Past Problem Solving Lessons
Numbers
Words
Random
100
Decipher the following code using the A1Z26 cipher:
5 8 20 18 5 23 19 14 1
EHT REWSNA
100
If you write all the integers from 1 to 100, how many 7's will you write?
20
100
Which vowel is exactly halfway between J and T?
O
100
87
200
How many of the following pentominoes can be folded into an open cube?
7: F, L, N, T, W, X, and Y
200
Write down the next two numbers in the series:
1 10 3 9 5 8 7 7 9 6 ? ?
11 5
200
Which word becomes shorter when you add two letters to it?
Short
200
What happens once in a minute, twice in a moment, but never in a thousand years?
The letter 'm'
300
Find the value of each shape in the diagram:
Square = 1
Circle = 2
Heart = 3
300
Find three positive integers whose sum is equal to their product (i.e. adding the numbers together gives the same answer as multiplying them).
1, 2, and 3
300
Figure out what phrase is being represented by this image:
One in a million
300
14-9=5
400
Draw the following graph without repeating any edges or lifting your pen off the paper.
Must start at G and end at J, or the other way around.
E.g. G-C-D-A-B-E-F-J-N-M-I-H-L-K-G-H-D-E-I-J
400
Which number belongs inside the third triangle?
(3-2)\times12=12
400
Figure out what word is being represented by this image:
Thunderstorm
400
A man has 53 of the same socks but in different colours: 21 blue, 15 black and 17 red. He closes his eyes and pulls out the socks at random. How many socks must he take out to be 100% certain he has at least one pair of black socks?
38 + 2 = 40
500
The smallest class is 7B and they are playing basketball.
500
If two people can paint a room in 2 minutes, how many people will it take to paint 18 rooms in 6 minutes?
6 people
500
Make the longest word possible from the following letters:
H C P R A A T E U
PARACHUTE
500
How many four-sided figures are in this diagram?
25