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ITMC 2026 Grade 3 National Preliminary sample-r1

Question 1

Exam instructions: National Preliminary; 90 minutes (catalogue rule). Printed marking: Q 1–12 correct 4/blank 1/incorrect 0; Q 13–24 correct 6/blank 1.5/incorrect 0; Q 25–29 correct 7/blank 0/incorrect 0; optional Q 30 correct 20/blank 0/incorrect − 7. Year 2026 assigned because the source does not state an exam year. 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 is greater than two thousand five hundred and sixty-one?
  1. 2265
  2. 2556
  3. 2652
  4. 2225
  5. 2560

Question 2

Find $111-222+333-444+555$.
  1. 333
  2. 444
  3. 555
  4. 666
  5. 777

Question 3

Which number, after subtracting 2019 and then adding 2562, gives 3011?
  1. 2345
  2. 2468
  3. 2479
  4. 2562
  5. 2579

Question 4

Tom runs along the edges of the rectangular field shown, starting at P and ending at S while passing through R and Q. The field sides are 62 m and 25 m. How far does he run?

Question illustration
  1. 100
  2. 112
  3. 124
  4. 149
  5. 174

Question 5

How many distinct triangles are there in the figure?

Question illustration
  1. 9
  2. 8
  3. 7
  4. 6
  5. 5

Question 6

The square in the figure has side 3 cm. The triangle has three equal sides. What is the perimeter of the whole figure?

Question illustration
  1. 15 cm
  2. 16 cm
  3. 17 cm
  4. 18 cm
  5. 19 cm

Question 7

Two steps of a father cover the same distance as seven steps of his son. One father’s step is 55 cm. How far are 28 son’s steps?
  1. 440 cm
  2. 445 cm
  3. 450 cm
  4. 455 cm
  5. 465 cm

Question 8

A, B and C together have 120 dollars. A and B have 76 dollars; B and C have 68 dollars. How much does B have?
  1. 20
  2. 24
  3. 30
  4. 32
  5. 36

Question 9

Let $\overline{2A4}$ and $\overline{37B}$ be three-digit numbers with distinct digits A and B. Given $\overline{2A4}+\overline{37B}=632$, find A + B.
  1. 9
  2. 10
  3. 11
  4. 12
  5. 13

Question 10

A boy first drinks 200 ml from a full bottle. Next he drinks half of the remaining water. There are then 150 ml left. How much water was in the full bottle?
  1. 500
  2. 550
  3. 600
  4. 650
  5. 670

Question 11

The pictograph shows vehicles in a car park. Each ⊗ means 15 vehicles. Trucks have 5 symbols, cars 8, motorcycles 6, bicycles 7. Which statement is true?

Question illustration
  1. Bicycles are most numerous, with 90.
  2. There are 180 motorcycle wheels.
  3. Cars are most numerous, with 105.
  4. There are 210 car wheels.
  5. Trucks are least numerous, with 60.

Question 12

Each box contains 6 pencils. A teacher needs one pencil for each of 45 pupils. What is the smallest number of boxes she must buy?
  1. 6
  2. 7
  3. 8
  4. 9
  5. 10

Question 13

There are 123 boys in grade 3. The number of girls is 45 greater than the number of boys. How many pupils are there in grade 3?
  1. 168
  2. 198
  3. 291
  4. 308
  5. 311

Question 14

Given $3\times\boxed{X}=2019$ and $6\times\boxed{Y}=2562$, find $\boxed{X}+\boxed{Y}$.

Question illustration
  1. 1001
  2. 1010
  3. 1011
  4. 1100
  5. 1110

Question 15

Let ® = 1357, © = 2468 and ⊗ = 6789. Which statement is true?

Question illustration
  1. © − 1121 = ®
  2. ® + © = 3725
  3. © + 4421 = ⊗
  4. ® + © + ⊗ = 10514
  5. ⊗ − © − ® = 2964

Question 16

Consider the pattern shown. What is the 19th shape?

Question illustration
  1. circle
  2. triangle
  3. quadrilateral
  4. pentagon
  5. hexagon

Question 17

The figure shows three polygons labeled 1, 2, 3. Which statement is true?

Question illustration
  1. Figure 1 is a hexagon.
  2. Figure 2 is a pentagon.
  3. Figure 3 has fewer vertices than figure 2.
  4. Figure 2 has fewer sides than figure 3.
  5. None of these statements is true.

Question 18

A rectangular blackboard is 3 m wide. Its middle part is 4 m long and the two end parts have equal lengths. The perimeter of the whole board is 22 m. How long is the right-hand part?

Question illustration
  1. 5 m
  2. 4 m
  3. 3 m
  4. 2 m
  5. 1 m

Question 19

Two consecutive natural numbers have sum 25. What is their product?
  1. 66
  2. 84
  3. 100
  4. 114
  5. 156

Question 20

What are the next two numbers in this number pattern? 198, 201, 206, 213, 222, …, …
  1. 225, 238
  2. 227, 240
  3. 229, 242
  4. 231, 244
  5. 233, 246