The stretch of road leading to Cindy’s house is to be planted with some trees at regular intervals of 15m, and trees are planted at opposite ends of the road.. If the road is 900m long, [r]
(1)(2)(3)(4)(5)(6)For more information, click on
(7)(8)(9)(10)(11)(12)(13)Instructors:
Dr T ran
Nam
Dung,
Dr L
e Minh
Tuan
TRAINING COURSE FOR AMO 2019
PREPARE FOR AMO 2019 - GRADE 5 Week
Introduction: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 not have any drafts out of the blank spaces in the test paper
For more information, visit our official pages: https://www.facebook.com/amovietnam2018/ or https://www facebook.com/giaoductienphong/
Exercise 1. A van was travelling from Town A to Town B If it increased its speed by 15 km/h, it would take hours, instead of hours, to reach Town B Find the distance between the two towns
(14)Instructors:
Dr T ran
Nam
Dung,
Dr L
e Minh
Tuan
Exercise 2. Alan and Ben were having a ninety-meter race When Alan was 26m away from the finishing point, Ben was 8m ahead of him How far was Alan from the finishing line when Ben finished the race?
Exercise 3. Peter was walking from the library to the mall At the same time, Jane was walking from the mall to the library on the same road They met minutes later Given that their walking speeds were 60m/min and 50 m/min respectively, what was the distance between the library and the mall?
(15)Instructors:
Dr T ran
Nam
Dung,
Dr L
e Minh
Tuan
Exercise 4. In a building, there are 25 steps in the staircase leading from one storey to another How many steps are there from the second to the tenth storey in that building? (Assume the number of steps in the staircase is the same)
Exercise 5. The stretch of road leading to Cindy’s house is to be planted with some trees at regular intervals of 15m, and trees are planted at opposite ends of the road If the road is 900m long, how many trees are to be planted along that stretch of road?
(16)Instructors:
Dr T ran
Nam
Dung,
Dr L
e Minh
Tuan
Exercise 6. Lamp posts are planted at regular intervals of 30 m along a 1800-metre road If the lamp posts are placed at opposite ends of the road, how many lamp posts are placed along the road?
Exercise 7. How many ways are there to go from point A to point B following the movements of
→and↓?
(17)Instructors:
Dr T ran
Nam
Dung,
Dr L
e Minh
Tuan
Exercise 8. An expo hall is divided into 24 rooms as shown In how many ways can you walk from
Room A to Room B while passing through Room P? [Hint: Follow the movements of→and↓]
(18)Instructors:
Dr T ran
Nam
Dung,
Dr L
e Minh
Tuan
Exercise 9. How many shortest paths are there from A to B that pass through P without passing through Q?
ANSWER KEY
Exercise 1. 300 Exercise 2. 010 Exercise 3. 550 Exercise 4. 200 Exercise 5. 061 Exercise 6. 061 Exercise 7. 070 Exercise 8. 018 Exercise 9. 027
(19)Instructors:
Dr T ran
Nam
Dung,
Dr L
e Minh
Tuan
TRAINING COURSE FOR AMO 2019
PREPARE FOR AMO 2019 - GRADE 5
Week
Introduction: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 not have any drafts out of the blank spaces in the test paper
For more information, visit our official pages: https://www.facebook.com/amovietnam2018/ or https://www facebook.com/giaoductienphong/
Exercise 1. Where
7 =
x
63 What is value of x?
Exercise 2. The Cheshire Senior Center is hosting the bingo night; $2400 in prize money will be given away The first winner of the night will receive
3 of the money The next ten winners will
receive
10 of the remaining amount How many dollars will each of the ten winners receive?
(20)Instructors:
Dr T ran
Nam
Dung,
Dr L
e Minh
Tuan
Exercise 3. Joey, Aaron, Barbara, and Stu have been collecting pennies and putting them in iden-tical containers Joey’s container is
4 full, Aaron’s is
5 full, Barbara’s is
3, and Stu’s is
5 full Find
the sum of the numerator and the denominator of the person has the most pennies?
Exercise 4. What percent of the figure below is shaded?
(21)Instructors:
Dr T ran
Nam
Dung,
Dr L
e Minh
Tuan
Exercise 5. Michelle purchases a vocation home with her sisters Michelle has $40,000 invested in the property, which is worth $400,000 What percent of the property does Machelle own?
Exercise 6. Kyra’s weekly wages are $800 A Social Security tax of 5% and a State Disability Insurance of 2% are taken out of her wages What is her weekly paycheck, assuming there are no other deductions?
(22)Instructors:
Dr T ran
Nam
Dung,
Dr L
e Minh
Tuan
Exercise 7. Among Kim and two other friends, Bernice is the lightest and Sabrina is the heaviest The table below shows the total weight of two girls weighing themselves
1st reading 45 kg
2nd reading 55 kg
3rdreading 50 kg Find the weight of Sabrina ?
Exercise 8. Mr Wood and Mr Smith each have two children below years old Below shows some information about their children
• Mike is years younger than his brother • Royston is the oldest among the four children • Sean’s age is half of Mr Wood’s child’s age
• Jack is year older than Mr Smith’s younger child • Each family had only one child three years ago
If the ages of the children are different, can you find Jack’s age?
(23)Instructors:
Dr T ran
Nam
Dung,
Dr L
e Minh
Tuan
Exercise 9. Four teams are competing against one another for District Volleyball Championship Every team must play exactly once against the other three teams So far, Team A has played matches, Team B has played matches and Team D has played match How many matches has Team C played?
ANSWER KEY
Exercise 1. 027
Exercise 2. 160
Exercise 3. 135
Exercise 4. 075
Exercise 5. 035
Exercise 6. 744
Exercise 7. 030
Exercise 8. 002
Exercise 9. 002
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