This section introduces the idea of logic puzzles to help you think mathematically.
You have two clues:
Clue 1 : Toni's age is not in the 4times table.
Clue 2 : Millie's age can be divided exactly by the number of days in a week.
Follow the working below and think about the answers to each of the questions in blue.
When you have worked each answer out, click on the button marked
to see whether you were correct.
We can show the information about the sisters and their ages in a logic table: 

We mark this fact by placing a cross in line with Toni and 12 yrs. 
We mark this fact by placing a tick in line with Millie and 14 yrs. 
We mark these two extra facts on the diagram as shown: Millie is not 9 years old or 12 years old. Rana and Toni are not 14 yrs old. 
We mark a tick in line with Toni and 9 yrs. 
We mark a tick in line with Rana and 12 yrs. We can also mark a cross in the final box because we know that Rana is not 9 years old. 
Question 1
Jane, Bill and Kelly each have one pet. They all own different types of pet.

Use the logic table and the clues below to find out which pet each person owns.
Clue 1 : Kelly's pet does not have a beak. 
Question 2
Karen, John and Jenny each play one sport: badminton, tennis or football.

Use the logic table and the clues below to find out who plays which sport.
Clue 1 : John hits a ball with a racket. 
Question 3
Three children are asked to name their favourite subject out of Maths, P.E. and Art. They each give a different answer.
Question 4
The three children in a family are aged 8, 12 and 16.

Use the logic table and the clues below to find the age of each child.
Clue 1 : Alan is older than Charlie. 
Question 5
Amanda, Jo, Alex and Zarah each have different coloured cars.
One car is red, one blue, one white and the other is black.

Use the logic table and the clues below to find out which person has which car.
Clue 1 : Amanda's car is not red or white. 
Question 6
Bill, John, Fred and Jim are married to one of Mrs Brown, Mrs Green, Mrs Black and Mrs White.

Use the logic table and the clues below to decide who is married to who.
Clue 1 : Mrs. Brown's husband's name does not begin with J. 
Question 7
There are 4 children in a family aged 6, 8, 11 and 14 years old.

Use the logic table and the clues below to find the age of each child.
Clue 1 : Dipak is three years older than Ali. 
