Overview

This set of 20 advanced verbal reasoning questions is based on arithmetic sequences, designed specifically for students preparing for the 11+ exam. These questions challenge students to identify patterns, rules, and relationships in sequences where numbers increase or decrease by a constant value. Students need to apply logical thinking to predict the next numbers in the sequence or fill in the gaps.

Example Question:

Example 1

Consider the following sequence:
7, 14, 21, 28, ?

Question: What number should come next in the sequence?

Solution:
The difference between each number is +7 (14 – 7 = 7, 21 – 14 = 7, etc.). Therefore, the next number is 28 + 7 = 35.

Questions

Basic Arithmetic Sequences

Question 1

What is the next number in the sequence?
10, 20, 30, 40, ?

Question 2

Find the missing number in the sequence:
6, 12, ?, 24, 30

Question 3

Which number comes next in the sequence?
9, 16, 23, 30, ?

Question 4

Identify the missing number:
50, 45, 40, 35, ?

Question 5

Complete the following sequence:
11, 22, 33, 44, ?

Intermediate Arithmetic Sequences

Question 6

What is the next number in the sequence?
5, 10, 17, 26, ?

Question 7

Find the missing number in the following sequence:
100, 90, ?, 70, 60

Question 8

Identify the next number in this sequence:
13, 19, 25, 31, ?

Question 9

Complete the sequence below:
7, 14, 28, ?, 112

Question 10

Find the missing number in this arithmetic sequence:
8, 14, 20, 26, ?

Advanced Arithmetic Sequences

Question 11

What is the missing number in the following sequence?
90, 81, 72, ?, 54

Question 12

Complete the sequence:
24, 36, 48, ?, 72

Question 13

Identify the next number in the sequence:
6, 18, 54, ?, 486

Question 14

Find the missing number in this decreasing sequence:
150, 130, 110, ?, 70

Question 15

What is the next number in this sequence?
80, 74, 68, 62, ?

Expert-Level Arithmetic Sequences

Question 16

Complete the following sequence:
150, 175, 200, 225, ?

Question 17

Find the missing number in this complex sequence:
400, 200, 100, 50, ?

Question 18

Identify the next number in the sequence:
300, 275, 250, 225, ?

Question 19

What is the missing number in the sequence?
1, 4, 9, 16, ?

Question 20

Complete this alternating sequence:
60, 70, 65, 75, 70, ?

Answers

Basic Arithmetic Sequences

  1. The next number is 50.
    Rule: Add 10 to each number.
  2. The missing number is 18.
    Rule: Add 6 between each number.
  3. The next number is 37.
    Rule: Add 7 to each number.
  4. The missing number is 30.
    Rule: Subtract 5 from each number.
  5. The next number is 55.
    Rule: Add 11 to each number.

Intermediate Arithmetic Sequences

  1. The next number is 37.
    Rule: Add increasing increments of 5, 7, 9, etc.
  2. The missing number is 80.
    Rule: Subtract 10 from each number.
  3. The next number is 37.
    Rule: Add 6 to each number.
  4. The missing number is 56.
    Rule: Double each number (7 × 2 = 14, 14 × 2 = 28, etc.).
  5. The missing number is 32.
    Rule: Add 6 to each number.

Advanced Arithmetic Sequences

  1. The missing number is 63.
    Rule: Subtract 9 from each number.
  2. The missing number is 60.
    Rule: Add 12 to each number.
  3. The missing number is 162.
    Rule: Multiply each number by 3.
  4. The missing number is 90.
    Rule: Subtract 20 from each number.
  5. The next number is 56.
    Rule: Subtract 6 from each number.

Expert-Level Arithmetic Sequences

  1. The next number is 250.
    Rule: Add 25 to each number.
  2. The missing number is 25.
    Rule: Divide each number by 2.
  3. The next number is 200.
    Rule: Subtract 25 from each number.
  4. The missing number is 25.
    Rule: Each number is a square of consecutive integers (1², 2², 3², etc.).
  5. The next number is 80.
    Rule: Alternate adding 10 and subtracting 5.

This set of advanced arithmetic sequence questions is designed to challenge students’ numerical reasoning and pattern recognition skills. These tasks help prepare students for the 11+ exam by improving their ability to identify sequences and apply rules to continue patterns.