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11+ · GL ASSESSMENT

EP.V63 Verbal Reasoning: Sequences Set 4

GL ASSESSMENT GL-style-VR · Calculators not allowed · about 24 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Each question in this set shows a sequence of letters, a series of numbers, an alphabet position puzzle, or a mixed letter-and-number code, and each follows its own hidden rule. Work out the rule connecting the terms you are given (a fixed step, a growing or shrinking gap, a multiplying or dividing rule, an alternating pattern, or a rule linking a letter to its position number), then choose the option, A to E, that continues the pattern correctly. This is the fourth set in the series and includes some sequences where the alphabet wraps around from Z back to A. Every question is worth 1 mark.

Worked example. Find the letter that continues the sequence: W, Z, C, F, ( ? ) A) H B) I C) G D) J E) K Answer: B) I. Each letter's position increases by 3, wrapping back to A after Z: W=23, Z=26, then 26+3=29, and since the alphabet only has 26 letters, 29-26=3, which is C. Continuing, C+3=6=F, and F+3=9=I. Option A (H=8) is one position too low; option C (G=7) is two too low; option D (J=10) is one too high; option E (K=11) is two too high.

Find the letter that continues the sequence: G, I, K, M, ( ? )

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

(Total for Question 1 is 1 mark)

Find the letter that continues the sequence: R, P, N, L, ( ? )

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

(Total for Question 2 is 1 mark)

Find the next number in this series: 8, 14, 20, 26, ( ? )

A) 30
B) 34
C) 32
D) 38
E) 28

(Total for Question 3 is 1 mark)

Find the next number in this series: 95, 86, 77, 68, ( ? )

A) 61
B) 57
C) 60
D) 50
E) 59

(Total for Question 4 is 1 mark)

Using A=1, B=2, C=3, and so on, what is the position number of the letter N?

A) 13
B) 15
C) 14
D) 12
E) 16

(Total for Question 5 is 1 mark)

Find the letter that continues the sequence: H, K, N, Q, ( ? )

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

(Total for Question 6 is 1 mark)

Find the letter that continues the sequence: S, P, M, J, ( ? )

A) H
B) F
C) G
D) J
E) E

(Total for Question 7 is 1 mark)

Find the next number in this series: 3, 12, 48, 192, ( ? )

A) 576
B) 960
C) 768
D) 384
E) 786

(Total for Question 8 is 1 mark)

Find the next number in this series: 729, 243, 81, 27, ( ? )

A) 3
B) 6
C) 9
D) 13
E) 18

(Total for Question 9 is 1 mark)

Find the next number in this series: 625, 125, 25, 5, ( ? )

A) 0
B) 1
C) 2
D) 5
E) 3

(Total for Question 10 is 1 mark)

Find the missing letter in this sequence: F, J, ( ? ), R, V

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

(Total for Question 11 is 1 mark)

Find the missing number in this sequence: 12, 24, ( ? ), 96, 192

A) 36
B) 60
C) 48
D) 72
E) 44

(Total for Question 12 is 1 mark)

Which letter is 8 positions after the letter B in the alphabet?

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

(Total for Question 13 is 1 mark)

Which letter is 6 positions before the letter Y in the alphabet?

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

(Total for Question 14 is 1 mark)

Find the term that continues this code sequence: B3, E6, H9, K12, ( ? )

A) N15
B) M15
C) N12
D) N18
E) K15

(Total for Question 15 is 1 mark)

Find the term that continues this code sequence: 1E, 6H, 11K, 16N, ( ? )

A) 21Q
B) 20Q
C) 21N
D) 21T
E) 18Q

(Total for Question 16 is 1 mark)

Find the next number in this series: 5, 7, 10, 14, ( ? )

A) 18
B) 20
C) 19
D) 17
E) 21

(Total for Question 17 is 1 mark)

Find the next number in this series: 80, 76, 70, 62, ( ? )

A) 54
B) 50
C) 52
D) 56
E) 48

(Total for Question 18 is 1 mark)

Find the letter that continues the sequence: A, C, F, J, O, ( ? )

A) T
B) V
C) U
D) S
E) W

(Total for Question 19 is 1 mark)

Which letter lies exactly halfway between E and S in the alphabet, based on their position numbers?

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

(Total for Question 20 is 1 mark)

Add together the position numbers of the letters D and P. Which letter has that resulting position number?

A) S
B) U
C) T
D) L
E) R

(Total for Question 21 is 1 mark)

Take the position number of the letter I, double it, then add 4. Which letter has the resulting position number?

A) U
B) W
C) V
D) M
E) T

(Total for Question 22 is 1 mark)

Start with a letter's position number. Add 5, then subtract 12. The result equals the position number of the letter D. What was the starting letter?

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

(Total for Question 23 is 1 mark)

The letter C comes a certain number of places before L in the alphabet. Which letter comes that same number of places after L?

A) T
B) V
C) U
D) S
E) W

(Total for Question 24 is 1 mark)

Find the letter that continues this sequence, which is built from two interleaved patterns: B, W, E, V, H, U, ( ? )

A) T
B) L
C) K
D) H
E) U

(Total for Question 25 is 1 mark)

Find the term that continues this sequence, built from two interleaved series: 3, 80, 8, 76, 13, 72, 18, ( ? )

A) 23
B) 64
C) 68
D) 70
E) 66

(Total for Question 26 is 1 mark)

Find the letter that continues the sequence, where the alphabet loops back to A after Z: X, Z, B, D, ( ? )

A) E
B) G
C) F
D) Z
E) H

(Total for Question 27 is 1 mark)

Find the letter that continues the sequence, where the alphabet loops back to A after Z: V, Y, B, E, ( ? )

A) G
B) I
C) H
D) F
E) D

(Total for Question 28 is 1 mark)

Find the letter that continues the sequence, where the alphabet loops back to Z after A: C, A, Y, W, ( ? )

A) V
B) T
C) U
D) X
E) S

(Total for Question 29 is 1 mark)

Find the next number in this series: 1, 8, 27, 64, ( ? )

A) 100
B) 91
C) 125
D) 128
E) 105

(Total for Question 30 is 1 mark)

Find the next number in this series: 4, 5, 9, 14, 23, ( ? )

A) 32
B) 37
C) 36
D) 28
E) 46

(Total for Question 31 is 1 mark)

Using the normal alphabet, find the letter that is 6 places after J. Then, using the reverse code where Z=1, Y=2, and so on down to A=26, give that letter's reverse-code number.

A) 16
B) 10
C) 11
D) 15
E) 12

(Total for Question 32 is 1 mark)

Mark scheme · EP.V63 Verbal Reasoning: Sequences Set 4

Question 1

B1 B) O - the letters move up the alphabet in steps of two (G, I, K, M, O); cao
Answer: B) O

Question 2

B1 A) J - the letters move back through the alphabet in steps of two (R, P, N, L, J); cao
Answer: A) J

Question 3

B1 C) 32 - each term increases by 6 (8, 14, 20, 26, 32); cao
Answer: C) 32

Question 4

B1 E) 59 - each term decreases by 9 (95, 86, 77, 68, 59); cao
Answer: E) 59

Question 5

B1 C) 14 - N is the 14th letter of the alphabet; cao
Answer: C) 14

Question 6

B1 C) T - each letter's position increases by three (H=8, K=11, N=14, Q=17, T=20); cao
Answer: C) T

Question 7

B1 C) G - each letter's position decreases by three (S=19, P=16, M=13, J=10, G=7); cao
Answer: C) G

Question 8

B1 C) 768 - each term is multiplied by 4 (3, 12, 48, 192, 768); cao
Answer: C) 768

Question 9

B1 C) 9 - each term is divided by 3 (729, 243, 81, 27, 9); cao
Answer: C) 9

Question 10

B1 B) 1 - each term is divided by 5 (625, 125, 25, 5, 1); cao
Answer: B) 1

Question 11

B1 C) N - the letters move up the alphabet in steps of four (F, J, N, R, V); cao
Answer: C) N

Question 12

B1 C) 48 - each term doubles the one before it (12, 24, 48, 96, 192); cao
Answer: C) 48

Question 13

B1 C) J - B is position 2, and 2+8=10, which is the letter J; cao
Answer: C) J

Question 14

B1 C) S - Y is position 25, and 25-6=19, which is the letter S; cao
Answer: C) S

Question 15

B1 A) N15 - the letters move on three places each time (B, E, H, K, N) and the numbers increase by three each time (3, 6, 9, 12, 15); cao
Answer: A) N15

Question 16

B1 A) 21Q - the numbers increase by five each time (1, 6, 11, 16, 21) and the letters move on three places each time (E, H, K, N, Q); cao
Answer: A) 21Q

Question 17

B1 C) 19 - the gaps grow by one each time (+2, +3, +4), so the next gap is +5; cao
Answer: C) 19

Question 18

B1 C) 52 - the gaps grow by two each time (-4, -6, -8), so the next gap is -10; cao
Answer: C) 52

Question 19

B1 C) U - the gaps grow by one each time (+2, +3, +4, +5), so the next gap is +6; cao
Answer: C) U

Question 20

B1 C) L - the average of E's position (5) and S's position (19) is 12, which is the letter L; cao
Answer: C) L

Question 21

B1 C) T - D is position 4 and P is position 16, and 4+16=20, which is the letter T; cao
Answer: C) T

Question 22

B1 C) V - I is position 9; 9x2=18, and 18+4=22, which is the letter V; cao
Answer: C) V

Question 23

B1 C) K - D is position 4, and working backwards (4+12-5=11) gives position 11, which is the letter K; cao
Answer: C) K

Question 24

B1 C) U - C is 9 places before L (3 to 12), so the answer is 9 places after L (12+9=21), which is U; cao
Answer: C) U

Question 25

B1 C) K - the 1st, 3rd and 5th terms (B, E, H) move on three places each time, so the 7th term continues that pattern to K; cao
Answer: C) K

Question 26

B1 C) 68 - the 2nd, 4th and 6th terms (80, 76, 72) decrease by four each time, so the 8th term continues that pattern to 68; cao
Answer: C) 68

Question 27

B1 C) F - the letters move on two places each time, wrapping from Z back to A (X, Z, B, D, F); cao
Answer: C) F

Question 28

B1 C) H - the letters move on three places each time, wrapping from Z back to A (V, Y, B, E, H); cao
Answer: C) H

Question 29

B1 C) U - the letters move back two places each time, wrapping from A back to Z (C, A, Y, W, U); cao
Answer: C) U

Question 30

B1 C) 125 - each term is a cube number (1=1³, 8=2³, 27=3³, 64=4³, 125=5³); cao
Answer: C) 125

Question 31

B1 B) 37 - each term is the sum of the two terms before it (4+5=9, 5+9=14, 9+14=23, 14+23=37); cao
Answer: B) 37

Question 32

B1 C) 11 - J is position 10, so 6 places after J is P (position 16); converting to the reverse code gives 26-16+1=11; cao
Answer: C) 11

Verbal Reasoning: Sequences Set 4 - Worksheets, Questions and Revision