Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 8

Question 1

What is the next term in the sequence: 1, 8, 27, 64, 125, [?]?

Accepted Answer

216

Answer

These are perfect cubes: 1³, 2³, 3³, 4³, 5³, 6³ = 216.

Question 2

A number sequence: 12, 21, 23, 32, 34, 43, 45, [?]

Accepted Answer

54

Answer

The pattern: +9, +2, +9, +2, +9, +2, +9; after 45+9 = 54.

Question 3

If a tank is 2/5 full and 240 liters are needed to fill it completely, what is the total capacity?

Accepted Answer

400 liters

Answer

2/5 is full, so 3/5 is empty = 240 liters; total = 240 ÷ (3/5) = 400 liters.

Question 4

A sequence: 1, 2, 6, 24, 120, [?]

Accepted Answer

720

Answer

These are factorials: 1!, 2!, 3!, 4!, 5!, 6! = 720.

Question 5

Two cyclists start from the same point, traveling in opposite directions at 15 km/h and 20 km/h. How far apart are they after 90 minutes?

Accepted Answer

52.5 km

Answer

Combined speed = 35 km/h; time = 1.5 hours; distance = 35 × 1.5 = 52.5 km.

Mensa Practice Test Practice Test