John has written 6, 7 and 8 in three circles, as shown. He then writes 1, 2, 3, 4 and 5 in the remaining circles so that the sum along each side is 13. What is the sum of the numbers in the grey circles?
The numbers 1, 2, 3, 4, 5 and 6 are placed in the circles so that each side has the same sum. Some circles are filled. Which number belongs in the circle marked x?
Worker bees are building a honeycomb from hexagonal cells, as shown. On day 1 they build 1 cell; on day 2 they add 6 cells. If they continue in the same way, how many cells does the honeycomb have on day 4?
Hạnh’s mother promises two hair clips for each mark of 10 and one for each mark of 9. This month Hạnh earns three 10s and two 9s. She also wants headbands, so she asks to exchange two clips for one headband. What is the greatest number of headbands she can receive this month?
Peter flies from Lisbon to New York. He leaves Lisbon at 12:30 local time and arrives in New York at 15:40 local time. When it is 6:00 in New York, it is 11:00 in Lisbon. How long is the flight?
Edith has six shapes arranged as shown. She colours each shape yellow, white, purple, green, pink or red, so that:
– Yellow is between white and purple;
– Green is not used for a rectangle;
– Yellow is to the right of pink.
What colour is the rectangle marked “?”?
Pinocchio’s unusual nose becomes 2 cm shorter whenever he tells the truth and 6 cm longer whenever he lies. At first it is 9 cm long. He tells three lies and two truths. How long is his nose then?