HKIMO 2026 Grade 4 National Preliminary Set 02

According to the pattern shown below, find the 365th figure counting from the left.

It was Sunday yesterday. Which day of the week will it be 123 days later from now?

Karla has 12 coins altogether, including 5-dollar coins and 1-dollar coins. Her money is worth 44 dollars in total. How many 1-dollar coins does Karla have?

According to the pattern below, find the next term in the sequence.

$2,2,6,14,26,42,\ldots$

There is a meeting with a lot of people in a room. In the first hour, 25 people left the room. In the second hour, half of the remaining people left the room. In the third hour, 37 people left the room so the room is empty. How many people were in the room initially?

Calculate $90\div1+90\div2+90\div3$.

Find the value of $3+6+9+\cdots+27+30$.

Calculate $20\times37+5\times20+20\times8$.

Find the value of $100-99+98-97+\cdots+4-3+2-1$.

Given that A and B are 2 different digits, find the value of B to get the correct operation below.

What is the greatest 4-digit number that can be divisible by 5?

Find the last digit of $4\times4\times4\times\cdots\times4$ (1234 factors of 4).

Define the operation $a\bullet b=(b+a)\times(2+b-a)$. Find the value of $7\bullet8$.

The sum of X and Y is 42. X is 6 times Y. Find the value of Y.

If the 4-digit number $\overline{233B}$ is divisible by 6, find the value of $B$.

How many rectangles containing the eye are there in the figure?

A square piece of paper with perimeter 100 cm is cut into 25 identical smaller squares. Find the perimeter of each small square.

At least how many small squares can be seen if viewing the figure below from the front?

The area of a rectangle is 50. If its side lengths are natural numbers, what is its minimum perimeter?

Each small square in the grid has side length 2 cm. Find the area of the shaded region in $\mathrm{cm}^2$.