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## Function Tables - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

See some of our other supported math practice problems.

### Complexity=1, Mode=givenRule

Use the given rule to fill in the missing values.

1.
Subtract 4
Input (x)Output (y)
6
9
8
11
2.
Input (x)Output (y)
10
8
7
9

### Complexity=2, Mode=givenRule

Use the given rule to fill in the missing values.

1.
y = x ÷ 10
Input (x)Output (y)
60
20
100
40
2.
y = 5x
Input (x)Output (y)
4
7
5
9

### Complexity=1, Mode=findRule

Find the rule that applies to the table.

1.
Rule: y = x
Input (x)Output (y)
91
113
135
168
179
2.
Rule: y = x
Input (x)Output (y)
29
512
613
916
1017

### Complexity=2, Mode=findRule

Find the rule that applies to the table.

1.
Rule: y = x
Input (x)Output (y)
24
36
48
918
1020
2.
Rule: y = x
Input (x)Output (y)
330
440
660
770
10100

### Complexity=1, Mode=givenRule

Use the given rule to fill in the missing values.

1
Subtract 4
Input (x)Output (y)
6
9
8
11
Solution
Subtract means "minus" or "-".
So, you get y from x minus 4.

Substitute numbers in for known x values.
x y = x - 4 y
6   6 - 4   2
9   9 - 4   5
8   8 - 4   4
11   11 - 4   7

2
Input (x)Output (y)
10
8
7
9
Solution
So, you get y from x plus 6.

Substitute numbers in for known x values.
x y = x + 6 y
10   10 + 6   16
8   8 + 6   14
7   7 + 6   13
9   9 + 6   15

### Complexity=2, Mode=givenRule

Use the given rule to fill in the missing values.

1
y = x ÷ 10
Input (x)Output (y)
60
20
100
40
Solution

Substitute numbers in for known x values.
x y = x ÷ 10 y
60   60 ÷ 10   6
20   20 ÷ 10   2
100   100 ÷ 10   10
40   40 ÷ 10   4

2
y = 5x
Input (x)Output (y)
4
7
5
9
Solution

Substitute numbers in for known x values.
x y = x × 5 y
4   4 × 5   20
7   7 × 5   35
5   5 × 5   25
9   9 × 5   45

### Complexity=1, Mode=findRule

Find the rule that applies to the table.

1
Rule: y = x
Input (x)Output (y)
91
113
135
168
179
Solution
To find the rule, look at the given input-output pairs.
9 → 1
11 → 3
13 → 5
16 → 8
17 → 9

Each output is less than the input.
Try a rule with subtraction or division.

Since the difference between all the given pairs are the same, the rule must be subtraction.

2
Rule: y = x
Input (x)Output (y)
29
512
613
916
1017
Solution
To find the rule, look at the given input-output pairs.
2 → 9
5 → 12
6 → 13
9 → 16
10 → 17

Each output is more than the input.
Try a rule with addition or multiplication.

Since the difference between all the given pairs are the same, the rule must be addition.

### Complexity=2, Mode=findRule

Find the rule that applies to the table.

1
Rule: y = x
Input (x)Output (y)
24
36
48
918
1020
Solution
To find the rule, look at the given input-output pairs.
2 → 4
3 → 6
4 → 8
9 → 18
10 → 20

Each output is more than the input.
Try a rule with addition or multiplication.

Since the difference between all the given pairs are different, the rule must be multiplication.

2
Rule: y = x
Input (x)Output (y)
330
440
660
770
10100
Solution
To find the rule, look at the given input-output pairs.
3 → 30
4 → 40
6 → 60
7 → 70
10 → 100

Each output is more than the input.
Try a rule with addition or multiplication.

Since the difference between all the given pairs are different, the rule must be multiplication.   