Skip to content / Đến nội dung
ThichHocToan.com

HKIMO 2026 Grade 6 National Preliminary Set 01

Question 1

Jimmy goes east for 20 km, then south for 8 km and finally west for 5 km. How far is he now from his original position, in km?
  1. 17
  2. 15
  3. 25
  4. 33

Question 2

According to the pattern below, how many circles are in the 15th group?

Question illustration
  1. 100
  2. 110
  3. 120
  4. 130

Question 3

Today is Wednesday, 1 September 2021. What day of the week was this date two years ago?
  1. Monday
  2. Wednesday
  3. Friday
  4. Sunday

Question 4

Trees are planted on the right side of a 200-metre road, 5 metres apart, with one tree at each end. How many trees are there?
  1. 40
  2. 41
  3. 42
  4. 43

Question 5

Find the missing number: $2,6,18,54,?,486,1458,\ldots$.
  1. 126
  2. 162
  3. 216
  4. 261

Question 6

Find $255\div2+255\div5+255\div10$.
  1. 255
  2. 204
  3. 15
  4. 150

Question 7

Find $25\times12\times11$.
  1. 2200
  2. 2500
  3. 3300
  4. 4400

Question 8

Find $\frac1{2\times4}+\frac1{4\times6}+\frac1{6\times8}+\cdots+\frac1{18\times20}$.
  1. $\frac9{40}$
  2. $\frac9{20}$
  3. $\frac{19}{20}$
  4. $\frac{19}{40}$

Question 9

Find $(100-98+99-97+98-96+\cdots+4-2+3-1)\times(375\div5-25\times3)$.
  1. 0
  2. 196
  3. 1960
  4. 19600

Question 10

Find $1+4+7+10+\cdots+97+100$.
  1. 1717
  2. 1650
  3. 3434
  4. 5050

Question 11

How many zeros are at the end of $1\times2\times3\times\cdots\times50$?
  1. 10
  2. 11
  3. 12
  4. 13

Question 12

The five-digit number $\overline{7A39B}$ is divisible by 15. Find the greatest value of $A+B$.
  1. 10
  2. 14
  3. 15
  4. 18

Question 13

A is six times B. Their difference is 240. Find their sum.
  1. 320
  2. 340
  3. 336
  4. 360

Question 14

The sum of six consecutive natural numbers is 165. Find the third largest.
  1. 27
  2. 28
  3. 29
  4. 30

Question 15

How many three-digit numbers are divisible by 5 but not by 2?
  1. 90
  2. 95
  3. 99
  4. 89

Question 16

A cuboid is formed from three identical cubes of side 2 cm. Find its total surface area in $\mathrm{cm}^2$.
  1. 48
  2. 56
  3. 64
  4. 72

Question 17

Find the sum of the interior angles of the pentagon below.

Question illustration
  1. $360^\circ$
  2. $540^\circ$
  3. $720^\circ$
  4. $900^\circ$

Question 18

Two identical rectangles, each with perimeter 20 cm, and two squares form the large square below. The smallest square has area $4\ \mathrm{cm}^2$. Find the area of the largest square in $\mathrm{cm}^2$.

Question illustration
  1. 64
  2. 100
  3. 144
  4. 256

Question 19

How many squares are in the figure below?

Question illustration
  1. 8
  2. 9
  3. 10
  4. 12

Question 20

Identical cubes form the solid below. Alice paints its entire surface. How many small cubes have exactly three painted faces?

Question illustration
  1. 12
  2. 14
  3. 16
  4. 18