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Number Patterns; Functions and Relationships

Total questions: 85

Worksheet time: 2hrs 33mins

Name
Class
Date
1.
320, 340, 360, 
What is the next number in the pattern?
a)
54
b)
400
c)
380
d)
370
2.
How would you describe this pattern's rule?
65, 62, 59, 56, 53, 50
a)
Subtract 2
b)
Subtract 3
c)
Subtract 4
d)
Add 3
3.
Find the missing numbers.
520, ____, 560, 580, ____
a)
540, 590
b)
540, 600
c)
525, 590
d)
510, 590
4.
11, 9, 7, 5, ..
a)
7
b)
4
c)
3
d)
2
5.
How would you describe this pattern's rule?
4, 11, 18, 25, 32, 39
a)
Add 8
b)
Add 6
c)
Subtract 8
d)
Add 7
6.
What is the pattern rule for this pattern? 
2, 4, 8, 16, 32, 
a)
Start at 2. Add 2 each time. 
b)
Start at 2. Add 2 more each time. 
c)
Start at 2. Double the number each time. 
d)
Start at 2. Add 16 each time. 
7.
Find the rule of the number pattern
.5, 3, 5.5, 8, 10.5
a)
Add 2
b)
Add 2.5
c)
Multiply 2
d)
None of the Above
8.

5, 10, 15, 20, 25, ____, ____, ____

a)

30, 35, 40

b)

65, 35, 116

c)

26, 27, 28

d)

20, 15, 10

9.
What is the pattern rule for this pattern? 
50, 45, 40, 35, 30, 25
a)
Start at 25. Add 5 each time. 
b)
Start at 50. Subtract 5 each time. 
c)
Start at 25. Add 10 each time. 
d)
Start at 50. Add 5 each time. 
10.
What number is missing in this pattern?
327, 333, 339, ____, 351, 357
a)
340
b)
344
c)
345
11.
How would you describe this pattern's rule?
4, 11, 18, 25, 32, 39
a)
Add 8
b)
Add 6
c)
Subtract 8
d)
Add 7
12.
What numbers are missing from the number sequence?
120, 122, _____, 126, 128, _____, 132
a)
120 and 125
b)
124 and 130
c)
130 and 135
d)
122 and 130
13.
Which number sequence follows the rule -3?
a)
12, 9, 6, 3, ...
b)
12, 15, 18, 21, ...
c)
3, 6, 9, 12, ...
d)
10, 8, 6, 4, ...
14.
10,20,30,40...........,...........,
a)
636 939
b)
50,60
c)
none of the aboves
d)
45,67
15.
2,4,6,8,10,........,......,  
a)
12,14,
b)
14 1627
c)
12 13 18
d)
51 61 19
16.

5, 10, 15, 20, 25, ____, ____, ____

a)

30, 35, 40

b)

65, 35, 116

c)

26, 27, 28

d)

20, 15, 10

17.
12, 14,16,18................,..................,
a)
14,12
b)
200,13
c)
100,18
d)
none of the aboves
18.
True or False? The Rule in the pattern is Divide by 3
135, 45, 15, 5
a)
True
b)
False
19.
Find the Next number in the pattern
3, 3, 6, 6, 12, 12, 24….
a)
3
b)
26
c)
48
d)
24
20.
True or False:
The rule of this number pattern is multiply by half
48, 24, 12, 6, 3
a)
False
b)
True
21.
What are the next 2 numbers of this pattern?
23, 27, 31, 35, ___, ___
a)
37, 39
b)
40, 45
c)
39, 43
d)
38, 41
22.
34, 40, 46, ____, ____
What is the fifth number in the pattern?
a)
60
b)
52
c)
58
d)
34
23.
320, 340, 360, 
What is the next number in the pattern?
a)
54
b)
400
c)
380
d)
370
24.
How would you describe this pattern's rule?
65, 62, 59, 56, 53, 50
a)
Subtract 2
b)
Subtract 3
c)
Subtract 4
d)
Add 3
25.
If the pattern continues, what would the next three numbers be?
110, 100, 90, ____, ____, ____
a)
90, 80, 70
b)
85, 80,75
c)
80, 70, 60
d)
100, 110, 120
26.
Find the missing numbers.
215, ____, ____, 515, 615
a)
220, 230
b)
240, 340
c)
320, 420
d)
315, 415
27.
Complete the pattern: 90, 80, 70, 60, ___, 40
a)
20
b)
50
c)
70
d)
40
28.
210, 225, 240, 255, ____, ____ 
What is the sixth number in the pattern?
a)
270
b)
260
c)
285
d)
300
29.
4, 8, 16, 32 What rule was used to make this pattern?
a)
Add 2
b)
Multiply by 2
c)
Add 4 
d)
Multiply by 4
30.
320, 340, 360, 
What is the next number in the pattern?
a)
54
b)
400
c)
380
d)
370
31.
34, 40, 46, ____, ____
What is the fifth number in the pattern?
a)
60
b)
52
c)
58
d)
34
32.
Mrs. Hunt wrote the following number pattern: 37, 30, 23, 16, 
What number would come next if the pattern continued?
a)
15
b)
5
c)
9
d)
10
33.
How many counters would come next?
a)
5
b)
7
c)
9
d)
11
34.
What is the Pattern?
a)
The next term will have 16 blocks
b)
The next term will have 15 blocks.
c)
The next term will have 14 blocks.
d)
This is the end of the pattern.
35.
a)
This pattern is increasing by one block every term.
b)
This pattern is increasing by 2 blocks every term.
c)
This pattern is increasing by 3 blocks every term.
d)
Let's Select Green Because Green Means "GO to the Next Question"
36.
How many cubes would come next?
a)
4
b)
5
c)
1
d)
0
37.
How many tiles would be in the 12th term?
a)
73
b)
66
c)
72
d)
19
38.
Create a rule for the sequence:
2, 8, 14, 20, ...
a)
an= 6n+2
b)
an= 2n+6
c)
an= 6n-4
d)
an = n+6
39.
What are the first 4 terms of...
an = 2-3n
a)
2, -1, -4, -7
b)
3, 1, -1, -3
c)
3, 0, -3, -6
d)
-1, -4, -7, -10
40.
What is the 100th term in the following pattern:
6, 9, 12, 15, 18,...
a)
T100 = 303
b)
T100 = 603
c)
T100 = 306
d)
T100 = 606
41.

7) Martin used a certain rule to create this arithmetic pattern.

2, 23, 44, 65, 86

Which of these patterns follows the same rule as Martin's pattern?

a)

3, 21, 147, 1029, 7203

b)

1, 22, 44, 67, 91, 116

c)

7, 28, 49, 70, 91

d)

21, 42, 84, 168, 336

42.
How many of the blue squares will be in the 5th design?
a)
9
b)
12
c)
16
d)
25
43.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
44.
Which kind of sequence has a common difference?
a)
Arithmetic
b)
Geometric
45.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
46.
Is the sequence geometric or arithmetic?
3, 6, 9, 12...
a)
Arithmetic
b)
Geometric
c)
Neither
47.
What kind of sequence is the pattern 15, 17, 20, 24, 29, ...?
a)
Arithmetic
b)
Geometric
c)
Neither
48.
What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?
a)
Arithmetic
b)
Geometric
c)
Neither
49.
Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}
a)
Arithmetic
b)
Geometric
c)
Neither
50.
Dividing by 12 is the same as ...
a)
× 12
b)
÷ 1/12
c)
× 1/12
d)
+ 12
51.

The 6th term of the series 11,8,5,2 is

a)

-4

b)

-1

c)

1

d)

2

52.

What is the rule for the sequence below?

5, 25, 125, 625...

a)

common difference of 25

b)

common difference of 5

c)

common ratio of 25

d)

common ratio of 5

53.

What is the rule for the following sequence?

36, 33, 30, 27, ...

a)

common difference of 3

b)

common difference of -3

c)

common ratio of 3

d)

common ratio of -3

54.

What is the rule for the sequence below?

-6, -1, 4, 9...

a)

common ratio of 5

b)

common ratio of -5

c)

common difference of -5

d)

common difference of 5

55.
Which pattern follows the rule below?   Rule: Start with 2 and add 4 each time until
there are 5 numbers
a)
2, 4, 8, 12, 16
b)
2, 6, 10, 14, 17
c)
.  2, 6, 10, 14, 18
d)
2, 6, 11, 15, 19
56.
Which pattern follows the rule below?
Rule: Start with 10 and add 6 each time until there are 8 numbers
a)
10, 16, 22, 27, 34, 40, 46, 52
b)
10, 16, 22, 28, 33, 39, 45, 51
c)
10, 16, 22, 28, 34, 40, 46, 52
d)
10, 16, 21, 27, 33, 39, 45, 51
57.
Which pattern follows the rule below?   Rule: Start with 3 and add 7 each time until
there are 4 numbers.
a)
3, 10, 17, 22
b)
3, 10, 17, 24
c)
3, 10, 16, 23
d)
3, 11, 18, 25
58.
Which pattern follows the rule below?   Rule: Start with 4 and multiply by 2 each time until there are 5 numbers.
a)
 4, 8, 16, 34, 64
b)
4, 8, 16, 32, 64
c)
4, 8, 16, 36, 72
d)
4, 8, 18, 36, 72
59.
Rule: Start with 5 and add 5 until there are 10 numbers.  5, 10, 15, 20, 25, 30, 35, 40, 45, 50  Which is true about this number pattern?
a)
All the numbers are multiples of 10.
b)
All the numbers are multiples of 10.
c)
The difference of two numbers next to each
other is always even.
d)
 The difference of two numbers next to each
other is always odd.
60.
Rule: Start with 8 and add 4 until there are 8 numbers.  8, 12, 16, 20, 24, 28, 32, 36 Which is NOT true about this number pattern?
a)
All the numbers are multiples of 4.
b)
All the numbers are multiples of 8
c)
The ones digits are all even numbers.
d)
 Some numbers were made by adding two
even numbers together.
61.
How many cubes would be in the next shape?
a)
15
b)
16
c)
17
d)
18
62.
Identify the common difference.
-21, -18, -15, -12, ...
a)
4
b)
3
c)
-4
d)
-3
63.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
64.
What are the next 3 terms in this sequence of terms? 3, 7, 11, 15
a)
18, 22, 26
b)
19, 21, 23
c)
19, 23, 27
d)
18, 21, 24
65.
These are the first three terms of an arithmetic sequence:
{½,  ¾,  1,  ... }
What are the fourth and fifth terms of the sequence?
a)
5/4,  7/4
b)
5/4,  3/2
c)
3/2,  5/2
d)
3/2,  2
66.
If you extended the pattern, how many dots would come next?
a)
16
b)
20
c)
25
d)
30
67.

Write the equation that represents the pattern. (Make a table if it helps)

a)

y=2x

b)

y=2x+5

c)

y=2x+2

d)

y=3x+2

68.

Write the equation that represents the pattern. (Make a table if it helps)

a)

y=2x+1

b)

y=2x-1

c)

y=2x

d)

y=1x+2

69.
If my function rule is 4x, what is the OUTPUT if the input is 5?
a)
45
b)
54
c)
9
d)
20
70.
If my function rule is x + 3, what is the OUTPUT if the input is 4?
a)
4
b)
3
c)
7
d)
10
71.
If my function rule is 2x + 1, what is the OUTPUT if the input is 2?
a)
5
b)
4
c)
22
d)
23
72.
If my function rule is x - 5, what is the OUTPUT if the input is 14?
a)
9
b)
19
c)
21
d)
1
73.

If my function rule is x÷3, what is the OUTPUT if the input is 12?

a)

9

b)

4

c)

3

d)

36

74.
If my function rule is x - 4, what is my INPUT if the output is 7?
a)
11
b)
10
c)
3
d)
7
75.
If my function rule is x + 8, what is my INPUT if the output is 20?
a)
10
b)
12
c)
8
d)
28
76.
If my function rule is x ÷ 2, what is my INPUT if the output is 3?
a)
6
b)
12
c)
1.5
d)
1
77.
What is the rule of this function? 
a)
+1
b)
-1
c)
/1
d)
x1
78.
What is the rule of this function? 
a)
+1
b)
-1
c)
/1
d)
x1
79.
Find the rule.
a)
The output is: t + 6
b)
The output is: t + 2
c)
The output is: t x 2
d)
The output is: t - 6
80.
What is the rule?
a)
Multiply by 4
b)
Add 4
c)
Multiply by 3
d)
Add 3
81.
What is the rule?
a)
Add 2
b)
Add 3
c)
Multiply by 3
d)
Multiply by 4
82.
For the function, y = 5x + 1, what is the output when the input is -2?
a)
y = 9
b)
y = 11
c)
y = -11
d)
y = -9
83.
For the function, y = 2x2, what is the output for an input of -1?
a)
y = 2
b)
y = -2
c)
y = 4
d)
y = -4
84.
For the function, y = 2x2, what is the output for an input of 3?
a)
y = 12
b)
y = 18
c)
y = -10
d)
y = 5
85.
For the function , y = 2x - 1, what is the output when the input is -5?
a)
y = -9
b)
y = -11
c)
y = 9
d)
y = 11