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Solve Alphabet and Number Sequences Using Addition and Subtraction

In this worksheet, students will solve sequences involving combined letter and number pairs, using addition and subtraction, in both a forward and reverse motion. It will develop students’ problem solving and sequencing skills.

'Solve Alphabet and Number Sequences Using Addition and Subtraction' worksheet

Key stage:  KS 2

Curriculum topic:  Verbal Reasoning

Curriculum subtopic:  Letter Code Breaking

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Wow, you are really getting the hang of this, could you help us with this next challenge?  It’s about time we had an expert on the team.

These sequences involve both letters and numbers! The letters and numbers are joined together in a special order.

 

Here is the alphabet for you to use as a reference:

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

 

Look at the following letter and number pair sequence:

F45 is to G43 as J37 is to ______?

 

First, we need to work out how the first letter becomes the second letter.

The letters are moving one place to the right in the alphabet.

Now we need to work out how the first number becomes the second number. This happens by subtracting two each time.

So we need to add one letter to J and subtract two numbers from 37 to get K35.

 

So the answer is:

F45 is to G43 as J37 is to K35.



Let’s try another:

Z14 is to S11 as K9 is to ______?

 

First, we need to work out how the first letter becomes the second letter.

The letters are moving seven places to the left in the alphabet.

Now we need to work out how the first number becomes the second number. This happens by subtracting three each time.

So we need to see which letter is seven before K.

and subtract three numbers from 9 to get D6.

 

So the answer is:

Z14 is to S11 as K9 is to D6.

 

In this activity, you will need to be a sequence superstar to complete the number and letter pairs.

 

Pssstt!! Here’s a handy hint to help you reach superstar status:

Remember to use the alphabet line to help you work out the code.

 

Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

B202 is to Y89 as G266 is to ______ ?

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence.

Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

G244 is to Q113 as Z208 is to ______ ?

 

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

Let's try another one! Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

V222 is to E37 as I209 is to ______ ?

 

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

K79 is to D224 as W91 is to ______ ?

 

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

O201 is to L90 as H217 is to ______ ?

 

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

 

 

Here are two groups of numbers. Each group follows the same special sequence, but with different numbers. 

 

M63 is to D257 as Z75 is to ______ ?

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

Keep going, sequence spotter! Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

I234 is to T126 as V255 is to ______ ?

 

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

Q96 is to J248 as C123 is to ______ ?

 

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

Just a couple more to practice! Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

U286 is to L89 as X217 is to ______ ?

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

F122 is to U240 as A165 is to ______ ?

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

  • Question 1

Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

B202 is to Y89 as G266 is to ______ ?

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence.

CORRECT ANSWER
T133
EDDIE SAYS
A challenging mission, detective! There are two sequences here. The letters follow a mirror image sequence. The number sequence is to subtract 113.
Top tip: Remember to check the letter chart to see if it is a mirror image sequence or not.
  • Question 2

Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

G244 is to Q113 as Z208 is to ______ ?

 

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

CORRECT ANSWER
J77
EDDIE SAYS
The letter sequence is to make ten jumps forwards in the alphabet. The number sequence is to subtract 131.
Top tip: If you are finding it tricky to work out the number sequence mentally, you may find it useful to have a piece of paper and pencil handy.
  • Question 3

Let's try another one! Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

V222 is to E37 as I209 is to ______ ?

 

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

CORRECT ANSWER
R24
EDDIE SAYS
How are you getting on? Did you sot that the letters follow a mirror image sequence? The number sequence is to subtract 185.
  • Question 4

Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

K79 is to D224 as W91 is to ______ ?

 

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

CORRECT ANSWER
P236
EDDIE SAYS
Whoosh, you're whizzing through this activity! The letter sequence is to take seven jumps backwards in the alphabet, so counting from W would take you back to P.
If you look at how the numbers change, the second number is higher. So, the number sequence is to add 145.
  • Question 5

Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

O201 is to L90 as H217 is to ______ ?

 

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

 

 

CORRECT ANSWER
S106
EDDIE SAYS
You're halfway through, detective! The letters follow the mirror image sequence. The number sequence is to subtract again. This time it's 111.
  • Question 6

Here are two groups of numbers. Each group follows the same special sequence, but with different numbers. 

 

M63 is to D257 as Z75 is to ______ ?

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

CORRECT ANSWER
Q269
EDDIE SAYS
Did you use the alphabet to count backwards to work this out? The letter sequence is to make nine jumps backwards in the alphabet.
The number sequence is to add 194. Fantastic!
  • Question 7

Keep going, sequence spotter! Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

I234 is to T126 as V255 is to ______ ?

 

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

CORRECT ANSWER
G147
EDDIE SAYS
Did you work this one out? The letter sequence is to make eleven jumps forwards in the alphabet. The number sequence is to subtract 108. I hope you used your pencil and paper to help work that out!
  • Question 8

Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

Q96 is to J248 as C123 is to ______ ?

 

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

CORRECT ANSWER
X275
EDDIE SAYS
Don't forget to look out for these, sequence spotter - the letters follow a mirror image sequence. The number sequence is to add 152. Great!
  • Question 9

Just a couple more to practice! Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

U286 is to L89 as X217 is to ______ ?

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

CORRECT ANSWER
O20
EDDIE SAYS
Check against the alphabet to see that the letter sequence is to take nine jumps backwards. The number sequence is to subtract 197. Now for the final question!
  • Question 10

Here are two groups of letter and number sequences. Each group follows the same special sequence, but with different letters and numbers. 

 

F122 is to U240 as A165 is to ______ ?

 

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

 

TOP TIP: Some of the questions in this activity will follow the mirror image sequenceIf the sequence is not forwards/backwards jumps in the alphabet, then it will be a mirror image sequence

CORRECT ANSWER
Z283
EDDIE SAYS
You should be getting good at spotting these by now - the letters follow a mirror image sequence. The number sequence is to add 118.
Now that the activity's done, we hope you had a heap of fun!
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