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TIMO 2020 Grade 4 Heat Set 2

Question 1

Today is Sunday. Which day of the week will 616 days be later?

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Question 2

There are a total of 20 chickens and rabbits in a farm. The animals have a total of 66 legs. How many chicken(s) is / are there?

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Question 3

It requires 22 minutes to cut a piece of wood into 12 sections. If the time required to cut into each section is the same, how many minute(s) is / are required to cut into 6 sections?

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Question 4

Chris’s grandfather’s age this year minuses 11, then is divided by 9, adds 5 and multiplied by 6. The result will be 66 years old. How old is Chris’s grandfather this year?

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Question 5

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

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Question 7

Find the value of 171÷$3+171$÷$9+171$÷19.

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Question 8

Find the value of 80×$12+160$×$11-18$×40.

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Question 9

Find the value of $101+111+121+131+141+151+161+171+181$.

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Question 10

Using the method of S=2S−S, find the value of $2+4+8$+...+128.

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Question 11

If 9-digit number 20206423A is divisible by 12, find the value of A.

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Question 12

Find the unit digit of A if $A=2$×2×...×2×4×4×...×4×6×6×...×6 (2019 factors 2, 2019 factors 4, and 2019 factors 6).

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Question 13

Define the operation symbol a⊗b=(a+b)×(a−b), find the value of (6⊗5)⊗9.

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Question 14

The sum of positive numbers A and B is 846. A is 8 times of B. Find the value of A.

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Question 16

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

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Question 17

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

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Question 18

The perimeter of a rectangle is 22cm. If sides of the rectangle are integers, find the maximum value of the area of the rectangle in cm2.

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Question 19

The square below is cut into 3 squares and 2 rectangles and AB=BD, BC=CD, DE=EF. If the perimeter of the original square is 64cm, find the area of the smallest square in cm2.

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Question 20

The perimeter of a square is 60cm. Now Amy combines 9 squares to form a new rectangle. Find the maximum value of the perimeter of the rectangle in centimeter.

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