Brain Teasers

## Fun Corner

Adding Fun to Math and Science!

*Hover for the Correct Answers!*

Correct Answer: The empty jar weights 100 g

Correct Answer: The force of attraction between the two 100-gram apples placed 1 meter apart is approximately 6.67 × 10^-13 Newtons.

Correct Answer: So, the 20 kg child should sit approximately 1.33 meters from the fulcrum on the right side to balance the seesaw, with the 40 kg child sitting at 4 meters from the fulcrum on the left side and the other 20 kg child sitting at 1.33 meters from the fulcrum on the right side.

Correct Answer: Time=16 seconds

Correct Answer: Area=(2-√3)⁄(2+√3)²

Correct Answer: 15

Correct Answer: 3 5⁄6

Correct Answer: Area is 300 square units

Correct Answer: 20

Correct Answer: 1⁄3

Correct Answer: H = 3; W = 17 1⁄7

Correct Answer: Red/Green = 3/7

Correct Answer: Let’s take a look at a 1×1 square. How many squares are there in a 1×1 square? Well, that’s easy– there’s just one. Let’s take a look at a 2×2 square. How many squares are there in a 2×2 square? We see that there are 4 smaller squares (1×1) and there is 1 larger square (2×2). There are a total of(4 + 1) or 5 squares. Now let’s take a look at a 3×3 square. How many squares are there in a 3×3 square? We see that there are 9 smaller squares (3×3) and there are 4 larger squares (2×2) and there is 1 very large square (3×3). There is a total of (9 + 4 + 1) or 14 squares. How many squares are there in a 4×4 square? We see that there are 16 smaller squares (4×4), and there are 9 (3×3) there are 4 larger squares (2×2) and there is 1 very large square (3×3). There is a total of (16 + 9+4+1) or 30 squares. So on. The pattern is the sum of the perfect squares from 1 to the number that we’re working on. For 8x checkerboard, the total number of square is 204. 1² + 2² + 3²+ 4² + 5² + 6² + 7² + 8² = 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 = 204

Correct Answer: The word BRIGHT has 6 letters. The multiple of 6 nearest to 43 is 42. This means after writing 7 times the word BRIGHT Sam would have written 42 letters. Therefore, the 43rd letter Sam wrote would be the first letter of the word B. BRIGHT BRIGHT BRIGHT BRIGHT BRIGHT BRIGHT BRIGHT B

Correct Answer: triangle= 24oz, rectangle= 12oz, square= 12oz, heart= 4oz

Correct Answer: 8 meters

Correct Answer: The table is 1 meter tall.