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IMAS 2019 — Upper Primary Grades 5–6 — Round 1

Question 1

What is the simplified value of $2.5\times3.2\times0.76\times12.5$?
  1. 0.76
  2. 7.6
  3. 76
  4. 176
  5. 760

Question 2

The purchase volume of apples in a hypermarket is 1560 kg, and it is three times that of pears. What is the total purchase amount of apples and pear, in kg, of that hypermarket?
  1. 520
  2. 2080
  3. 2180
  4. 4680
  5. 6240

Question 3

Which of the following statements is correct for the approximation of the "rounding method"?
  1. When representing approximations of numbers, 3.00 is the same as 3.0.
  2. The approximation 4.0 is as precise as 4.
  3. The result in approximation of $2.019\times0.5$ to the nearest thousandth is
    1.009.
  4. If the approximate value of a certain number is 3, then this number must be less than 3.05.
  5. The approximation of repeating decimal number $2.\overline{019}=2.019019\ldots$ to the fifth place after the decimal point is 2.01902.

Question 4

Which of the following statements is correct?
  1. The quotient of the dividend divided by the divisor must be less than the dividend.
  2. The quotient obtained when the dividend is divided by the divisor must be greater than the dividend.
  3. The quotient obtained when a number is divided by 0.4 must be greater than this number.
  4. If both the dividend and divisor are greater than 0, then when the divisor is doubled, the quotient is doubled.
  5. If both the dividend and divisor are greater than 0, and if the quotient is less than the dividend, then the divisor must be greater than 1.

Question 5

Use “ < ” to connect $12.5\overline{21}, 12.\overline{521}, 12.52\overline1, 12.522$. Which of the following statement is correct?
  1. $12.52\overline1\lt12.5\overline{21}\lt12.\overline{521}\lt12.522$
  2. $12.5\overline{21}\lt12.52\overline1\lt12.522\lt12.\overline{521}$
  3. $12.52\overline1\lt12.5\overline{21}\lt12.522\lt12.\overline{521}$
  4. $12.52\overline1\lt12.\overline{521}\lt12.5\overline{21}\lt12.522$
  5. $12.\overline{521}\lt12.5\overline{21}\lt12.52\overline1\lt12.522$

Question 6

The following table records the number of students in a certain primary six class in their mathematics mid-term exam.
|Score|100|90–99|80–89|70–79|60–69|Below60|
|---|---|---|---|---|---|---|
|No. of students|3|8|16|6|4|3|

If the score of a student in this examination is more than 79 points, he/she will receive a gift. What is the percent rate of the students that will receive a gift in the mid-term exam? $(\mathrm{Percent\ Rate}=\frac{\mathrm{Number\ of\ students\ receiving\ gift}}{\mathrm{Total\ number\ of\ students\ in\ the\ class}})$





  1. 40%
  2. 60%
  3. 67.5%
  4. 82.5%
  5. 92.5%

Question 7

There are 110 meters of blue cloth, capable of making 22 sets of adult uniforms. After making 15 sets, the remaining cloth is just enough for 10 children's uniforms. How much less cloth, in meters, does a child uniform use than an adult uniform?

  1. 1
  2. 1.5
  3. 2
  4. 2.5
  5. 3

Question 8

A classroom is 8 m long, 6 m wide and 4 m high. Jose wants to paint the ceiling and surrounding walls of the classroom, but the door and window with a total area of 22 m² will not be painted. What is the total area that needs to be painted?
  1. 138
  2. 160
  3. 186
  4. 192
  5. 208

Question 9

A two-digit prime number has two distinct digits. When the two digits are swapped, one gets another prime number. How many such two-digit primes are there?
  1. 2
  2. 4
  3. 6
  4. 8
  5. 10

Question 10

In a division of positive integers, the quotient is 24 and the remainder is 42. When the divisor takes the smallest possible value, what is the dividend?
  1. 1008
  2. 1032
  3. 1050
  4. 1074
  5. 2019

Question 11

It is known that a three-digit number $\overline{2ab}$ is divisible by 6. What is the maximum possible value of $a+b$ ?
  1. 14
  2. 15
  3. 16
  4. 17
  5. 18

Question 12

How parallelograms with sides on the grid lines are there in the figure below?

Question illustration
  1. 6
  2. 8
  3. 10
  4. 13
  5. 15

Question 13

The same number of white and black balls are placed in a box. In one operation, five white balls and three black balls were taken out from the box. After several operations, there were zero white balls and only 6 black balls left in the box. How many operations was performed?
  1. 3
  2. 4
  3. 5
  4. 6
  5. 7

Question 14

In the figure below, the distance between two adjacent vertices is 1 cm. What is the area of the shaded portion of the figure, in cm² ?

Question illustration
  1. 7.5
  2. 8
  3. 8.5
  4. 9
  5. 9.5

Question 15

The side length of square ABCD is 6 cm, while that of square CEFG and CPQR are both 4 cm, as shown in the figure. What is the area, in cm² , of the shaded portion?

Question illustration
  1. 32
  2. 36
  3. 40
  4. 42
  5. 48

Question 16

There are three kinds of lunch boxes in the school cafeteria, the prices are USD15, USD13 and USD11, respectively. At a certain day noon time, the total income of the cafeteria from selling lunch boxes was USD2019. How many lunch boxes might the cafeteria sold at noon time on that day?
  1. 105
  2. 130
  3. 155
  4. 185
  5. 205

Question 17

Each square in the figure below is filled with a positive integer so that the sum of each Question illustration (five squares) is divisible by 3. What is the minimum value of $A+B+C+D+E$?

Question illustration
  1. 3
  2. 6
  3. 8
  4. 9
  5. 15

Question 18

As shown in the figure below, an ant starting from vertex A of the cuboid needs to move along the edges to reach its destination, vertex B. If the ant can only pass through three edges, how many possible paths can the ant crawl to reach the destination?

Question illustration
  1. 3
  2. 6
  3. 9
  4. 12
  5. 15

Question 19

Given a concave quadrilateral, draw a sector with radius of 5 cm from each of the four vertices as shown below. What is the area, in cm, of these four sectors? (Assume $\pi=3.14$ )

Question illustration
  1. 39.25
  2. 78.5
  3. 157
  4. 235.5
  5. Undetermined

Question 20

There is a conical wheat heap on the yard, which weighs about 10 385.55 kg. If the bottom circumference is 18.84 m, the weigh of the wheat is 735 kg per m³ . What is the approximate distance, in cm, from top of the heap to the ground? (Assume $\pi=3.14$ )



Question illustration

  1. 0.5
  2. 0.8
  3. 1
  4. 1.2
  5. 1.5