TIMO 2019 Grade 5 Heat Set 3

What is the value of the number to represent “?” in the sequence 1, 4, 9, 16, 25, 36, ?, 64, ...?

Today is 13th October. In the same year, World International Mathematical Olympiad Final will be held on 29th December. How many day(s) is / are remaining?

It requires 16 minutes to cut a piece of wood into 5 sections. If the time required to cut into each section is the same, how many minute(s) is / are required to cut a piece of wood into 13 sections?

Andy’s father’s age this year minuses 7, is divided by 8, adds 4 and multiplies 8. The result will be 72 years old. How old is Andy’s father this year?

It requires 10 people to take 12 days to complete a task. How many day(s) is / are needed for 15 people to finish the same task?

Find the value of x if 3x−$4=11$.

Find the value of 2018²−1013².

Find the value of $3+6+9$+...+$45+48+51$.

Find the value of $1+4+9+16$+...+$121+144+169$.

Find the value of 111×$235+333$×$103+222$×228.

If a 9-digit number 20181014A is divisible by 6, find A.

Find the unit digit of A if $A=1$×2×3×...×8×9.

Define a⊗b=(b−a)². Find the value of (16⊗13)⊗8.

The product of two numbers A and B is 576. A is 4 times of B. Find the value of B.

How many 3-digit numbers that can be divisible by 6 or 8 is / are there?

It is known that the lengths of shorter sides for a right-angled triangle are 20cm and 21cm respectively. Find the length of the longest side.

A cube with side length 6cm is divided into cubes with side length 2cm. By how much does the surface area increase? (Unit in cm2).

P is a point in parallelogram ABCD. Given that area of triangle APD is 39cm², area of triangle BCP equals 37% of parallelogram ABCD. What is the area of ABCD in cm²?

The figure below is formed by two squares. Their side lengths are 12cm and 8cm respectively. Find the area of the shaded region. (Unit in cm ).

How many right-angled triangle(s) is / are there in the figure below?