HKIMO 2019 Grade 4 National Final (Heat) Set 02

Andy has 68 marks and John has 72 marks in a Mathematics exam. If the average mark of Andy, John and Mary is 51, what is Mary’s mark?

If 13 June 2020 is Saturday, which day of the week is 23 March 2020?

A tree grows 1 meter every year, but its height is cut in half every 15 years. It is now 7 meters tall just after cutting. How tall will it be 55 years later?

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

There are 48 chickens and rabbits in a farm, with 112 legs altogether. How many chickens are there?

Find the value of $13\times18+24\times11+11\times2+13\times10$.

Find the value of $66\div17+123\div51-10\div34$.

Find the value of $\dfrac{1}{2+\dfrac{3}{6+\frac14}}$.

Find the value of $5+9+13+17+21+\cdots+69+73+77$.

A, B and C represent different one-digit numbers. Find $A+B+C$ if the displayed multiplication is correct.

How many positive factors does 4268 have?

The 9-digit number $\overline{2020643A2}$ is divisible by 12. Find A.

Define $a\otimes b=(a+b+1)\times(2\times b-a)$. Find $2\otimes(4\otimes3)$.

Positive integers A and B have sum 648. A is 8 times B. Find A.

How many 3-digit numbers are divisible by 6 or by 11?

How many rectangles contain the asterisk in the figure below?

How many rectangles are there in the figure below?

A rectangle has perimeter 68 cm and integer side lengths. Find its minimum area in square centimeters.

At least how many unit squares can be seen when viewing the figure below from the right?

A prism has 120 vertices. Find the difference between its number of edges and its number of faces.