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HKIMO 2019 Grade 3 National Final (Heat) Set 02

Question 1

According to the pattern, what English letter belongs in the blank? B, D, G, K, P, __.

Question 2

If 13 April 2020 is Monday, what day of the week is 11 February 2020?

Question 3

Mary needs 30 minutes to finish an exercise and rest for 5 minutes. At most how many exercises can she finish in 4 hours?

Question 4

According to the pattern below, what number belongs in the blank?

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Question 5

According to the pattern, what is the 13th term? $1,2,5,10,17,26,\ldots$

Question 7

Find $480\div2+480\div4+480\div8+480\div12+480\div24$.

Question 8

Fill the blank to make the equation correct: $\underline{\phantom{000}}\div3\times7-7=14$.

Question 9

Find $47\times21+18\times42+17\times21$.

Question 11

Define $a\otimes b=(a-b)\times(a+2\times b)$. Find $149\otimes49$.

Question 12

Fill the three blanks with multiplication or addition signs. Write the complete correct equation: $9\;\underline{\phantom{+}}\;8\;\underline{\phantom{+}}\;5\;\underline{\phantom{+}}\;7=56$.

Question 13

The source says A, B, C are distinct digits from 1 to 9. Find A in the column addition.

Editorial clarification: all four letters A, B, C, D represent distinct digits from 1 to 9. The source sentence names only A, B, C, although D also appears in the addition.

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Question 14

The arithmetic sequence is $11,17,23,29,35,\ldots$. Find the sum of its 10th and 12th terms.

Question 15

What is the difference between the largest and smallest 3-digit multiples of 35?

Question 16

Andy stacks identical cubes as shown. At least how many squares can be seen when viewing from the right?

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Question 17

A pyramid has 36 faces. How many edges does it have?

Question 19

A square of side 36 cm is cut into 9 squares of side 12 cm. What is the difference between the large perimeter and the sum of all 9 small perimeters?

Question 20

How many rectangles in the figure contain the asterisk?

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