Question bank HKIMO 2026

John has two sons and three daughters. John’s youngest son’s name is Peter. How many elder brother(s) does Peter have?

How many marbles do we need to put into the position with “?” to make it balance?

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

What is the letter in the blank given that the pattern is related to number names?

O, T, T, F, F, S, __, E, N, T, E, T, T, F, …

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

Editorial counting convention: the source changes star symbols to spiral symbols in the later groups. Count each marked cell as one pattern object, keeping both original symbol types.

Find the value of 1 + 2 + 3 + 4 + 5 + 4 + 3 + 2 + 1.

Find the value of 81 + 19 + 72.

What is the number in the blank so that the equation below is correct?

5 + ____ = 12

Find the value of 1 − 2 + 3 − 4 + 5 − 6 + 7 − 8 + 9 − 10 + 11.

If A is an 1-digit number, what is the value of A if the equation is correct?

Hermione has 7 oranges and Harry has 3 oranges. How many oranges does Hermione have to give Harry to make them have the same number of oranges?

Fill the lines with ‘+’ and ‘−’ to make the equation below correct. (Write down the complete equation in the answer sheet.)

1 __ 2 __ 3 __ 4 = 2

12 balloons are distributed evenly to a group of children. If there are fewer than 10 children in a group, at most how many children at are there?

How many 2-digit numbers are there?

According to the following pattern, find the value of the next term.

12, 10, 8, 6, 4, 2, __

How many squares are there in the figure below?

At least how many cubes are there in the figure below?

How many triangles are there in the figure below?

Each student A, B, C, D, E cut a square paper into smaller pieces as follow. Which student has a different number of pieces?

According to the pattern shown below, what is the figure in the space provided?