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HKIMO 2026 Grade 3 National Preliminary Set 02

Question 1

Refer to the pattern below. Find the 30th figure in the sequence.

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  2. Question illustration
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Question 2

Father's age 7 years ago equals Mother's age 4 years ago. Father is 48 now. How old is Mother now?
  1. 37
  2. 45
  3. 40
  4. 51

Question 3

Take Grandmother's age this year, add 4, multiply by 7, subtract 79 and divide by 10. The result is 60. How old is Grandmother this year?
  1. 90
  2. 95
  3. 101
  4. 93

Question 4

It is Saturday 1 September. In the same year, the Hong Kong International Science Olympiad is held on 16 December. How many days remain until the event?
  1. 104
  2. 105
  3. 106
  4. 107

Question 5

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

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  1. 13
  2. 12
  3. 14
  4. 15

Question 6

Find $10+11+12+13+14+15+16+17+18$.
  1. 112
  2. 252
  3. 126
  4. 224

Question 7

Find $50\times209+209\times30+209\times20$.
  1. 2900
  2. 2090
  3. 20900
  4. 29000

Question 8

Find $X$ given $(X+13)\times6-57=111$.
  1. 13
  2. 15
  3. 67
  4. 311

Question 9

Find $192\div8+192\div2+192\div4$.
  1. 13
  2. 84
  3. 112
  4. 168

Question 11

Define $a*b=a\times b+a\times2$. Find $3*5$.
  1. 21
  2. 25
  3. 9
  4. 5

Question 12

Dany and Peter have 100 pens in total. Dany has 12 fewer pens than Peter. How many pens does Dany have?
  1. 42
  2. 88
  3. 44
  4. 56

Question 13

The numbers form an arithmetic sequence. Find the sum of the 7th and 9th terms: $2,6,10,14,18,\ldots$
  1. 26
  2. 22
  3. 68
  4. 60

Question 14

The sum of A and B is 240. A is 3 times B. Find A.
  1. 180
  2. 60
  3. 160
  4. 80

Question 15

The sum of 3 consecutive odd numbers is 21. Find their product.
  1. 336
  2. 693
  3. 315
  4. 105

Question 16

How many squares are there in the figure below?

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  1. 8
  2. 11
  3. 12
  4. 10

Question 17

Donald had a square sheet of paper. He cut along the dotted line to remove the 4 corners and obtained a smaller square with perimeter 40 cm. Find the area of the original sheet in square centimetres.

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  1. 800
  2. 1000
  3. 400
  4. 600

Question 18

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

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  1. 18
  2. 12
  3. 24
  4. 1

Question 19

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

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  1. 9
  2. 11
  3. 14
  4. 8

Question 20

Find the perimeter of the figure below.

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  1. 125
  2. 208
  3. 184
  4. 104