IMAS 2016 — Upper Primary Grades 5–6 — Round 1

Question 1

1. 9459
2. 9639
3. 9819
4. 9999
5. 10089

Question 2

1. $1.2\times3.4=12\times3.4$
2. $0.98\times0.99>0.99$
3. $\frac12-\frac13\lt\frac13-\frac14$
4. $10.4\times0.1\lt1.04$
5. $1.1\times1.1>1.1$

Question 3

The diagram below shows the seven pieces in the classic Chinese puzzle called Tangram. Which of the following five figures is not composed with a set of Tangram pieces?

Question 4

A large truck can carry 6.3 tons and costs 1000 dollars to rent. A small truck can carry 2.1 tons and costs 400 dollars to rent. To transport 12.6 tons, how much cheaper if only large trucks are rented, compared with only small trucks are rented?

1. 100
2. 200
3. 250
4. 350
5. 400

Question 5

Mick is in one of the eight squares round a house, and the house is to his north-west. On which square is Mick?

1. a
2. c
3. f
4. h
5. d

Question 6

The table below summarizes the results of a test in a certain class. What is the total score of this class? Summary of the results of a test
|No. of students|The highest score|The lowest score|The average score|
|---|---|---|---|
|42|100|16|84.5|

1. 672
2. 3528
3. 3549
4. 4200
5. 4872

Question 7

1. 1
2. 2
3. 6
4. 8
5. 10

Question 8

1. 351
2. 399
3. 360
4. 408
5. 432

Question 9

1. 
   
   3 red balls;4 black balls.
2. 
   
   2 red balls;3 green balls.
3. 
   
   2 red balls;4 blue balls.
4. 
   
   3 red balls;3 yellow balls.
5. 
   
   3 red balls;2 white balls.

Question 10

1. 416
2. 417
3. 418
4. 419
5. 420

Question 11

The chart below shows the sale figures of a certain merchandise in 2014 and 2015 by the season. How many more items were sold in 2015 than in 2014?



Chart legend:diamonds2015,circles2014; horizontal axis:quarters1–4; vertical axis:sales in items.

1. 23
2. 48
3. 85
4. 90
5. 110

Question 12

Fanny has 20 coins each worth 5 pence. Trading some of them for coins each worth 2 pence, she ends up with 32 coins. Then she trades some more 5-pence coins for coins each worth 1 penny, and now she has 56 coins. How many 5-pence coin does Fanny still have?

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

Question 13

1. 100
2. 105
3. 108
4. 109
5. 215

Question 14

1. 1296000
2. 1582200
3. 1800000
4. 1586400
5. 1291800

Question 15

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

Question 16

On the table is a regular hexagon and a square. The side AB of the hexagon coincides with the side EF of the square. With the hexagon fixed, the square rotates about a common vertex until another side of the hexagon coincides with another side of the square. How many such rotations will it take to bring EF back to AB again?

1. 20
2. 18
3. 12
4. 10
5. 6

Question 17

In a standard clock, the angle between two of its hands is the angle they form which is 180° or less. In which of the following five times will the angle between the minute and second hands be greater than or equal to the angle between the hour and the second hand?

1. 06：00：15
2. 10：10：30
3. 12：30：18
4. 14：50：00
5. 20：20：00

Question 18

1. 4
2. 5
3. 6
4. 7
5. 8

Question 19

How many different rectangles (including squares) in different positions are there in the diagram below?

1. 25
2. 26
3. 27
4. 28
5. 29

Question 20