Tài liệu ôn tập khối mẫu giáo và khối lớp 1 ôn luyện cho kỳ thi Olympic Toán Học Quốc tế HKIMO. Nội dung thi là các dạng toán logic theo chuẩn chương trình học của Quốc Tế và các trường song ngữ, các trường Quốc tế tại Việt Nam.
Trang 1BỘ ĐỀ ÔN LUYỆN OLYMPIC TOÁN HỌC QUỐC TẾ HKIMO 2020
KHỐI K, P1
ĐỀ 1:
Logical Thinking
1 If tomorrow will be Monday Which day of the week will 3 days later be?
2 By observing the pattern, what is the number in the space provided?
Trang 2Arithmetic
6 Find the value of 4 + 6 + 5 + 5
7 Find the value of 15 – 5 – 1
8 If A is a 1-digit number, what is the value of A if the equation below is correct?
9 Find the value of 4 + 1 + 0 + 4 + 1 + 0 + 4 + 1 + 0
10 Refer to the puzzle, find the value of A
A +
A A
1 2
Number Theory
11 Joe has 17 candies Joe eats 2 and exchanges 5 candies with Tim for 4
chocolates Determine the sum of Joe’s candies is odd or even now
12 A set of breakfast has 2 eggs, how many eggs do 3 sets of breakfast have?
13 Fill the lines with ‘ + ’ and ‘ - ’ to make the eqution below correct (Write
down the comlete equation in the answer sheet)
Trang 31 1 2 2 = 6
14 Fill in the lines with ‘ + ‘ and ‘ – ‘ to make the equation below correct (Write
down the complete equation in the answer sheet)
5 4 2 1 = 0
15 Gwen has more marbles than Jane and fewer marbles than Kyle Jane has only
1 marble and Kyle has 3 marbles How many marbles does Gwen have ?
Geometry
16 How many square(s) is / are there in the figure below ?
17 At least how many cube(s) is / are there in the figure below ?
Trang 418 How many side(s) is / are there in the polygon below ?
19 How many interior angle(s) is / are there in the polygon below ?
20 By observing the pattern, what is the missing figure ?
- - - - - - ? - - - - -
Combinatorics
21 Separate 10 circles into 2 equal groups, how many circle(s) is / are there in
each group?
22 What is the smallest 3-digit number formed by digits 1, 2 and 0 ? (Each
number can only be used once)
23 According to the following numbers, how many odd number(s) is / are there ?
2 , 6 , 25 , 13 , 44 , 51, 19, 38
24 Which number below is the largest ?
202013, 201991, 202009, 201945
Trang 525 Arranging the following numbers in descending order (From the largest to the
28, 1, 19, 5, 24, 13
ĐỀ 2:
Logical Thinking
1 John has two sons and one daughter How many child(ren) does he have?
3 According to the pattern shown below, what is the number in the blank?
Trang 65 According to the following pattern, how many stars are there in the fourth
8 If A is an 1-digit number, what is the value of A if the equation is correct?
10 If A is an 1-digit number, what is the value of A if the equation is correct?
Number Theory
Trang 711 Hermione has 6 oranges and Harry has 4 oranges How many apples does
Hermione have to give Harry to make them have the same number of oranges?
12 Fill the lines with ‘ + ‘ and ‘ – ‘ to make the equation below correct
(Write down the complete equation in the answer sheet)
1 2 3 4 = 4
13 Fill the lines with ‘ + ‘ and ‘ – ‘ to make the equation below correct
(Write down the complete equation in the answer sheet)
4 3 5 = 6
14 Counting from 0 to 9, how many 1-digit numbers are there?
15 According to the following pattern, find the value of the next term
10, 9, 8, 7, 6,
Geometry
16 How many squares are there in the figure below?
17 At least how many cubes are there in the figure below?
Trang 818 How many pentagons (5-sided polygon) are there in the figure below?
19 Using the above figure, how many hexagons (6-sided polygon) are there in the
figure?
20 According to the pattern shown below, what is the figure in the space
provided?
Trang 924 What is the largest 3-digit number formed by 4, 8 and 6?
(Each number can only be used once)
25 Peter has 1 $1 coin, 2 $2 coins and 1 $5 coin, what is the maximum value of
souvenir that he can buy
Trang 10ĐỀ 3:
Logical Thinking
1 Jacob has three children, two of them are sons How many daughter(s) does
Jacob have?
3 According to the pattern shown below, what is the number in the box?
1
2 4
3 6 9
4 8 16
4 According to the pattern shown below, what is the number in the blank?
1 、 2 、 3 、 2 、 1 、 2 、 3 、 2 、 1 、 2 、 3 、 2 、 、 2 、…
Trang 115 According to the following pattern, how many are there in the fourth group?
8 If A is an 1-digit number, what is the value of A if the equation below is correct?
correct?
Number Theory
11 Amy has 8 apples and John has no apples How many apples does Amy have to
give John to make them have the same number of apples?
Trang 1212 Fill the lines with ‘ + ‘ and ‘ – ‘ to make the equation below correct
(Write down the complete equation in the answer sheet)
1 2 3 4 = 10
13 Fill the lines with ‘ + ‘ and ‘ – ‘ to make the equation below correct
(Write down the complete equation in the answer sheet)
Trang 1317 At least how many cubes are there in the figure below?
18 How many sides are there in the polygon below?
19 How many angles are there in the polygon below?
Trang 1420 According to the pattern shown below, what is the figure in the space
(Each number can only be used once)
is $3, how many souvenir(s) at most he can buy?
Trang 15ĐỀ 4:
Logical Thinking
8, 15, 22, _
1, 4, 2, 6, 3,
between their ages?
Trang 167 Find the value of 21 - 6 - 7
correct?
10 Refer to the puzzle, find the value of A
Number Theory
11 Peter has 23 candies Peter eats 4 and exchanges 7 candies with Alice for 4
chocolates Determine the sum of his candies is odd or even now
12 A set of breakfast has 3 eggs, how many eggs do 4 sets of breakfast have?
13 Fill the lines with ‘ + ’ and ‘ – ’ to make the equation below correct (Write
down the complete equation in the answer sheet)
14 Fill the lines with ‘ + ’ and ‘ – ’ to make the equation below correct
(Write down the complete equation in the answer sheet)
15 Peter has more candies than Alice and fewer candies than Mary Alice
has 5 candies and Mary has 7 candies How many candies does Peter have?
Trang 17Geometry
16 How many square(s) is / are there in the figure below?
17 At least how many cube(s) is / are there in the figure below?
18 How many side(s) is/ are there in the polygon below?
19 How many interior angle(s) is / are there in the polygon below?
20 By observing the pattern, what is the missing figure?
■、▲、★、■、★、▲、■、▲、？、■、★、▲
Trang 18Combinatorics
21 Separate 12 circles into 4 equal groups, how many circle(s) is / are there in
each group?
○○○○○○○○○○○○
22 What is the largest 3-digit number formed by digits 6, 3 and 7? (Each
number can only be used once)
23 According to the following numbers, how many odd number(s) is /
are there?
2, 75, 91, 72, 68, 38, 16, 41
24 Which number below is the largest?
2019609 、 2019405 、 20180221 、 2019901
25 Arranging the following numbers in descending order (From the largest to
the smallest), find the value of 2nd largest number
42, 17, 23, 50, 5
Trang 19ĐỀ 5:
Logical Thinking
How many brother(s) and sister(s) in total does Jacob have?
heaviest?
1 、4 、3 、6 、5 、8、 、…
group?
Trang 201st Group 2nd Group 3rd Group 4th Group
Arithmetic
1 、4 、9 、16 、25 、 、…
Trang 2112 Find the value of 5 + 4 + 3 + 2 + 1
have to give John to make them to have
the same number of apples?
14 Fill the lines with ‘ + ’ and ‘ – ’ to make the equation below correct (Write
down the complete equation in the answer sheet)
3 4 5 6 = 6
down the complete equation in the answer sheet)
Trang 2220 At least how many cube(s) is / are there in the figure below?
Combinatorics
provided?
□ ○ △ □ ○ △ □ △…
Trang 2325 Separate 8 stars into 2 equal groups, how many star(s) is /are there in each group?
☆☆☆☆☆☆☆☆
Trang 24ĐỀ 6:
Logical Thinking
tomorrow be?
minute(s) is/ are required for 11 students to finish the test altogether?
Trang 259 What is the number that should be filled in the blank if the equation below is correct?
56 - _ = 22
10 If B is a 1-digit number, what is the value of B if the equation is correct?
14 – B = B
Number Theory
11 Anna has 12 books and Noah has 6 books How many book(s) does Anna
have to give Noah to make them to have the same number of books?
12 Fill the lines with ‘+’ and ‘-‘ to make the equation below corect ( write down
the complete equation in the answer sheet)
2 3 4 _ 5 = 4
13 Fill the lines with ‘+’ and ‘-‘ to make the equation below corect ( write down
the complete equation in the answer sheet)
5 _7 _9 _3 = 6
14 How many two- digit odd number(s) is/ are there?
15 Determine the result of 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 is
odd or even
Geometry
16 How many quares is/ are there in the figure below?
17 At least how many cubes(s) is/ are there in the figure below?
Trang 2618 How many side(s) is/ are there in the polygon below?
numbers How many different number(s) is/ are there?
3, 3, 5, 6, 8, 9, 27, 30, 42
Trang 2724 What is the smallest 3 – digit number by choosing 3 numbers from 4,7, 3, 1
(each number can only be used one)
Trang 28ĐỀ 7:
Logical Thinking
be?
many minute(s) is / are required for 10 students to finish HKIMO Heat Round
correct?
… + 1 = 10
Trang 2910 If B is a 1-digit number, what is the value of B if the equation is correct?
Number Theory
have to give John to make them to have the same number of apples?
down the complete equation in the answer sheet)
1 3 5 7 = 2
down the complete equation in the answer sheet)
1 2 3 4 5 = 3
Geometry
Trang 3019 According to the pattern shown below, what is the figure in the space
numbers How many different number(s) is / are there?
there?
1, 1, 2, 4, 7, 13, 24, 44
0? (Each number can only be used once)
Trang 31ĐỀ 8:
Logical Thinking
How many elder brother(s) does Peter have?
Trang 325 According to the pattern shown below, how many stars are there in the fifth group?
5 + _ = 12
Trang 33Number Theory
Hermione have to give Harry to make them have the same number of oranges?
(Write down the complete equation in the answer sheet)
1 2 3 4 = 2
than 10 children in a group, how many children at most are there?
14 How many 2-digit numbers are there?
10, 8, 6, 4, 2,
Geometry
16 How many squares are there in the figure below?
Trang 3418 How many triangles are there in the figure below?
(E)
number How many odd numbers are there?
Trang 3523 There are 2 ways from school to train station and there are 4 ways from the train station to the library How many different ways from school to the library
through the train station?
can only be used once)
rubber costs $1 without change, how many ways he can pay?
Trang 36ĐỀ 9:
Logical Thinking
brother have?
dog, or a bunny Amy does not have a cat, Benny has a bunny What kind of pet does Winnie have?
ensure he can cut the cake into 4 parts?
Peter asked: “Is the number 16?”
John replied: “One digit is correct, but the position of that digit is wrong.”
Peter asked again: “Is the number 67?”
John said: “One digit is correct, but the position of that digit is wrong.”
What is the number written by John?
Trang 377 Find the value of 82 + 19 − 4𝟐
22 + _ = 30
correct?
Number Theory
to give John to make them have the same number of apples?
(Write down the complete equation in the answer sheet)
1 3 5 7 = 6
number of balloons Given every child has at least one balloon, how many balloons does the child with the most balloons have?
14 How many two-digit numbers are there that the unit digit is 0?
1, 4, 7, 10, 13,
Trang 38Geometry
16 How many squares are there in the figure below?
18 How many triangles are there in the figure below?
Trang 39
20 According to the pattern shown below, what is the figure in the space
number How many odd numbers are there?
train station to the library How many different ways from school to the library
through the train station?
can only be used once)
number How many multiples of 5 are there?
Trang 40ĐỀ 10:
Logical Thinking
daughter(s) does Peter’s father have?
many children behind her?
13th group?
Arithmetic
correct?
41 - _ = 22
Trang 41Number Theory
have to ask Alice to give him to make Peter has 2 more pencils than Alice?
2 7 5 1 = 5
down the complete equation in the answer sheet)
2 8 4 10 3 = 13
down the complete equation in the answer sheet)
58、51、44、37、30、…
even
Geometry
Trang 4218 How many interior angle(s) is / are there in the polygon below?
19 By observing the pattern, from left to right, what is the missing figure?
numbers How many different number(s) is / are there?
number of even number(s) and odd number(s)?
1, 7, 13, 14, 21, 27, 30, 45
and 3? (Each number can only be used once)
Trang 4325 Refer to the figure below, how many points can be the starting point to
drawing the picture with one stoke?
Trang 44ĐỀ 11:
Logical Thinking
does Amy have?
How old is Jenny now?
Trang 458 Find the value of 27 + 18 - 7
Amy have to give John to make them to have the same number of apples?
14 Fill the lines with ‘ + ’ and ‘ – ’ to make the equation below correct
(Write down the complete equation in the answer sheet)
1 4 5 7 = 7
of balloons At least how many balloon(s) does the student with the most balloons have?
is odd or even
Trang 4618 Find the largest 2-digit even number
Combinatorics
provided?
○ □ □ △ △ ○ □ □ △ △ ○ □ □ _ △…
Trang 4724 How many line segment(s) can be formed in the figure below?
there in each group?