Exam number 2: Choose the most suitable answer in 4 available answers... What time can she go swimming.[r]
Trang 1PRACTICE MATERIALS
FOR MATH VIOLYMPIC
GRADE 42016
Trang 2CONTENTS
CONTENTS 1
VÒNG 1 2
VÒNG 2 10
VÒNG 3 15
VÒNG 4 24
VÒNG 5 27
VÒNG 6 32
VÒNG 7 36
VÒNG 8 42
VÒNG 9 48
VÒNG 10 55
CÁC DẠNG BÀI CƠ BẢN 64
1 Chọn các ô trong bảng 64
2 Hình học 65
3 Bài toán ẩn số 65
4 Hoàn thành phép toán 66
5 Trung bình 66
6 Các bài toán về số 67
7 Toán đố 68
Trang 3VÒNG 1
Question 1:
How many days are there in September?
Answer: There are days
Trang 4How many monkeys and birds are there?
Answer:
Question 8:
Calculate: 9876 : 6 x 6 =
Question 9:
How many right angles are there?
Answer: There are right angles
Question 10:
There are 48 strawberries in 6 bags How many strawberries are there in 9 bags?
Answer: There are strawberries in 9 bags
Exam number 2: Choose the most suitable answer in 4 available answers
Question 11:
Calculate: 6723 - 2195 =
A 4258 B 4285 C 4528 D 4582
Question 12:
Trang 5Emma is 14 years old Her sister's age is 11 years more than her age How old is Emma's sister?
Answer: Emma's sister is years old
Today is Thursday, December 17
Which day of the week is the day before yesterday?
A Wednesday B Tuesday C Friday D Saturday
Question 18:
Two numbers have the product of 9315 If the product is five times as same as the greater number The smaller number is
Trang 6A 1863 B 4 C 1763 D 5
Question 19:
Chọn liên tiếp các cặp có giá trị tăng dần:
4 x 2 The smallest 2- digit
In 48 107, the digit “8” is in the…………place
Trang 7Find the perimeter of the rectangle below:
Answer: The perimeter is…… cm
Question 29:
Mrs Devi left her flat at 11.25 am and reaches Joe’s house at 1 pm How long was the journey from her flat to Joe’s house?
C 1 hour 15 minutes D 1 hour 35 minutes
Question 30:
The sum of 2 numbers is 807 If one of the number is 399, what is the other number?
Answer: the other number is……
Question 31:
Three poles measuring 140 cm, 1m 35cm and 1m 65 are placed in a straight line
What is the total length of the 3 poles?
Trang 8The smallest 3 – digit even number can be formed using all the digits 4; 2 and 3 that divided
by 6 What is the quotient?
Answer: the quotient is…………
Question 35:
Gina is 2 years 3 months older than her sister Her sister is 7 years 8 months old? How old is Gina?
(Express your answer in years and months)
A 9 years 11 months B 10 years 1 month
C 10 years D 9 years 10 months
Find the product of 567 and 5
Answer: the result is………
Question 38:
How many angles are there in the figure?
Trang 9Answer: there are …… angles
Question 39:
What is the smallest odd number that can be formed using all the digits 3; 6; 1 and 4
Answer: the smallest odd number is………
Trang 10Question 46:
Which one of the following is the shortest distance?
C 8 km D 8m 30 cm
Trang 14Answer: Her mother is……… years old now
What is the missing number?
Answer: the missing number is………
Trang 15The product of the 3 numbers is 72 If two of the numbers are 2 and 3
What is the third number?
Answer: the third number is…………
Trang 17From 1 to 10, how many numbers are odd?
Trang 18Which of the following can be the addition of four consecutive numbers?
Trang 19Question 32:
Calculate: 672g – 276g = g
Question 33:
How many years are in 3 century?
Answer: There are years
Question 34:
There are days in May
Question 35:
Emily writes down how many kilometers she walked each day
Monday Tuesday Wednesday Thursday Friday Saturday Sunday
Trang 21A 89 B 86 C 85 D 79
Question 46:
Today is September 2nd, four days ago is
A August 28th B August 30th C August 29th D August 27th
Trang 22Fill in the blank:
Number “seven thousand” is written as………
Question 58:
A square has an area of 81 cm2 Find the perimeter of the square
Answer: the perimeter of the square is ………cm
Trang 23Fill the suitable digit in the blank:
John bought 2 books, 3 erasers and 4 pencils for $87
The cost of 1 book and 2 pencils was $21
What was the cost of one eraser?
Answer: The cost of one eraser is $
Question 66:
One case can hold 4 boxes, each box can hold 4 binders
How many cases are needed to hold 256 binders?
Trang 24Answer: numbers
Question 71:
There are 56 apples in a basket 1
4 of them are green and the rest are red How many red apples are there?
Answer: There are _ red apples
Anna has 206 stickers and Mary has 78 stickers How many stickers must Anna give to Mary
so that they have the same number of stickers?
Answer: _stickers
Question 75:
Mr Junior bought 1 magazine, 1 book and 1 pen The pen costs 5 dollar The book costs 31 dollar more than the pen The magazine costs twice as much as the book How much did he spend on the three things?
Answer: he spent dollar
Question 76:
If A is divided by 9 then the sum of the quotient and 9 is the greatest 2 – digit number Find the value of A
Answer: A = _
Trang 29The sum of all the numbers from 8 to 11 is
Question 13:
There are 12 red pencils, 13 blue pencils and 11 yellow pencils in a box of colour pencils How many red pencils are there in 20 boxes of colour pencils? Answer: pencils
Trang 31The sum of two numbers is 76 and their difference is 22
The smaller number is
Question 33:
When N is divided by 12, the remainder is 9
When N is divided by 6, the remainder is
Trang 32Question 36:
Sắp xếp theo thứ tự tăng dần
Trang 35Sophia has three $100 notes She also has six $10 notes and ten $2 notes
How much money does she have in total?
Answer:
She has $
Question 33:
One pack of pencils has 11 pencils Two other packs have 15 pencils each
The total number of pencils in these three packs is pencils
Question 34:
Find the value of x such that x : 7 = 3152
Answer: x =
Question 35:
The sum of two numbers is 372 and their difference is 102
The smaller number is
Trang 36Peter earns $15214 per month and Jane earns $14786 per month
How much do they earn per 10 months together?
Trang 37VÒNG 7
Question 1:
Mary is 12 years old Her father is 4 times as old as she
Their average age is years old
Question 2:
Finding the missing number:
37254 = thousands + 2 hundreds + 5 tens + 4 ones
The number of values of x such that 1x248 < 15239 are
Dùng dấu ";" để ngăn cách giữa các giá trị
Trang 38The table below shows the height of four students
1m 5dm 1m 49cm 155cm 1m 47cm
Trang 39Jack Mary Peter Anna
1m 5dm 1m 49cm 155cm 1m 47cm
Who is the tallest?
Trang 42John has 15 candies and Tom has 31 candies How many candies does Tom need to give to John so that each boy will have the same number of candies?
Question 40:
Choose the best answer to fill the "??" mark
Trang 43What could you add to 35 to make 60?
Answer: This number is
Trang 45b They are the same
c 7245 + 1450
d 7250 + 1445
Question 14:
John played a total of 30 soccer games during the months of June, July and August
He played 9 games in June and 10 in July Which month did he play the most games?
Trang 48Which of the following lists the fractions 1/9; 2/7; 4/16; 2/9; and 1/8 in order from the least to greatest?
Trang 49VÒNG 9
Question 1:
Mary reads four books every month She is busy and reads only one book on March On September, she takes a break and does not read any books What is the number of books that Anna reads in one year?
Answer: She reads books
If 324/483 = 108/x then the value of x is
Exam number 2: Help the Miners to go through the maze by answering questions to reach the destination (Đi tìm kho báu)
Trang 51Jane bought 4 products on 2 types Their price was shown in the table:
She paid $80 and had $5 left
How many products on type 1 did she buy?
a Anna's car weighs 25/6 tons more than Sara's car
b Sara's car weighs 25/6 tons more than Anna's car
c Anna's car weighs 23/6 tons more than Sara's car
d Sara's car weighs 23/6 tons more than Anna's car
Trang 52Bob buys three times as many apples as Peter Mia buys 7 apples more than Bob and 19 apples more than Peter How many apples do they buy together? Choose the correct answer
a 26 apples b 37 apples c 49 apples d 51 apples
Let M = 91011121314 (M is written by consecutive natural numbers)
If M has 175 digits then when M divided by 5, the remaider is
Answer: oranges
Trang 53Five students do an exam with a maximum score of 50 The scores of four of the students are
41, 44, 46 and 49 The average of five students’ scores is the same as the score of the fifth student The score of the fifth student is
The symbol is evaluated as 4 x 7 – 3 x 6 = 10
If is evaluated as 29 then the number that should be replaced in the question mark is ………
Question 37:
The are of a rectangular garden is 36m2 Its has a length of 9m Its perimeter, in metres, is
………
Question 38:
Trang 54Last year, Bob’s age is divided by 7 This year, his age is divisible by 5 In how many years will Bob be 27 years old?
Trang 55a 180 b 20 c 30 d 60
Question 46:
The digits 1, 2, 3, 4, 5 and 6 are each placed in one of the boxes so that the resulting product
is correct If each of the six digits is used exactly once, the digit represented by’?” is
Trang 56The area of a rectangle increased by 57cm2 when each side increases by 3cm The perimeter
of the origial rectangle is cm
Trang 57Answer:
Question 10:
The sum of the digits of all 2-digit numbers is
Exam number 2: Choose the most suitable answer in 4 available answers (Cóc vàng tài ba)
Which of the following is the number 2,003,047?
a Two million, three thousand, fourty seven
b Two million, thirty thousand, four seven
c Two million, three thousand, four seven
d Two million, thirty thousand, fourty seven
Question 14:
Find the value of
The value of A is
Trang 58Find the value of B = 2016 x 20152015 - 2015 x 20162015
Answer: The value of B is
Trang 59How many triangles in the following figure?
Answer: There are triangles
Question 24:
Find the value of digit x if 2006 < 20x5 < 2041 and 20x5 is divisible by 3?
Answer: The value of x is
Question 25:
Find the greatest natural number m such that:
Answer: m =
Trang 60Exam number 1: Choose the most suitable answer in 4 available answers
Anna bought 40 jellybeans Which statement is incorrect?
a She can divide the beans equally into five groups
b She can divide the beans equally into groups of 2
c She can divide the beans equally into groups of 4
d She can divide the beans equally into three groups
Trang 61In the following expression: 20 - 16 + 7 : 36 x 12, if "+" means "x"; "-" means "+"; ":" means
"-" and "x" means ":" the its value is
Question 33:
Donald Trump has 19 grandchildren, all of different ages Anna is the eldest The sum of ages
of all grandchildren is 190 At least how old is Anna?
Question 34:
A square floor is tiled with congruent square tiles The tiles on the two diagonals of the floor are black The rest of the tiles are white If there are 201 black tiles then the total number of white tiles is
Trang 63Which of the following diagrams is different from the others?
Question 48:
In a restaurant, there are 17 tables, each with 3, 4 or 6 chairs The tables with 3 or 4 chairs can accommodate 44 people The restaurant can accommodate 74 people How many tables are there with 3 chairs?
Answer: tables
Question 49:
Bella thinks of two consecutive numbers in the range 1 to 6 She tells Alice one of the numbers and Jack the other Alice and Jack have the following conversation:
Jack: I don't know your number
Alice: I don't know your number, too
Jack: Now I know!
The pair of numbers which Bella think of could be
Trang 662.5 The area of a rectangle is 135m2 The width equals 3/5 of the length Find the perimeter
2.6 The perimeter of a rectangular yard is 110m If the width increases by 5m, the yard becomes a square Find the area of the rectangular yard
2.7 The perimeter of a rectangle is 150m If the length decreases by 10m and the width increases by 5m, the new length is 4 times of the new width Find the area of the rectangle
2.8 The length of a rectangle is 4 times of the width If the length increases by 5m and the width decreases by 5m, the area decreases by 256m2 Find the area of the rectangle
3.7 Find y such that y x 4 + 35719 = 45779
3.8 Find k such that k : 3 x 4 + 2746 = 5362
3.9 M is the sum of all 1-digit number Find M
Trang 67Definition: average (trung bình)
5.1 Find the average of all whole numbers from 1 to 17
Trang 685.2 Mai made cakes in 2 days On the first day, she made 50 cakes On the second day, she made 20 cakes more than the first day How many cakes did she make on each day on average?
5.3 A group of truck carried goods in 2 trips In the first trip, there were 5 trucks and each carried 315kg of goods In the second trip, there were 4 trucks and each carried 225kg of goods How many kilograms of goods did each truck carry on average? 5.4 3 groups of men planted trees Group 1 had 3 men and each planted 72 trees Group 2 had 4 men and each planted 65 trees Group 3 had 3 men and each planted 68 trees How many trees did each man plant on average?
5.5 Tri, Manh, Tai collected waste paper Tri collected 24kg, Manh collected 20kg and Tai collected 4kg more than Tri How many kilograms of waste paper did each boy collect on average?
5.6 After 3 Math tests, Binh’s average score was 5 What score does he need to score in the next test so that his average Math score is 6?
5.7 A car travelled in 6 hours During the first 3 hours, it travelled 42km in each hour In the next 2 hours, it travelled 38km in each hour How long did it travel in the last hour? Given that it travelled 41km per hour on average
5.8 Find the average of all 2-digit odd numbers greater than 79
5.9 Find the average of all 3-digit even numbers
6 Các bài toán về số
Definition: digit (chữ số), fraction (phân số), numerator (tử số), denominator (mẫu số),
whole number (số tự nhiên), odd (lẻ), even (chẵn), divisible (chia hết), remainder (số dư), ones (đơn vị), tens (chục), hundreds (trăm), thousands (nghìn)
6.1 A number has 80 thousands, 6 hundreds and 2 ones What is the number?
6.2 When writing digit 5 to the left of a 3-digit number, how many ones is the new number more than the old one?
6.3 The sum of all digits of a 3-digit number is 26 When swapping 2 digits in hundreds and ones places, the number does not change Find the number
6.4 How many odd numbers are there in a series of whole numbers from 325 to 796? 6.5 A = 1 x 2 x 3 x 4 x 5 x 6 + 63 : 9 Without calculating, find the last digit of A
6.6 How many even numbers are there in a series of whole numbers from 324 to 987? 6.7 Write number 862305 in words