## Midway Numbers

Select the number that is midway between the lowest number and the highest number.

Which number is midway between that number and the number that is nearest the highest number?

35 5 52 36 67 69 4 51 37 71 55 68 3 53 39

53.

37 is midway between 3 (the lowest number) and 71 (the highest number).

53 is midway between 37 and 69 (nearest to the highest number).

## Words With Many Faces

My letters become three faces,

One has gone to far away places,

Another sets a standard high,

The third can never be a guy.

What are the three words?

Sailed, ideals and ladies.

## A Silent Murder Witness

Emily witnessed a murder in early January but didn’t call the police. Why?

It was a murder of crows.

## Picking Red Balls

A bag contains 64 balls of eight different colors. There are eight of each color (including red).

What is the smallest number you would have to pick, without looking, to be sure of selecting 3 red balls?

59. The first 56 balls could all be non-red colors. If that happened, you’d have to choose from the 8 remaining balls, all of which would be red.

## Seemingly Simple Math

What is the answer to this math problem:

8 ÷ 2 (2 + 2)

16 or 1, depending.

According to PEMDAS, parentheses come first: 8 ÷ 2 (4)

Then, even though multiplication is first in PEMDAS, you go left to right: 4 (4) = 16

If you got 1, you’re in good company. That’s what I got at first too but most calculators I’ve tried get 16.

I found this at Popular Mechanics and the debate continues online.

## Brothers And Sisters Of Leopold

If Leopold had one more sister he would have twice as many sisters as brothers.

If he had one more brother he would have the same number of each.

How many brothers and sisters does Leopold have?

Three sisters and two brothers.

## Sum of Consecutives

What is the sum of the numbers in the following list which are consecutive?

15 5 10 28 24 7 18 26 11 21 17 13 22 9 1 20

The consecutive numbers are: 9, 10, 11; 17, 18; and 20, 21, 22.

The sum of those numbers is 128.

## Reverse to Equal Ten

Which two of these rows can be reversed so the total of each row, across and down, equals 10?

A. 5 4 1

B. 6 1 3

C. 3 5 2

Rows B and C, becoming:

A. 5 4 1

B. 3 1 6

C. 2 5 3

## A Sign in Japan

This sign was seen in Japan. What does it mean?

It’s a glass sign containing instructions on a glass door.

It says PULL on one side and PUSH on the opposite side.

## Counting Squares

How many squares of any size are in this grid?

30.

There are:

16 1×1 squares

9 2×2 squares

4 3×3 squares

1 4×4 square (the whole shape)

Hence, 16 + 9 + 4 + 1 = 30.