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TIMO 2019 Grade 4 Heat Set 3

Question 1

What is the value of the number to represent “?” in the following sequence? 2, 3, 5, 9, 17, 33, ?, 129, …

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Question 2

According to the pattern shown below, how many triangle(s) is / are there from the 1st to the 500th figure counting from the left? ○ △ □ △ ○ △ □ △ ○…

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Question 3

It requires 12 minutes to cut a piece of wood into 5 sections. If the time required to cut into each section is the same, how many minutes are required to cut into 23 sections?

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Question 4

Today is Sunday. Which day of the week will 1002 days be later?

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Question 5

Andy’s grandfather’s age this year adds 7, is divided by 5, minuses 2 and multiplied by 7. The result will be 91 years old. How old is Andy’s grandfather this year?

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Question 6

Find the value of 48÷$1+48$÷$2+48$÷3.

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Question 7

Find the value of $3-6+9-12+15-18+21-24+27-30+33-36+39$.

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Question 8

Find the value of $11+14+17+20+23+26+29+32+35+38$.

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Question 9

Find the value of 123×$23+246$×$20+37$×123.

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Question 11

What is the smallest 4-digit number that can be divisible by 4 and 6?

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Question 12

Find the unit digit of A if $A=5$×5×...×5×3×3×...×3 (2018 factors 5 and 2018 factors 3).

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Question 13

Define the operation symbol a⊕b=(a+b)×(a−b), find the value of (145⊕135).

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Question 14

The product of positive numbers A and B is 363. A is 3 times of B. Find the value of A.

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Question 15

If a 9-digit number 20181013A is divisible by 18, 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

It is known as the lengths of shorter sides for a right-angled triangle are 5cm and 12cm respectively. Find the length of the longest side.

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Question 18

The area of a rectangle is 80 cm2. If the sides of the rectangle are integers, how many different value(s) of the perimeter of this rectangle is / are there?

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Question 19

A big square is formed by 25 squares with side length 7 cm. How many cm is the perimeter of the big square?

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Question 20

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

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