Worksheet: Number Patterns: Two-Digit Numbers

In this worksheet, we will practice identifying patterns of two-digit numbers and use them to find missing numbers.

Q1:

The summer Olympic Games occur every four years; one particular Olympic Games took place in 2004, in which years did the next three occur?

  • A2000, 1996, and 1992
  • B2008, 2012, and 2016
  • C2005, 2006, and 2007
  • D2003, 2002, and 2001
  • E2006, 2008, and 2010

Q2:

Complete the pattern 42,48,54,,.

  • A 3 2 4 , 1 , 9 4 4
  • B 6 6 , 7 2
  • C 6 0 , 6 6
  • D 6 0 , 6 7
  • E 6 1 , 6 6

Q3:

Complete the pattern: 35,31,27,,.

  • A 2 2 , 1 8
  • B 2 3 , 1 9
  • C 2 3 , 1 8
  • D 4 7 , 5 1
  • E 4 7 , 5 0

Q4:

Complete the pattern: 4,9,16,25,,.

  • A 3 6 , 4 9
  • B 2 1 6 , 3 4 3
  • C 4 1 , 6 1
  • D 4 9 , 6 4

Q5:

Complete the pattern: 420,210,105,,.

  • A 5 2 . 5 , 2 6 . 2 5
  • B 4 2 0 , 2 1 0
  • C 2 1 0 , 1 0 5
  • D 2 1 0 , 4 2 0

Q6:

Complete the pattern 48,57,65,72,,,.

  • A 7 9 , 8 5 , 9 0
  • B 8 3 , 8 7 , 7 8
  • C 7 9 , 8 6 , 9 3
  • D 7 7 , 8 1 , 8 4
  • E 7 8 , 8 3 , 8 7

Q7:

Complete the pattern: ,,75,375,1,875,,.

  • A 3 , 1 5 , 9 , 3 7 5 , 4 6 , 8 7 5
  • B 6 5 , 7 0 , 1 , 8 8 0 , 1 , 8 8 5
  • C 3 , 1 2 , 7 , 5 0 0 , 3 0 , 0 0 0
  • D 3 , 9 , 5 , 6 2 5 , 1 6 , 8 7 5

Q8:

Complete the pattern: 59,63,65,69,71,,,.

  • A 7 4 , 7 5 , 7 8
  • B 7 5 , 7 7 , 8 1
  • C 7 6 , 7 9 , 8 4
  • D 7 3 , 7 7 , 7 9

Q9:

Complete the pattern: 6,6,12,18,30,48,,.

  • A 7 8 , 1 2 6
  • B 9 6 , 1 7 4
  • C 3 0 , 1 8
  • D 1 2 0 , 2 4 0

Q10:

Complete the pattern: 5,20,80,,,.

  • A 2 4 0 , 7 2 0 , 2 , 1 6 0
  • B 3 2 0 , 1 , 2 8 0 , 5 , 1 2 0
  • C 3 2 0 , 2 , 5 6 0 , 5 , 1 2 0
  • D 1 4 0 , 2 0 0 , 2 6 0
  • E 8 4 , 8 8 , 9 2

Q11:

Complete the pattern: 3,33,333,,,.

  • A 3 3 , 3 3 3 , 3 3 3 , 3 3 3 , 3 , 3 3 3 , 3 3 3
  • B 3 3 3 , 3 , 3 3 3 , 3 3 , 3 3 3
  • C 3 3 , 3 3 3 , 3 3 3 , 3 3 3 , 3 , 3 3 3
  • D 3 , 3 3 3 , 3 3 , 3 3 3 , 3 3 3 , 3 3 3

Q12:

Find the values of π‘₯ and 𝑦 in the following number pattern: 45,1625,64125,π‘₯,𝑦.

  • A π‘₯ = 1 6 2 0 , 𝑦 = 2 0 2 5
  • B π‘₯ = 8 9 , 𝑦 = 9 1 0
  • C π‘₯ = 6 8 1 2 9 , 𝑦 = 6 4 1 3 0
  • D π‘₯ = 2 5 6 6 2 5 , 𝑦 = 1 , 0 2 4 3 , 1 2 5

Q13:

This pattern follows the rule add 13: 2,15,28,41,54.

Select another pattern that follows the same rule.

  • A 1 7 , 3 0 , 4 3 , 5 6 , 6 9
  • B 1 5 , 2 8 , 4 2 , 5 7 , 7 3
  • C 1 8 , 3 2 , 4 5 , 5 8 , 7 1
  • D 1 3 , 2 6 , 3 9 , 5 2 , 6 6
  • E 2 0 , 3 3 , 4 6 , 6 0 , 6 3

Q14:

Complete the following pattern: 90,,50,30,.

  • A80, 20
  • B70, 20
  • C70, 10
  • D100, 40

Q15:

Complete the following pattern: 43,54,,,87.

  • A67, 78
  • B68, 79
  • C63, 74
  • D65, 76

Q16:

Write the next two numbers in this sequence. 7,26,45,64,,.

  • A65, 84
  • B83, 102
  • C71, 90
  • D83, 103
  • E65, 66

Q17:

Find the next two numbers in the pattern. 36,30,24,,

  • A12, 6
  • B15, 8
  • C18, 12
  • D20, 16

Q18:

Find the next two numbers in the pattern: 6,12,18,,.

  • A30, 36
  • B28, 40
  • C24, 30
  • D21, 24

Q19:

Daniel starts at 2 and writes multiples of 2: 2,4,6,8,10,12,14,16,18,20,….

He notices a repeating pattern.

What if he starts at 26? Finish his sentence by finding the repeating part of the pattern.

  • A6, 8, 3, 4,3
  • B6, 8, 3, 2, 4
  • C6, 8, 0, 2, 4
  • D6, 0, 2, 4,6

Q20:

Daniel started writing this number pattern with the rule add 6.

He colors every second number blue.

Describe the pattern the blue numbers will follow.

  • Aadd 6
  • Badd 12
  • Cadd 18

What if he looks at every third number?

What pattern will the green numbers follow?

  • Aadd 18
  • Badd 6
  • Cadd 12

Q21:

Hannah started this pattern with the rule subtract 8.

What is the next number?

She colored every third number green.

Describe the pattern that the green numbers will follow.

  • Asubtract 14
  • Bsubtract 25
  • Csubtract 24

Q22:

Suppose the number of rabbits doubles every year on Daniel’s farm. If he currently has 6 rabbits, how many rabbits will Daniel have after 4 years?

Q23:

Which point on the shown number line represents 69 ?

  • A 𝐴
  • B 𝐡

Q24:

What number is represented by point 𝐴 on this number line?

Q25:

Complete the pattern 6,12,24,,.

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

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