Mathematics for the Millennium

Key Stage 3

Problem of the Day

As Maths Week has now ended, here are all the problems:

Problem 1: Winter Days

If there are 5 Mondays, 5 Tuesdays and 5 Wednesdays in January, on what day of the week will February 1st fall?

Problem 2: Golden Cubes

A handsome Prince left 17 golden cubes to his three sons. He left half to the eldest. One third to the second eldest and one ninth to the youngest. The cubes cannot be split but the brothers found a way to share the cubes out without owing anyone any cubes or wasting any. How can this be done? (Hint: Borrow)

Problem 3: Count the Legs

A bird has 2 legs, a cat has 4 legs an insect has six legs and a spider has 8 legs. There are 66 legs and 15 living things. What are they?

Problem 4: Vital Signs

By putting mathematical signs (+ − ÷ ×) between the digits, make these sums true:

4143 = 111
5953 = 222
4847 = 3333
6715 = 1000
37271 = 1000
1111 = 1989

Problem 5:

Fill in the last line to a definite rule:

2
1 2
1 1 1 2
3 1 1 2
1 3 2 1 1 2
1 1 1 3 1 2 2 1 1 2
3 1 1 3 1 1 2 2 2 1 1 2
? ? ? ? ? ? ? ? ? ? ? ? ? ? ?