# Worksheet: Patterns in Multiplication Tables

In this worksheet, we will practice describing patterns in the rows, columns, and diagonals of multiplication tables.

**Q1: **

In this chart of numbers from 1 to 50, Matthew has colored all of the multiples of 4 starting at 4.

What are the next 3 multiples?

- A56, 60, 64
- B51, 55, 59
- C52, 56, 60
- D48, 52, 56
- E52, 60, 64

He notices that the ones digits follow a repeating pattern.

Write the repeating part of this pattern.

- A8, 4, 2, 6, 0
- B4, 2, 8, 6, 0
- C8, 4, 0, 2, 6
- D4, 8, 0, 2, 6
- E4, 8, 2, 6, 0

**Q2: **

Investigate the number sequence that **starts at 7** and uses the rule **multiply by 3**.

Pick the sentence that describes this sequence.

- AAll of the numbers except the first one are even.
- BThe numbers swap from odd to even.
- CAll of the numbers are odd.

Now, investigate the number sequence that starts at 7 and uses the rule multiply by 4.

Pick the sentence that describes this new sequence.

- AAll of the numbers are odd.
- BAll of the numbers except the first one are even.
- CThe numbers swap from odd to even.

**Q3: **

Complete the pattern: .

- A
- B
- C
- D
- E

**Q4: **

Complete the pattern: .

- A
- B
- C
- D

**Q6: **

Complete the following in the same pattern: .

- A,
- B,
- C,
- D,

**Q7: **

Complete the following sequence: .

- A
- B
- C
- D
- E

**Q8: **

Complete the pattern: .

- A
- B
- C
- D

**Q9: **

The table below shows that the numbers in the 6 times table increase by 6 from one column to the next, that is, each time the number that is multiplied by 6 increases by 1.

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
---|---|---|---|---|---|---|---|---|---|

6 | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 |

Complete using the times table: 4 groups of 6 equals 3 groups of 6 plus .

- A3 groups of 6
- B2 groups of 6
- Cone group of 6
- D4 groups of 6

Complete using the times table: 6 groups of 6 equals 4 groups of 6 plus .

- A2 groups of 6
- Bone group of 6
- C6 groups of 6
- D4 groups of 6

**Q10: **

The following table shows the multiples of 2 and 4.

Number | Multiples | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 |

4 | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 |

Complete the following questions.

The 4th multiple of 2 equals the multiple of 4.

- A8th
- B4th
- C2nd
- D3rd

The 4th multiple of 4 equals the multiple of 2.

- A2nd
- B8th
- C3rd
- D4th

**Q11: **

Look at the shaded products in the following multiplication table.

Look for a pattern to find the missing numbers.

4 groups of 7 equals groups of 4.

8 groups of 4 equals groups of 8.

**Q12: **

Notice the pattern in the multiples of 2.

What are the next 3 multiples after 20?

- A22, 24, and 26
- B24, 28, and 32
- C21, 22, and 23
- D22, 24, and 28

**Q13: **

Based on the pattern in the ones digit, which of the following belongs to the 5 times table?

- A65
- B56
- C54
- D87

**Q14: **

Anthony found a pattern in the following multiplication table.

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
---|---|---|---|---|---|---|---|---|---|---|

3 | 3 | 9 | 15 | 21 | 27 | 30 | ||||

6 | 30 | 36 | 42 | 48 | 54 | 60 |

Complete the following using the pattern Anthony found: .

Complete the following using the pattern Anthony found: 3 groups of 4 equals groups of 2.

**Q15: **

Benjamin noticed that the diagonal of the multiplication table represents the number in the rows or the columns multiplied by itself.

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
---|---|---|---|---|---|---|---|---|---|---|

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |

2 | 2 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 | |

3 | 3 | 6 | 12 | 15 | 18 | 21 | 24 | 27 | 30 | |

4 | 4 | 8 | 12 | 20 | 24 | 28 | 32 | 36 | 40 | |

5 | 5 | 10 | 15 | 20 | 30 | 35 | 40 | 45 | 50 | |

6 | 6 | 12 | 18 | 24 | 30 | 42 | 48 | 54 | 60 | |

7 | 7 | 14 | 21 | 28 | 35 | 42 | 56 | 63 | 70 | |

8 | 8 | 16 | 24 | 32 | 40 | 48 | 56 | 72 | 80 | |

9 | 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 90 | |

10 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 |

What is the missing number?

**Q16: **

Fill in the blank: When we multiply by 6, we get the sum of what we get by multiplying by 2 and 4.

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
---|---|---|---|---|---|---|---|---|---|---|

1 | 1 | 3 | 5 | 7 | 8 | 9 | 10 | |||

2 | 2 | 6 | 10 | 14 | 16 | 18 | 20 | |||

3 | 3 | 9 | 15 | 21 | 24 | 27 | 30 | |||

4 | 4 | 12 | 20 | 28 | 32 | 36 | 40 | |||

5 | 5 | 15 | 25 | 35 | 40 | 45 | 50 | |||

6 | 6 | 18 | 30 | 42 | 48 | 54 | 60 | |||

7 | 7 | 21 | 35 | 49 | 56 | 63 | 70 | |||

8 | 8 | 24 | 40 | 56 | 64 | 72 | 80 | |||

9 | 9 | 27 | 45 | 63 | 72 | 81 | 90 | |||

10 | 10 | 30 | 50 | 70 | 80 | 90 | 100 |

- Asometimes
- Balways
- Cnever