Question bank HKIMO 2020

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

P, Q, O, S, N, U, M, __, L

According to the pattern shown below, what is the number in the blank?

8, 17, 26, 35, 44, 53, __

14 years ago, John was 7 years old. Mary is 9 years younger than John. How old is Mary now?

34 children form a line. There are 20 children behind Eric. How many child(ren) is / are in front of him?

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

Find the value of 37 + 21 + 54 + 29 + 63 + 46.

Find the value of 18 − 37 + 53 − 22.

Find the value of 8 + 9 − 7 + 8 + 9 − 7 + 8 + 9 − 7 + 8 + 9 − 7 + 8 + 9 − 7.

What is the number that should be filled in the blank if the equation below is correct?

19 − ____ = 7

If A, B represent different 1-digit numbers, what is the value of B if the equation is correct?

By observing the numbers, which odd number is the greatest?

38, 29, 93, 94, 81, 62, 76

The numbers below follow the arithmetic sequence, what is the 9th number?

87, 84, 81, 79, 76, …

Source warning: the printed terms do not form an arithmetic sequence. The original numbers are retained; no unique automatic answer is certified for this inconsistent statement.

Alice has 30 red pockets and Peter has 10 red pockets. How many red pocket(s) does Alice have to give Peter to make Peter have 6 more red pockets than Alice?

Eric has 88 books and Peter has 55 books. The total number of books of John, Eric and Peter is an odd number. Determine the number of John’s books is odd or even.

Determine the result of 1 + 2 + 5 + 7 + 8 + 9 + 10 + 11 + 13 + 14 + 16 + 17 + 19 + 21 is odd or even.

How many square(s) is / are there in the figure below?

It is known that figure 1 is formed by 7 cubes. Mary combines some blocks as figure 1 to form figure 2. How many cube(s) is / are there in figure 2?

How many line segment(s) is / are there in the figure below?

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

How many interior angle(s) is / are there in the polygon below?