HKIMO 2026 Grade 6 National Preliminary Set 03

According to the pattern below, how many stars are in the ninth group?

Today is Sunday, 17 October 2021. What day of the week will this date be one year later?

A rectangular garden is 14 m long and 9 m wide. Trees are planted along all four sides, 1 m apart, with a tree at each corner. How many trees are there?

Find the missing number: $1,4,5,9,14,?,37,60$.

Peter goes west 5 km, north 12 km, east 5 km, and finally south 4 km. How far is he from the starting position?

Find $23\div 2+23\div 3+23\div 6$.

Find $25\times 44\times 5$.

Find $10+11+12+\cdots+49+50$.

Find $(100+101+102+\cdots+199)\times(41+59+2-102)$.

Find $\frac 2{1\times 2}+\frac 2{2\times 3}+\frac 2{3\times 4}+\cdots+\frac 2{9\times 10}$.

The ten-digit number $\overline{511702338 A}$ is divisible by 12. Find $A$.

Find the units digit of $A=97\times 98\times 99\times\cdots\times 999$.

How many three-digit numbers are divisible by both 2 and 3?

The product of A and B is 256, and A is four times B. Find their sum.

How many natural numbers are greater than 46 and less than 146?

How many triangles are in the figure below?

Andy stacks identical cubes to form Figure 1. How many cubes does he use, given the top view in Figure 2?

Find the sum of the interior angles of the rectangle below.

A large cube is formed from eight identical cubes of side 2 cm. Find the side length of the large cube.

Four identical rectangles, each with perimeter 6 cm, and a square form the large rectangle below. Find the perimeter of the large rectangle.