2017 年奧海盃數學競賽 Vast Ocean Cup Mathematics Competition Grade 2 Student Name: Contestant No: School Name: There are 24 problems in this paper. The full score of this test is 120. You have 60 minutes to finish it. Part A: 8 Multiple Choices I. Multiple Choices (Each carries 5 points) Q 1 2 3 4 5 6 7 8 Score A 1. You have 3 quarters, 4 dimes, 2 nickels and 5 pennies. After buying a $1
hotdog, what is the fewest number of coins you can have left?
A) 2
B) 3
C) 4
D) 45
2. The following is the school ends time and the time it takes to go home for
each student. Who will be the first one to reach home?
Lily
Patrick
Jacob
Sarah
A) Lily
School ends
4:15pm
4:30pm
3:45pm
4:00pm
B) Patrick
Means
by train
by car
by bus
by school bus
Travel time
25 minutes
10 minutes
50 minutes
30 minutes
C) Jacob
D) Sarah
1 3. A clown had 52 balloons. One balloon flew away. Then, the clown
distributed the remaining equally among Joey and the other 5 children. After
that, some children would get more balloons than the others. How many
children would have one balloon more than the others?
A) 2
B) 3
C) 4
D) 5
4. How many sides does a hexagonal prism have?
A) 18
B) 24
C) 30
D) 36
5. o, u, ², ∆ each represents a value.
o − 20 = ∆ +10 = u + 20 = ² − 10
Which of the following shape has the smallest value?
A) o
B) ∆
C) u
D) ²
6. Look at the figure below. How many different rectangles are there?
A) 6
B) 7
C) 10
D) 12
7. Eric has 9 bags of books and each bag has 8 books in it. He rearranges
the books into 3 new bags. Each new bag has a different number of
books. In the bag with the least books, at most how many books are
there?
A) 18
B) 19
C) 20
D) 21
2 8. There are a line queuing to enter a cinema. Judy stands last in the line
and Hector is the 4th counting from the front. Judy walks towards the
front of the line and joins back to the line after passing 10 people.
Now, she is just standing right in front of Hector. How many people
are here in the line?
A) 10
II. B) 12
C) 14
D) 16
Arithmetic problems (Each carries 3 points) Calculate:
9.
2457 + 2905 = ___________
10.
4036 − 1879 = ___________
11.
267 + 1028 + 433 = _________
12.
5789 − 2076 − 289 = ___________
13.
4 × 8 = ___________
15.
9 × 4 = _____ × 6
17.
8 × 5 × 4 × 5 = ___________
18.
If A ⊗ B = A × B − A − B, then 3 ⊗ 3 ⊗ 3 = ___________
14.
16.
72 ÷ 8 =_________
375 ÷ 5 ÷ 5 = ___________
III. Short Answers (Each carries 3 points) 19. Look at the numbers below and fill in the blanks.
24 ，97，117，58，37，185，191，23，132 (a) Among the numbers above, the sum of the largest even number and
the smallest odd number is __________.
(b) Among the numbers above, the difference of the second largest odd
number and the second smallest even number is ___________.
3 20. A grocery store has 876 apples on the shelf. 524 of those are red
apples and the rest are green apples.
(a) The store owner has to place _______ more green apples
on the shelf so that the number of green apples and the number of red
apples would be the same.
(b) The store owner has to replace _______ red apples with green apples
so that the number of green apples and the number of red apples
would be the same.
21. Victor went to a stationery store with $185 in pocket. A pencil bag costs $15
each and a pen costs $7 each.
(a) After Victor bought 3 pencil bags, how many pens he could
buy at most? _________
(b) The pencil bag is now on sale with a “Buy 2 Get 1 Free”
discount. However, a pen now costs $2 more than before. After Victor
bought 3 pencil bags, he used the rest of the money to buy the pens.
How many pens he could buy at most? ___________
22. There are 30 cars queuing to enter a garage. Counting from the front, Carl’s car
is the 8th and Eva’s car is the 15th.
(a)
Eva’s car is the ________ counting from the back.
(b)
There are ________ cars between your Carl’s and Eva’s cars.
(c)
If Andy’s car is the 7th counting from the back, there are
________cars between Carl’s and Andy’s cars.
4 23. The right figure is a Bingo sheet.
The rule is to circle the number that the host shouts. You will win
the game if there are 5 numbers being circled within a row, column
or diagonal. The host will only shout each number once.
Up to how many numbers can the host shout without you winning?__________
IV. Challenge (Each carries 10 points) 24. There is a store that only sells 9 kinds of products.
The price of each item is listed below:
$9 , $18 , $27 , $36 , $45 , $54 ,
$63 ,
$72 ,
$81
(a)
If Haley buys one of each of the item, she has to pay $_________.
(b)
Yuri has $500. After the shopping, she finds that she couldn't buy
any item from the store using the money remains. She has
$________remaining.
(c)
Thomas bought two different items in the store. In how many
different amounts could he pay for two different items? _________
(d)
Alfie used $99 to buy the items. Each item he bought is different.
In how many different ways could he buy the items?
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