HKIMO 2026 Grade 5 National Preliminary Set 01

What is the value of the number to represent “?” in the following sequence?

$2,4,7,11,16,22,?,37,\ldots$

Today is 12th September, Sunday. Which day of the week will it be on 26th March of the same year?

It requires 20 minutes to cut a piece of wood into 5 sections. If the time required to cut into each section is the same, how many minutes are required to cut into 20 sections?

According to the pattern shown below, how many ☼ are there in the 6th group?

Elizabeth’s grandfather’s age this year adds 8, is divided by 3, minuses 2 and multiplied by 5. The result will be 140 years old. How old is Elizabeth’s grandfather this year?

Find the value of $x$ given that $5\times x+3=108$.

Find the value of $160\div1+160\div5-160\div16+160\div32-160\div2$.

Find the value of $5+8+11+14+\cdots+155$.

Find the value of $46\times23+92\times20+37\times46$.

Find the value of $\frac1{1\times2}+\frac1{2\times3}+\frac1{3\times4}+\cdots+\frac1{99\times100}$.

Define the operation $a\oplus b=(a+b)\times(a-b)$. Find the value of $25\oplus(5\oplus2)$.

The sum of $A$ and $B$ is 91. The value of $B$ is six times the value of $A$. Find the value of $B$.

If the 9-digit number $\overline{20181013A}$ is divisible by 18, find the value of digit $A$.

What is the largest 3-digit number that is divisible by both 3 and 7?

Ms. Linh gives some apples to her students. If everyone gets 3 apples, 2 apples will be left. If everyone gets 2 apples, 23 apples will be left. How many apples does Ms. Linh have?

How many edges does a cube have?

How many rectangles are there in the figure below?

How many rectangles containing “*” are there in the figure below?

The perimeter of a rectangle is 128. The length is 3 times the width. Find its area.

Find the perimeter of the figure below.