# 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

Q5:

What is the next number in this pattern? 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.

123456789
661218243036424854

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.

NumberMultiples
22468101214161820
4481216202428323640

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.

12345678910
33915212730
6303642485460

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.

12345678910
12345678910
2268101214161820
33612151821242730
44812202428323640
551015203035404550
661218243042485460
771421283542566370
881624324048567280
991827364554637290
10102030405060708090

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.

12345678910
113578910
2261014161820
3391521242730
44122028323640
55152535404550
66183042485460
77213549566370
88244056647280
99274563728190
10103050708090100
• Asometimes
• Balways
• Cnever