When shifting the decimal point of a decimal number A to the left by 1 digit , A is decreasedby 11.106. Find A
A ray consist of a point on a line and all the point on that line on one side of that point. How many rays can we draw through a point on a plane?
The area of a triangle ABC is , take the point M on BC such that BM=MC and the point N on AC such that AN=NC. Find the area of the triangle AMN
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A is playing the game. He flips the coin, and if it lands on heads, he gets 1 point. If it lands on tails, he gets 2 points. A does this thing many times. THE GOAL IS TO GET 14012010 POINTS. Note that the coin can land on side, but it HAPPENS ONCE 6000 FLIPS. But A can let the coin LANDS ON SIDE ONES EVERY 2010 FLIPS. If this happens, he will get 5 points.What is the maximum number of flips that A need to achieve the goal? ( About 3/4 of the time the coin lands on tails. )
BONUS:IF A TAKES 10 SECONDS FOR A FLIP, HOW MUCH TIME HE NEED TO ACHIEVE HIS GOAL?
A,B,C,D,A+C,B+C,A+D,B+D represent 8 diffirent natural numbers from 1 to 8. If A is the largest number in the number from 1 to 8.Find A
How many natural numbers are there between 100 and 999 that unit-digit and tens-digit equal hundreds-digit ?
Problem 1. Find two distinct numbers, given that their sum is three times their difference, and their product is eight times their difference.
Problem 2. The following sequence of numbers was written on a board: 1, 2, 3, 4, ..., 200. Uyen erased three consecutive numbers and the sum of the remaining numbers is 19848. Find the three numbers that were erased.
Problem 3. The price of a type of chalk in August dropped by 10% compared to that in June, but increased by 10% in October compared to that in August. How many percent has the price increased or decreased from June to October ?
Problem 4.Find the smallest whole number such that when it is multiplied by 12345679, the resulting product is a number having all of its digits equal to 8.
Problem5. Find the digits a and b such that the number 2016ab is divisible by 2 and 9, and has a remainder of 3 when divided by 5.
Câu 6:
4.8l of oil weigh 3.648kg. How many liters of oil are there if they weigh 4.864kg?
Answer: There are liters
(Write your answer as a decimal in the simplest form)
Câu 7:
Inspecting products of a factory, we find that there are 97 qualified products out of every 100 products on average. What percent of the total products is qualified products?
Answer: %
Câu 8:
A rectangular field has a width of 24.5m and its area equals the area of a square with the sides of 35m. Find the perimeter of that rectangular field.
Answer: m
Câu 9:
The area of a triangle ABC is , take the point M on BC such that BM=MC and the point N on AC such that AN=NC. Find the area of the triangle AMN.
Answer:
Câu 10:
A store sold 902kg of rice which is 10.25% of the total amount of rice. How many kilograms of rice were there in that store at first?
Answer: There were kilograms
Câu 32: Given a triangle ABC, take the point D on AB such that AD = 2DB, take the point E and G on AC such that AE = EG = GC and take the point H on BC such that BH = 2HC. Find the area of BDEGH if the area of triangle ABC is 180cm2.
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Number 2 : The area of a rectangle ABCD is 56cm2. Given a random point E inside of ABCD. Find the total area of triangles AED and BEC.
Answer: ............. cm2.
Number 3 :Peter and Jacob were running. Both of them run with their constant speeds. They started at the same time and the same place. When Jacob reached the finishing line, Peter had only run 5/8 of what Jacob had run. Jacob’s speed is 75m/min (metre per minute) faster than Peter. What was Peter’s speed in m/min?
Answer: ............. m/min.