Tài liệu ôn thi toán AMO lớp 2, 3 năm 2019 | Kỳ thi toán AMO 2019

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For more information, click on

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<b>Instructors:</b>

<b>Dr</b>

<b>. T</b>

<b>ran</b>

<b>Nam</b>

<b>Dung,</b>

<b>Dr</b>

<b>. L</b>

<b>e</b>

<b>Minh</b>

<b>Tuan</b>

<b>TRAINING COURSE FOR AMO 2019</b>

<b>PREPARE FOR AMO 2019 - GRADE 3</b>

Week 3

<b>Introduction:</b>This problem set is to help students get used to the problems appearing in AMO. Students should finish this set in
30 minutes.

The space after each question is intentionally left blank for students to draft. In the real test, students do not have any drafts out of
the blank spaces in the test paper.

For more information, visit our official pages: or https://www.

facebook.com/giaoductienphong/.

<b>Exercise 1.</b> Jenny takes a short nap after school. As she falls asleep the clock reads 3:03 p.m. She
wakes up at 4:25 p.m. How many minutes does Jenny take a nap?

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<b>Instructors:</b>

<b>Dr</b>

<b>. T</b>

<b>ran</b>

<b>Nam</b>

<b>Dung,</b>

<b>Dr</b>

<b>. L</b>

<b>e</b>

<b>Minh</b>

<b>Tuan</b>

<b>Exercise 2.</b> Read the clues to find the secret number.

3 4 5

6 7 8

2
5

4
7

1
3 5 6

It is in both the rectangle and the circle.
It is not in the triangle. It is greater than 5.
What number is it?

<b>Exercise 3.</b> Linda used 1m 40cm of red ribbon and 4m 38cm of blue ribbon to make a flower. How
much ribbon did she use in all, in centimeters?

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<b>Instructors:</b>

<b>Dr</b>

<b>. T</b>

<b>ran</b>

<b>Nam</b>

<b>Dung,</b>

<b>Dr</b>

<b>. L</b>

<b>e</b>

<b>Minh</b>

<b>Tuan</b>

<b>Exercise 4.</b> Jack has a lot of homework to do. He starts his reading homework at 3:40 and ends

at 4:30. Then he does math from 4:30 until 5:00. Lastly, he studies for a science test from 5:00
-5:30. How many minutes did Jack spend on his homework and studying?

<b>Exercise 5.</b> Suppose you are visiting an island with knights, who always tell the truth, and knaves,
who always lie.

You ask an islander a question. Which question has a guaranteed answer of "no"?
A.<i>"Are you a knave?"</i>

B.<i>"Are you a knight?"</i>

C.<i>"Does 1 + 1 = 3?"</i>

D.<i>"Does 1 + 1 = 2?"</i>

In your answer sheet, write 001 for A, 002 for B, 003 for C and 004 for D.

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<b>Instructors:</b>

<b>Dr</b>

<b>. T</b>

<b>ran</b>

<b>Nam</b>

<b>Dung,</b>

<b>Dr</b>

<b>. L</b>

<b>e</b>

<b>Minh</b>

<b>Tuan</b>

<b>Exercise 6.</b> John has a 24 centimeters long piece of wood. He wants to cut it into 3 equal lengths.
How long should each piece be in millimeters?

<b>Exercise 7.</b> On Saturday, I spent 75 minutes on my science project and 40 minutes on my English
homework. On Sunday morning, I spent a total of 100 minutes on my homework. What is the
difference between the amount of homework I did on Saturday and Sunday morning, in seconds?

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<b>Instructors:</b>

<b>Dr</b>

<b>. T</b>

<b>ran</b>

<b>Nam</b>

<b>Dung,</b>

<b>Dr</b>

<b>. L</b>

<b>e</b>

<b>Minh</b>

<b>Tuan</b>

<b>Exercise 8.</b> Sylvia has 5 balls of yarn. Each ball has 1 m 65 cm of yarn. She uses three balls of yarn
for a craft project. How many centimetres of yarn has she left?

<b>Exercise 9.</b> A lion and a unicorn in a forest of forgetfulness are strange beings:

The lion lies on Monday, Tuesday and Wednesday and tells the truth on the other days.
The unicorn lies on Thursdays, Fridays and Saturdays and tells the truth on the other days.
One day, they talked to each other.

Lion:<i>”Yesterday I was lying.”</i>

Unicorn:<i>”So was I.”</i>

On which day did they say that?

In your answer sheet, write 001 for Sunday, 002 for Monday, 003 for Tuesday, 004 for Wednesday,
005 for Thursday, 006 for Friday, 007 for Saturday.

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<b>Instructors:</b>

<b>Dr</b>

<b>. T</b>

<b>ran</b>

<b>Nam</b>

<b>Dung,</b>

<b>Dr</b>

<b>. L</b>

<b>e</b>

<b>Minh</b>

<b>Tuan</b>

<b>ANSWER KEY</b>

<b>Exercise 1.</b> 82 <b>Exercise 2.</b> 7 <b>Exercise 3.</b> 578

<b>Exercise 4.</b> 110 <b>Exercise 5.</b> 001 <b>Exercise 6.</b> 80

<b>Exercise 7.</b> 900 <b>Exercise 8.</b> 330 <b>Exercise 9.</b> 005

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<b>Instructors:</b>

<b>Dr</b>

<b>. T</b>

<b>ran</b>

<b>Nam</b>

<b>Dung,</b>

<b>Dr</b>

<b>. L</b>

<b>e</b>

<b>Minh</b>

<b>Tuan</b>

<b>TRAINING COURSE FOR AMO 2019</b>

<b>PREPARE FOR AMO 2019 - GRADE 3</b>

Week 4

<b>Introduction:</b>This problem set is to help students get used to the problems appearing in AMO. Students should finish this set in
30 minutes.

The space after each question is intentionally left blank for students to draft. In the real test, students do not have any drafts out of
the blank spaces in the test paper.

For more information, visit our official pages: or https://www.
facebook.com/giaoductienphong/.

<b>Exercise 1.</b> A box of milk costs $2.90 and a package of bacon costs $3.10. How many cents does
it cost to buy 2 boxes of milk and 1 package of bacon?

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<b>Instructors:</b>

<b>Dr</b>

<b>. T</b>

<b>ran</b>

<b>Nam</b>

<b>Dung,</b>

<b>Dr</b>

<b>. L</b>

<b>e</b>

<b>Minh</b>

<b>Tuan</b>

<b>Exercise 2.</b> Jenny bought a jacket for $73.50, a shirt for $26.50 and 4 pens costing $9 each. How
many dollars did she spend?

<b>Exercise 3.</b> If Sue has $30.3 to spend on presents and she buys a teddy bear for $2.40, a dress for
$7.6, and a gift card for $15.3. How many pennies does she have left over?

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<b>Instructors:</b>

<b>Dr</b>

<b>. T</b>

<b>ran</b>

<b>Nam</b>

<b>Dung,</b>

<b>Dr</b>

<b>. L</b>

<b>e</b>

<b>Minh</b>

<b>Tuan</b>

<b>Exercise 4.</b> Marian baked bread, cookies and pastries one Saturday at home for her family and
friends this holiday season. She made 47 gingerbread cookies which she will distribute equally in
tiny glass jars. If each jar contained exactly six cookies, how many cookies would not be placed in
a jar?

<b>Exercise 5.</b> 45 sweets are given to Albert, Ben, Charles and Dennis in this manner:
Albert Ben Charles Dennis

4 3 2 1

8 7 6 5

... ... ... ...
Who will get the last sweet?

In your answer sheet, write 001 for Albert, 002 for Ben, 003 for Charles and 004 for Dennis.

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<b>Instructors:</b>

<b>Dr</b>

<b>. T</b>

<b>ran</b>

<b>Nam</b>

<b>Dung,</b>

<b>Dr</b>

<b>. L</b>

<b>e</b>

<b>Minh</b>

<b>Tuan</b>

<b>Exercise 6.</b> How many three-digit counting numbers whose digits are 9, 2, and 1 are there?

<b>Exercise 7.</b> The Johnson family is planning a summer vacation. They are trying to decide whether
to travel by plane, train or car. They will go to Florida, California or Mexico. They can stay in a
hotel or with friends. What are all the different trips that the Smiths could plan?

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<b>Instructors:</b>

<b>Dr</b>

<b>. T</b>

<b>ran</b>

<b>Nam</b>

<b>Dung,</b>

<b>Dr</b>

<b>. L</b>

<b>e</b>

<b>Minh</b>

<b>Tuan</b>

<b>Exercise 8.</b> What is the sum of the first 33 numbers in the sequence below?
2,0,1,9,2,0,1,9,2,0,1,9, ...

<b>Exercise 9.</b> A string of numbers is arranged in the following pattern:

2,4,6,3,5,7,2,4,6,3,5,7, . . .

What is the digit of the28th number?

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<b>Instructors:</b>

<b>Dr</b>

<b>. T</b>

<b>ran</b>

<b>Nam</b>

<b>Dung,</b>

<b>Dr</b>

<b>. L</b>

<b>e</b>

<b>Minh</b>

<b>Tuan</b>

<b>ANSWER KEY</b>

<b>Exercise 1.</b> 890 <b>Exercise 2.</b> 136 <b>Exercise 3.</b> 500

<b>Exercise 4.</b> 5 <b>Exercise 5.</b> 004 <b>Exercise 6.</b> 6

<b>Exercise 7.</b> 18 <b>Exercise 8.</b> 98 <b>Exercise 9.</b> 3

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