Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 3

Question 1

What is the missing number? 7, 14, 28, 56, [?], 224

Accepted Answer

112

Answer

Each term doubles; 56 × 2 = 112.

Question 2

In a 3×3 magic square, each row, column, and diagonal sums to the same magic constant. Given top row: 2, 7, 6; middle row: 9, 5, 1; what is the sum of the bottom row?

Accepted Answer

15

Answer

The magic constant for this square is 15 (each row, column, diagonal); bottom row = 4, 3, 8 sums to 15.

Question 3

A sequence: 4, 9, 16, 25, 36, [?]

Accepted Answer

49

Answer

These are perfect squares of consecutive integers starting at 2: 2², 3², 4², 5², 6², 7² = 49.

Question 4

A factory produces 240 units in 8 hours with 6 workers. How many units do 9 workers produce in 10 hours at the same rate?

Accepted Answer

450

Answer

Rate = 240/(8×6) = 5 units per worker per hour; 9 workers × 10 hours × 5 = 450.

Question 5

What value replaces [?] in the sequence: 1, 3, 7, 15, 31, [?]?

Accepted Answer

63

Answer

Each term = 2 × previous + 1; or equivalently each term = 2ⁿ − 1: 1, 3, 7, 15, 31, 63.

Mensa Practice Test Practice Test

Mensa Practice Test Practice Test

Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 3