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TIMO 2021 Grade 4 Heat Set 1

Question 1

This month is March. Which month will it be 184 months later?

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Question 2

According to the pattern shown below, how many triangle(s) is / are there from the 1st to the 300th symbol counting from the left? ○ ○ △ ○ □ △ □ ○ ○ △ ○ □ △ □…

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Question 3

There are a total of 36 chickens and rabbits in a farm. The animals have a total of 96 legs. How many rabbit(s) is / are there?

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Question 4

Betty now has a few coins. If the number of coins minuses 13, then is divided by 10, adds 3 and is multiplied by 7. The result will be 91. How many coins does Betty have?

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Question 5

According to the pattern shown below, how many # is / are there in the 9th group?

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Question 6

Find the value of 26÷$7+37$÷$7-10$÷$7+3$÷7.

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Question 7

Find the value of 81×$6+9$×$31-3$×26.

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Question 8

Find the value of 2020÷18×15×24÷100.

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Question 9

Find the value of $34+41+48+55+62+69+76+83+90+97$.

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Question 10

Using the method of S=2S−S, find the value of $7+14+28$+...+896.

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Question 11

The sum of 9 consecutive odd numbers is 1035. Find the value of the largest number.

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Question 12

Define the operation symbol a⊗b=(a×3+b−1)×(a−b), find the value of (6⊗4)⊗40.

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Question 13

Find the unit digit of A if $A=3$×8×13×18×23×28×...×2023×2028.

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Question 14

If a 10-digit number 2021A2723A is divisible by 6, find the value of A.

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Question 15

Mr. Wong gives some pencils to students. If everyone gets 9 pencils, 5 pencils will be left. If everyone gets 8 pencils, 19 pencils will be left. How many pencil(s) does Mr Wong have?

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Question 16

The figure below is formed by 4 identical right-angled triangles. The areas of the big and the small squares are 64 and 36 respectively. Find the perimeter of the triangle.

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Question 17

The area of a rectangle is 162. If the sides of the rectangle are integers, find the maximum of the perimeter of the rectangle.

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Question 18

At least how many squares can be seen if viewing the figure below from the right?

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Question 19

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

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Question 20

How many rectangle(s) with “*” is / are there in the figure below?

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