n+4

36.

Find the nth term of the following sequence...


5, 9, 13, 17...

a)

4n+1

b)

4n-1

c)

n+4

d)

n-4

37.

Find the nth term of the following sequence...


2, 5, 8, 11...

a)

3n-1

b)

3n+1

c)

n+3

d)

n-1

38.

Find the nth term of the following sequence...


7, 16, 25, 24...

a)

9n-2

b)

9n+2

c)

9n-3

d)

9n+3

39.

Find the nth term of the following sequence...


-4, -1, 2, 5...

a)

7n+3

b)

7n-3

c)

3n+7

d)

3n-7

40.

Find the nth term for the following sequence:


29, 28, 27, 26, 25, ...

a)

29n - 1

b)

-n + 29

c)

-n + 30