In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?
What is the largest number which, when divided into these five numbers in turn, leaves the same remainder each time?
Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?
Can you select the missing digit(s) to find the largest multiple?
Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.
Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?
Two trees 20 metres and 30 metres long, lean across a passageway between two vertical walls. They cross at a point 8 metres above the ground. What is the distance between the foot of the trees?
Can you find the sum of the squared sine values?
Can you solve the system of equations to find the values of x, y and z?
We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?
