HKIMO 2026 Grade 4 National Preliminary Set 04

According to the pattern shown below, find the 2022nd letter counting from the left.

22 February 2022 is Tuesday. Which day of the week is the last day of March 2022?

Jane has 5-dollar notes and 2-dollar notes. She has 10 notes altogether worth 32 dollars. How many 5-dollar notes does Jane have?

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

$1,1,3,7,13,21,31,\ldots$

Lucy finished reading a book in 3 days. On the first day, she read 23 pages. On the second day, she read half of the remaining pages. On the final day, she read 15 pages. How many pages are in Lucy’s book?

Calculate $72\div2+72\div3+72\div4$.

Find the value of $2+4+6+\cdots+18+20$.

Calculate $100\times9+100\times11+30\times100$.

Find the value of $50-49+48-47+\cdots+4-3+2-1$.

Given that X and Y are 2 different digits, find Y to get the correct operation below.

What is the smallest 4-digit number that is divisible by 3?

Find the last digit of $8\times8\times8\times\cdots\times8$ (2022 factors of 8).

Define the operation $a*b=(b-a)\times(2\times a+b)$. Find $4*5$.

The difference of A and B is 24. A is 7 times B. Find A.

If the 6-digit number $\overline{A4533B}$ is divisible by both 5 and 9, find the largest value of A.

How many rectangles in the figure contain the smiley face?

A square piece of paper with perimeter 36 cm is cut into 9 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 40. If its side lengths are natural numbers, what is its minimum perimeter?

Jenny draws and paints the letter M on grid paper as shown. Find the painted area in $\mathrm{cm}^2$, given that each grid cell has side length 2 cm.