Jun is ordering a large pizza for four of his friends. Each of his
friends has three favourite pizza toppings as shown below.
Friend
Favourite toppings
Eslam
Meral
Salma
Wout
Jun wants to choose the three most popular toppings for the pizza he
is ordering. (A topping is more popular than another topping if it is
the favourite of more friends than the other topping.)
Question
Which of the following pizzas should Jun choose?
Nature Hike
Story
Beaver Alia hiked along a path from her home to the middle of the
forest, enjoying nature along the way.
She first passed rocks . Then she passed an apple tree , followed by a bird’s nest .
Starting at Alia in the middle of the forest and moving outward, the
objects on each path, in order, are as follows:
Path A has two trees with no fruit or nest, then an apple tree,
then rocks.
Path B has a tree with a nest, then an apple tree, then
rocks.
Path C has rocks, then a tree with a nest, then an apple
tree.
Path D has a tree with a nest, then an apple tree, then a tree
with no fruit or nest.
Question
Which of the four paths leads back to Alia’s home?
Path A
Path B
Path C
Path D
Candies
Story
Gabija offers to share the nine candies shown below with her
friends.
They take some candy as follows:
First, Benas takes one candy of each type.
Then, Marija takes two green dotted candies .
Finally, Andrius takes one round striped candy .
Question
After this, how many candies of each type remain?
two , one , zero
one , one , zero
two , two , zero
one , one , one
Gift Box
Story
When folded, a gift box is a pyramid with a square base as shown.
The sides and bottom of the box are different colours and patterns,
but only some of these are shown.
Question
Which of the following could be the outside of the gift box when it
is unfolded?
Part B
Map It Out
Story
Four animals travelled across a plain. The following map shows their
routes with a path from where each animal started to where they
finished. However, the middle section of the map is missing.
A rectangular map with a missing vertical strip in the middle of the
map. The left and right ends of the map both show four animals arranged
into positions in a vertical column: 1st, 2nd, 3rd, 4th. The map shows
the sections of the paths that lie to the left and to the right of the
missing middle section.
The left section of the giraffe’s path starts in the 1st position
and ends in the 2nd position. The right section starts in the 3rd
position and ends in the 1st position.
The left section of the hippo’s path starts in the 2nd position
and ends in the 3rd position. The right section starts in the 1st
position and ends in the 2nd position.
The left section of the lion’s path starts in the 3rd position
and ends in the 4th position. The right section starts in the 4th
position and ends in the 3rd position.
The left section of the elephant’s path starts in the 4th
position and ends in the 1st position. The right section starts in the
2nd position and ends in the 4th position.
Question
Which of these pieces could be the missing middle section of the
map?