Practice Questions
Browse and practice real questions from previous scholarship exams. Use filters to narrow down by year, subject, or exam.
One year in the nineteenth century, the mathematician De Morgan remarked, 'my age now is the square root of this year'. When was De Morgan born?
What is the remainder on dividing the sum 2 + 2 squared + 2 cubed + ... + 2 to the power 10 by 10?
Between 1 and 100, how many numbers are there with exactly three factors?
On dividing each of 12 and 23 by a number greater than 1, we get the same remainder. What is the remainder?
The picture shows a stick just fitting into a rectangular box with dimensions 2 cm, 3 cm and 6 cm (the stick runs along the space diagonal of the box). What is the length of the stick?