Leap Logic 1

A patch of lily pads float in a lake. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?

• 2

• 24

• 36

• 47

• 1/2

• 1/3

• 1/4

• 1/8

If the radius of each semicircle is 5, what’s the total shaded area?

• 25

• 50

• 100

• 125

Mary cut off 2/5 of a piece of string. Later, she cut off another 14 m. The ratio of the length of string remaining to the total length cut off is 1:3. What is the length of the remaining string?

• 5 m

• 7 m

• 10 m

• 14 m

There are two tribes in Mars, the Lie tribe and the Truth Tribe. The Lie tribe always speaks a lie, and the True tribe always speaks the truth. You meet three Mars people:

First Person: You ask “What tribe you belong to?” He replies something in his language which you don’t understand.

Second person: She translates for you and tells you that the first person is saying that he belongs to Lie Tribe.

Third person: He says that second person is lying.

What tribe does the third person belong to?

• Truth Tribe

• Lie Tribe

How many times a day do the minute and hour hands of a clock overlap?

• 21

• 22

• 23

• 24

Four identically-sized squares are arranged in an L. What’s the angle marked in blue?

• 35

• 40

• 45

• 50

Three wise men are told to stand in a straight line, one in front of the other. A hat is put on each of their heads. They are told that each of these hats was selected from a group of five hats: two black hats and three white hats. The first man, standing at the front of the line, can’t see either of the men behind him or their hats. The second man, in the middle, can see only the first man and his hat. The last man, at the rear, can see both other men and their hats.

None of the men can see the hat on his own head. They are asked to deduce its color. Some time goes by as the wise men ponder the puzzle in silence.

Given the others don't answer the first man can determine his hat color. What is that color?

• White

• Black