CAT 1
CAT 2
CAT 3
CAT 4
CAT 5
100
What number do you get when you multiply all of the numbers on a telephone keypad?
0 (Since one of the numbers is 0, the product of all numbers will be 0).
100
What two numbers give the same result, whether added or multiplied?
The numbers are 2 and 2. Because 2 + 2 = 4 and 2 × 2 = 4.
100
What is the next number in this sequence: 2, 3, 5, 7, 11, …?
13 (the sequence consists of prime numbers).
100
If a number is increased by 12, the result is 56. What is the number?
44
100
What can you put between a 6 and a 7 to make the result greater than a 6 but less than a 7?
The answer is a decimal. 6.7 is greater than 6 but less than 7.
200
What is the largest number you can write using only two digits – just the number 8 and one other digit of your choice?
98
200
A number is increased by 2 and then multiplied by 3. The result is 24. What is the original number?
6 (First, divide 24 by 3 to get 8, then subtract 2).
200
If you divide 30 by half and add 10, what do you get?
70 (because 30 divided by half is 60, and 60 + 10 = 70).
200
What two whole, positive numbers have a one-digit answer when multiplied and a two-digit answer when added?
1 and 9 (because 1 × 9 = 9 and 1 + 9 = 10).
200
If you have a pizza cut into 4 equal pieces and you eat 1 piece, how much of the pizza is left?
The pizza is divided into 4 equal parts, so each part is 1/4 of the pizza. If you eat 1 piece, you eat 1/4, and 3/4 of the pizza is left. The solution is found by understanding that 1 – 1/4 = 3/4.
300
If you write all the numbers from 300 to 400, how many times do you write the digit 3?
120 times (100 times in the hundreds place and 20 times in the tens and units places).
300
What is the maximum number of times you can subtract five from 25?
The answer is once. This is because when you subtract five from 25 it becomes 20. So, from here on, you are no longer subtracting from 25.
300
I am a two-digit number. My tens digit is double my ones digit, and the sum of my digits is 9. What number am I?
63 (6 + 3 = 9, and 6 is double of 3).
300
Mrs. Howell died at a very old age. But she only had 26 birthdays. How is this possible?
The answer is that she was born on February 29th in a leap year. This only happens every four years.
300
A grandfather, two fathers, and two sons went to the movie theater together, and everyone bought one movie ticket each. How many tickets did they buy in total?
3 tickets (since the grandfather is also a father and the father is also a son).
400
Solve this pattern equation. If:
2+2 = 44
3+3 = 96
4+4 = 168
5+5 = 2510
Then what is 6+6?
The answer is 3612. The answer is the number multiplied by itself (6×6=36) combined with the number added to itself (6+6=12).
400
Work out the answer that should replace the ? in this diagram.
The answer is 17 because each circle is the total of the two digits in the opposite quadrants
400
A number is increased by 1 and then multiplied by 2. The result is 10. What is the original number?
Work backwards: divide 10 by 2 to get 5, then subtract 1. So, the original number is 4.
400
Jake bought a pair of shoes and a shirt, which cost a total of $150. The shoes cost $100 more than the shirt. How much was each item?
The shoes cost $125, the shirt $25.
400
A boy is 2 years old. His brother is half as old as him. When the first boy is 100, how old will his brother be?
99
500
I am a three-digit number. My first digit is three less than my second digit. My second digit is four times greater than my third digit. What number am I?
There are two possible answers: 141 and 582. For 141, the number 1 is 3 less than 4, and the number 4 is four times greater than the number 1. For 582, 5 is 4 less than 8 and 8 is four times greater than 2.
500
A snail climbs up 3 feet during the day and slips back 2 feet at night. How long will the snail take to get out of a 12-foot well?
10 days
500
Aidan works at an aquarium. When he tries to put each turtle into a separate tank, he has one turtle left. When he tries to put two turtles into each tank, he has one tank empty. How many turtles and tanks does Aidan have?
The answer is four turtles and three tanks. One turtle in each tank would result in an additional turtle with no tank. Two turtles in each tank would leave the third tank spare.
500
What is the smallest whole number that, when written out, uses all the vowels (A, E, I, O, U) exactly once?
Five thousand.
500
Using only addition, how do you add eight 8s and get 1,000?
888 + 88 + 8 + 8 + 8 = 1,000.