# Free Patterns 02 Practice Test - 5th Grade

### Question 1

Find the next term of this pattern: AABB, CCDD, EEFF

GGGH

GHHH

GGHH

HHHG

#### SOLUTION

Solution :C

AABB, CCDD, EEFF

Here each term has 2 alphabets in capital letters which repeat twice.

Also, the sequence is in alphabetical order.

So the next term in the pattern is GGHH.

### Question 2

Complete the pattern.

#### SOLUTION

Solution :C

In the above pattern, we observe that each row in a figure has one more block than the one in the previous figure in that row.

For example, in the second figure:

The first row has

threeblocks, which is one more than the number of blocks in that row in the first figure.The second row has

twoblocks, which is one more than the number of blocks in that row in the first figure.The third row has

threeblocks, which is one more than the number of blocks in that row in the first figure.Also, the new blocks in all the rows are

added to the left.So, the fourth figure will have, 5 blocks in the first row, 4 blocks in the second row and 5 blocks in the third row.

So the figure that will come next in the pattern is :

### Question 3

Find the next number in the pattern:

1, 12, 123, 1234, _____

#### SOLUTION

Solution :A

In the pattern above, one more digit is added to the previous term. Also, the new digit is one more than the value of the digit at the units place in the previous term.

So, the next term after 1234 will be 12345.

### Question 4

Complete the pattern.

None of these

#### SOLUTION

Solution :C

In each step, the shapes move to the next box in the clockwise direction.

The colour of the boxes is constant.

So, the figure that will come next in the above pattern is :

### Question 5

Find the next number in the pattern:

144, 121, 100, 81, _____

#### SOLUTION

Solution :D

The sequence follows:

144, 121, 100, 81, ____

144=12×12121=11×11100=10×1081=9×9

We can see that each term of the sequence is the square of a number. It means a number is multiplied by itself.

Also, the number multiplied with itself in the following term is one less than the previous term.

So, the next term in the sequence is the square of 8, which is

8×8=64

### Question 6

Which number will come in place of '?'.

36

37

44

45

#### SOLUTION

Solution :B

In the above figures, we observe that the sum of the numbers diagonally opposite to each other is equal to the number in the circle.

For example, in the first square 10 + 19 = 18 + 11 = 29

So, the number in place of '?' = 14 + 23 = 15 + 22 = 37

### Question 7

A↓Z B↓Y C↓X D↓W E↓V F↓U G↓T H↓S I↓R J↓Q K↓P L↓O M↓N N↓M O↓L P↓K Q↓J R↓I S↓H T↓G U↓F V↓E W↓D X↓C Y↓B Z↓A

Using the given code of secret language, 'ENGLISH' can be encoded as ______.

#### SOLUTION

Solution :B

According to the given code of secret language,

E→VN→MG→TL→OI→RS→HH→S∴ Original message−ENGLISHSecret message−VMTORHS

### Question 8

Complete the sequence.

12 F, 13 E, 15 D, 18 C,

20 B

22 B

21 A

21 B

#### SOLUTION

Solution :B

The above sequence can be split into two sequences, one having numbers and another having alphabets:

The number pattern is as follows:

So, the next term in the above pattern is 22.

The sequence of the alphabets is:

F, E, D, C

We observe that the alphabets are in reverse alphabetical order.

So the next term in the sequence of alphabets is B.

So, the next term in the sequence is 22 B.

So, the sequence becomes 12 F, 13 E, 15 D, 18 C, 22 B.

### Question 9

Find the next term.

A5Z, B10Y, C15X, D20W, ____

#### SOLUTION

Solution :B

The terms of the above sequence can be split into three sequences.

The first alphabet of each term: A, B, C, D

These are in alphabetical order, so the next term will have the alphabet E.

The sequence of numbers: 5, 10, 15, 20

These numbers are the multiples of 5, so the number in the number in the next term is 25.

The second alphabet of each term: Z, Y, X, W

These terms are in reverse alphabetical order, so the second alphabet in the next term is V.

Therefore, the next term in the sequence is E25V.

### Question 10

What comes next in the pattern:

2, 5, 10, 17, 26, 37, 50, 65, ___

#### SOLUTION

Solution :A

The sequence follows 2, 5, 10, 17, 26, 37, 50, 65, ___.

We can observe,

5 - 2 = 3

10 - 5 = 5

17 - 10 = 7

26 - 17 = 9

37 - 26 = 11

50 - 37 = 13

65 - 50 = 15

If we find the difference between the differences between any two consecutive terms, it is equal to 2.

So, the next term in the sequence will be (15 + 2) or 17 more than the last given term.

That is,

65 + 17 = 82