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Pattern Worksheets

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

Solution:

The rule for the given pattern is to count up by 1 repeatedly and continue the sequence to find the next four terms.

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

Solution:

The rule for the given pattern is to count down by 11 repeatedly and continue the sequence to find the next 3 terms.

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

Solution:

The rule for the given pattern is to multiply the terms in the given sequence by 2 repeatedly to obtain the next four terms.

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, . . .

Solution:

In the given pattern, the difference between two successive terms is 8.

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

Solution:

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

Solution:

The rule for the given pattern is to subtract 1 and then multiply each term by 2 repeatedly to obtain the given sequence in the pattern.

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

Solution:

The rule for the given pattern is to divide each preceding term by 2 to obtain the succeeding terms in the given sequence.

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

Solution:

The rule to be followed to find the number of pizzas ordered on the third day is to add 4 to the number of pizzas ordered on the second day.

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

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

Solution:

The rule to be followed to find the number of leather bags sold on the third day is to multiply the number of leather bags sold on the second day by 2.

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

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
 a. 28, 24 b. 30, 26 c. 24, 30 d. 26, 24

Solution:

The differences between two successive terms in the given series are the multiples of 2 starting from 2.

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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