The problems in this collection have been adapted from problems that have been set in South East Asian Mathematics Competitions.
Overlapping beer mats
Identical digit multiplication
Divisible digits
Multiplication cube
The net shown is folded up to form a cube. What is the largest possible vertex product?
2014 even numbers
Sum and differences
Three numbers add up to 100. The difference between the larger two is 12 and the difference between the smaller two is 2. What are the numbers?
Reverse ages
Draining a pool
The water is being drained from a pool. After how long will the depth of the pool be 144 cm?
Adding and multiplying
Bouncing ball
Split clock face
Strange dice
If two of these unusually numbered dice are thrown, how many different sums are possible?
Dividing a square
Multiplication mistake
Missing 9s
Red card blue card
Roses and carnations
How many different bunches of flowers can this class buy for their teacher?
Adding in pairs
These are the results when 3 numbers were added in pairs. What were the numbers?
The elephant diet
Use the relationship between the elephant and the rabbit to find out how many carrots the rabbit eats in a day
Lattice points on a line
How many lattice points are there in the first quadrant that lie on the line 3x + 4y = 59 ?
Average temperature
The average temperature of six cities is 5$^\circ$C. What is the average temperature when two cities are added?
Between a sixth and a twelfth
The space on a number line between a sixth and a twelfth is split into 3 equal parts. Find the number indicated.
Palindromic milometer
Washing elephants
How long will it take Mary and Nigel to wash an elephant if they work together?
Committees
Black and gold storeys
Number of arms
What is the probability that the next person you meet has an above average number of arms?
Flipping coins
Swapping sweets
Snapped palm tree
Hexagon perimeter
XOXOXO
6 tiles are placed in a row. What is the probability that no two adjacent tiles have the same letter on them?
Black and white socks
Odd dice
These strange dice are rolled. What is the probability that the sum obtained is an odd number?