List

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

Small tomato seedlings in yellow pots.
problem

Satnav Dilemma

Age
11 to 14
Challenge level

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

Small tomato seedlings in yellow pots.
problem

Birthday Party

Age
11 to 14
Challenge level

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

Small tomato seedlings in yellow pots.
problem

Would You Like a Jelly Baby?

Age
11 to 14
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?

Small tomato seedlings in yellow pots.
problem

Half and Half

Age
11 to 14
Challenge level

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

Small tomato seedlings in yellow pots.
problem

Strange Dice

Age
11 to 14
Challenge level

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

Small tomato seedlings in yellow pots.
problem

School Dinners

Age
11 to 14
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?

Small tomato seedlings in yellow pots.
problem

Monkey Puzzle

Age
11 to 14
Challenge level

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

Small tomato seedlings in yellow pots.
problem

Pieces of Eight

Age
11 to 14
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?

Small tomato seedlings in yellow pots.
problem

Clubs

Age
11 to 14
Challenge level

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

Small tomato seedlings in yellow pots.
problem

Nine or Ten?

Age
11 to 14
Challenge level

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

Small tomato seedlings in yellow pots.
problem

Almost Constant Digits

Age
11 to 14
Challenge level

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

Small tomato seedlings in yellow pots.
problem

Counting Socks

Age
11 to 14
Challenge level

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

Small tomato seedlings in yellow pots.
problem

Perfect Score

Age
11 to 14
Challenge level

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

Small tomato seedlings in yellow pots.
problem

Rain

Age
11 to 14
Challenge level

How many dry days did Aisha have on her holiday?

Small tomato seedlings in yellow pots.
problem

Fair's Fair

Age
11 to 14
Challenge level

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

Small tomato seedlings in pink pots.
problem

396

Age
14 to 16
Challenge level

The four digits 5, 6, 7 and 8 are put at random in the spaces of the number : 3 _ 1 _ 4 _ 0 _ 9 2 Calculate the probability that the answer will be a multiple of 396.