Fifth Grade Olympiad good with extra points Lower grade Olympiad Mathematics, additional points ca

4, 5, 6 please see**.

1.Solution: Let x hours be completed, and the total amount of workers completed per hour is 1 130 * 6 = 1 780;1 2 * 5 = 1 10 of the total amount of trucks completed per hour, according to the question; 84x 780+2x 10=1 to solve the equation, x= A: It can be shipped in hours. 2.Solution: 9 13

It can be seen that the loop is 692307, and there are 6 bits in total.

1993 6 332 remainder 1. So it should be the first number of the cycle.

That's 6.

3.Solution: 3 14

It can be seen that the cycle section is 142857, a total of 6 bits 1993-1) 6 332. So it should be the last digit of the cycle.

That's 7. 7.Solution: The time it takes for two people to meet once is t=950*2 (40+150)=10 (minutes), and it can be known that in the 40th minute, two people A and B meet head-on.

Let L be the distance between the two people and B head-on, calculated by the speed of A, then L (10th minute) = 950-10 * 40 = 550 (m) L (20th minute) = 550-10 * 40 = 150 (m) L (30th minute) = 10 * 40-150 = 250 (m) L (40th minute) = 10 * 40 + 250 = 650 (m) Answer: A and B meet (2) head-on when they are closest to B, and the distance is (150) m 8Solution:

According to the summary: the first encounter, A and B walked a total of 2 whole journeys, the second encounter, A and B walked a total of 4 whole journeys, B is faster than A, and the encounter is at point P, so it can be launched according to the summary and drawing: from the first encounter to the second encounter, B from the first point P to the second point P, the journey is exactly the first journey.

So let's say a whole process is 3 parts, and the first encounter A takes 2 parts, and B goes 4 parts. The second time they met, B walked exactly 1 to B and then returned 1. So according to the summary:

In 2 whole courses, B walked (540 3) 4=180 4=720 km, and B walked a total of 720 3=2160 km; A: Until the third meeting of the two cars, car B has traveled a total of 2,160 kilometers.

I fainted to death. I usually don't read long topics!

1) Column formula sub 1 =

A: Now there are 84 workers and 2 trucks coming to transport at the same time, and it can be transported in an hour.

2) The cycle of 9 13 is 692307 because 1993 6 = 332 ......1, so the number in the 1993rd digit after the decimal point is 6.

3) The cyclic knot of 3 14 starting from the percentile is 142857, and since (1993-1) 6=332, the number in the 1993rd decimal place is 7.

4) The remainder is 2

5) (1 + 3 + 5) * 10 = 90, so the sum of the lengths of the unblackened parts of the sticks at the end is 90 cm.

6) 20 (3 5-1 5) = 50, so the two places are 50 kilometers apart.

7) I didn't finish all the questions.

8) When the two cars met for the third time, B walked a full round trip, so it was 1080 kilometers.

There are so many questions, according to my typing level, I can't finish it in an afternoon.

It took me two hours to type so many of them one by one, and I still asked my classmates in person.

1.does not exist.

2.The total score = 26 * n = 1 2 (1 + n) n * k52 = (1 + n) k, the factor of 52 is, because n> = 2, so n + 1 can only be n = 3 k = 13 n = 12 k = 4 n = 51 k = 1 (obviously not 26 points per person).

So only the first two. No.

1. If the average score of the top four students is 150 points, the top four students will score a total of 150*4=600, and the average score of the last 6 students will be 20 points less than the average score of 10 students, a total of 20*6=120 points less. If they achieve the average score, they must borrow 120 points from the top four.

The top four students were borrowed 120 points, and they were reduced to an average score: (600-120) 4=120 (points).

A: The average score of these 10 students is 120 points.

2. Addition of fractions with the same denominator.

3. If a page is not torn off, it is the sum of a series of equal differences.

The formula is: [(1+n)*n] 2=

n is the page number of the last page. Just find a number that is close to 2007.

Suppose [(1+n)*n] 2=2007

1+n）*n】=2007*2=4014

If the parentheses in parentheses are to be ignored, 4014 square is close to n.

The book has a total of 63 pages, and the ninth page has been torn out.

1: If the average score is x, then 10x 4 150 6 (x 20) gives x 120

2: Original (39 86 24) 148 149 148

3: It's wrong to tear the ninth page out of 63 pages, you must know that there are two numbers on one page!

(1) Solution: Let the second car go for x hours.

30*(x+12/50)=40x

x=3 540*3 5=24 (km).

The second method: Solution: The distance from the warehouse to the farm is x kilometers.

x/30-x/40=12/60

x=242).

Fill in the blank (1) put together two small cube wooden blocks with an edge length of 3 cm into a cuboid, the volume of the rectangle is (27) cubic centimeters, and the surface area is (90) square centimeters, which is (18) square centimeters less than the sum of the surface areas of the original two small cubes.

2) Putting together 3 cubes with edges of 4 decimeters into a cuboid, the surface area is reduced by (64) square decimeters.

3) The surface area of a cube is 30 square centimeters, and the surface area of two identical cubes is (50) square centimeters.

4) A cuboid of timber is exactly one meter long, and it is sawn into 5 cubes of the same size, and its surface area should be increased by ( ) square decimeters. Work something out.

4) Ridge length: 24 4 2 = 3

(1) Solution: Set the distance from the warehouse to the farm is x kilometers.

40-30x = 1/5 times 30 times 40

2) Car A and car B go from place A to place B 600 kilometers apart at the same time, car A arrives 4 hours earlier than car B, and car B has traveled 400 meters at this time, and the time required for car A to travel the whole journey is found.

Car B is only 400 meters away???