Skip to content / Đến nội dung
ThichHocToan.com

ITMC 2026 Grade 5 National Preliminary sample-r1

Question 1

Printed positive marks are preserved per question. The source uses different blank-answer and incorrect-answer rules by section, including an optional bonus penalty; the import does not reproduce that complete official scoring scheme.

Which number equals two thousand five hundred sixty-two minus two thousand nineteen?
  1. 543
  2. 507
  3. 453
  4. 372
  5. None of A–D.

Question 2

Suppose $3 a=2019$ and $2\times b\times 3=2562$. Find $(a+b)\div 100$.
  1. 11
  2. 12
  3. 13
  4. 14
  5. 15

Question 3

Round 20192562 and 25622019 to the nearest hundred thousand. Find the difference between the two rounded numbers.
  1. 550000
  2. 5400000
  3. 5500000
  4. 4500000
  5. 540000

Question 4

A triangle has base 20 cm and perpendicular height 10 cm. Find its area in square centimeters.
  1. 200
  2. 100
  3. 80
  4. 60
  5. 50

Question 5

To add $\frac 1{15}+\frac 1{21}+\frac 1{27}$, what is the least common denominator?
  1. 189
  2. 315
  3. 567
  4. 945
  5. 2835

Question 6

A rectangular piece of wood is 15.8 cm wide and 205.4 cm long. How many such pieces are needed to form a square of side 205.4 cm?
  1. 11 pieces
  2. 12 pieces
  3. 13 pieces
  4. 14 pieces
  5. 15 pieces

Question 7

An exam has a full score of 50. A boy earns 80% of the full score in mathematics and 120% of his mathematics score in English. What is his English score?
  1. 42
  2. 44
  3. 45
  4. 46
  5. 48

Question 8

In the figure, an equilateral triangle shares its base with a side of a square. The square has area 81 cm². Find the triangle’s perimeter.

Question illustration
  1. 81 cm
  2. 90 cm
  3. 45 cm
  4. 27 cm
  5. 18 cm

Question 9

The digit sum of 2019 is 2 + 0 + 1 + 9 = 12. Which number has the same digit sum?
  1. 29
  2. 58
  3. 308
  4. 480
  5. 909

Question 10

The table gives grade-5 mathematics scores: 6 students score 7, 4 score 8, 7 score 9, and 3 score 10. What is the average score?

Question illustration
  1. 8.35
  2. 9.12
  3. 9.25
  4. 9.32
  5. 9.45

Question 11

The first box contains balls labelled 1 and 3; the second contains balls labelled 2 and 5. One ball is drawn from each box. How many different sums are possible?
  1. 4
  2. 3
  3. 6
  4. 8
  5. 5

Question 12

The route map is Home–Hospital–Market–Temple, with successive distances 3.2 km, 3.5 km and 2.9 km. A woman leaves home for the market, reaches the hospital, remembers her purse at home and returns home. She then goes from home to the market and, after shopping, returns home. What total distance does she travel in kilometers?

Question illustration
  1. 26.8
  2. 28.6
  3. 39.6
  4. 41.6
  5. 19.8

Question 13

What is the hundredths digit of $(2019\times 5)\div 7$?
  1. 1
  2. 2
  3. 8
  4. 4
  5. 5

Question 14

Which expression has the greatest value?
  1. $2.562\times10$
  2. $0.2562\times100$
  3. $256.2\div10$
  4. $0.02562\times1000$
  5. $2562\times0.1$

Question 15

A one-liter bottle is full of water. $\frac 48$ liter is used in the morning and $\frac 38$ liter in the afternoon. How much remains?
  1. 96 mL
  2. 118 mL
  3. 125 mL
  4. 218 mL
  5. 875 mL

Question 16

All triangles in the figure are isosceles right triangles, and each small square has area 10. What is the area of the largest triangle?

Question illustration
  1. 50
  2. 40
  3. 55
  4. 45
  5. Cannot be calculated.

Question 17

A cuboid pool has a square base of side 3 m. After 54 m³ of water is added, the water surface is 2 m below the top. Find the pool’s height.
  1. 18 m
  2. 6 m
  3. 8 m
  4. 9 m
  5. 4 m

Question 18

A rectangle is 2 units longer than a square’s side and 1 unit narrower than that side. Its area exceeds the square’s area by 5 square units. What is the square’s side length?
  1. 3 units
  2. 4 units
  3. 5 units
  4. 6 units
  5. 7 units

Question 19

Consider the indicated repeating pattern 2, 0, 1, 9, 2, 5, 6, 3, 2, 0, 1, 9, 2, 5, 6, 3, 2, 0, 1, 9, … . In its first 80 terms, how many more 2s than 5s occur?
  1. 10
  2. 20
  3. 30
  4. 40
  5. 50

Question 20

For example, 5 + 6 + 7 = 18 is the sum of three consecutive integers. Three consecutive integers have sum 2019. What is the largest of them?
  1. 647
  2. 674
  3. 764
  4. 746
  5. 476