TIMO 2021 Grade 4 Preliminary Set 4

Alice has 51 marks and Peter has 61 marks in Mathematics exam. If the average mark of Alice, Peter and Mary is 58, what is Mary’s exam marks?

The sum of Alice’s and Peter’s ages is 47. If the age of Alice 2 years ago was the half of the age of Peter 6 years later, how old is Alice now?

A book store had a box of books. One half of the box were sold on the first day. Two thirds of the remaining part were sold on the second day. Finally, 8 books are left. How many books were in the box originally?

15th May is Friday. Which day of the week is 1st April in the same year?

There are a total of 36 chickens and rabbits in a farm. The animals have a total of 80 legs. How many chicken(s) is / are there?

Find the value of $33+34+35+36$+...+$66+67$.

Find the value of 111×11×101.

Find the value of 17×$62+19$×34.

Find the value of 1000÷$2+1000$÷$10+1000$÷100.

Find the value of $2+4+6+8+10$+...+$28+30$.

If a 9-digit number 20190513A is divisible by 12, find the value of A.

Find the unit digit of A given that $A=2$×2×...×2×3×3×...×3, with 50 factors 2 and 50 factors 3.

Given that a⊗b=(b−a)×(a+2), calculate 10⊗15.

The sum of A and B is 936. A is 8 times of B. Find B.

How many 2-digit number(s) either divisible by 5 or divisible by 2 is / are there?

How many rectangles are there in the figure below?

The perimeter of a rectangle is 36. If sides of the rectangle are integers, find the minimum value of the area of the rectangle.

The square below is cut into 5 squares and 1 rectangle. If the perimeter of the original square is 120cm, find the area of the rectangle.

The perimeter of a square is 40cm. Now Alice combines 36 such squares to a big square. What is the perimeter of the big square?

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