HKIMO 2026 Grade 3 National Preliminary Set 04
How many squares are there in the first 42 figures, counting from the left?

27
24
8
25
Fill in the missing English letter: B, E, H, K, __.
L
M
N
O
Find the number represented by the question mark: $251,249,245,239,231,\underline{\phantom{000}},?,\ldots$
221
209
231
195
How many club symbols are there in the next figure?

25
31
33
29
Today is Sunday, 16 January. What day of the week is 30 January of the same year?
Sunday
Saturday
Monday
Friday
Find $251+892+608+749$.
2500
2000
1500
1000
Find $11+17+23+29+35+41+47+53+59$.
351
315
280
208
Find $16\times8+8\times30+8\times104$.
1200
800
1020
1500
Find $388\div5-123\div5$.
35
53
55
63
Find $x$ given $53+x\times8=149$.
11
15
12
14
Define $a\Delta b=(a-b)\times(a+b)-5$. Find $5\Delta3$.
15
11
8
2
The numbers form an arithmetic sequence. Find the sum of the 7th and 9th terms: $10,13,16,19,22,\ldots$
28
35
34
62
Ben has 15 apples and Bob has 36. How many apples must Bob give Ben so that Bob has twice as many as Ben?
2
17
5
8
Find the largest 3-digit number divisible by 7.
998
990
984
994
Three consecutive odd numbers sum to 21. Find their product.
336
693
315
105
How many rectangles are there in the figure below?

210
105
150
126
How many rectangles contain both asterisks in the figure below?

6
18
12
15
A rectangle has perimeter 224 cm. Its length is 10 cm more than its width. Find its width.
61 cm
51 cm
107 cm
117 cm
How many triangles are there in the picture of the boat below?

9
10
11
12
At least how many squares can be seen when observing the figure below from the right?

10
11
12
9