TIMO 2020 Grade 5 Heat Set 2

Andy’s father’s age this year minuses 2, is divided by 4, adds 7 and is multiplied by 12. The result will be 252 years old. How old is Andy’s father this year?

There are a total of 30 chickens and rabbits in a farm. The animals have a total of 74 legs. How many rabbit(s) is / are there?

There are 16 blue balls, 28 red balls and 30 green balls in a bag. At least how many balls should be picked up to ensure there are 5 balls for each colour?

It requires 8 people to take 21 days to complete a task. How many day(s) is / are needed for 12 people to finish the same task?

According to the pattern shown below, how many ※ is / are there in the 10th group?

Find the value of x if (3x−8)/$7=7$.

Find the value of $16+20+24$+...+$64+68$.

Find the value of 13×$81+27$×$12-9$×123.

Find the value of 1/(7×8)+1/(8×9)+...+1/(26×27)+1/(27×28).

Find the value of (5/$3+5$/$6+5$/$9+5$/12)÷(8/$6+8$/$12+8$/$18+8$/24).

If a 9-digit number 20204621A is divisible by 11, find A.

Define a⊗b=(a+b)(a−b)/[(a−1)b], with a≠1 and b≠0. Find 19⊗(6⊗4).

How many 3-digit numbers that can be divisible by 11 or 19 is / are there?

The sum of two positive numbers A and B is 198. Find the minimum value of the product of A and B.

Find the last 2 digits of 6×16×26×36×...×216.

How many rectangle(s) is / are there in the figure below?

How many side(s) does a regular polygon which has 36° exterior angle have?

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

18 small cubes with side length 1cm are combined. According to the pattern shown below, find the surface area in cm2.

A square is formed by 162 rectangles that are 1cm×2cm. Find the decrease in perimeter in cm.