Pattern Worksheets

**Page 1**

1.

Find the next four terms of the series 100, 101, 102, ___, ___, ___, ___, ...

a. | 103, 104, 105, 106 | ||

b. | 103, 105, 106, 107 | ||

c. | 104, 107, 110, 113 | ||

d. | 102, 104, 106, 108 |

So, the next four terms are 103, 104, 105 and 106.

Correct answer : (1)

2.

Find the next three terms of the number pattern 90, 79, 68, ___, ___, ___, ...

a. | 30, 35, 25 | ||

b. | 30, 25, 20 | ||

c. | 45, 55, 35 | ||

d. | 57, 46, 35 |

So, the next three terms in the series are 57, 46, and 35.

Correct answer : (4)

3.

Find the next four terms of the series 4, 8, 16, ___, ___, ___, ___, ...

a. | 60, 50, 40, 30 | ||

b. | 32, 64, 128, 256 | ||

c. | 31, 32, 33, 34 | ||

d. | 35, 45, 55, 65 |

So, the next four terms are 32, 64, 128, and 256.

Correct answer : (2)

4.

Choose a rule to describe the sequence 3, 11, 19, . . .

a. | Start with 3 and add 11 and 19 repeatedly. | ||

b. | Start with 3 and add 8 repeatedly. | ||

c. | Start with 3 and add 9 and subtract 1, 2, 3, . . . repeatedly. | ||

d. | Start with 19 and subtract 8 repeatedly. |

So, the rule is to start with 3 and add 8 repeatedly.

Correct answer : (2)

5.

Identify the first four terms of the pattern with the rule given as 'Start with 308 and add 12 repeatedly'.

a. | 305, 306, 307, 308 | ||

b. | 300, 301, 302, 303 | ||

c. | 300, 312, 324, 336 | ||

d. | 308, 320, 332, 344 |

[Add 12 to each term repeatedly to obtain the succeeding terms.]

So, the first 4 terms of the sequence are 308, 320, 332, 344.

Correct answer : (4)

6.

Complete the given number pattern:

___, 8, 14, 26, . . .

a. | 4 | ||

b. | 2 | ||

c. | 3 | ||

d. | 5 |

So, the complete number pattern is 5, 8, 14, 26, . . .

Correct answer : (4)

7.

Find the next three terms in the given series.

128, 64, 32, ___, ___, ___, ...

a. | 16, 8, 4 | ||

b. | 0, - 32, - 64 | ||

c. | 4, 8, 16 | ||

d. | 18, 9, 4.5 |

So, the next three terms are 16, 8 and 4.

Correct answer : (1)

8.

The table shows the number of pizzas ordered each day from a pizzeria. If the pattern continued throughout, how many pizzas were ordered on the third day?

Day | 1 | 2 | 3 | 4 |

Number of pizzas ordered | 10 | 14 | - | 22 |

a. | 18 | ||

b. | 17 | ||

c. | 16 | ||

d. | 20 |

Number of pizzas ordered on the third day = Number of pizzas ordered on the second day + 4 = 14 + 4 = 18

[Substitute and add.]

So, 18 pizzas were ordered on the third day in the pizzeria.

Correct answer : (1)

9.

The table shows the number of leather bags sold per day in a store. If the pattern continued, how many leather bags were sold on the third day?

Day | 1 | 2 | 3 | 4 |

Number of leather bags purchased | 12 | 24 | - | 96 |

a. | 18 | ||

b. | 48 | ||

c. | 16 | ||

d. | 17 |

Number of leather bags sold on the third day = Number of leather bags sold on the second day × 2 = 24 × 2 = 48

[Substitute and add.]

So, 48 leather bags were sold on the third day.

Correct answer : (2)

10.

The number of coins collected by Jack in 3 months is represented by the given

number pattern. Find the missing numbers.

32, ___, ___, 20, 12

number pattern. Find the missing numbers.

a. | 28, 24 | ||

b. | 30, 26 | ||

c. | 24, 30 | ||

d. | 26, 24 |

The rule for the given pattern is to subtract 2 from the first term, 4 from the second term, 6 from the third term, 8 from the fourth term and so on.

The given series continues with the sequence 32, 30, 26, 20, and 12.

So, the missing numbers in the sequence are 30 and 26.

Correct answer : (2)

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