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Các bạn có thể tải toàn bộ Đề và đáp án vòng 1 thi Toán trực tuyến quốc tế (Global ViOlympic) trình độ tiểu học (Primary) năm học 2015 - 2016 tại đây.

Exam number 1: Fill in the blank with the correct number

Question 7:
100 hundreds + 1000 tens = 20000 ones

Bài giải chi tiết:
100 x 100 + 1000 x 10 = 10000 + 10000 = 20000

Question 5:
A set of five different numbers has an average of 12. If the average of four smallest numbers is 10 then the greatest number is 20

Bài giải chi tiết:
Tổng của 5 số khác nhau là: 12 x 5 = 60
Tổng của 4 số nhỏ nhất là: 10 x 4 = 40
Số lớn nhất trong 5 số trên là: 60 - 40 = 20

Question 2:
Divide 2016×2016 by 2016. The quotient is 2016

Question 1:
Express seventy thousand, four hundred and nine in numerals.
Answer: 70409

Question 5:
If two dozen pencils cost 12 dollars then 4 pencils cost 2 dollars.

2 tá (viết chì = 24 cây) giá 12 dollar
Giá 1 cây viết chì là: 12 : 24 = ½ dollar
2 dollar mua được số viết chì là: 2 x ½ = 4 (cây)

Question 10:
If we write all of the whole numbers from 10 through 99 and cross out any number in which the first or second digit is divisible by 2 (for example, 41 is crossed out as 4 is divisible by 2 and 36 is crossed out as 6 is divisible by 2), how many numbers are crossed out?
Answer: 65 numbers.

Bài giải chi tiết:
Các nhóm các chữ số hàng chục là chữ số lẻ: 10; 11; 12; ....; 19. Mỗi nhóm có (18 - 10) : 2 + 1 = 5 số có tính chất như vậy.
Từ 10 đến 99 có 5 nhóm chữ số hàng chục lẻ nên có 5 x 5 = 25 số có tính chất trên.
Các nhóm chữ số hàng chục chẵn: 20; 21; 22; 23; ...;29. Mỗi nhóm có: (29 - 20) : 1 + 1 = 10 số có tính chất như vậy.
Từ 10 đến 99 có 4 nhóm chữ số hàng chục chẵn nên có 10 x 4 = 40 số có tính chất trên.
Vậy có tất cả: 25 + 40 = 65 số có chữ số hàng chục hoặc hàng đơn vị chia hết cho 2.

Question 10:
It takes Bella three hours to clean a house. It takes Anna two hours to clean the house. How long would it take for them to clean it together?
Answer: 72 minutes.

Bài giải chi tiết:
Mỗi giờ Bella làm sạch được: 1: 3 = 1/3 ngôi nhà
Mỗi giờ Anna làm sạch được: 1: 2 = 1/2 ngôi nhà
Mỗi giờ cả 2 bạn làm sạch được: 1/3 + 1/2 = 5/6 ngôi nhà
Cả hai bạn làm chung trong thời gian là: 1 : 5/6 = 6/5 giờ = 72 phút

Question 6:
Jack, Mary and Jacob buy ice creams. Jack buys twice as many as Mary. Jacob buys three times as many as Jack. If Jacob buys 12 ice creams then Mary buys 2 ice creams.

Question 8:
My giant flower doubles its size every day. On Friday, it is 32 times as big as its was on the preceding Sunday.

Bài giải chi tiết:
Số ngày từ Chủ nhật đến thứ Sáu là: 5 ngày.
Mỗi một ngày cây hoa khổng lồ sẽ tăng gấp đôi kích thước cho nên sau 5 ngày cây này sẽ tăng gấp: 2 x 2 x 2 x 2 x 2 = 32 (lần)

Question 9:
Peter and John played in fifteen rounds game. In each round, the winner scored 5 points and the loser scored 2 points. At the end of the game, John’s total score was 57 points. How many rounds did Peter win?
Answer: 6 rounds.

Bài giải chi tiết:
Giả sử 15 vòng John đều thắng thì tổng số điểm của John là: 5 x 15 = 75 điểm.
Số điểm dôi ra là: 75 - 57 = 18 điểm.
Chênh lệch điểm giữa thắng và thua là: 5 - 2 = 3 điểm.
Số vòng mà John thua là: 18 : 3 = 6 vòng
Như vậy Peter đã thắng 6 vòng.

Question 3:
Study the pattern.
88:8=11  
880:8=110
8800:8= ?
The missing number is 1100

Question 4:
Subtract 346 from 752.
Answer: 406

Question 7:
The product of 2 different natural numbers is 9. Their sum is 10

Bài giải chi tiết:
Tích của hai số tự nhiên khác nhau bằng 9 đó là: 1 x 9 = 9
Vậy tổng là: 1 + 9 = 10

Question 6:
The ratio of boys to girls at a school is 5:4. If there are 255 boys at the school then how many students are there at the school?
Answer: 459 students.

Bài giải chi tiết:
Số học sinh nữ là: 255 x 4 : 5 = 204 (học sinh)
Tổng số học sinh toàn trường là: 255 + 204 = 459 (học sinh)

Question 1:
What is 1/6 of 744?
Answer: 124

Exam number 2: Chọn cặp bằng nhau




Exam number 3: Talented Golden Toad

Add 29 to the greatest two - digit number then dividing the sum by 4 we get … Answer: 32

Anna draws bows: a yellow one, then a blue, then a red, then a black, then a yellow, a ble, a red, a black, and so on … What colour is the 2016th bow?  

Answer: Black

Bob has   of a pizza. He eats 1/3 of original pizza at breakfast. What fraction of the original pizza does he have left? Answer: 7/24

How many pairs of parallel lines are there in this figure?


Answer: 8

In this figure, MNPQ is a square. Each its side is 13cm long. MGHQ is a rectangle. Its width is 10cm shorter than its length. The perimeter of the rectangle GNPH is …

Answer: 46cm

Jeff, Josh and justin have 4 apples in total. In how many ways can it happen? (It is possible that not each of them has an apple). Answer: 15 ways

My birrthday is one day after Monday. Three days before my birthday was ... Answer: Saturday

The greatest fraction in the following group is … Answer: 5/6

The perimeter of a square is 64cm. How long is each its side? Answer: 16cm

The smallest natural number divisible by both 5 and 8 is … Answer: 0

What times is 25 minutes after 6:45? Answer: 7:10

When I look at the alphabet, I see that a letter has four times as many letters after it as before it. The letter is … Answer: U

Which of the following is not equal to 18/4? Answer: (36+1)/(8+1)
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Các bạn có thể tải toàn bộ Đề và đáp án vòng 2 thi Toán trực tuyến quốc tế (Global ViOlympic) trình độ tiểu học (Primary) năm học 2015 - 2016 tại đây.

Exam number 1: Intellectual peaks

… minutes = 3/5 hours. The missing number is … Answer: 36

(20+16+ 12 + 8 + 4) : (5 + 4 + 3 + 2 + 1) = … Answer: 4

Anna had 13 marbles. Her dad gave her 12 more marbles. How many marbles does she have now? Answer: 25

Bella wrote the number from 1 to 111. How many digits did she use? Answer: 225

Five years ago, the sum of ages of John and his twin brother Jack was 28. How old is John now? Answer: 19




I need 12 pieces of fruit to make 3 glasses of fruice. How many pieces of fruit do I need to make 7 glasses of fruice? Answer: 28

In a flower shop there are 3 different colors of carnations. The total whites and pinks is 400, the reds and the pinks is 450 and the whites and the reds is 350. There are … pinks carnations? Answer: 250

Jack went fishing and caught 9 fish. He kept 5 of the fish in a fishbowl. How many fish did he throw back into the lake? Answer: 4

Jane is 15 years old. She is twice as old as Mary was when Jane was as old as Mary is now. How old is Mary now? Answer: 10

Jason was buying treats for 11 kids for his birthday party. He was told that 3 cookies and 8 scones will cost $14, but 9 cookies and 2 scones will cost $20. How much is one cookie? Answer: 2

Mary has a total of 280 eggs. Using these eggs, she will fill empty cartons that each hold 12 eggs. The greatest number of egg cartons that she can fill completely is … Answer: 23

Mary is reading a book that has 164 pages. John is reading a book that has has three times as many pages as Mary’s book. How many pages does John’s book have? Answer: 492

One case an hold 4 boxes. Each box can hold 4 binders. How many cases are needed to hold 256 binders? Answer: 16

The sum of three consecutive numbers is 126. What is the smallest number? Answer: 41

What is the half of 254? Answer: 127

What is the product of 4.06 and 2.4? Answer: 9.744

What number is missing? 72, 64, 56, …, 40 Answer: 48

Exam number 2: Vượt chướng ngại vật


20 is 40% of what number? Answer: 50

A man walked a total of 70 miles for 5 days. Every day he walked 5 miles less than the day before. How many miles did the man walk the last day? Answer: 4

A shoe factory makes 350 pairs every hour. How many pairs of shoe are made in 4 hours? Answer: 1400

Barbara plans to leave her house 2 hours 15 minutes before the concert starts. At what time should she leave her house? Answer: 11:20 A.M

Every Angela’s birthday, she put as many pennies in a box as her age in years. She now has $3 in the box. How old is she? (Given: 100 pennies = 1 dollar) Answer: 24

Bài giải chi tiết:
Gọi a là số tuổi của Angela, theo bài ra ta có 1 + 2 + 3 +…+ a = 3 x 100
Số số hạng của vế trái là a - 1 + 1 = a
Tổng của số hạng đầu và số hạng cuối là a + 1
Số cặp bằng nhau (bằng a + 1) của vế trái là a : 2
Suy ra 1 + 2 + 3 +…+ a = (a + 1) x a : 2 = 300
Hay (a + 1) x a = 600 = 25 x 24 = (24 + 1) x 24
Vậy a = 24

If 2 pears weigh as much as 3 peaches, and 2 peaches weigh as much as 30 grapes, then … pears weigh as much as 180 grapes. Answer: 8

If 6/15 of my letters are bills then the ratio of the number of bills to the number of other letters is … Answer: 2:3

If my neck grows 4cm every days, it takes … days for my neck to grow 32cm. Answer: 64

Jack got either a 90 or 100 on each of his 5 Math tests. The averge of all his  Math tests is 94. How many 100s did he get? Answer: 2

 

Peter is 13 years old. What is the average of his age 3 years ago and his age 5 years ago? Answer: 9

Sophia shared a sweet cấu kết with her friends. Which is the smallest? Answer: ½ of the cake

The sum of 3 consecutive whole number is 6048. What is the sum of all the digits of these 3 numbers? Answer: 27

Tiffany went to the bookstore. She spent 1/3 of her money on a pen and 3/7 of it on books. What fraction of her money did have left? Answer: 5/21

What is the value of this expression? 9 + 5 x (8 - 2) Answer: 39

Which decimals is equal to 3/8? Answer: 0.375

Which of following decimals is between 1/4 and 2/5? Answer: 0.3

Exam number 3: Talented Golden Toad

Add 29 to the greatest two - digit number then dividing the sum by 4 we get … Answer: 32

Anna draws bows: a yellow one, then a blue, then a red, then a black, then a yellow, a ble, a red, a black, and so on … What colour is the 2016th bow?   Answer: Black

Bob has 5/8 of a pizza. He eats 1/3 of original pizza at breakfast. What fraction of the original pizza does he have left? Answer: 7/24

How many pairs of parallel lines are there in this figure?   Answer: 8

In this figure, MNPQ is a square. Each its side is 13cm long. MGHQ is a rectangle. Its width is 10cm shorter than its length. The perimeter of the rectangle GNPH is … Answer: 46cm

Jeff, Josh and justin have 4 apples in total. In how many ways can it happen? (It is possible that not each of them has an apple). Answer: 15 ways

My birrthday is one day after Monday. Three days before my birthday was ... Answer: Saturday

The greatest fraction in the following group (2/3, 3/4, 4/5, 5/6) is … Answer: 5/6

The perimeter of a square is 64cm. How long is each its side? Answer: 16cm

The smallest natural number divisible by both 5 and 8 is … Answer: 0

What times is 25 minutes after 6:45? Answer: 7:10

When I look at the alphabet, I see that a letter has four times as many letters after it as before it. The letter is … Answer: U

Which of the following is not equal to 18/4? Answer: (36+1)/(8+1)
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Các bạn có thể tải toàn bộ Đề và đáp án vòng 3 thi Toán trực tuyến quốc tế (Global ViOlympic) trình độ tiểu học (Primary) năm học 2015 - 2016 tại đây.

Exam number 1: Arrange


Exam number 2: Fill in the blank with the correct number

Question 1:

The side of each square grid is 2cm. Find the area of the shaded region.
Answer: The area of the shaded region is 30 cm2.

Bài giải chi tiết:
Ta nhận thấy diện tích hình có bóng mờ bằng một nửa diện tích của hình chữ nhật đã cho.
Vậy diện tích hình có bóng mờ bằng 2 x 5 x 2 x 3 : 2 = 30 (cm2)

Question 6:
A 6-digit number begins with the digit 7. The number is divisible by 9. All six digits of the number are different. Find the smallest possible value of this number?
Answer: 701235.

Question 3:
Complete the number pattern:
0, 3, 8, 15, 24, 35, 48.

Question 7:
Evaluate:
1/1x2 + 1/2x3 + 1/3x4 + ... + 1/99x100 = 0.99.
(write your answer by decimal in simplest form)

Question 9:
Evaluate:
.
(round to three decimal places)

Question 6:
Evaluate:
= 0.0164.
(round to four decimal places)

Bài giải chi tiết:
Đặt A = 1/31 + 1/41 + 1/51, theo bài ra ta có:

= (1 + A) X (A = 1/61) - (1 + A + 1/61) X A
= A + A X A + 1/61 + A X 1/61 - A -  A X A  - A X 1/61
= 1/61 = 0.0163934426229508
Đề bài yêu cầu làm tròn còn 4 số thập phân, nên kết quả cuối cùng bằng 0.0164 (vì 9 >5)

Question 4:
Find the area of the shaded region if A and B are squares of sides 5cm and 8cm respectively.

Answer: The area of the shaded region is 12.5 cm2.
(write your answer by decimal in simplest form)

Question 2:
Find the missing numbers in the number patterns below:

Answer: x; y = 66;70.
(use ";" between the numbers)

Bài giải chi tiết:
Quy luật của các số trong hình là:
* Số bên dưới bằng số bên phải nhân với 2
* Số bên phải bằng số bên dưới cộng với 4
Từ đó suy ra: x = 33 x 2 = 66 và y = 66 + 4 = 70

Question 5:
Find the smallest possible value of the number 368abc so that it is divisible by 3,4 and by 25.
Answer: 368100.

Question 9:
Find the whole number A knowing that A is 9 units greater than the average of A, 38, 45 and 67.
Answer: A= 62.

Question 10:
Find the whole number B knowing that B is 19 units greater than the average of B, 98 and 125.
Answer: B= 140.

Question 10:
Find the whole number C knowing that C is 14 units smaller than the average of C, 68, 72, 99.
Answer: C= 61.

Question 7:
Given

Find the value of n in .
Answer: n= 4.

Bài giải chi tiết:
Quy luật của biểu thức là: Số đầu tiên bên trái của vế trái sẽ là số đầu tiên của vế phải; số cuối cùng bên phải của vế trái sẽ là số số hạng của vế phải
Từ đó suy ra: n+n+1+…+n+7=60 (1)
Biểu thức (1) có 8 số hạng (tương ứng với 4 cặp đầu + cuối), tổng của số đầu và số cuối là 2n+7
Biến đổi biểu thức (1) ta được (2n+7)x4=60
Giải ra, ta được n=4

Question 5:
How many whole numbers between 1 and 100 are not divisible by 3 or 11?
Answer: 61 numbers.

Bài giải chi tiết:
1- Số từ 1 đến 100 chia hết cho 3 hoặc 11 là:
Từ 1 đến 9: 3, 6, 9 (có tất cả 3 số)
Từ 10 đến 19 gồm các số: 11, 12, 15, 18 (có tất cả 4 số)
Tương tự như vậy từ 20 đến 100 có tất cả 4 x 8 = 32 số
Vậy từ 1 đến 100 có 3 + 4 + 32 = 39 số chia hết cho 3 hoặc 11
2- Số từ 1 đến 100 không chia hết cho 3 hoặc 11 là: 100 - 1 + 1 - 39 = 61


Bài giải chi tiết:
Bài 7 sử dụng phương pháp thế với a = m và b = 10.
Ta được:
m + (m + 1) + (m + 2) + (m + 3) + ... + (m + 10) = 66
11m + (1 + 2 + 3 + ... + 11) = 66
11m + (1 + 11) x 5 + (1 + 11) : 2 = 66 (dãy số từ 1 đến 11 có 11 số hạng, tương ứng với 5,5 cặp 1 + 11)
11m = 66 - 60 - 6
m = 11 : 11
Vậy m = 1

Bài 3 giải tương tự như bài 7 nhưng phép tính đơn đơn giản hơn, chỉ khác là phải sử dụng phương pháp thế 2 lần.

Question 9:
Place 3 numbers (a;b;c) between 12 and 60 to make a sequence of 5 numbers with a common difference.
Answer: (a;b;c)=(24;36;48).
(use ";" between the numbers)

Question 8:
The sum of the areas of the two squares, A and B, is 202cm2.
Find the perimeter of the figure.

Answer: The perimeter of the figure is 62 cm.

Bài giải chi tiết:


Question 10:
The average of all odd 3-digits numbers is 550.

Question 6:
What are the numbers in the twelfth group in the pattern below?
(1,4,8) (2,8,12) (3,12,16) ….
Answer: The twelfth group is (12;48;52).
(use ";" between the numbers in the group)

Bài giải chi tiết:
Quy luật của dãy số là:
* Số thứ hai bằng số đầu nhân với 4
* Số thứ ba bằng số thứ hai cộng với 4
Từ đó suy ra số hạng thứ mười hai là: 12; 12x4; 12x4+4
Vậy số hạng thứ mười hai là: 12; 48; 52

Question 8:
What is the largest possible value of a8949b if it is divisible by 11?
Answer: 989494.

Exam number 3: Obstacle

A bus travels 165 miles in 3 hours. What is its average speed? Answer: 55 mph

A shirt was originally $35 and is now 25% off. What is the sale price? Answer: $26.25

A soccer team played 47 games and won 33. Rounding to the nearest whole, how many percent 0f the games did the team win? Answer: 70%

Adam and Kevin are room mates. Adam can clean apartment in 45 minutes. Kevin can clean it in 60 minutes. Rounded to the nearest minute, how much time will it take if they work together? Answer: 26 minutes

Alvin is 3 years older than Brian. Brian is 5 years older than Melvin. The sum of their ages is 31. How old is Brian? Answer: 11 years old

Amy, Barry and Carter are building a fence. Together, it take them 4 hours. If Amy worked alone, it would take her 14 hours. If Carter worked alone, it would take him 16 hours. Rounded to the nearest hour, how long would it take Barry to build the fence alone? Answer: 9 hours

Andrew cleans his house for 5 hours and Emily cleans that house for 8 hours. Rounded to the nearest hour, how long will the job take if they work together? Answer: 3 hours

At a birthday party, there are 7 boys and 5 girls. What percent of the kids are boys, rounding to the nearest tenth of a percent? Answer: 58.3%

At a party, Martha pays $14.75 for food, John pays $18.25. How much money do they pay together? Answer: $33






Faith buys gifts for 5 friends. If each one costs $18, how mauch does she spend in total? Answer: $90

Find 458abc such that this number is the smallest and divisible by 3, 4 and 5. Answer: 458040

George earns $12 per hour painting house. If he works for 7 hours per day, how much does he earn? Answer: $84

How many endpoints does a line segment have? Answer: 2

How many total cookies can it hold? Answer: 24 cookies

If a cookie sheet holds 6 cookies along one side and 4 cookies along the other. What is 5 divided by 0.5? Answer: 10

John has $4.55 in his wallet and Lisa has $3.24. How much do they have in total? Answer: $7.79

Olivia rides her bike at an average speed of 12 miles per hour (mph) for 2 hours. How far does she go? Answer: 24 miles

This year, Karen’s age is a multiple of 5. Next year, her age will be a multiple of 3. Her age is more than 20 but less than 50. How old will Karen be six years from now? Answer: 41 years old

The average mass of Ken, David and Emily is 42kg. David is 6kg heavier than the average mass of Ken and Emily. Ken is 6kg heavier than Emily. Find David’s mass? Answer: 46kg

The average of A and B is 8. The average of B and C is 3.6. The average of C and D is 5.8. Find the average of A and D? Answer: 10.2


What is the total distance of four line segments that measure 1, 2, 2 and 3 inches respectively? Answer: 8 inches
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Các bạn có thể tải toàn bộ Đề và đáp án vòng 4 thi Toán trực tuyến quốc tế (Global ViOlympic) trình độ tiểu học (Primary) năm học 2015 - 2016 tại đây.

Exam number 1: Find Equal Pairs




Exam number 2: Talented Golden Toad

a and b are the whole number. There are 10 consecutive whole numbers between a and b. Find the difference between a and b? Answer: 11

Given a fraction 46/67. If we add both its numerator and its denominator with X, the new fraction will equal to 3/4. The value of X is… Answer: 17

Given a rectangle. If we decrease the width by 1/5 of its value then the area will be decreased by 90cm2. The ares of the rectangle is… Answer: 450cm2

How many 3 - digit number are smaller than 215? Answer: 115

How many 3 - digit odd number are divisible by 3? Answer: 150

If we double the radius of a circle, we will have a new circle with the area of 1256cm2. The original area of the circle is … Answer: 314cm2


Bài giải chi tiết:

Gọi S là diện tích.
Nối C với M, ta có:
SABC : 2 = SACM = SBCM (vì ACM và BCM có chung chiều cao hạ từ C xuống đáy AB và AM = MB). Suy ra: SABC = 2 x SBCM
SABC : 4 = SACM : 2 = SAMN = SCMN (vì AMN và CMN có chung chiều cao hạ từ M xuống đáy AC và AN = NC). Suy ra: SABC = 4 x SCMN
Suy ra: SBMNC = SBCM + SCMN = SABC : 2 + SABC : 4 = SABC x 3/4 = 270 (cm2)
Hay SABC = 270 x 4 : 3 = 360 (cm2)

The area of a rectangle is 2352cm2. The width equals to 75% the length. The perimeter of that rectangle is… Answer: 196cm

The average of 2 numbers is 186. Their difference is 36. The smaller number is… Answer: 168

The average of all 3 - digit even number that divisible by 9 is… Answer: 549

The sum of two number is 38 and their differenca is 12. The greater number is… Answer: 25

There are some balls in a box. One half of the balls are red, on third of the balls are blue, the rest are yellow. The ratio of yellow balls to the balls in the box is… Answer: 1/6




What is the 579th 3 - digit number? Answer: 678

Exam number 3: Intellectual Peaks

A teacher spends $60 to buy 5 of the same books. If the teacher buys such books for a class, how much money will she spend? Answer: 384


Find a fraction such that the sum of its numerator and its denominator is 285, and the value of that fraction is equal to 38/57. Answer: 114/171

Given 2 numbers m and n. the average of m and n is 198. m is greater than n by 18. m is… Answer: 207

Given that the sum of the ages of A and B is 56, and A is 28 years older than B. Find the ages of A and B. Answer: 42 and 14

Given two numbers a and b. Their sum is 274. If we subtract 8 from a and b then the value of a will be 2 times as large as the value of b. The value of a is… Answer: 180

How many 2 - digit even number? Answer: 45

How many 2 digit numbers are there that it equal to 7 times the sum of its digits? Answer: 4 (21; 42; 63; 84)

How many fraction equal to 38/57 such that its numerator has digits? Answer: 30


The averange of the consecutive natural numbers from 1 to 79 is… Answer: 40

The perimeter of a rectangle is 120cm. Given that the length is 8cm longer than the width of the rectangle is …cm. Answer: 26

The sum of 2 consecutive even numbers is 1362. Find the two numbers. Answer: 680 and 682
The sum of 3 consecutive even numbers is 558. The greatest number among 3 number is… Answer: 188

The sum of two even numbers a and b is 210 and there are 18 even numbers between a and b. Find two numbers a and b. Answer: 86 and 124

There are 180 students in camp A and B in total. If 9 students move from camp A to B, the number od students in 2 camps are equal. How many students are there in each camp? Answer: 99 and 81



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Các bạn có thể tải toàn bộ Đề và đáp án vòng 5 thi Toán trực tuyến quốc tế (Global ViOlympic) trình độ tiểu học (Primary) năm học 2015 - 2016 tại đây.

Exam number 1: Talented Golden Toad

Benjamin earns $8.00 per hour working. If he works for 9 hours, how much money will Benjamin earn? Answer: $72

Calculate: 1600 ÷ 5 = … Answer: 320

Given the numbers sequence 1, 5, 6, 6, 12,… Find the 15th tern of the numbers sequence? Answer: 57

Given the numbers sequence 3, 6, 9, 12,… Find the 2016th tern of the numbers sequence? Answer: 6048

In the following number, which number is divisible by 4? Answer: 2016

Lily’s average mark for the first 4 exams in a year was 76. To raise her average mark to 80, the mark of her last exam must be… Answer: 96

Marilyn spends $27.00 on eggs. Each egg costs $3.00. How many egg did Marilyn buy? Answer: 9

The area of rectangle ABCD is 36cm2. Given a random point E inside of ABCD. Find the total area of triangles AED and BEC. Answer: 18cm2

The average of 2 numbers is 123. Their difference is 6. The smaller number is… Answer: 120

 
Exam number 2: Obstacle

53,184.90535,640.17820,539.541
6,218.0594,153.3423,805.725
How many of the six numbers shown in the table above have 5 in either the hundredths place or thousands place? Answer: 2

After buying some candies for $96.35. Todd has $38.15 left. How much money did Todd have at first? Answer: $134.5

Given the numbers sequence 1, 5, 9, 13, … Which tern of the numbers sequence is 85? Answer: 22

Given the numbers sequence 3, 6, 9, 12, … Which tern of the numbers sequence is 150? Answer: 50

If 4567m is divisible by 3, find the possible value of m. Answer: 2

If 4567m is divisible by 9, find the possible value of m. Answer: 5

In the following number, which number is divisible by 9. Answer: 2016

It took Anna 18 minutes to walk to the library at a speed of 40 m/minute. She returned from the libraby at a speed of 60 m/minute. What was her average speed for the whole trip? Answer: 48 m/minute

It took Sam 20 minutes to go to school at a speed of 21 km/h. She returned from the libraby at a speed of 14 km/h. What was her average speed for the whole trip? Answer: 16.8 km/h

Bài giải chi tiết:
Đổi 20 phút thành 1/3 giờ
Quãng đường đi là 21 x 1/3 = 7 (km)
Thời gian quay về là 7 : 14 = 1/2 (giờ)
Tổng thời gian cả đi và về là 1/3 + 1/2 = 5/ 6 (giờ)
Tổng quãng đường cả đi và về là 7 x 2 = 14 (km)
Vận tốc trung bình của cô ấy là 14 : 5/6 = 16.8 (km/h)

Marie has $83.00. Dennis has $7.00. Ryan has $18.00. How much money does Marie have more than Dennis? Answer: $76


Bài giải chi tiết:
Mary’s mother has 5 daughters: Mẹ của Mary có 5 người con gái. Trong 4 cái tên đầu bài cho, không có tên Mary. Vậy người con thứ 5 tên là Mary.


The average of 2 numbers is 14. Their difference is 8. The greater than number is… Answer: 18

The last 4 digits in the result of the following equation are… 2 + 33 +444 + 5555 + 66666 + 777777 + 8888888. Answer: 9365



 
Exam number 3: Fill >; < ; = in the blank with suitable mark!

Question 1:
Roo wants to tell Kanga a number whose digits have a product of 24. What is the sum of the digits of the smallest number Roo could choose?
Answer: 11

Bài giải chi tiết:
]Ta nhận thấy:
3 x 8 = 24 và 3 + 8 = 11
4 x 6 = 24 và 4 + 6 = 10
Suy ra số nhỏ nhất mà Roo có thể chọn là 38
Vậy tổng của các chữ số của số nhỏ nhất mà Roo có thể chọn là 11

Question 2:
It is true that 1111/101 = 11. What is the value of 3333/101 + 6666/303 ?
Answer: 55

Question 3:
The sum of 2 numbers a and b is 210 and there are 17 consecutive numbers between a and b. Find the smaller number
Answer: 96

Bài giải chi tiết:
Giữa a và b có 17 số liên tiếp, suy ra hiệu của chúng là 17 + 1 = 18
Số nhỏ hơn là (210 - 18) : 2 = 96

Question 4:
What is the last 3 digits in the result of the following equation: 555 555+6 666 666+77 777 777+888 888 888+9 999 999 999?
Answer: 885

Question 5:
If Anna can eat 2 ice creams every 30 minutes then how many ice creams will she eat in 2 hours?
Answer: 8 ice creams.

Question 6:
The perimeter of a rectangle is 450cm.The width equals to 25% the length.The area of the rectangle is 8100 cm2

Bài giải chi tiết:
]Đặt a là chiều dài của hình chữ nhật, theo bài ra, ta có (a + 25% a) x 2 = 450.
Giải ra, ta được a = 180 (cm). Suy ra chiều rộng hình chữ nhật là 45 (cm)
Vậy diện tích hình chữ nhật là 180 x 45 = 8100 (cm2)

Question 7:
9 minutes 9 seconds = 549 seconds

Question 8:
A 6- distinct digit number is divisible by 9.If it begins with the digit 7 thenits smallest possible value is 701235

Question 9:
Ann has the square sheet of paper shown in the left-hand diagram. By cutting along lines of the square, she produces copies of the shape shown in the right-handdiagram. The smallest possible number of cells she can leave unused is 4


Bài giải chi tiết:


Question 10:
A 5- distinct digit number is divisible by 9. If it begins with the digit 6 thenits smallest possible value is 60129

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Các bạn có thể tải toàn bộ Đề và đáp án từ vòng 1 đến vòng 5 thi Toán trực tuyến quốc tế (Global ViOlympic) trình độ tiểu học (Primary) năm học 2015 - 2016 tại đây hoặc đây.

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