TIMO 2021 Grade 5 Heat Set 1

This month is October. Which month will 2451 months later be?

There are a total of 56 chickens, ducks and rabbits in a farm. These animals have a total of 146 legs. If the number of rabbits has 10 more than ducks, find the difference between the number of chickens and rabbits.

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

It requires 12 people to take 34 days to complete a task. How many day(s) is / are needed for 8 people to finish the same task?

According to the pattern shown below, how many ＃ is / are there in the 8th group?

Find the value of 81×$81-19$×19.

Find the value of (17×18×$19-1615$)÷13.

Find the value of 3/(4×8)+3/(8×12)+...+3/(40×44)+3/(44×48).

Find the value of $4+12+36+108$+...+2916.

Find the value of (5/$2+5$/$4+5$/6)÷(1/$1+1$/$2+1$/$3+1$/4).

Define the operation symbol a⊗b=(a+1)(b−2)/(a×2+b×3); find (7⊗7)×(6⊗4).

If a 10-digit number 202A1777B7 is divisible by 99, find A.

The product of positive numbers A and B is 448. A is 7 times of B. Find A.

Find the unit digit of A if A is the product of 2021 copies of 2021 followed by 3×13×23×...×2023.

Mr. Lee gives some pencils to students. If everyone gets 17 pencils, 1 pencil will be left. If everyone gets 14 pencils, 28 pencils will be left. How many pencils does Mr. Lee have?

The following figure is formed by 4 identical cuboids and 1 cylinder. The length, width and height of the cuboid are 7, 5 and 12 respectively. If the surface area of the figure is 3000, what is the surface area of the cylinder?

The figure below is formed by 3 identical parallelograms ABCD, FGHI, FECJ. Their side lengths are 12 and 5 respectively. Find the perimeter of the shaded region KLMN.

According to the pattern shown below, how many cube(s) is / are there in the 8th generation?

A cube with side length 9 is divided into cubes with side length 3. By how much does the surface area increase?

How many rectangle(s) with “*” is / are there in the figure below?