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HKIMO 2026 Grade 3 National Preliminary Set 01

Question 1

According to the pattern below, find the next number in the sequence: $2,5,7,12,19,31,\ldots$
  1. 50
  2. 43
  3. 45
  4. 53

Question 2

The ten-letter code BEST OF LUCK represents the ten digits from 0 to 9, in the same order. What is the 5-digit number represented by the code word SCOUT?
  1. 28437
  2. 28473
  3. 28453
  4. 28732

Question 3

The age of Andy 4 years later equals the age of Abby 8 years later. When Abby is 18 years old, how old is Andy?
  1. 14
  2. 30
  3. 6
  4. 22

Question 4

According to the pattern shown below, how many sun symbols are there in the next group?

Question illustration
  1. 25
  2. 26
  3. 23
  4. 21

Question 5

According to the pattern below, how many squares are there in the first 25 figures counting from the left?

Question illustration
  1. 7
  2. 13
  3. 12
  4. 6

Question 6

Find the value of $23+375+177+125$.
  1. 550
  2. 600
  3. 400
  4. 700

Question 7

Find the value of $10+13+16+19+22+25+28+31+34$.
  1. 198
  2. 164
  3. 328
  4. 396

Question 8

Find the value of $6\times23+6\times120+6\times57$.
  1. 600
  2. 840
  3. 1200
  4. 1150

Question 9

Find $x$ given that $9\times x+5=239$.
  1. 28
  2. 27
  3. 26
  4. 23

Question 10

Find the value of $1001\times321$.
  1. 123321
  2. 321123
  3. 321321
  4. 123123

Question 11

Define $a\oplus b=a\times(b+13)$. Find $3\oplus15$.
  1. 84
  2. 45
  3. 18
  4. 240

Question 12

Anna and Bella have 112 books in total. Bella has 26 fewer books than Anna. How many books does Bella have?
  1. 86
  2. 43
  3. 69
  4. 60

Question 13

The sum of A and B is 91. B is six times A. Find B.
  1. 65
  2. 13
  3. 78
  4. 52

Question 14

The numbers form an arithmetic sequence. Find the 10th term: $4,10,16,22,28,\ldots$
  1. 64
  2. 70
  3. 52
  4. 58

Question 15

Ms. Linh gives apples to all students in her class. If everyone gets 3 apples, 2 apples are left. If everyone gets 2 apples, 23 apples are left. How many students are in Ms. Linh's class?
  1. 19
  2. 59
  3. 65
  4. 21

Question 17

How many squares are there in the figure below?

Question illustration
  1. 11
  2. 12
  3. 10
  4. 5

Question 18

How many rectangles containing the asterisk are there in the figure below?

Question illustration
  1. 18
  2. 24
  3. 16
  4. 12

Question 19

The perimeter of a rectangle is 160. Its length is 3 times its width. Find its area.
  1. 1250
  2. 1200
  3. 4800
  4. 2500

Question 20

Find the perimeter of the figure below.

Question illustration
  1. 192
  2. 180
  3. 168
  4. 240