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IMAS 2012 — Middle Primary Grades 3–4 — Round 1

Question 1

We want to cut a 20 m stick into shorter sticks of length 4 m. We can only cut one piece of stick at a time. How many cuts are required?
  1. 3
  2. 4
  3. 5
  4. 6
  5. 7

Question 2

What number must replace the □ in the mathematical sentence

□ + 5 = 13 - 6 to make it correct?
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5

Question 3

Which of the following number is less than 2,010,000?
  1. two millions and ten thousands
  2. 2,100,000
  3. one million and twenty thousands
  4. 20,100,000
  5. two millions and one hundred thousands

Question 4

What is the value of 999+99?
  1. 1088
  2. 1098
  3. 1099
  4. 1889
  5. 1989

Question 5

The following figures are formed by identical squares. Which figure has the longest perimeter?
  1. Question illustration
  2. Question illustration
  3. Question illustration
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  5. Question illustration

Question 6

Starting from the forest, a rabbit hopped 500 m to the north, and then reached a farm by hopping 500 m to the west. In which direction from the forest is the farm?
  1. East
  2. South
  3. Northwest
  4. North
  5. West

Question 7

Which of the following figures cannot be drawn without lifting the pencil off the paper and without going over any line twice?
  1. Question illustration
  2. Question illustration
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  5. Question illustration

Question 8

What operation signs must replace ○ and □ so that the mathematical sentence $2 + 8 + 3 = 2 \bigcirc 8 \square 3$ is correct?
  1. + for ○ and × for □
  2. × for ○ and - for □
  3. + for ○ and ÷ for □
  4. × for ○ and ÷ for □
  5. × for ○ and + for □

Question 9

A ray consists of a point on a line and all the points on that line on one side of that point. How many rays can we draw through a point on a plane?
  1. 1
  2. 2
  3. 4
  4. 8
  5. Indefinitely many

Question 10

The birthdays of two sisters are on the same day. The elder sister is 4 years older than the younger sister. When the sum of their ages reaches 50 years, how old is the younger sister?
  1. 12
  2. 20
  3. 23
  4. 25
  5. 27

Question 11

The diagram below shows two squares AMND and PQRS inside a rectangle ABCD. The areas of the two squares are 16 cm² and 4 cm² respectively. What is the sum of area of the shaded regions in cm²?

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

Question 12

How many zeros are there in the end of the product of $ 20 \times 30 \times 40 \times 50 $?
  1. 1
  2. 2
  3. 4
  4. 5
  5. 6

Question 13

Some students form a rectangle. Joseph is in the fourth row if we count from the front and in the seventh row if we count from the back. He is in the third column if we count from left and in the ninth column if we count from the right. How many students are there?
  1. 90
  2. 100
  3. 110
  4. 120
  5. 132

Question 14

Two pieces of straw can be joined together by overlapping one with the other for a length of 2 cm. If three pieces of straw are joined together to form a magic wand, what is the length, in cm, of the magic wand?
  1. 54
  2. 55
  3. 56
  4. 58
  5. 60

Question 15

In the mathematical sentence below, $A$, $B$, $C$, $D$, $E$ and $F$ represent six distinct digits from 0 to 9. What is the numeral value of $E$?

$$\begin{array}{r}6A\\\times\ 35\\\hline33B\\1C8\phantom{0}\\\hline DEFB\end{array}$$
  1. 0
  2. 1
  3. 2
  4. 3
  5. 4

Question 16

A soccer match consists of two halves each lasting 45 minutes, with a 15-minute break in between. If a soccer match begins at 13:00 and there is no extension of the game, at what time will it end?
  1. 13:45
  2. 14:00
  3. 14:30
  4. 14:35
  5. 14:45

Question 17

Study the mathematical sentences below:

$$ 74\times6=444, $$

$$ 74\times12=888, $$

$$ 74\times\left(\underline{\quad}\right)=444888 $$

What number must be filled in the parentheses so that the last sentence is correct?
  1. 1266
  2. 1206
  3. 6088
  4. 6612
  5. 6012

Question 18

Let us fold a square piece of paper along a diagonal to make a triangle. Cut a small round hole near each of the three corners of the triangle. Which of the following figures is obtained when we unfold the piece of paper?
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Question 19

Susan wrote five numbers on the board, represented by A, B, C, D and E. A is larger than B, C is larger than D, C is smaller than E, D is larger than B, and E is smaller than A. Which number is the third largest?
  1. A
  2. B
  3. C
  4. D
  5. E

Question 20

The three figures in the diagram below have equal perimeters. What is $a:b:c$?

Question illustration

Question illustration

Question illustration
  1. 1:1:1
  2. 2:4:5
  3. 4:6:5
  4. 16:20:25
  5. 20:25:24