An ant starts at a vertex of a cube and walks only along its edges. It cannot use any edge more than once. If each edge is 4 cm long, what is the greatest distance, in cm, it can walk before it cannot continue? Revisiting a vertex is allowed.
Mother found that one of her children had eaten the whole cake in the fridge. Their replies were:
- Austin: Carlos ate the cake.
- Benny: Austin ate the cake.
- Carlos: Benny is lying.
- Daniela: It was not Carlos who ate the cake.
- Ella: I did not eat the cake.
If only two children told the truth, who ate the cake?
The desks in a Primary 3 classroom are arranged in straight rows, with the same number in every row. Gregory sits in the fourth row from both the front and the back. He sits at the centre of his row, with 5 desks to his left. How many desks are in the classroom?
Four boys each prepared one gift for a party. In how many ways can the four gifts be distributed among the four boys so that nobody receives his own gift? Each boy receives exactly one gift; all four gifts are distinct.
The picture graph shows the numbers of pencils Amelia, Stacy, Sophia and Olivia have. They have 85 pencils altogether. How many more pencils does Sophia have than Stacy? Every bag symbol represents the same number of pencils.
Answer format: one whole number, without units. Leading zeros are optional; the printed answer sheet uses four digits.
Select 6 different numbers from 1 to 9 and place them in the six squares. What is the largest result you can get? Use ordinary division; a quotient need not be a whole number.
Answer format: one whole number, without units. Leading zeros are optional; the printed answer sheet uses four digits.
