Skip to content / Đến nội dung
ThichHocToan.com

HKIMO 2026 Grade 5 National Preliminary Set 02

Question 1

Refer to the pattern below. Find the 118th figure in the sequence.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration

Question 2

According to the pattern below, find the 7th number in the sequence.

$5,6,8,11,\ldots$
  1. 26
  2. 20
  3. 25
  4. 15

Question 3

Grandmother’s age this year adds 4, multiplies by 7, subtracts 79 and then divides by 10. The result will be 60 years old. How old is grandmother this year?
  1. 90
  2. 95
  3. 101
  4. 93

Question 4

Today is 10th October, Sunday. Which day of the week will it be on 31st March of the same year?
  1. Wednesday
  2. Tuesday
  3. Thursday
  4. Friday

Question 5

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

Question illustration
  1. 33
  2. 41
  3. 25
  4. 36

Question 6

Find the value of $1+5+9+13+\cdots+113+117$.
  1. 1829
  2. 1770
  3. 3540
  4. 1740

Question 7

Find the value of $13\times51+13\times173-39\times8$.
  1. 1300
  2. 13000
  3. 26000
  4. 2600

Question 8

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

Question 9

Find the value of $1+2+4+8+\cdots+8192$.
  1. 16383
  2. 16384
  3. 13863
  4. 14368

Question 10

Find the value of $\frac1{1\times2}+\frac1{2\times3}+\cdots+\frac1{96\times97}+\frac1{97\times98}$.
  1. $\frac78$
  2. $\frac1{98}$
  3. $\frac{98}{97}$
  4. $\frac{97}{98}$

Question 11

Define the operation $a*b=a\times b+a\times2$. Find the value of $3*(5*15)$.
  1. 261
  2. 22
  3. 225
  4. 357

Question 12

If the 5-digit number $\overline{9054A}$ is divisible by 18, find the value of digit $A$.
  1. 4
  2. 9
  3. 0
  4. 8

Question 13

The numbers below form an arithmetic sequence. What is the sum of the 7th term and the 9th term?

$2,6,10,14,18,\ldots$
  1. 26
  2. 22
  3. 68
  4. 60

Question 14

The sum of $A$ and $B$ is 240. $A$ is 7 times $B$. Find the value of $A$.
  1. 30
  2. 210
  3. 120
  4. 200

Question 15

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

Question 16

How many rectangles are there in the figure below?

Question illustration
  1. 90
  2. 150
  3. 288
  4. 144

Question 17

Donald had a square sheet of paper. He cut along the dotted line to get rid of 4 corners and got a smaller square with a perimeter of 40 cm. Find the area of the original sheet of paper in cm².

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

Question 18

A rectangle has perimeter 160 cm. When its length increases by 5 cm, its area increases by 125 cm². Find the area of the new rectangle in cm².
  1. 3375
  2. 3500
  3. 1375
  4. 1500

Question 19

10 small cubes with side length 1 cm are combined to form the figure below. What is its total surface area in cm²?

Question illustration
  1. 18
  2. 36
  3. 31
  4. 32

Question 20

There are two equal squares, $ABCD$ and $PQRS$, with side length 36. They overlap to form rectangle $AQRD$ as shown. The area of rectangle $AQRD$ is 180 cm² less than the total area of the two squares. Find the perimeter of rectangle $AQRD$.

Question illustration
  1. 206
  2. 103
  3. 144
  4. 216