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IMAS 2020 — Middle Primary Grades 3–4 — Round 1

Question 1

Which of the following numbers has the largest value?
  1. 20201
  2. 20210
  3. 22100
  4. 22010
  5. 22001

Question 2

If Mike has 45 dollars and Scott has 54 dollars, how much more money does Scott have compared to Mike?
  1. 1
  2. 4
  3. 5
  4. 9
  5. 11

Question 3

What is the numerical value of $20-19+2\times0\times2\times0-20+21$?
  1. 0
  2. 1
  3. 2
  4. 5
  5. 6

Question 4

Which of the following numbers is a multiple of 3?
  1. 134
  2. 178
  3. 251
  4. 577
  5. 672

Question 5

Harry arrived at school at 07:26 in the morning, which is 19 minutes before the start of the first class. What time does the first class start in the morning?
  1. 07:35
  2. 07:45
  3. 07:50
  4. 07:55
  5. 08:05

Question 6

The diagram below shows a pattern that is made up using tangram puzzle pieces. How many more triangles than quadrilaterals are there in the diagram?

Question illustration
  1. 2
  2. 3
  3. 4
  4. 5
  5. 7

Question 7

Jack miscalculated $25\times48$ as $25\times4\times8$. Which of the following operations must he select in order to arrive at the correct answer?
  1. Divide by 4
  2. Divide by 8
  3. Multiply by 2
  4. Add 100
  5. Multiply by $ \frac{3}{2} $

Question 8

In the figure below, the area of each small square is $ 1 \, cm^2 $. What is the total area, in $ cm^2 $, of the shaded region?

Question illustration
  1. 24
  2. 28
  3. 32
  4. 36
  5. 40

Question 9

Fold a square piece of paper diagonally twice and then cut a small corner as shown in the diagram below. After performing the task, completely unfold the paper. How many sides does our newly obtained figure have?

Question illustration

Question illustration

Question illustration

Question illustration
  1. 6
  2. 8
  3. 10
  4. 12
  5. 16

Question 10

What is the units digit of $ 1+11+111+\ldots+\underbrace{111\ldots111}_{2020\ 1's} $?

  1. 0
  2. 1
  3. 2
  4. 5
  5. 6

Question 11

Among the figures below, which has the most number of lines of symmetry?
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration

Question 12

Albert drove from Town A to Town B at a constant speed of 80 km per hour. If the street sign shown below was seen during the trip, how many hours does it take Albert to drive from Town A to Town B?

Question illustration
  1. 2
  2. 2.5
  3. 3
  4. 1.125
  5. 0.875

Question 13

Among the shapes listed below, which cannot always be formed by using two identical triangles?
  1. Rhombus
  2. Trapezoid
  3. Square
  4. Rectangle
  5. Parallelogram

Question 14

In the figure below, it is known that the side length of both squares is 2 cm. An ant, whose initial position is at point O starts crawling continuously for 2020 cm along the following path: “O-A-B-C-O-D-E-F-O-A-B-C-O-D-E-F-O-A...”. After completing the task, where will the ant arrive?

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

Question 15

The diagram below shows a clock displaying the time 10:10, where the hour hand points between the numbers 10 and 11, the minute hand points exactly to the number 2 and the second hand points to exactly to number 12. After exactly 50 minutes, what is the sum of the numbers pointed by the hour, minute, and second hands?

Question illustration
  1. 24
  2. 28
  3. 29
  4. 35
  5. None of the above

Question 16

Given that the sum of the three smallest numbers among 11 consecutive positive integers is 63, what is the largest number among these 11 numbers?
  1. 11
  2. 21
  3. 22
  4. 30
  5. 31

Question 17

The figure on the lower left shows a cube, where the numbers from 1 to 6 are written on each face such that the sum of the numbers in any two opposite faces are all equal. If the figure on the lower right shows the diagram of the flattened view of the same cube, what is the number that is represented by $ \star $?

Question illustration

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

Question 18

In the expression below, letters $A$, $B$, $C$, $D$ and $E$ represent five different digits from 0 to 9. Which of the following letters has the largest value?

$$\begin{array}{r}A8B4C\\-\ 4D6E2\\\hline13579\end{array}$$

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

Question 19

There are 23 identical beads in a drawer, of which 8 are white and 15 are black. If you blindly take out the beads one at a time from the drawer, at least how many must be taken out to ensure that there are more black beads than white beads?
  1. 1
  2. 8
  3. 15
  4. 17
  5. 23

Question 20

In the figure below, $ ABCD $ is a square with an area of 2020 cm². Connect the midpoints of each side to get square $ EFGH $ and then connect the midpoints of each side of square $ EFGH $ to get square $ MNPQ $. What is the area, in cm², of the shaded region?

Question illustration
  1. 400
  2. 404
  3. 450
  4. 500
  5. 505