Các bạn có thể xem và tải toàn bộ Đề và đáp án vòng 1 thi Toán tiếng Anh (Math ViOlympic) lớp 6 năm học 2016 - 2017 tại đây.
Exam 1: Đỉnh núi trí tuệ
A donut costs 5000 VND. Linh bought a dozen of these donuts. How much did she pay for them? Answer: 60000
- Bài giải chi tiết:
- A dozen = 12
5000 x 12 = 60000
A nurse poured 1.5 l of cough mixture equally into 6 bottles. How many ml cough mixture were there in each bottle? Answer: 250
A rectangular carton measures 5cm by 10cm by 25cm. It container 1l of milk. How much empty space is there in the carton? (Express your answer in cm3). Answer: 250
- Bài giải chi tiết:
- 5 x 10 x 25 = 1250(cm3)
1l = 1000(cm3)
Empty space in the carton: 1250 - 1000 = 250(cm3)
A rectangular tank is 50cm long, 40cm wide and 45cm high. The height of the water level in the container is 15cm. How many more liters of water are required to fill up the tank completely? Answer: 60
- Bài giải chi tiết:
- 50 x 40 x 45 = 90000(cm3)
50 x 40 x 15 = 30000(cm3)
90000 - 30000 = 60000(cm3) = 60(dm3) = 60(liters)
A school has 1500 pupils. On a certain day, 30 of the pupils were absent. 40% of the pupils absent were girls, how many girls were absent on that day? Answer: 12
- Bài giải chi tiết:
- The girls of the pupils were absent: 30 x 40 : 100 = 12(girls)
A school has 1500 pupils. On a certain day, 30 of the pupils were absent. Find the percentage of the pupils who were present on that day? Answer: 98
- Bài giải chi tiết:
- The percentage of the pupils were absent: 30 x 100 : 1500 = 2(%)
The percentage of the pupils who were present on that day: 100 - 2 = 98(%)
A string of 2.1m was cut into 6 equal parts. What’s the length of each part in cm? Answer: 35
- Bài giải chi tiết:
- 2.1m = 210cm
The length of each part is: 210 : 6 = 35(cm)
Calculate: 1/3 + 5/3 - 2/7 = ... Answer: 12/7
Express 12/20 as a percentage. Answer: 60
Express 48% as a decimal. Answer: 0.48
Express 3000cm3 in liter. Answer: 3
Find 2/3 of 8.7cm? Answer: 5.8
Find digit in the place of sign * such that: 6*4 is divisible by 9. Answer: 8
Find the missing number in the following number sequence: 1, 4, 10, 22, 46, …, 190? Answer: 94
- Bài giải chi tiết:
- 1 x 2 + 2 = 4; 4 x 2 + 2 = 10; 10 x 2 + 2 = 22; 46 x 2 + 2 = 94
Find the missing number in the following number sequence: 2, 2, 3, 5, 14, …, 965. Answer: 69
- Bài giải chi tiết:
- 2 x 2 - 1 = 3; 3 x 2 - 1 = 5; 5 x 3 - 1 = 14; 14 x 5 - 1 = 69
John shared his cards with two friends. He gave 40% of his cards to Peter. Then he gave 1/3 of the remainder to Mary. He kept the rest of 48 cards. How many cards did John have first? Answer: 120
- Bài giải chi tiết:
- 48 cards = 1/3 of the remainder
The remainder = 72 cards = 60% of his cards
His cards = 72 x 100 : 60 = 120 (cards)
Line segment AB is 6cm long. Point M is the midpoint of line segment AB. Calculate AM. Answer: 3
Linh deposited one million VND in a bank. The bank paid 6% interest per year. How much money would she have in the bank after 1 year? Answer: 1060000
Mr. Nam deposited some money in a bank. The annual interest rate is 2%. After one year, he got all $16728. How much did he deposit in the bank at first? Answer: 16400
- Bài giải chi tiết:
- Interest year is 2%. After one year, he has: 100% + 2% = 102% = $16728
He deposited in the bank at first: $16728 x 100% : 102% = $16400
Nam spent an average of 10000 VND per day for a week. How much did he spend altoghether in the week? Answer: 70000
The average height of 2 boys is 131.6cm. The average height of 4 girls is 128.3cm. What is the average height of all children? Answer: 129.4
- Bài giải chi tiết:
- Total height of 2 boys are: 131.6 x 2 = 263.2(cm)
Total height of 4 girls are: 128.3 x 4 = 513.2(cm)
Total height of all children are: 263.2 + 513.2 = 776.4(cm)
The average height of all children are: 776.4 : 6 = 129.4(cm)
The mass of 300 identical cans is 4.5kg. What’s the mass of a can in gam? Answer: 15
The masses of 3 children are 30.3kg; 24kg and 21.6kg. What is their average mass? Answer: 25.3
The original price of a television set was $250. What was the price of a television set after 20% sale? Answer: 200
The radius of a circle is 3cm. Which is the perimeter of the circle? Answer: 18.84
There are 1500 participants at a concert. 55% of the participants are men, 40% of the remainder are women. The rest are children. How many children are there at the concert? Answer: 405
- Bài giải chi tiết:
- Total the men: 1500 : 100 x 55 = 825(men)
The remainder: 1500 - 825 = 675(women + children)
Total the women: 675 : 100 x 40 = 270(women)
Total the children: 675 - 270 = 405(children)
Two years ago, Miss Lan’s salary was $2300. She got a 5% increment last year and a 10% increment this year. What is Miss Lan’s salary now? Answer: 2656.5
- Bài giải chi tiết:
- Last year, Miss Lan’s salary was: 2300 + (2300: 100 x 5) = ($)2415
This year, Miss Lan’s salary was: 2415 + (2415: 100 x 10) = ($)2656.5
What is 60% of 80? Answer: 48
Which decimal is larger? 234.5 … 234.45. Answer: >
Which mass is larger: 7kg/8 ... 9kg/10. Answer: <
Exam 2: Đi tìm kho báu
Compare the numbers: three fifteenths _ three tenths? Answer: <
Find the value for the expression: 12/4 + (15 - 4) x 2 = ... Answer: 25
Find the value for the expression: 12 - (9 - 4) + 2. Answer: 9
How many total legs are there on 4 horses and 11 people? Answer: 38 legs
- Bài giải chi tiết:
- 4 horses are there: 4 x 4 = 16 (legs)
11 people are there: 11 x 2 = 22 (legs)
4 horses and 11 people are there: 16 + 22 = 38 (legs)
How many minutes are there in 1 day? Answer: 1440 minutes
In table of value, what would the missing value be?
Input | 3 | 15 | 45 | 60 | 100 |
Output | 18 | 90 | 270 | 360 | ? |
Answer: 600
- Bài giải chi tiết:
- 3 x 6 = 18
15 x 6 = 90
…
100 x 6 = 600
Mrs. Hiatt (H) is one year less than twice as old as her son, Jaime (J). Which equation represents this numerical relationship? Answer: 2J - 1 = H
Peter’s mom is 38. Peter is 9. Which equation does not help you find how old Peter’s mom when Peter was born? Answer: n - 9 = 38
Roman numerals are still used today. We see them on some clock faces or page numbers. If I = 1, V = 5 and X = 10 which Roman Numerals is the number “nine”? Answer: IX
Three consecutive numbers have a sum of 180. What are the numbers? Answer: 59, 60, 61
What is the exact amount of a 15% tip on an $8 meal at a restaurant? Answer: $1.20
What is the next number in the pattern: 11, 13, 15, 17, 19, _? Answer: 21
What is the next number in the pattern: 51, 44, 37, _? Answer: 30
- Bài giải chi tiết:
- 44 + 7 = 51
37 + 7 = 44
30 + 7 = 37
What is the value of the following expression: 3 x (3 + 7) ÷ 2? Answer: 15
What are the the missing numbers in the pattern: 2310, 2320, _, _, 2350? Answer: 2330, 2340
Which inequality is correct? Answer: 12.5 < 12.55
Which is not a way to express the number 60%? Answer: 60/10
Which is the correct expression for “eighteen less than a number”? Answer: n - 18
Which number is “nine more than half seventy - four”? Answer: 46
- Bài giải chi tiết:
- Half seventy - four is: 74 : 2 = 37
37 + 9 = 46
Which number, n, satisfies the equation: 5n + 1 = 26? Answer: n = 5
Which one is the distributive property showing the product of 8 x 12? Answer: 8 x 10 + 8 x 2
Which one shows the distributive property for: 2(10+3)? Answer: 20 + 6
Which sign would be correct when comparing the following number? 4,512 _ 4,511. Answer: >
Which statement shows the associative property of addition? Answer: 9 + (6 + 3) = (9 + 6) + 3
- Giải thích:
- The associative property of addition: Tính chất kết hợp của phép cộng
Which statement shows the commutive property of multiplication? Answer: 5 x (3 x 7) = 5 x (7 x 3)
- Giải thích:
- The commutive property of multiplication: Tính chất giao hoán của phép nhân
Use patterns of numbers to help you find out many circles in Figure 1? Answer: 66
- Bài giải chi tiết:
- (11 + 1) x 11 : 2 = 66 (circles)
Use the rectangle in Figure to write an expression for the perimeter. Answer: x + x + 5 + 5
You buy 5 apples that cost $0.90 each and 3 bottles of water for a total of $8.25. How much did each bottle of water cost? Answer: $1.25
- Bài giải chi tiết:
- 5 apples cost: $0.90 x 5 = $4.50
3 bottles of water cost: $8.25 - $4.50 = $3.75
each bottle of water cost: $3.75 : 3 = $1.25
Exam 3: Sắp xếp
Sắp xếp theo thứ tự bên dưới (từ trái qua phải, từ trên xuống dưới):