Arithmetic and Logic
Vera’s pool is 12 meters long, so a full lap is 24 meters. She swims 6 laps a day for a week. Her brother swims 7.5 laps a day for a week. How many more meters does her brother swim in a week?
252 meters
What three numbers added together equal 15 and multiplied together equal 105? (Ordered highest to lowest)
7, 5, 3
solve for X
2x + 3 = 11
x= 4
You have 10 black socks and 10 blue socks mixed in a drawer. In the dark, what is the minimum number of socks you must grab to ensure you have a matching pair?
3
If you build the outline of a cube using toothpicks for the edges, how many toothpicks do you need?
12
A snail climbs 3ft up a wall during the day and slips 2ft down at night. How many days to climb a 10ft wall?
8 days
Find the Greatest Common Divisor of 40 and 70.
10
Train A leaves New York for D.C. at 60 mph. Train B leaves D.C. for New York at 40 mph. When they meet, which train is closer to New York?
They are the same distance.
How many 3-digit numbers can be formed using digits with no repeats?
24
A rectangle has a width of 5 cm. Its length is double its width. What is the perimeter?
30 CM
What is the sum of all integers from 1 to 100?
5050
If there are 10 people in a room and everyone shakes hands with everyone else exactly once, how many handshakes occur?
45
The Age Puzzle (Intermediate): A sister is four times her brother's age. In 10 years, she will be twice as old. How old are they now?
Solution: Brother is 5, Sister is 20
How many 3-digit palindromes are even numbers?
HINT: ABA
4
How many triangles are in a square that has both of its diagonals drawn?
8
Three friends pay $30 for a room ($10 each). The manager realizes it should be $25 and gives $5 to the bellboy. The bellboy keeps $2 and gives $1 back to each friend. Now they’ve paid $9 each ($27 total) plus the $2 the bellboy kept = $29. Where is the extra dollar?
There are no extra dollars.
$0
The Fibonacci Sequence: What are the next two numbers in the sequence: 1, 1, 2, 3, 5, 8, ...?
13, 21
Work Rate: If it takes 5 machines 5 minutes to make 5 widgets, how long does it take 100 machines to make 100 widgets?
5 minutes
What is the sum of the smallest 2-digit palindrome and the smallest 3-digit palindrome?
112
A carpenter made some three-legged stools and some four-legged chairs. The total number of stools and chairs was 30, and the carpenter used 103 legs in all. How many chairs did he make?
Old McDonald had some chickens and cows. He counted 15 heads and 42 feet. How many cows were in there?
6 cows
DAILY DOUBLE:
Find digits A and B so that A679B is divisible by 36.
36792 A: 3 B: 2
86796 A: 8 B: 6
A lily pad doubles in size every day. If it fills a pond in 48 days, on which day was the pond half-full?
Day 47.
On a 12-hour digital clock (displaying H:MM), what is the first palindrome time after 12:59?
1:01
Amy and Beth found seashells at the beach. Amy found three times as many as Beth. They found 36 seashells altogether. How many more seashells did Amy find than Beth?
18