3 out of 3
How many integers $n$, between $1$ and $100$ inclusive, have the property that $n^n$ is a square number?
1 out of 3
There are six more girls than boys in Miss Spelling's class of 24 pupils. What is the ratio of girls to boys in the class?
1 out of 3
A small ink cartridge has enough ink to print 600 pages. How many pages can be printed using a large ink cartridge?
2 out of 3
Given the ratios of junior to senior and senior to veteran members, can you work out what the smallest possible number of members in a swimming club is?
2 out of 3
Maria and Lucy spun a coin 30 times, and gave each other sweets depending on the outcome of the spin. How many times was tails spun?
2 out of 3
If $a \times b=2$, $b \times c=24$, $c \times a=3$ and $a$, $b$ and $c$ are positive, what is the value of $a+b+c$?
2 out of 3
In a supermarket, there are two lines of tightly packed trolleys. What is the length of one trolley?
1 out of 3
Weekly Problem 16 - 2007
Can you figure out how far the robot has travelled by the time it is first facing due East?
2 out of 3
A cube is rolled on a plane, landing on the squares in the order shown. Which two positions had the same face of the cube touching the surface?
1 out of 3
In the diagram, the small squares are all the same size. What fraction of the large square is shaded?
