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ITMC 2018 Grade 5 National Preliminary set01

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 of the following digits does not appear in the sum of two thousand five hundred sixty-one and two thousand eighteen?
  1. 9
  2. 7
  3. 5
  4. 4
  5. 3

Question 2

What is the value of $\frac15\div5$?
  1. 25
  2. 5
  3. 1
  4. 0.04
  5. 0.4

Question 3

What is the value of 25.61 + 20.18?
  1. 45.67
  2. 45.78
  3. 45.79
  4. 46.78
  5. 46.79

Question 4

If an equilateral triangle is divided into two equal parts, what is the shape of each part? The five proposed shapes are shown.

Question illustration
  1. A
  2. B
  3. C
  4. D
  5. E

Question 5

The ten markers in the figure represent integers and divide the segment from 25 to 61 into nine equal parts. What integer is A?

Question illustration
  1. 30
  2. 33
  3. 37
  4. 38
  5. 43

Question 6

The radius of circle A is two times the radius of circle B. How many times is the area of circle A greater than the area of circle B?
  1. 4
  2. 3
  3. 2.5
  4. 2
  5. 1

Question 7

A factor of n is a positive integer that divides n. For example, the six factors of 12 are 1, 2, 3, 4, 6 and 12; the two factors of 3 are 1 and 3; and 1 has only one factor. Which of the following numbers has the fewest factors?
  1. 24
  2. 30
  3. 37
  4. 40
  5. 42

Question 8

Let a be the smallest two-digit number leaving remainder 2 on division by 7, and b the largest such two-digit number. Find a + b.
  1. 109
  2. 102
  3. 116
  4. 110
  5. 112

Question 9

Which number has the smallest remainder when divided by 7?
  1. 2018
  2. 2561
  3. 4036
  4. 5122
  5. 543

Question 10

International trade is the exchange of goods and services between countries. Total trade equals exports plus imports. A trade surplus means exports exceed imports; a trade deficit means imports exceed exports. This year Thailand exports 3.99 trillion baht and imports 3.45 trillion baht. Which statement is true?
  1. A deficit of 5.4 trillion baht.
  2. A deficit of 0.54 trillion baht.
  3. A surplus of 5.4 trillion baht.
  4. A surplus of 0.54 trillion baht.
  5. A deficit of 0.054 trillion baht.

Question 11

In a year, 5 August is Sunday. Which of the following dates is Monday?
  1. 5 July
  2. 5 September
  3. 5 October
  4. 5 November
  5. 5 December

Question 12

How many integers from 100 to 999 have tens and units digits whose sum is 9?
  1. 81
  2. 90
  3. 100
  4. 180
  5. 450

Question 13

Which number is nearest to $200\times0.2561+30\times2.561+5\times25.61$?
  1. 26
  2. 256
  3. 257
  4. 2561
  5. 25610

Question 14

All 50 students stand in a row. Counting from the left, Jamy is 17th and Kate is 39th. How many students are between them, excluding Jamy and Kate?
  1. 23
  2. 22
  3. 21
  4. 20
  5. 19

Question 15

How many digits are in the quotient when 111122223333444455556666777788889999 is divided by 1111?
  1. 9
  2. 10
  3. 32
  4. 33
  5. 36

Question 16

ABCD is a rectangle. E is the midpoint of BC and F is the midpoint of CD. What fraction of the rectangle’s area is the area of triangle AEF?
  1. $\frac14$
  2. $\frac38$
  3. $\frac12$
  4. $\frac58$
  5. Not enough information.

Question 17

The figure consists of 28 equal small squares with total area 1008 square units. What is the perimeter of one small square?

Question illustration
  1. 6
  2. 12
  3. 18
  4. 24
  5. 36

Question 18

Pizzas of radii 8, 10, 12 and 14 inches are divided into 3, 4, 6 and 8 equal pieces respectively. All have the same thickness. David wants one piece with the greatest quantity of pizza. Which radius should he select?
  1. 8 inches
  2. 10 inches
  3. 12 inches
  4. 14 inches
  5. Any piece: all are equal.

Question 19

A box contains one card for each integer from 1 to 10. After one card is removed, the remaining cards can be split into two piles whose products are equal. What number is on the removed card?
  1. 7
  2. 6
  3. 5
  4. 3
  5. 2

Question 20

The letters PRENEEXAM repeat: PRENEEXAMPRENEEXAMPRENEEXAM… . What is the 100th letter?
  1. P
  2. R
  3. E
  4. N
  5. X