# 5th Class Mental Ability Shapes and Patterns Patterns

Patterns

Category : 5th Class

Patterns

Objectives

·                     Students will learn to develop and extend patterns.

·                     Students will learn to discover how patterns arise in a variety of mathematical and everyday contexts, and to establish the rules which govern them.

Introduction

Patterns are

·         repeated designs or recurring sequences.

·         an ordered set of letters, words, numbers, shapes or other mathematical objects, arranged according to a particular rule.

Type I: To find the missing term or next term (number or letter)

·         Identify the rule followed in rest of the given terms using mathematical operation: addition, subtraction, multiplication, division, skip counting and reverse counting.

·         Identify the order of alphabetical series either from A to Z or Z to A.

·         Skipping letters.

Type II: To find the missing part in the figure pattern.

·         Complete the figure pattern by drawing its incomplete part in the pattern.

Example 1:

In the number pattern below, what are the values of A and B respectively?

(a) 9, 49                      (b) 49, 9

(c) 9, 64                       (d) 81, 49

Ans. (a)

Explanation: Pattern followed in the above series is

$2\times 2=4,\text{ }\,\,\,\,\,\,3\times 3=9,\text{ }\,\,\,\,\,\,\,\,\,4\times 4=\text{ }16,\text{ }\,\,\,\,\,\,\,\,\,5\times 5=\text{ }25,$

$6\times 6=36,\text{ }\,\,\,\,\,\,7\times 7=49~$

Example 2:

Which is the missing square?

(a)                    (b)

(c)                    (d)

Ans. (b)

Explanation: Sum of circles in each row or column is 10.

Example 3:

Which one will replace the question mark?

(a) 2                             (b) 3

(c) 4                             (d) 5

Ans. (c)

Explanation: As, $5\times 6=30~$

and $4\times 7=42$

Similarly, $9\times ?=36~~$

$?=\frac{36}{9}~\,$

? = 4

Example 4:

Find the missing pair of letters in the series.

(a) KL                          (b) LM

(c) KM                          (d) MN

Ans. (b)

Explanation: The pattern is as follows:

Example 5:

Which figure will replace the question mark in the figure pattern below?

(a)               (b)

(c)                (d)

Ans. (d)

Explanation

Example 6:

Which figure will replace the question mark in the series?

(a)           (b)

(c)             (d)

Ans. (c)

Explanation: The figure repeats itself after two steps.

#### Other Topics

##### 15 10

LIMITED OFFER HURRY UP! OFFER AVAILABLE ON ALL MATERIAL TILL TODAY ONLY!

You need to login to perform this action.
You will be redirected in 3 sec