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11+ · GL ASSESSMENT

EP.V24 Verbal Reasoning: Codes, Sequences and Logic Depth

Calculators not allowed · about 35 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

This is a 35-minute Verbal Reasoning depth practice on codes, sequences and logic, styled on GL Assessment 11+ multiple-choice papers. There are 40 questions across six sections: Letters for Numbers, Letter Sequences, Number Series, Word Codes, Number Codes and Deductive Logic. Every question is worth 1 mark, for 40 marks in total. Difficulty increases through each section and across the pack as a whole, finishing with scholarship-level stretch questions. For each question, choose the ONE best answer from the options A to E. No calculator is allowed. Read every rule, example or set of statements carefully; in the Deductive Logic section, treat every statement as TRUE and use only the information given.

Worked example. Worked example (Letters for Numbers): using A=1, B=2, C=3, up to Z=26, what is the value of the word "BAT"? Answer: 23. Each letter is replaced by its position in the alphabet: B=2, A=1, T=20. Adding these together gives 2+1+20=23. Apply the same careful, step-by-step approach throughout this pack, even as the sections move on to letter sequences, number series, word codes, number codes and deductive logic puzzles, always reading the rule or statements given in each question closely, since they can change from question to question.

SECTION 1: LETTERS FOR NUMBERS (6 minutes, 7 questions)

In this section, use A=1, B=2, C=3, up to Z=26, unless a question tells you to use a different rule.

Q1. What is the sum of the letter values in the word "CAB"?

A) 5
B) 6
C) 7
D) 8
E) 9

(Total for Question 1 is 1 mark)

(Letters for Numbers) Q2. What number does the letter "J" represent?

A) 9
B) 10
C) 11
D) 19
E) 20

(Total for Question 2 is 1 mark)

(Letters for Numbers) Q3. What is the value of the word "DOG" (the sum of its letter values)?

A) 24
B) 25
C) 26
D) 27
E) 28

(Total for Question 3 is 1 mark)

(Letters for Numbers) Q4. Using the reversed alphabet, where A=26, B=25, C=24, down to Z=1, what is the value of the word "CAT"?

A) 55
B) 56
C) 57
D) 58
E) 59

(Total for Question 4 is 1 mark)

(Letters for Numbers) Q5. Using A=1, B=2, up to Z=26, which of these words has the HIGHEST total letter value?

A) BAT
B) CAT
C) HAT
D) MAT
E) RAT

(Total for Question 5 is 1 mark)

(Letters for Numbers) Q6. Using A=1, B=2, up to Z=26, what is the value of "SUN" minus the value of "ICE"?

A) 35
B) 36
C) 37
D) 38
E) 39

(Total for Question 6 is 1 mark)

(Letters for Numbers) Q7. In a code, each letter's value is its alphabet position plus 3 (so A=4, B=5, C=6, and so on). Using this rule, what is the value of the word "FOG"?

A) 34
B) 35
C) 36
D) 37
E) 38

(Total for Question 7 is 1 mark)

SECTION 2: LETTER SEQUENCES (6 minutes, 7 questions)

Work out the rule connecting the letters, then choose the letter that continues the sequence or fills the gap.

Q1. What comes next in the sequence? B, D, F, H, ?

A) I
B) J
C) K
D) L
E) M

(Total for Question 8 is 1 mark)

(Letter Sequences) Q2. What comes next? A, C, F, J, ?

A) M
B) N
C) O
D) P
E) Q

(Total for Question 9 is 1 mark)

(Letter Sequences) Q3. Find the missing letter: Z, X, V, T, ?, P

A) Q
B) R
C) S
D) U
E) N

(Total for Question 10 is 1 mark)

(Letter Sequences) Q4. Which letter completes the sequence? C, F, I, L, O, ?

A) P
B) Q
C) R
D) S
E) T

(Total for Question 11 is 1 mark)

(Letter Sequences) Q5. What comes next? AB, CD, EF, GH, ?

A) HI
B) IJ
C) IK
D) JK
E) HJ

(Total for Question 12 is 1 mark)

(Letter Sequences) Q6. What comes next in the sequence? A, Z, B, Y, C, X, ?

A) D
B) E
C) W
D) V
E) F

(Total for Question 13 is 1 mark)

(Letter Sequences) Q7. What comes next? DFH, GIK, JLN, ?

A) LNP
B) MOQ
C) MNQ
D) KMO
E) NPR

(Total for Question 14 is 1 mark)

SECTION 3: NUMBER SERIES (6 minutes, 7 questions)

Work out the rule connecting the numbers, then choose the number that continues the sequence or fills the gap. No calculator is needed, but work carefully.

Q1. What comes next? 3, 6, 9, 12, ?

A) 13
B) 14
C) 15
D) 16
E) 18

(Total for Question 15 is 1 mark)

(Number Series) Q2. What comes next? 2, 4, 8, 16, ?

A) 24
B) 28
C) 30
D) 32
E) 34

(Total for Question 16 is 1 mark)

(Number Series) Q3. What comes next? 1, 4, 9, 16, 25, ?

A) 30
B) 32
C) 34
D) 35
E) 36

(Total for Question 17 is 1 mark)

(Number Series) Q4. Find the missing number: 100, 91, 83, 76, 70, ?

A) 63
B) 64
C) 65
D) 66
E) 67

(Total for Question 18 is 1 mark)

(Number Series) Q5. What comes next? 2, 3, 5, 8, 13, ?

A) 18
B) 19
C) 20
D) 21
E) 22

(Total for Question 19 is 1 mark)

(Number Series) Q6. What comes next? 1, 2, 6, 24, ?

A) 96
B) 100
C) 108
D) 120
E) 144

(Total for Question 20 is 1 mark)

(Number Series) Q7. What comes next? 5, 8, 7, 10, 9, 12, ?

A) 10
B) 11
C) 13
D) 14
E) 15

(Total for Question 21 is 1 mark)

SECTION 4: WORD CODES (6 minutes, 7 questions)

Study the example word (or words) and its code to work out the rule, then apply the same rule to the new word. A different rule may apply in each question.

Q1. If the code for CAT is DBU, what is the code for DOG?

A) EPH
B) EPG
C) DPH
D) EQH
E) FPH

(Total for Question 22 is 1 mark)

(Word Codes) Q2. If the code for BIRD is CJSE, what is the code for FISH?

A) GJTI
B) GITI
C) GJTH
D) HJTI
E) GJSI

(Total for Question 23 is 1 mark)

(Word Codes) Q3. If the code for GOLD is FNKC, what is the code for SILK?

A) RHKJ
B) RHJK
C) RHKI
D) SHKJ
E) RGKJ

(Total for Question 24 is 1 mark)

(Word Codes) Q4. In a code, each word is spelled backwards. What is the code for TRAIN?

A) NIART
B) NIRAT
C) NAIRT
D) NITAR
E) TRIAN

(Total for Question 25 is 1 mark)

(Word Codes) Q5. If the code for PLAY is RNCA, what is the code for GAME?

A) ICOG
B) IBOG
C) ICOF
D) HCOG
E) ICPG

(Total for Question 26 is 1 mark)

(Word Codes) Q6. In a code, a word is first spelled backwards, then every letter is moved 1 place forward in the alphabet. What is the code for STAR?

A) SBUT
B) RBUT
C) SBUS
D) SBTU
E) TBUT

(Total for Question 27 is 1 mark)

(Word Codes) Q7. In a code, MOON is written as OQQP, and STAR is written as UVCT. Using the same rule, what is the code for SUN?

A) UWP
B) UVP
C) UWQ
D) TWP
E) UWO

(Total for Question 28 is 1 mark)

SECTION 5: NUMBER CODES (5 minutes, 6 questions)

Study the example number (or numbers) and its code to work out the rule, then apply the same rule to the new number. A different rule may apply in each question.

Q1. If the code for 5346 is 6457, what is the code for 3128?

A) 4239
B) 4238
C) 4237
D) 4139
E) 4229

(Total for Question 29 is 1 mark)

(Number Codes) Q2. If the code for 9214 is 4129, what is the code for 5378?

A) 8735
B) 8753
C) 7835
D) 8357
E) 5873

(Total for Question 30 is 1 mark)

(Number Codes) Q3. In a code, each digit is replaced by (9 minus the digit). If the code for 1234 is 8765, what is the code for 5670?

A) 4329
B) 4239
C) 4320
D) 4328
E) 3429

(Total for Question 31 is 1 mark)

(Number Codes) Q4. In a code, a two-digit number is written as (the sum of its digits) followed by (the number reversed). For example, the code for 34 is 743 (3+4=7, and 34 reversed is 43). What is the code for 52?

A) 725
B) 257
C) 735
D) 527
E) 752

(Total for Question 32 is 1 mark)

(Number Codes) Q5. In a code, each digit is replaced by the remainder left over when the digit is multiplied by 3 and then divided by 7. For example, 2 becomes 6 (2x3=6, and 6 divided by 7 leaves remainder 6), and 5 becomes 1 (5x3=15, and 15 divided by 7 leaves remainder 1). Using this rule, what is the code for the two-digit number 26?

A) 64
B) 63
C) 66
D) 46
E) 44

(Total for Question 33 is 1 mark)

(Number Codes) Q6. In a code, a two-digit number with both digits the same is transformed as follows: multiply the tens digit by 2, multiply the units digit by 3, then add the two results together. For example, the code for 34 is 18 (3x2=6, 4x3=12, 6+12=18). Given that both digits are equal, which two-digit number has the code 25?

A) 44
B) 55
C) 66
D) 33
E) 25

(Total for Question 34 is 1 mark)

SECTION 6: DEDUCTIVE LOGIC (6 minutes, 6 questions)

Treat every statement as TRUE, even if it seems unlikely, and use ONLY the information given (not outside knowledge or guesswork) to work out the answer.

Q1. Priya scored higher than Owen in a spelling test. Owen scored higher than Faisal. Grace scored higher than Priya but lower than Aisha. Who scored the lowest?

A) Priya
B) Owen
C) Faisal
D) Grace
E) Aisha

(Total for Question 35 is 1 mark)

(Deductive Logic) Q2. Tariq is Aisha's brother. Aisha is Ben's mother. Ben is Chloe's brother. How is Tariq related to Chloe?

A) Father
B) Brother
C) Uncle
D) Grandfather
E) Cousin

(Total for Question 36 is 1 mark)

(Deductive Logic) Q3. Six children, Sam, Priya, Owen, Grace, Leah and Kofi, are standing in a line at the library. Owen is not at either end of the line. Priya is standing immediately in front of Owen. Kofi is at the front of the line. Grace is at the back of the line. Leah is standing somewhere behind Priya. Sam is standing immediately behind Owen. What is Owen's position in the line, counting the front as position 1?

A) 2
B) 3
C) 4
D) 5
E) Cannot be determined

(Total for Question 37 is 1 mark)

(Deductive Logic) Q4. All the doctors at Riverside Clinic wear white coats. Dr Amara is not wearing a white coat. What can you conclude?

A) Dr Amara is not a doctor
B) Dr Amara does not work at Riverside Clinic
C) Dr Amara is not a doctor at Riverside Clinic
D) All doctors wear white coats except Dr Amara
E) Riverside Clinic has no doctors

(Total for Question 38 is 1 mark)

(Deductive Logic) Q5. Ethan is twice as old as his sister Maryam. In 6 years, Ethan will be 1.5 times as old as Maryam. How old is Maryam now?

A) 4
B) 5
C) 6
D) 8
E) 9

(Total for Question 39 is 1 mark)

(Deductive Logic) Q6. In a code, the number for a value n is the number of letters in the English word for n. For example, the code for 4 is 4 ("four" has 4 letters), and the code for 3 is 5 ("three" has 5 letters). Using this rule, which of these numbers has a code equal to itself?

A) 1
B) 2
C) 3
D) 4
E) 5

(Total for Question 40 is 1 mark)

Mark scheme · EP.V24 Verbal Reasoning: Codes, Sequences and Logic Depth

Question 1

B1 B) 6 - C=3, A=1, B=2, so the sum is 3+1+2=6 cao
Answer: B) 6

Question 2

B1 B) 10 - counting A=1, B=2, and so on, the 10th letter of the alphabet is J, so J=10 cao
Answer: B) 10

Question 3

B1 C) 26 - D=4, O=15, G=7, so the sum is 4+15+7=26 cao
Answer: C) 26

Question 4

B1 C) 57 - in the reversed alphabet, value = 27 minus the normal alphabet position, so C=27-3=24, A=27-1=26, T=27-20=7, giving 24+26+7=57 cao
Answer: C) 57

Question 5

B1 E) RAT - BAT=2+1+20=23, CAT=3+1+20=24, HAT=8+1+20=29, MAT=13+1+20=34, RAT=18+1+20=39, so RAT has the highest total cao
Answer: E) RAT

Question 6

B1 C) 37 - SUN=19+21+14=54, ICE=9+3+5=17, so the difference is 54-17=37 cao
Answer: C) 37

Question 7

B1 D) 37 - F=6+3=9, O=15+3=18, G=7+3=10, so the sum is 9+18+10=37 cao
Answer: D) 37

Question 8

B1 B) J - the sequence increases by 2 alphabet places each time: B(2), D(4), F(6), H(8), so the next term is 8+2=10=J cao
Answer: B) J

Question 9

B1 C) O - the differences between terms increase by 1 each time (+2, +3, +4), so the next difference is +5: 10+5=15=O cao
Answer: C) O

Question 10

B1 B) R - the sequence decreases by 2 alphabet places each time: Z(26), X(24), V(22), T(20), so the missing term is 20-2=18=R, and R-2=16=P matches the given final term cao
Answer: B) R

Question 11

B1 C) R - the sequence increases by 3 alphabet places each time: C(3), F(6), I(9), L(12), O(15), so the next term is 15+3=18=R cao
Answer: C) R

Question 12

B1 B) IJ - each pair of letters moves 2 alphabet places further on: AB(1,2), CD(3,4), EF(5,6), GH(7,8), so the next pair is IJ(9,10) cao
Answer: B) IJ

Question 13

B1 A) D - the sequence interleaves two patterns: the 1st, 3rd and 5th terms run forward A, B, C, ...; the 2nd, 4th and 6th terms run backward Z, Y, X, ...; the 7th term continues the forward pattern, giving D cao
Answer: A) D

Question 14

B1 B) MOQ - within each group the letters increase by 2 (e.g. D,F,H), and the first letters of the groups increase by 3 between groups: D(4), G(7), J(10), so the next group starts at 13=M, giving M,O,Q cao
Answer: B) MOQ

Question 15

B1 C) 15 - the sequence increases by 3 each time: 3,6,9,12, so the next term is 12+3=15 cao
Answer: C) 15

Question 16

B1 D) 32 - each term doubles: 2,4,8,16, so the next term is 16x2=32 cao
Answer: D) 32

Question 17

B1 E) 36 - the sequence is the square numbers 1² to 5², so the next term is 6²=36 cao
Answer: E) 36

Question 18

B1 C) 65 - the differences decrease by 1 each time: 9,8,7,6, so the next difference is 5, giving 70-5=65 cao
Answer: C) 65

Question 19

B1 D) 21 - each term is the sum of the two terms before it: 5=2+3, 8=3+5, 13=5+8, so the next term is 8+13=21 cao
Answer: D) 21

Question 20

B1 D) 120 - each term is multiplied by an increasing whole number: 1x2=2, 2x3=6, 6x4=24, so the next term is 24x5=120 cao
Answer: D) 120

Question 21

B1 B) 11 - the sequence alternates +3 and -1: 5+3=8, 8-1=7, 7+3=10, 10-1=9, 9+3=12; the last step used was +3, so the next step is -1, giving 12-1=11 cao
Answer: B) 11

Question 22

B1 A) EPH - comparing CAT and DBU shows each letter shifts 1 place forward (C to D, A to B, T to U); applying this to DOG gives D to E, O to P, G to H, i.e. EPH cao
Answer: A) EPH

Question 23

B1 A) GJTI - comparing BIRD and CJSE shows each letter shifts 1 place forward; applying this to FISH gives F to G, I to J, S to T, H to I, i.e. GJTI cao
Answer: A) GJTI

Question 24

B1 A) RHKJ - comparing GOLD and FNKC shows each letter shifts 1 place back; applying this to SILK gives S to R, I to H, L to K, K to J, i.e. RHKJ cao
Answer: A) RHKJ

Question 25

B1 A) NIART - spelling TRAIN backwards, letter by letter (T,R,A,I,N becomes N,I,A,R,T), gives NIART cao
Answer: A) NIART

Question 26

B1 A) ICOG - comparing PLAY and RNCA shows each letter shifts 2 places forward, wrapping past Z (P to R, L to N, A to C, Y to A); applying this to GAME gives G to I, A to C, M to O, E to G, i.e. ICOG cao
Answer: A) ICOG

Question 27

B1 A) SBUT - STAR spelled backwards is RATS; shifting each letter forward by 1 gives R to S, A to B, T to U, S to T, i.e. SBUT cao
Answer: A) SBUT

Question 28

B1 A) UWP - both examples confirm the rule 'shift every letter forward by 2': in MOON each letter shifts to O,Q,Q,P, and in STAR each letter shifts to U,V,C,T, matching the codes given; applying the same rule to SUN gives S to U, U to W, N to P, i.e. UWP cao
Answer: A) UWP

Question 29

B1 A) 4239 - comparing 5346 and 6457 shows each digit increases by 1 (5 to 6, 3 to 4, 4 to 5, 6 to 7); applying this to 3128 gives 3 to 4, 1 to 2, 2 to 3, 8 to 9, i.e. 4239 cao
Answer: A) 4239

Question 30

B1 A) 8735 - comparing 9214 and 4129 shows the digits are in exactly reverse order; applying this to 5378, reversed, gives 8735 cao
Answer: A) 8735

Question 31

B1 A) 4329 - checking the rule against 1234: 9-1=8, 9-2=7, 9-3=6, 9-4=5, matching 8765; applying it to 5670 gives 9-5=4, 9-6=3, 9-7=2, 9-0=9, i.e. 4329 cao
Answer: A) 4329

Question 32

B1 A) 725 - the digit sum of 52 is 5+2=7, and 52 reversed is 25, so the code is 7 followed by 25, i.e. 725 cao
Answer: A) 725

Question 33

B1 A) 64 - digit 2 gives code 6 (as shown); digit 6 gives 6x3=18, and 18 divided by 7 is 2 remainder 4, so the code for 26 is 6 then 4, i.e. 64 cao
Answer: A) 64

Question 34

B1 B) 55 - let the repeated digit be d; the code is (2xd)+(3xd)=5d; setting 5d=25 gives d=5, so the number is 55 cao
Answer: B) 55

Question 35

B1 C) Faisal - combining the clues gives the full order Aisha, Grace, Priya, Owen, Faisal (highest to lowest), so Faisal scored the lowest cao
Answer: C) Faisal

Question 36

B1 C) Uncle - Tariq and Aisha are siblings; Aisha is Ben's mother, and Ben is Chloe's brother, so Chloe is also Aisha's child; as Aisha's sibling, Tariq is the uncle of Aisha's children, so Tariq is Chloe's uncle cao
Answer: C) Uncle

Question 37

B1 B) 3 - Kofi is 1 and Grace is 6; testing Owen=3 gives Priya=2, Sam=4, Leah=5, and Leah (5) is behind Priya (2), satisfying every clue; testing Owen=4 gives Priya=3, Sam=5, Leah=2, but Leah (2) is not behind Priya (3), so this fails; the only valid position for Owen is 3 cao
Answer: B) 3

Question 38

B1 C) Dr Amara is not a doctor at Riverside Clinic - the statement means: doctor at Riverside Clinic implies wears a white coat; since Dr Amara does not wear a white coat, by the same rule she is not a doctor at Riverside Clinic; this is the only conclusion the statement supports cao
Answer: C) Dr Amara is not a doctor at Riverside Clinic

Question 39

B1 C) 6 - let Maryam's age now be m, so Ethan's age now is 2m; in 6 years, 2m+6 = 1.5(m+6); expanding gives 2m+6 = 1.5m+9, so 0.5m=3, giving m=6 cao
Answer: C) 6

Question 40

B1 D) 4 - checking each option: "one" has 3 letters (not 1), "two" has 3 letters (not 2), "three" has 5 letters (not 3), "four" has 4 letters (matches 4), "five" has 4 letters (not 5); only 4 gives a code equal to itself cao
Answer: D) 4

Verbal Reasoning: Codes, Sequences and Logic Depth - Worksheets, Questions and Revision