TIMO 2021 Grade 5 Preliminary Set 1

Refer to the number pattern below. Find the 5th term in the sequence. 1, 8, 27, 64, __, ...

Tomorrow is Friday. Which day of the week was it 84 days ago?

It requires 4 minutes to cut a piece of wood into 2 sections. If the time required to cut into each section is the same, how many minutes are required to cut a piece of wood into 3 sections?

100 students went on a school trip by coaches. At least how many coaches are required to carry all of the students, given that each coach can carry no more than 23 students?

According to the pattern below, find the most suitable figure for group 5 among 4 answers A, B, C and D.

Find the value of x, given that 5x+$7=122$.

Find the value of $0+3+6+9$+...+$57+60$.

Calculate 23×$18+39$×$23-7$×23.

Find the value of $2020-2000+1980-1960$+...+$60-40+20-0$.

Find the value of 1/(2×3)+1/(3×4)+1/(4×5)+...+1/(98×99)+1/(99×100).

If an 8-digit number 1112020A is divisible by 3 and 4, find the value of A.

Find the unit digit of 6×16×26×...×96×106.

The sum of A and B is 2020. The value of A is four times the value of B. Find the value of A.

Given that X and Y are two 3-digit odd numbers. What is the largest possible difference between X and Y?

How many 3-digit numbers that are divisible by both 3 and 4 are there?

How many right-angled triangles are there in the figure below?

A big cube is formed by 8 identical cubes with side length 10 cm. Find the side length of the big cube in cm?

Given a rectangle ABCD and a right-angled triangle EDC as the figure below. Find the length of line segment BC given that ED=6 cm, EC=8 cm, DC=10 cm.

The figure on the right is composed of identical cubes with side length 5 cm. If they paint all top faces of the solid, what is the value of the painted area in cm2?

A square tile has the following pattern. Given that the area of the shaded region is 20 cm2. Find the perimeter of the square tile in cm.