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One 7 x 7 x 7 cube is painted, and then cut it into 1 x 1 x 1 cubes. How many of these cubes are painted?
One 7 x 7 x 7 cube is painted, and then cut it into 1 x 1 x 1 cubes. How many of these cubes are painted?
Answer: ........... 1 x 1 x 1 cubes are painted.
One 7×7×7 cube is painted, and then cut it into 1×1×1 cubes.How many of these cubes are painted?
Youre a biologist on a mission to keep the rare honeybee Apis Trifecta from going extinct. The last 40 bees of the species are in your terrarium. Youve already constructed wire frames of the appropriate size and shape. Your frame is made by equalateral hexagons, and its shape is like an equalateral triangle with 9 hex on each side of your frame.Now you need to turn them into working beehives by filling every hex with wax. There are 2 ways to fill a given hexes:1. Place a bee into the cell. On pl...
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You're a biologist on a mission to keep the rare honeybee Apis Trifecta from going extinct. The last 40 bees of the species are in your terrarium. You've already constructed wire frames of the appropriate size and shape. Your frame is made by equalateral hexagons, and it's shape is like an equalateral triangle with 9 hex on each side of your frame.
Now you need to turn them into working beehives by filling every hex with wax. There are 2 ways to fill a given hexes:
1. Place a bee into the cell. On placed, you can't remove it without killing it.
2. If any unfill cell has 3 or more neighboring wax-filled hexes, the bees already in the hive will move in and transform it. Once the bees have transfomed every hex in the hive, you can add an aditional bee and it'll specialies into the queen. The hive, if been well cared for, will eventually produce new bees and continue the species.
If there are no hexes with 3 or more transform neighbors, the bees will just sit and wait. And once a bee transform a hex, it will never become a queen.
You could put 40 bees in one wire hive, wait till they transform all the hexes, and then create a queen. But then just one collapses will end the species.
Question: At most how many queen bees you can make with 40 bees?
Question 1: What is 1/6 of 744? Answer: 124Question 2: Express seventy thousand, four hundred and nine in numerals. Answer: 70409 Question 3: Study the pattern. 88:811 880:8110 8800:8 ? The missing number is 1100Question 4: Subtract 346 from 752. Answer: 406Question 5: 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.Question 6: The product of 2 different natural numbers is 9. Their sum...
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Question 1: What is 1/6 of 744? Answer: 124
Question 2: Express seventy thousand, four hundred and nine in numerals. Answer: 70409
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 5: 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.
Question 6: The product of 2 different natural numbers is 9. Their sum is 10
Question 7: 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 5 ( hay 10 gì đó ) times as big as its was on the preceding Sunday.
Question 9: 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.
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.
One 7×7×7 cube is painted, and then cut it into 1×1×1 cubes.How many of these cubes are painted?
Answer: 1×1×1 cubes are painted
One 7×7×7 cube is painted, and then cut it into 1×1×1 cubes.How many of these cubes are painted?
Answer: 1×1×1 cubes are painted
Combinatorics21. 15 students join a competition. Only top 5 students can be promoted to next round. How many different way(s) of promotion advance is / are there?Different way: Cách khác nhau.22. It is known that there are 8 classes of grade 5 in a primary school. At least how many students are there in grade 5 to ensure there exist 41 students in the same class?At least: Ít nhất; Ensure: Chắc chắn; Exist: Tồn tại.23. Choose 3 digits from 1, 2, 3, 4, 6, 8 and 0 to form 3-digit numbers. H...
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Combinatorics
21. 15 students join a competition. Only top 5 students can be promoted to next round. How many different way(s) of promotion advance is / are there?
Different way: Cách khác nhau.
22. It is known that there are 8 classes of grade 5 in a primary school. At least how many students are there in grade 5 to ensure there exist 41 students in the same class?
At least: Ít nhất; Ensure: Chắc chắn; Exist: Tồn tại.
23. Choose 3 digits from 1, 2, 3, 4, 6, 8 and 0 to form 3-digit numbers. How many even number(s) greater than 300 is / are there? (The repetition of digits is not allowed)
Digit: Chữ số; 3-digit number: Số có 3 chữ số; Even number: Số chẵn; Greater than: Lớn hơn; Repetition of digits is not allowed: Các chữ số không được lặp lại.
24. A flight of stairs has 10 steps. Peter can go up for 1 step, 2 steps or 3 steps each time. How many way(s) is / are there for Peter to go up the stairs?
Step: Bước; Way: Cách.
25. Numbers are drawn from 80 integers 20 to 99. At least how many number(s) is / are drawn at random to ensure that there are two numbers whose sum is 85?
Integer: Số nguyên; At least: Ít nhất; Random: Ngẫu nhiên; Ensure: Chắc chắn; Sum: Tổng.
~ End of Paper ~
Combinatorics21. 15 students join a competition. Only top 5 students can be promoted to next round. How many different way(s) of promotion advance is / are there?Different way: Cách khác nhau.22. It is known that there are 8 classes of grade 5 in a primary school. At least how many students are there in grade 5 to ensure there exist 41 students in the same class?At least: Ít nhất; Ensure: Chắc chắn; Exist: Tồn tại.23. Choose 3 digits from 1, 2, 3, 4, 6, 8 and 0 to form 3-digit numbers. H...
Đọc tiếp
Combinatorics
21. 15 students join a competition. Only top 5 students can be promoted to next round. How many different way(s) of promotion advance is / are there?
Different way: Cách khác nhau.
22. It is known that there are 8 classes of grade 5 in a primary school. At least how many students are there in grade 5 to ensure there exist 41 students in the same class?
At least: Ít nhất; Ensure: Chắc chắn; Exist: Tồn tại.
23. Choose 3 digits from 1, 2, 3, 4, 6, 8 and 0 to form 3-digit numbers. How many even number(s) greater than 300 is / are there? (The repetition of digits is not allowed)
Digit: Chữ số; 3-digit number: Số có 3 chữ số; Even number: Số chẵn; Greater than: Lớn hơn; Repetition of digits is not allowed: Các chữ số không được lặp lại.
24. A flight of stairs has 10 steps. Peter can go up for 1 step, 2 steps or 3 steps each time. How many way(s) is / are there for Peter to go up the stairs?
Step: Bước; Way: Cách.
25. Numbers are drawn from 80 integers 20 to 99. At least how many number(s) is / are drawn at random to ensure that there are two numbers whose sum is 85?
Integer: Số nguyên; At least: Ít nhất; Random: Ngẫu nhiên; Ensure: Chắc chắn; Sum: Tổng.
~ End of Paper ~