2011 UPPER PRIMARY DIVISION FIRST ROUND PAPER

6/29/2020 12:41:00 PM

2011－1022 = ？

Lynne’s last class of the day starts at 2:30 pm. Each class lasts 45 minutes. When this class is over, what is the angle, the one less than 180°, which is formed by the hour hand and the minute hand of her watch?

90°
larger than 90°
Larger than 0°and less than 90°
0°
could not be determined

Each small square in all the following figures has side length 1. Which figure has the largest area?

In which of the following figures does the shaded part occupies more than of the total area?

Bruce is reading a story book. One of the stories takes up two consecutive pages, and the sum of the page numbers is 345. On which page does this story begin?

If we copy the letters “MATHS” repeatedly, we get “MATHSMATHS. . . ”.

What is the 2011-th letter from the left?

From 2 + 2 = 2 × 2, we observe that the sum of the two numbers 2 and 2 is equal to their product. Of the following pairs of numbers, which has this property?

2 and
3 and
4 and
5 and
6 và

A certain percentage of the area of the given figure is shaded. What is this percentage?

25%
27.5%
36.5%
37.5%
42.5%

Thirty students are standing in a row. They start calling out 1, 2, 3, . . . from the left, and Mickey calls out 13. If the calling starts from the right instead, what number will Mickey call out?

The box contains 20 balls numbered from 1 to 20, but identical otherwise. Eve draws a ball at random from the box. Which of the following outcome is the most likely?

Drawing the ball numbered 11
Drawing balls that are of even number
Drawing balls that ended with the digit 5, 6, 7, 8
Drawing balls that contain the digit 1
Drawing balls with a one-digit number

There is a pattern to the given sequence of figures

Which of the following will be the 2011-th figure of the sequence?

Woody has a rabbit which eats three carrots and one cabbage every two days. He is going on a 7-day holiday. At least how many carrots and cabbages must he leave behind for the rabbit? (Assume that all carrots are of the same size, as are the cabbages)

9 carrots and 3 cabbages
10 carrots and 3 cabbages
11 carrots and 3 cabbages
10 carrots and 4 cabbages
11 carrots and 4 cabbages

The given figure is the net of a cube, and each face is labeled with a letter. When the cube is formed, which letter is on the face opposite to the one labeled with the letter I?

Mark’s bicycle has a front wheel and a back wheel of different sizes. The front wheel advances 3 metres per revolution, and the back wheel advances 2 metres per revolution. Which statement accurately describes Mark’s 6-kilometre trip from home to school?

The front wheel makes 3000 revolutions
The front wheel and the back wheel makes the same number of revolutions
The front wheel makes 1.5 times the number of revolutions of the back wheel
The front wheel run 1000 revolutions less than the back wheel
The back wheel run 1000 revolutions less than the front wheel

The given rectangle is formed of six small squares. If the perimeter of the rectangle is 30 centimetres, what is its area in square centimetre?

The given diagram shows five differently coloured disks. The orange disk is above the green disk but below all the others. The purple disk is above the blue disk but below the red disk. What is the colour of the disk labeled Z ?

Red
Orange
Green
Blue
Purple

Gia’s grandfather, a watchmaker, gives her a special watch. The long hand makes one revolution per hour, and the short hand makes one revolution per 24 hours. When Gia’s favorite television show starts, the positions of the two hands are as shown. At this moment, what is the standard time?

18:20
19:20
19:25
19:30
20:25

The given menu is from a restaurant serving a buffet dinner. What is the minimum expenditure for four adults and three children under 12 to eat there?

$155
$160
$165
$180
$195

Wendy throws three cubical dice, with the numbers 1, 2, 3, 4, 5 and 6 on the faces. Which of the following numbers cannot be the product of three numbers on the dice?

Leon is given five wooden blocks:

Which of the following blocks should be added so that he can make a 4 × 4 × 4 cube? (None of the blocks can be dissected)

In the given table, the sum of the numbers on each row, each column and each of the two diagonals is the same. What is the value of B − A ÷ C × D ?

D	12	C
6	10	A
B	8	9

Answer:

In the given diagram shows the playing area of a video game Minesweepers. The blank squares and the squares with numbers contain no mines. A shaded square may contain a mine. The number on a square indicates the total number of mines in the eight squares sharing a common edge or vertex with that square. What is the total number of mines among the squares A, B, C, D and E?

Answer:

Consider all four-digit numbers using each of the digits 1, 2, 3 and 4 exactly once, possibly with a decimal point somewhere. Starting with the smallest such number, namely, 1.234, they are listed in ascending order. What is 1000 times the difference of the 23rd and the 20th numbers?

Answer:

In a row are six counters, each either black or white. Between every two adjacent counters, we place a new counter. If the two adjacent counters are of the same colour, we place a white counter. If they are of different colours, we place a black counter. Then we remove the original six counters, leaving behind a row of five counters. We now repeat this operation one more time, reducing the number of counters in the row to four. If the last four counters are all white, how many different colour patterns for the original six counters are there? An example is attached.

Answer:

Mickey lives in a city with six subway lines. Every two lines have exactly one common stop for changing lines, and no three lines meet at a common stop. His home is not at one of the common stops. One day, Mickey suddenly decides to leave home and travel on the subway, changing trains at least once at each stop before returning home. What is the minimum number of changes he has to make to accomplish this task?

Answer: