SASMO 2015 Primary 4 (Grade 4) Contest

The diagram shows a figure containing 13 identical squares. Its area is 117 cm². Find its perimeter.

$2^5$ means 2 multiplied by itself 5 times, so $2^5=2\times2\times2\times2\times2=32$. What is $5^4$ equal to?

A cake shop has 4 types of cakes: chocolate, banana, strawberry and Oreo. Pete wants to buy 2 cakes. How many different choices does he have?

What number is obtained by subtracting the number just after 1 ten 4 ones from the number just before 1 ten 6 ones?

Find the missing term in the sequence $1,1,2,6,\_\_,120$.

In a basketball tournament, 8 teams play against each other twice. How many games are there altogether?

An operator $\circledR$ acts on two numbers as follows: $3\circledR2=15$, $5\circledR3=28$, $6\circledR1=57$, and $9\circledR4=513$. What is $7\circledR5$?

Bill wants to cut square cards of side 3 cm from a rectangular sheet measuring 27 cm by 20 cm. What is the greatest number of cards that can be cut from the sheet?

A bag contains some sweets that can be divided equally among 2, 3 or 4 children with no remainder. What is the smallest possible number of sweets?

If the four-digit number $12N4$ is divisible by 4, how many possible values are there for $N$?

A whole number multiplied by itself gives a special type of number called a perfect square. For example, $9=3\times3$ and $16=4\times4$. What is the smallest number that can be multiplied by 45 to give a perfect square?

Two numbers $x$ and $y$ satisfy $2\le x\le7$ and $3\le y\le5$. Find the greatest possible value of $x-y$.

Find the day of the week that is 60 days after a Sunday.

Charles and Denise are brother and sister. Charles has twice as many brothers as sisters, while Denise has 5 times as many brothers as sisters. How many boys and girls are in their family?

A circle and a triangle are drawn on a flat surface. What is the greatest number of regions that can be formed?

What are the dimensions of a rectangle made from 91 one-centimetre square tiles if all sides of the rectangle are longer than 1 cm?

In the alphametic below, all different letters stand for different digits. Find the four-digit product $RATS$.

$$STAR\times9=RATS$$

Elsa thinks of 5 different positive whole numbers. None is 0, and no one number is a multiple of another. What is the least possible sum of these 5 numbers?

The diagram shows a rectangle divided into 3 smaller rectangles and a square. If the perimeter of the unshaded rectangle is 24 cm and the area of the square is 16 cm², find the total area of the shaded rectangles.

Aileen drives 1000 km during a trip. She rotates the tyres (four tyres on the car and one spare) so that each tyre is used for the same distance by the end of the trip. How many kilometres does each tyre cover?