Patterns and Functions Quiz: Test Your Skills in 4th Grade Math

Question 1

A number pattern is given: 3, 7, 11, 15, 19, ... Which equation matches this pattern?

Accepted Answer

y = x + 4

Answer

y = x - 4

Answer

y = 2x + 1

Question 2

Which equation below shows the relationship between variables x and y, where y is twice the value of x?

Accepted Answer

y = 2x

Answer

y = x + 2

Answer

y = x / 2

Answer

y = 2 / x

Question 3

Which of the following is an example of a repeating number pattern?

Accepted Answer

2, 4, 6, 8, 10

Answer

1, 2, 3, 4, 5

Answer

1, 3, 5, 7, 9

Question 4

Which graph represents a proportional relationship?

Accepted Answer

[Diagram of a straight line passing through the origin]

Answer

[Diagram of a straight line not passing through the origin]

Answer

[Diagram of a curve]

Answer

[Diagram of a circle]

Question 5

Which shape pattern below shows a geometric pattern?

Accepted Answer

Triangle, Square, Pentagon, Hexagon, Heptagon

Answer

5, 10, 15, 20, 25

Answer

1, 4, 9, 16, 25

Answer

Monday, Tuesday, Wednesday, Thursday, Friday

Question 6

What is the rule for the number pattern: 2, 4, 8, 16, 32?

Accepted Answer

Multiply by 2

Answer

Divide by 2

Answer

Add 2

Answer

Subtract 2

Question 7

Which of the following is an example of a variable?

Accepted Answer

x

Answer

5

Answer

100

Answer

Tuesday

Question 8

Look at the pattern: 1, 2, 4, 8, 16. What is the common ratio?

Accepted Answer

2

Answer

4

Answer

8

Answer

16

Question 9

What comes next in this geometric pattern: Square, Triangle, Square, Triangle,...?

Accepted Answer

Square

Answer

Triangle

Answer

Circle

Answer

Rectangle

Question 10

Which of the following is an example of a function?

Accepted Answer

The number of students in a class

Answer

The temperature outside

Answer

The length of a person's hair

Answer

The color of a car

Question 11

What is the domain of the function f(x) = 1 / (x - 2)?

Accepted Answer

All real numbers except for 2

Answer

All real numbers

Answer

All positive real numbers

Answer

All negative real numbers

Question 12

Which of these shows a pattern of shapes?

Accepted Answer

Square, circle, triangle, square, circle

Answer

1, 3, 5, 7, 9

Answer

Monday, Tuesday, Wednesday, Thursday, Friday

Answer

Hot, cold, hot, cold, hot

Question 13

Which number sentence matches this sequence: 1, 4, 9, 16, ... ?

Accepted Answer

y = x^2

Answer

y = x + 1

Answer

y = 2x

Answer

y = x^3

Question 14

For  f(x) = 2x + 1, what numbers can you put in (x)?

Accepted Answer

All of them

Answer

Only positive numbers

Answer

Only negative numbers

Answer

Only even numbers

Question 15

If we move the graph of  y = x^2 up by 3, which equation matches the new graph?

Accepted Answer

y = x^2 + 3

Answer

y = (x + 3)^2

Answer

y = x^2 - 3

Answer

y = (x - 3)^2

Question 16

Which of these shapes has rotational symmetry?

Accepted Answer

Circle

Answer

Triangle

Answer

Square

Answer

Rectangle

Question 17

Which of these is a characteristic of a linear pattern?

Accepted Answer

The difference between consecutive terms is constant.

Answer

The ratio of consecutive terms is constant.

Answer

The terms increase by the same amount each time.

Answer

The terms decrease by the same amount each time.

Question 18

What is the missing number in the sequence: 5, 10, 15, ___, 25?

Accepted Answer

20

Answer

18

Answer

22

Answer

24

Question 19

Which equation shows the relationship between the number of pencils and the total cost?

Accepted Answer

Cost = 5 Pencils

Answer

Cost = Pencils + 5

Answer

Pencils = Cost + 5

Answer

Pencils = 5 Cost

Question 20

Which graph shows a line that goes up as the x-values increase?

Accepted Answer

╲

Answer

╱

Answer

U

Answer

n

Question 21

What is the value of y when x = 2 in the equation y = 3x - 1?

Accepted Answer

5

Answer

4

Answer

6

Answer

7

Question 22

What are the input values of the function {(1, 2), (3, 4), (5, 6)}?

Accepted Answer

{1, 3, 5}

Answer

{2, 4, 6}

Answer

{(1, 3), (3, 5), (5, 7)}

Answer

{(2, 4), (4, 6), (6, 8)}

Question 23

Which equation represents the inverse of the function f(x) = 2x + 1?

Accepted Answer

f^-1(x) = (x - 1) / 2

Answer

f^-1(x) = 2x - 1

Answer

f^-1(x) = 1 - 2x

Answer

f^-1(x) = x / 2 + 1

Question 24

A farmer has 10 rows of corn with 20 plants in each row. He decides to increase the number of rows to 15. How many plants will he have in total?

Accepted Answer

300

Answer

200

Answer

100

Question 25

When solving an equation with a variable on both sides, what is the first step to isolate the variable on one side?

Accepted Answer

Subtract the number in front of the variable on one side from the other side.

Answer

Combine the numbers in front of the variable.

Answer

Multiply the numbers in front of the variable.

Answer

Divide the numbers in front of the variable.

Question 26

What is the difference between the y-coordinates of the points (1, 3) and (3, 7)?

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 27

Which of the following situations describes a function?

Accepted Answer

The amount of money earned and the number of hours worked.

Answer

The number of pencils a student has and the number of days of the week.

Answer

The favorite color and the number of students in a class.

Answer

The month of the year and the number of rainy days.

Question 28

Which of the following is the domain of the function f(x) = x + 2?

Accepted Answer

All numbers

Answer

Only positive numbers

Answer

Only negative numbers

Answer

Only fractions

Question 29

What is the y-intercept of the line y = 3x - 1?

Accepted Answer

-1

Answer

1

Answer

3

Answer

0

Question 30

What is the opposite of adding 5?

Accepted Answer

Subtracting 5

Answer

Multiplying by 5

Answer

Dividing by 5

Answer

Exponents of 5

Question 31

What is the next term in the numerical sequence: 2, 4, 6, 8, ...?

Accepted Answer

10

Answer

9

Answer

5

Answer

12

Question 32

Which algebraic equation represents the rule for the relationship between the input (x) and output (y) in the table: x | y  ---  1 | 3  ---  2 | 5  ---  3 | 7?

Accepted Answer

y = 2x + 1

Answer

y = 4x + 2

Answer

y = 3x - 1

Answer

y = x + 2

Question 33

What is the slope of the line described by the equation y = 3x - 2?

Accepted Answer

3

Answer

-2

Answer

2

Answer

-3

Question 34

What is the domain of the function f(x) = sqrt(x - 2)?

Accepted Answer

x ≥ 2

Answer

x ≤ 2

Answer

x > 2

Question 35

What is the range of the function f(x) = 2x^2 - 1?

Accepted Answer

y ≥ -1

Answer

y ≤ -1

Answer

y > -1

Question 36

What is the rule that continues the numerical pattern 3, 8, 13, 18, ...?

Accepted Answer

Add 5

Answer

Subtract 3

Answer

Divide by 4

Answer

Multiply by 2

Question 37

Which of the following is NOT a type of pattern?

Accepted Answer

Radial

Answer

Algebraic

Answer

Numerical

Answer

Geometric

Question 38

Which graph represents the equation y = 2x + 1?

Accepted Answer

[Image of a graph with a straight line passing through (0, 1) and (1, 3)]

Answer

[Image of a graph with a parabola]

Answer

[Image of a graph with a circle]

Question 39

What is the slope of the line represented by the equation y = -3x + 2?

Accepted Answer

-3

Answer

-2

Answer

3

Answer

2

Question 40

Which of the following relationships is NOT a function?

Accepted Answer

{(1, 2), (2, 3), (3, 2), (3, 4)}

Answer

{(1, 2), (2, 4), (3, 6), (4, 8)}

Answer

{(2, 3), (4, 6), (6, 9), (8, 12)}

Answer

{(1, 5), (2, 10), (3, 15), (4, 20)}

Question 41

What is the operation that undoes multiplication?

Accepted Answer

Division

Answer

Subtraction

Answer

Addition

Answer

Exponents

Question 42

The pattern 2, 4, 6, 8 continues.  What is the 10th number in the pattern?

Accepted Answer

20

Answer

18

Answer

16

Answer

22

Question 43

Sarah makes a necklace with beads. She uses 3 blue beads for every 1 red bead. If she uses 12 blue beads, how many red beads will she need?

Accepted Answer

4

Answer

6

Answer

9

Answer

3

Question 44

Which pattern follows the rule 'Multiply by 2, then add 1'?

Accepted Answer

3, 7, 15, 31

Answer

2, 5, 11, 23

Answer

4, 9, 19, 39

Answer

1, 3, 7, 15

Question 45

The first three numbers in a pattern are 5, 10, 15. What is the rule for this pattern?

Accepted Answer

Add 5

Answer

Subtract 5

Answer

Divide by 2

Answer

Multiply by 2

Question 46

If the rule for a pattern is 'Subtract 4', and the first number is 20, what is the 3rd number in the pattern?

Accepted Answer

8

Answer

4

Answer

16

Answer

12

Question 47

What are the next three numbers in this pattern: 5, 10, 15, 20, ___, ___, ___?

Accepted Answer

25, 30, 35

Answer

25, 35, 45

Answer

30, 35, 40

Answer

20, 25, 30

Question 48

Which shape comes next in this pattern: circle, square, triangle, circle, square, ___?

Accepted Answer

triangle

Answer

circle

Answer

rectangle

Answer

square

Question 49

Jenna makes a table to show how many wheels are on different numbers of cars. Which equation shows the relationship between cars and wheels?

| Cars | Wheels |
|---|---| 
| 1 | 4 |
| 2 | 8 |
| 3 | 12 |

Accepted Answer

Wheels = Cars x 4

Answer

Wheels = Cars + 3

Answer

Wheels = Cars x 3

Answer

Wheels = Cars + 4

Question 50

Which of these is NOT a repeating pattern?

Accepted Answer

The letters of the alphabet

Answer

The days of the week

Answer

The seasons of the year

Answer

Red light, green light, yellow light

Question 51

Look at the graph below. What is the relationship between the number of triangles and the number of sides?

(Assume the graph continues in the same pattern)

| Triangles | Sides |
|---|---| 
| 1 | 3 |
| 2 | 6 |
| 3 | 9 |

Accepted Answer

The number of sides is three times the number of triangles.

Answer

The number of sides is the same as the number of triangles.

Answer

The number of sides is two more than the number of triangles.

Question 52

Which rule describes this pattern: 2, 6, 18, 54...?

Accepted Answer

Multiply the previous number by 3

Answer

Add 16 to the previous number

Answer

Multiply the previous number by 2

Answer

Add 4 to the previous number

Question 53

Which table correctly shows the pattern: 'Start at 10 and subtract 2 each time'?

Accepted Answer

| Term | Value |
|---|---| 
| 1 | 10 |
| 2 | 8 |
| 3 | 6 |

Answer

| Term | Value |
|---|---| 
| 1 | 10 |
| 2 | 12 |
| 3 | 14 |

Answer

| Term | Value |
|---|---| 
| 1 | 8 |
| 2 | 10 |
| 3 | 12 |