Maths Olympiad Year 5

A bag contains some sweets that can be divided equally among 3, 4 or 6 children with no remainder. What is the smallest possible number of sweets in the bag?

• 6

• 12

• 18

• 24

The diagram shows some cubes of the same size stacked at a corner of the room. How many cubes are there altogether? (Note: the floor is horizontal and the two walls are vertical. There are no gaps or holes behind the visible cubes.)

• 12

• 15

• 18

• 20

A particular month has 5 Fridays. The first and the last day of the month are not Fridays. What day is the last day of the month?

• Monday

• Thursday

• Friday

• Saturday

A big cube is made up of 64 small cubes. All the faces of the big cube are then painted. How many of the small cubes have no painted face?

• 1

• 8

• 27

• 64

If the four- digit number 37N5 is divisible by 35, find N.

• 1

• 2

• 3

• 4

How many triangles can be seen in the picture?

• 9

• 10

• 11

• 12

In London 2012 USA won the most medals: 46 gold, 29 silver and 29 bronze. China was second

with 38 gold, 27 silver and 23 bronze. How many more medals did the USA win?

• 6

• 14

• 16

• 24

Vero’s mum prepares sandwiches with two slices of bread each. A package of bread has 24 slices.

How many sandwiches can she prepare with two and a half packages?

• 30

• 48

• 34

• 26

In a shop you can buy oranges in boxes of three different sizes: with 5 oranges, with 9 oranges

or with 10 oranges. Pedro wants to buy exactly 48 oranges. What is the least quantity of boxes he

can buy?

• 4

• 5

• 6

• 7

When Koko the Koala does not sleep, he eats 50 grams of leaves per hour. Yesterday, he

slept 20 hours. How many grams of leaves did he eat yesterday?

• 50

• 100

• 200

• 400