6.01 Review: Patterns in number tables
Consider the following table of values:
What needs to be added to each input to get the corresponding output?
Find the output when the input is 63.
| Input | 8 | 16 | 24 | 32 | 40 |
|---|---|---|---|---|---|
| Output | 34 | 42 | 50 | 58 | 66 |
Consider the following table of values:
What needs to be added to each input to get the corresponding output?
Find the output when the input is 176.
| Input | 44 | 54 | 64 | 74 | 84 |
|---|---|---|---|---|---|
| Output | 21 | 31 | 41 | 51 | 61 |
Consider the following table of values:
By what factor is each output bigger than the corresponding input?
Find the output when the input is 9.
| Input | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| Output | 20 | 40 | 60 | 80 | 100 |
Consider the following table of values:
By what factor is each output smaller than the corresponding input?
Find the output when the input is 150.
| Input | 15 | 30 | 45 | 60 | 75 |
|---|---|---|---|---|---|
| Output | 1 | 2 | 3 | 4 | 5 |
Consider the following graph, where the points form a linear pattern:
State the coordinates of the next point in the pattern.
Complete the table of values for the pattern of points:
| x | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| y | 3 |
Write the rule for the line that would pass through the given points.
As x increases, does the value of y increase or decrease?
Consider the following graph, where the points form a linear pattern:
State the coordinates of the next point in the pattern.
Complete the table of values for the pattern of points:
| x | 10 | 11 | 12 | 13 |
|---|---|---|---|---|
| y | 6 |
Write the rule for the line that would pass through the given points.
As x increases, does the value of y increase or decrease?
Nadia has made the following table which shows her dad Glen's age compared to hers:
How old was Glen when Nadia was 1 year old?
What will Glen's age be when Nadia is 49 years old?
| Nadia's age | Glen's age |
|---|---|
| 1 | 24 |
| 5 | 28 |
| 10 | 33 |
| 20 | 43 |
| 30 | 53 |
James has made the following table which shows his sister Hermione's age compared to his:
How old was Hermione when James was 10 years old?
What will be Hermione's age when James is 65 years old?
| James's age | Hermione's age |
|---|---|
| 10 | 7 |
| 11 | 8 |
| 15 | 12 |
| 20 | 17 |
| 30 | 27 |
A catering company uses the following table to work out how many sandwiches are required to feed a certain number of people:
How many sandwiches the caterer needs for each person?
How many sandwiches the caterer would need to make for 6 people?
| Number of people | Number of sandwiches |
|---|---|
| 1 | 5 |
| 2 | 10 |
| 3 | 15 |
| 4 | 20 |
| 5 | 25 |
A minibus company uses the following table to work out how many busses are needed for a certain number of passengers:
How many busses does the company need to provide for 10 people?
How many busses would the company need to provide for 100 people?
| Number of people | Number of busses |
|---|---|
| 10 | 1 |
| 20 | 2 |
| 30 | 3 |
| 40 | 4 |
| 50 | 5 |