TIMO 2018 Grade 4 Heat Set 4

What is the value of the number to represent “?” in the following sequence? 1, 1, 2, 4, 7, 13, 24, ?, 81, 149, …

According to the pattern shown below, how many circle(s) is / are there from the 1st to the 200th figure counting from the left? ○ △ □ ○ ○ △ △ □ □ ○ ○ ○ △ △ △ □ □ □…

A stationery store had a batch of ball pens. One half but 2 fewer pens were sold on the first day. One half of the remaining part but 3 fewer pens were sold on the second day. Finally, 11 ball pens are left. How many ball pen(s) did the stationery store have originally?

John wrote a 3-digit number on a piece of paper and asked Peter to guess it. Peter asked: “Is the number 723?” John replied: “One of the digits is correct. The position of that digit is also correct.” Peter asked again: “Is the number 745?” John replied: “One of the digits is correct. The position of that digit is wrong.” Peter asked again: “Is the number 842?” John said: “One of the digits is correct. The position of that digit is also correct.” Given that all the digits in that 3-digit number are all different, what is the number written by John?

There are a total of 40 tigers and cranes in a zoo. The animals have a total of 104 legs. How many tiger(s) is / are there?

Find the value of 2052÷$19+2052$÷$3-2052$÷9.

Find the value of $13131313+8080808$×$4+11111111$×5.

Find the value of $1+2+3$+...+$49+50+49$+...+$3+2+1$.

Find the value of 10×$10-9$×$9+8$×$8-7$×$7+6$×$6-5$×$5+4$×$4-3$×$3+2$×$2-1$×1.

Find the value of 12345654321÷12321.

If 9-digit number 20171221A is divisible by 9, find the value of A.

Find the unit digit of A if $A=5$×5×...×5×6×6×...×6 (2017 factors 5 and 2017 factors 6).

Define the operation symbol a⊗b=b×b−a×a, find the value of (121⊗131).

The product of positive numbers A and B is 392. A is 2 times of B. Find the value of A.

What is the greatest 3-digit number that can be divisible by 3 and 5?

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

Find the perimeter of the figure shown on the right in cm.

Find the area of the figure shown below in cm2.

A big square is formed by 36 small squares with side length 5 cm. What is the perimeter of the big square in centimeter?

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