# 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.

Key stage:  KS 2

Curriculum topic:   Verbal Reasoning

Curriculum subtopic:   Letter Connections

Difficulty level:

### 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.

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.

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.

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.

F78 is to M98 as X67 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

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

S60 is to J36 as N75 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

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

U50 is to E19 as Q56 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

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

S46 is to O88 as M49 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

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

L54 is to D88 as M39 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

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

W87 is to H48 as N75 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

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

W67 is to M99 as L49 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

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

R97 is to D56 as K54 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

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

T99 is to K63 as Q77 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

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

Q20 is to C68 as U32 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

• Question 1

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

F78 is to M98 as X67 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
E87
EDDIE SAYS
Nice to see you, detective! There are two sequences here. The letter sequence follows the alphabet forwards seven jumps. The number sequence is add 20.
Top tip: The letters can jump forwards or backwards and the number sequence can be addition or subtraction. You can work out the letter sequence first, then the number one.
• Question 2

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

S60 is to J36 as N75 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
E51
EDDIE SAYS
Super! The letter sequence is to make nine jumps backwards in the alphabet. The number sequence is to subtract 24.
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. One method is to add/subtract the tens, then do the same for the units.
• Question 3

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

U50 is to E19 as Q56 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
A25
EDDIE SAYS
The letter sequence here is to take ten jumps forwards in the alphabet. The number sequence is to subtract 31. Fantastic!
• Question 4

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

S46 is to O88 as M49 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

I91
EDDIE SAYS
Did you find the missing letter and number? The letter sequence is to make four jumps backwards in the alphabet. The number sequence is to add 42.
• Question 5

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

L54 is to D88 as M39 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

E73
EDDIE SAYS
Super-cool effort! The letter sequence is to make eight jumps backwards in the alphabet. The number sequence is to add 34.
• Question 6

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

W87 is to H48 as N75 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
Y36
EDDIE SAYS
The letter sequence is to make eleven jumps forwards in the alphabet. The number sequence is to take away 39.
With all these sequences your solving, you're becoming a letter and number expert!
• Question 7

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

W67 is to M99 as L49 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
B81
EDDIE SAYS
The letter sequence is to make ten jumps backwards in the alphabet. The number sequence is to add 32. Great sequence spotting!
• Question 8

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

R97 is to D56 as K54 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

W13
EDDIE SAYS
Lots of jumps here so make sure you are counting accurately! The letter sequence here is to make twelve jumps forwards in the alphabet. The number sequence is to subtract 41.
• Question 9

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

T99 is to K63 as Q77 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
H41
EDDIE SAYS
The letter sequence is to make nine jumps backwards in the alphabet. The number sequence is to subtract 36. Let's see what the last question is, detective!
• Question 10

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

Q20 is to C68 as U32 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

G80
EDDIE SAYS
The letter sequence is to make twelve jumps forwards in the alphabet. The number sequence is to add forty-eight.
Wow, what a mission! You're help is truly appreciated. See you soon!
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