Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 6

Question 1

What is the next term: 1, 4, 9, 16, 25, 36, 49, [?]?

Accepted Answer

64

Answer

These are perfect squares: 1², 2², ..., 7², 8² = 64.

Question 2

A grid rule: each cell = sum of all cells above it in the same column. Column 1 so far: 3, 3, 6, 12. What is the next value in this column?

Accepted Answer

24

Answer

Each term = sum of all previous in the column, which doubles: 3, 3, 6, 12, 24.

Question 3

If the price of an item increases by 20% and then decreases by 20%, what is the net percentage change?

Accepted Answer

−4% (net decrease)

Answer

After +20%: 1.2x; after −20%: 1.2x × 0.8 = 0.96x — a net 4% decrease.

Question 4

A number sequence: 3, 7, 15, 31, 63, [?]

Accepted Answer

127

Answer

Each term = 2 × previous + 1; 2×63+1 = 127. Alternatively each term = 2ⁿ+1−1.

Question 5

In a class of 36 students, the ratio of boys to girls is 4:5. How many girls are there?

Accepted Answer

20

Answer

Total parts = 4+5 = 9; each part = 36/9 = 4 students; girls = 5×4 = 20.

Mensa Practice Test Practice Test