SEAMC Published Shorts
Winding Vine
A vine is growing up a pole. Can you find its length?
Roots Near 9
For how many integers 𑛠is the difference between √𑛠and 9 is less than 1?
Clever Calculation
Find the shortcut to do this calculation quickly!
Similar Perimeter
What are the possible perimeters of the larger triangle?
Semicircle Distance
Can you find the shortest distance between the semicircles given the area between them?
Root Estimation
Which of these is the best approximation for this square root?
Powerful Expressions
Put these expressions in order, from smallest to largest.
Growing Triangle
If the base and height of a triangle are increased by different percentages, what happens to its area?
XOXOXO
6 tiles are placed in a row. What is the probability that no two adjacent tiles have the same letter on them?
Diagonal Area
A square has area 72 cm$^2$. Find the length of its diagonal.
Three Right Angles
Work your way through these right-angled triangles to find $x$.
Square in a Circle in a Square
What is the ratio of the areas of the squares in the diagram?
Strike a Chord
Can you work out the radius of a circle from some information about a chord?
Dolly Dolphin
Can you find Dolly Dolphin's average speed as she swims with and against the current?
Black and White Socks
There are 20 black socks and some white socks in a drawer. Can you work out how many of the socks are white?
Doubly Isosceles
Find the missing distance in this diagram with two isosceles triangles
Maximum Mean
What is the largest that the mean of these numbers could be?
Stolen Pension
How much money did the pensioner have before being robbed?
Triangular Slope
Can you find the gradients of the lines that form a triangle?
Petrol Stop
From the information given, can you work out how long Roberto drove for after putting petrol in his car?
A Third of the Area
The area of the small square is $\frac13$ of the area of the large square. What is $\frac xy$?
Dropouts
What percentage of students who graduate have never been to France?
Smartphone Screen
Can you find the length and width of the screen of this smartphone in inches?
Adding a Square to a Cube
If you take a number and add its square to its cube, how often will you get a perfect square?
Elephants and Geese
Yesterday, at Ulaanbaatar market, a white elephant cost the same amount as 99 wild geese. How many wild geese cost the same amount as a white elephant today?
Pay Attention
If some of the audience fell asleep for some of this talk, what was the average proportion of the talk that people heard?
Late for Work
What average speed should Ms Fanthorpe drive at to arrive at work on time?
Nested Square Roots
Can you find the value of this expression, which contains infinitely nested square roots?
Triangular Intersection
What is the largest number of intersection points that a triangle and a quadrilateral can have?
Changing Averages
Find the value of $m$ from these statements about a group of numbers
The Roller and the Triangle
How much of the inside of this triangular prism can Clare paint using a cylindrical roller?
Graph Triangles
Use the information about the triangles on this graph to find the coordinates of the point where they touch.
Two Trains
Two trains started simultaneously, each travelling towards the other. How long did each train need to complete the journey?
Folded Rectangle
Can you find the perimeter of the pentagon formed when this rectangle of paper is folded?
Overlapping Ribbons
Two ribbons are laid over each other so that they cross. Can you find the area of the overlap?
Boys and Girls
Can you find the total number of students in the school, given some information about ratios?
Inside a Parabola
A triangle of area 64 square units is drawn inside the parabola $y=k^2-x^2$. Find the value of $k$.
Power of 3
What power of 27 is needed to get the correct power of 3?
Third Side
What are the possible lengths for the third side of this right-angled triangle?
How Many Gorillas?
If the numbers in this news article have been estimated, then what is the largest number of gorillas that there could have been 10 years ago?
Square Overlap
The top square has been rotated so that the squares meet at a 60$^\text{o}$ angle. What is the area of the overlap?
Laps
On which of the hare's laps will she first pass the tortoise?
Four Circles
Can you find the radius of the larger circle in the diagram?