A1
A2
PROBLEM A
Try to find the number
7 is not a factor of the number
The sum of its digits is not 7
A3
A4
You are looking for a whole number less than
500
The number is odd
The difference between the largest and
smallest digits is two
A5
A6
There are fewer than 5 digits in the number
The second and third digits are different
The number has only two factors- the
number and itself
The number is a palindrome
A7
A8
The number is bigger than 100 and is not even
The number is prime
The number is less than twenty squared
B1
B2
PROBLEM B
You are to build a column of 6 cubes
The green cube is between the blue cube
and the orange cube
B3
B4
There are six different colours in the column
The blue cube is between the black cube and
the orange cube
B5
B6
The red cube is between the brown cube and
the orange cube
The orange and the brown cubes are not
between any cubes
B7
B8
The black cube is between the blue cube and
the red cube
The red cube is next to the top cube
C1
C2
PROBLEM C
How many children are taking their own
packed lunch?
Some children take their own packed lunch
C3
C4
30 children are going on a trip
The trip costs £3 if children take their own
packed lunch
C5
C6
The trip costs £5 including lunch
The 30 children pay a total of £110
C7
C8
The teacher travels free.
Some children pay £5
There are choices of packed lunch for no
extra cost
D1
D2
PROBLEM D
Make the figure with sticks
All the sticks are the same length and
unbroken. There are two sizes of triangle
D3
D4
All the triangles are regular but the pentagon
is not
There are 4 triangles altogether
D5
D6
None of the sticks is outside the pentagon
The sticks do not overlap. Every triangle
share sticks with two other triangles
D7
There are fewer than 12 sticks in the figure
E1
E2
PROBLEM E
How many cards does each child end up with?
Tom starts with 16 cards
E3
E4
There are four children collecting cards
Lucy has 16 cards to start with
E5
E6
Tom, Nadia, Lucy and Kiran started with 55
cards between them
Nadia and Tom start with the same number
of cards
E7
E8
Lucy gives a quarter of her cards to Kiran
Tom gives Nadia 12 of his cards