The problems in this collection have been adapted from problems that have been set in South East Asian Mathematics Competitions.

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?










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


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



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?



Number of arms
What is the probability that the next person you meet has an above average number of arms?



Washing elephants
How long will it take Mary and Nigel to wash an elephant if they work together?




Committees



Black and gold storeys


Swapping sweets











Flipping coins






Semicircle distance


Rotation and area
Point A is rotated to point B. Can you find the area of the triangle that these points make with the origin?

Square in a circle in a square


Climbing ropes
Given how much this 50 m rope weighs, can you find how much a 100 m rope weighs, if the thickness is different?



Cones and spheres


Growing triangle



Dolly dolphin
Can you find Dolly Dolphin's average speed as she swims with and against the current?


