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: 5×1,10×4,20×7,,,.

  • A 4 0 × 1 0 , 8 0 × 1 3 , 1 6 0 × 1 6
  • B 2 0 × 1 1 , 4 0 × 1 5 , 8 0 × 1 9
  • C 4 0 × 1 3 , 8 0 × 1 6 , 1 6 0 × 1 9
  • D 2 2 × 1 3 , 2 4 × 1 6 , 2 6 × 1 9
  • E 2 3 × 1 4 , 2 6 × 2 8 , 2 9 × 5 6

Q4:

Complete the pattern: 196×196,194×194,192×192,,.

  • A 1 9 0 × 1 9 0 , 1 8 8 × 1 8 8
  • B 1 9 4 × 1 9 4 , 1 9 6 × 1 9 6
  • C 1 9 1 × 1 9 1 , 1 9 0 × 1 9 0
  • D 1 8 8 × 1 8 8 , 1 8 6 × 1 8 6

Q5:

What is the next number in this pattern?

Q6:

Complete the following in the same pattern: 5×5,5×6,5×7,,.

  • A 5 × 8 , 5 × 9
  • B 5 × 6 , 5 × 5
  • C 6 × 7 , 7 × 7
  • D 6 × 8 , 7 × 9

Q7:

Complete the following sequence: 3,9,27,,.

  • A 1 3 5 , 6 7 5
  • B 8 1 , 2 4 3
  • C 1 0 8 , 4 3 2
  • D 3 0 , 3 3
  • E 5 4 , 1 0 8

Q8:

Complete the pattern: 2×1,6×2,10×4,,,.

  • A 1 5 × 4 , 2 0 × 8 , 2 5 × 1 6
  • B 2 0 × 8 , 4 0 × 1 2 , 8 0 × 1 6
  • C 1 4 × 8 , 1 8 × 1 6 , 2 2 × 3 2
  • D 1 8 × 6 , 2 2 × 8 , 2 6 × 1 0

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