Probability Short Problems - Age 11-14


This is part of our collection of Short Problems.

You may also be interested in our longer problems on Probability - Stage 3.

Printable worksheets containing selections of these problems are available here

Would You Like a Jelly Baby?

Age 11 to 14 Short Challenge Level:

What is the smallest number of jelly babies Tom must take, to be certain that he gets at least one of each flavour?

Strange Dice

Age 11 to 14 Short Challenge Level:

If two of these unusually numbered dice are thrown, how many different sums are possible?

Satnav Dilemma

Age 11 to 14 Short Challenge Level:

How many routes are there in this diagram from S to T?

Half and Half

Age 11 to 14 Short Challenge Level:

Two of the four small triangles are to be painted black. In how many ways can this be done?

Birthday Party

Age 11 to 14 Short Challenge Level:

The 30 students in a class have 25 different birthdays between them. What is the largest number that can share any birthday?

Monkey Puzzle

Age 11 to 14 Short Challenge Level:

What is the probability that all three monkeys left the cafe wearing the wrong hats?

Clubs

Age 11 to 14 Short Challenge Level:

How many students are in the maths club and the science club?

Pieces of Eight

Age 11 to 14 Short Challenge Level:

Two of the triangles in the diagram are shaded black. What is the probability the resulting figure has at least one line of symmetry?

School Dinners

Age 11 to 14 Short Challenge Level:

Our school dinners offer the same choice each day, and each day I try a new option. How long will it be before I eat the same meal again?

Perfect Score

Age 11 to 14 Short Challenge Level:

Can you work out how many children answered all the questions correctly?

Almost Constant Digits

Age 11 to 14 Short Challenge Level:

How many 10-digit numbers containing only 1s, 2s and 3s can you write?

Rain

Age 11 to 14 Short Challenge Level:

How many dry days did Aisha have on her holiday?

Nine or Ten?

Age 11 to 14 Short Challenge Level:

Is a score of 9 more likely than a score of 10 when you roll three dice?

Fair's Fair

Age 11 to 14 Short Challenge Level:

Can you design a die which rolls 'fairly' against mine?

Counting Socks

Age 11 to 14 Short Challenge Level:

Can you work out the smallest number of socks Rachel needs to take out of the box to be guaranteed a pair?