TIMO 2017 Grade 4 Heat Set 5

There are 20 problems in a mathematics competition. The scores of each problem are given in the following ways: 5 marks will be given for a correct answer, 2 marks will be deducted for each incorrect or unanswered answer. How many questions does Amy answer correctly if her score is 58?

If today is Tuesday, which day of the week will it be 100 days later?

There are a total of 30 tigers and cranes in a zoo. The animals have a total of 90 legs. How many tigers are there?

John wrote a 3-digit number on a piece of paper and asked Peter to guess it. Peter asked: “Is the number 173?” John replied: “One of the digits is correct, the position of that digit is also correct.” Peter asked again: “Is the number 132?” John replied: “Two digits are correct, but the positions of those digits are both wrong.” Peter asked again: “Is the number 324?” John said: “All three digits are correct, but the digits are all in the wrong places.” What is the number written by John?

According to the pattern shown below, how many circles are there in the 25th group?

Find the value of $1366+3987-1166+13+495-126+876-445$.

Find the value of 22222×22222.

Find the value of $5+10+15+20$+...+$125+130$.

Find the value of 13×$27+26$×$11+39$×17.

Find the value of 360÷$10+360$÷$6+360$÷$3+360$÷1.

If a 5-digit number 81A76 is divisible by 9, find the value of A.

Find the unit digit of A if $A=3$×3×...×3×6×6×...×6 (100 factors 3 and 100 factors 6).

The difference of A and B is 144. A is 5 times of B. Find the value of B.

The sum of A and B is 168. A is larger than B by 6 times. Find the value of A.

What is the largest three-digit number that can be divisible by 6 and 8?

The figure below is formed by 3 squares with areas 16cm2, 36cm2 and 16cm2 respectively. Find the perimeter of the following figure in centimeter.

According to the pattern shown below, how many cubes are there in the 10th layer from the top given that the figure is solid and made of identical cubes?

The figure below is made of 16 equilateral triangles. If the perimeter of figure below is 36cm, what is the difference of the total perimeter between before combination and after combination?

The figure below is made of 2 squares. Find the area of the shaded region below in cm2?

How many rectangles are there in the figure below?