On the Farm
Jake keeps goats and ducks
He has 20 of them altogether
His animals have 54 feet between them
How many goats does Jake have?
Rounders
A school’s rounders team has played five
matches and won four of them
The team’s highest score in a match was 5
Their lowest score was 2
Their median score was 4
What could the team’s five scores be?
What Nationality?
Amy, Bob & Cathy are three friends
One of them is English, one is Scottish and
one is Welsh
They asked their teacher to guess their
nationalities.
The teacher said: “Amy is English. Bob is not
English. Cathy is not Welsh.”
Only one of the teacher’s statements is
correct.
What nationalities are Amy, Bob & Cathy?
Ice Creams
Ross, Sam & Tim are brothers
Their corner shop sells three kinds of ice
cream - strawberry, vanilla and banana
Each brother likes only two of the ice creams
Each kind of ice cream is liked by only two of
the brothers
Sam said “Ross likes strawberry and I don’t
like banana”
Which ice creams does Tim like?
1 of 2
Badminton Game
Amy, Beth, Claudia & Donna like to play
badminton together but cannot all be free to
play on the same day.
Amy is unable to play on Tuesdays,
Wednesdays & Saturdays. Beth is free to
play on Mondays, Wednesdays & Thursdays.
Claudia has to stay home on Mondays &
Thursdays. Donna can play on Mondays,
Tuesdays & Fridays. None of them plays on
Sundays.
2 of 2
Badminton Game
Can each pair find a day on which to play?
Are there any days on which no games can
be played?
Are there any days when more than one
game can be played?
What if they can only get one court on any
one day?
How many games can they fit into a week?
Square Areas
The midpoints of the sides of
a square are joined to make
a smaller square in a
continuing pattern.
The area of the smallest
white square is 3cm2
What is the area of the
largest white square?
Dotty Squares
The diagram shows a 4 by
4 array of dots
How many different
squares can you draw on
the array in such a way
that each corner of each
square lies on the dots?
Dice
Each of these shapes can be folded to make a
cube
For each shape, number the squares so that
opposite faces of the cube add up to 7