TIMO 2021 Grade 4 Preliminary Set 3

Amy gets 58 marks in Chinese exam and she gets 85 in English exam. If she has an average of 74 marks on Chinese, English and Mathematics exam, how many marks does she get in Mathematics exam?

Now, the sum of father’s and mother’s ages is 93. If the age of father 3 years ago was the same as the age of mother 8 years later, how old is father now?

A stationery store had a batch of pencils. One half of the batch were sold on the first day. One half of the remaining part were sold on the second day. Finally, 20 pencils are left. How many pencil(s) did the stationery store have originally?

28th March is Thursday. Which day of the week is 23rd August in the same year?

There are a total of 28 chickens and rabbits in a farm. The animals have a total of 72 legs. How many chickens are there?

Find the value of $6+7+8$+...+$43+44$.

Find the value of 111×111.

Find the value of 24×$17+17$×28×2.

Find the value of 132÷$6+234$÷$6+384$÷6.

Find the value of $49+46+43$+...+$4+1$.

If 9-digit number 20180104A is divisible by 9, find the value of A.

Find the unit digit of A if $A=2$×2×2×...×2×3×3×3×...×3×5. The first group has 20 factors 2 and the second has 18 factors 3.

Given that a⊕b=a×b+2×b, calculate 7⊕9.

The sum of positive integers A and B is 540. A is 4 times of B. Find A.

How many 2-digit numbers are divisible by both 3 and 5?

How many rectangles are there in the figure below?

The area of a rectangle is 72cm2. If sides of the rectangle are integers, how many different value(s) of perimeter of rectangle is/are there?

The rectangle below is cut into 7 squares. If the perimeter of the rectangle is 160cm, find the area of the larger square.

The perimeter of an equilateral triangle is 90cm. Now Andy cut the triangle to 4 identical equilateral triangles. What is the sum of perimeter of the small triangles?

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