INPUT OUTPUT TABLES WORKSHEET

For the following input numbers, calculate output numbers under the given rules :

Question 1 :

Four times the input number.

Question 2 :

The input number plus three.

Question 3 :

Add two then multiply by 3

Question 4 :

Multiply the input number by itself.

Question 5 :

Double the input number then add one.

Question 6 :

Subtract 3 then multiply by 2.

Question 7 :

Mark is throwing a birthday party this weekend. He is counting the number of drinks he has to make sure there is enough. Each case of soda has 12 cans in it. Mark counts 2 cases of cola, 3 cases of water, 5 cases of lemon water, and 10 cases of club soda. Fill in the table below and identify the rule.

Question 8 :

Silvie is taking inventory of the number of socks each person in her family has. Her mom has 10 pairs of socks. Her dad has 15 pairs of socks. Her sister, Evie, has 18 pairs of socks. Silvie has 12 pairs of socks. How many individual socks does each person in Silvie’s family have? Fill in the table below and identify the rule.

Question 9 :

This table shows the input and output from a machine with 2 operations.

a) Write the numbers and the operations in the machine.

b)Write the next 3 input and output numbers.

c) Predict the output when the input is 100.

Detailed Answer Key

(1)  Answer :

Let us consider "n" as input value and "m" as output value.

Rule ==> Four times the input number.

Formula :

m  =  4n

Completing the table :

(2)  Answer :

Rule ==> The input number plus three.

Formula :

m  =  n+3

Completing the table :

(3)  Answer :

Rule ==> Add two then multiply by 3

Formula :

m  =  3(n+2)

Completing the table :

(4)  Answer :

Rule ==> Multiply the input number by itself.

Formula :

m  =  n ⋅ n

Completing the table :

(5)  Answer :

Rule ==> Double the input number then add one.

Formula :

m  =  2n+1

Completing the table :

(6) Answer :

Rule ==> Subtract 3 then multiply by 2.

Formula :

m  =  2(n-3)

Completing the table :

(7) Answer :

Let us create the rule to fill up the table,

In each case there will be 12 cans.

Total number of drinks = 12(number of cases)

• Number of cases of cola = 2
• Number of cases of water = 3
• Number of cases of lemon water = 5
• Number of cases of club soda = 10

We have to consider the above are inputs, applying these values one by one

• Total number of cola = 12(2) ==> 24
• Total number of water = 12(3) ==> 36
• Total number of lemon water = 12(5) ==> 60
• Total number of club soda = 12(10) ==> 120

(8) Answer :

Pairs of socks Ellivie has = 18

Pairs of socks Silvie's mom has = 10

Pairs of socks Silvie's dad has = 15

Each pair will consist of 2 socks.

We have to consider the above are inputs, applying these values one by one

• Number of socks Ellivie has = 18(2) ==> 36
• Number of socks Silvie's mom has = 10(2) ==> 20
• Number of socks Silvie's dad has = 15(2) ==> 30

The required rule is,

total number of socks = 2 (number of pairs)

(9) Answer :

a) By observing all values in the input column, every input is increased by 5.

Values in output columns, each value increases by 3 or multiple of 3.

Each input should be divided by 5 and multiply by 3.

Then, the required rule will be output = 3/5 x input

b)

• When input = 40, output = (3/5) x 40 ==> 24
• When input = 45, output = (3/5) x 45 ==> 27
• When input = 50, output = (3/5) x 50 ==> 30

Completing the table,

c) When input = 100, output = (3/5) x 100

= 3 x 20

= 60

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