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HKIMO 2026 Grade 4 National Preliminary Set 01

Question 1

According to the pattern shown below, find the 2022nd figure counting from the left.

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Question 2

It was Monday yesterday. Which day of the week will it be 18 days later from now?
  1. Monday
  2. Friday
  3. Sunday
  4. Saturday

Question 3

There are 15 cows and 8 chickens in a farm. How many legs are there in total?
  1. 76
  2. 62
  3. 23
  4. 66

Question 4

According to the pattern below, find the next term in the sequence.

$1,2,5,10,17,26,\ldots$
  1. 35
  2. 37
  3. 34
  4. 38

Question 5

Grandma has a basket of apples. In the morning, she sells 10 apples. In the afternoon, she sells half of the remaining apples. Finally, she has 6 apples left in the basket. How many apples does Grandma have in the beginning?
  1. 26
  2. 22
  3. 16
  4. 11

Question 6

Calculate $48\div2+48\div3+48\div4$.
  1. 52
  2. 50
  3. 48
  4. 42

Question 7

Calculate $10\times8+10\times12+30\times10$.
  1. 400
  2. 500
  3. 300
  4. 600

Question 8

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

Question 9

Given that X and Y are 2 different digits, find the value of Y to get the correct operation below.

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  1. 6
  2. 7
  3. 8
  4. 9

Question 11

What is the smallest 3-digit number that can be divisible by 3?
  1. 103
  2. 101
  3. 111
  4. 102

Question 12

Find the last digit of $9\times9\times9\times\cdots\times9$ (2021 factors of 9).
  1. 1
  2. 3
  3. 7
  4. 9

Question 13

Define the operation $a*b=(b-a)\times(a+b)$. Find the value of $3*5$.
  1. 16
  2. 15
  3. 12
  4. 18

Question 14

If the 4-digit number $\overline{143B}$ is divisible by 9, find the value of $B$.
  1. 1
  2. 2
  3. 0
  4. 4

Question 15

The difference of A and B is 10. A is 3 times B. Find the value of A.
  1. 18
  2. 15
  3. 12
  4. 9

Question 16

How many rectangles containing the circle are there in the figure?

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  1. 16
  2. 32
  3. 18
  4. 24

Question 17

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

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  1. 4
  2. 5
  3. 6
  4. 3

Question 18

A square piece of paper with perimeter 16 cm is cut into 4 identical smaller squares. Find the perimeter of each small square.

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  1. 8 cm
  2. 4 cm
  3. 12 cm
  4. 16 cm

Question 19

The area of a rectangle is 10. If its side lengths are natural numbers, find its smallest possible perimeter.
  1. 7
  2. 14
  3. 11
  4. 22

Question 20

Which shaded region below has the greatest area?
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