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Seeking the Sixth Grade Olympic Mathematics Test Paper of Huzhou "Expectation Cup"
The 5th "Expectation Cup" Mathematics Competition for Primary School Students in Huzhou City (Grade 6)

(2012 65438+9: 00 am on February 23rd-10: 30; 100)

School: Class: SeatNo.: Name: Achievement:

Title1(1~11)

Two (1~5)

Score score

I. Fill in the blanks (5 points for each small question, 55 points for * * *)

1.=( )

2.

Civil band

A( 1, 1) 132

seven

53 16244

3. There is a two-digit number, the ratio of the number in the tenth place to the number in the unit is 2: 3, and the number in the tenth place plus 2 equals the number in the unit. This two-digit number is ().

4. Provisions: 6※2=6+66=72, 2※3=2+22+222=246, such as1※ 4 =1+kloc-0/+65438+

One of Wang Chun, Chen Gang and Yin Hua did a good deed. After understanding the situation, Miss Li said the following words respectively: Chen: "I didn't do it, nor did I". Wang: "I didn't do it, and neither did Chen Gang." Yin: "I didn't do it, and I don't know who did it." When Miss Li asked, she realized that what they said was a truth and a lie, and it was () who did good.

6. The British and Americans have different notation for year, month and day, such as 2012 65438+February 24th. The British notation is 12-24-20 12, while the American notation is 24-65438. Then in the middle of 20 13, 13 10, using () days to mark * * * will cause misunderstanding in Britain and America.

The triangle in the above figure first moves 5 units to the right, and then moves 4 units upward. The three vertices of the figure are a (,) respectively. b(,); c(,).

76 123 1

5376 153 12353 123 176

Summary of Chinese, Mathematics and English Teaching Plan Practice of Sixth Grade Primary School General Courseware

7. The letters A, B and C represent different numbers, where A > B and B > C. If the sum of ABC, BCA and CAB is 777, then A = (), B = () and C = ().

8. As shown on the right, a rectangular water tank with a depth of 15cm is filled with water and placed on the platform (regardless of the wall thickness). The bottom side is still on the table, the water tank is tilted as shown in the figure, and the water flows out 5 1.

At this time, the length of AB is () cm.

9.

10. How many natural numbers 1, 2, 3? Multiply in turn (from small to large). If it is known that the last 13 bits of this product are all zeros, then the smallest natural number that appears last should be ().

1 1. Turn the dice along one side of the dice on a chessboard with two rows and three columns (the reverse side is marked with 1 and 6 points, 2 points and 5 points, 3 points and 4 points respectively). In each flip mode, the dice can only be flipped forward or right. At the beginning, the dice are placed as shown in figure 1, and the number of points up is 2. Finally, it is turned to the position shown in Figure 2. At this point, the number of points on the dice cannot be () and ().

Second, the solution (required to write the process, each small question 9 points, ***45 points)

1. There are 45 students in a class, of which 15 participates in the math group, 19 participates in the model airplane group, 1 1 both groups participate. So how many people don't participate in both groups?

2. Master Zhang 15 hours, and Master Wang completed a batch of parts in 20 hours. If two people do it at the same time, Master Zhang will make 50 more parts than Master Wang when completing the task. How many parts are there in this batch?

The "Environmental Guardian" team of Xinxing Primary School 12 people participated in the tree planting activity, and each male student planted 3 trees.

Female students each plant two trees. Finally, there are more boys than girls 1 species, and boys have ().

There are two suspended springs, A and B. As shown on the right, when a weight of 30 grams is suspended under the spring, the length of spring A is 6 cm and the length of spring B is 5 cm. If spring A hangs a weight of 40 grams and spring B hangs a weight of 60 grams, the length of spring A is 7 cm and the length of spring B is 6 cm. Answer the following questions.

① Find out the length of springs A and B without hanging heavy objects.

② Find the length of spring B when it hangs a 40g weight.

③ After adding a weight with the same weight to springs A and B without weight, the lengths of the two springs are equal. Find the weight of the hanging weight at this time.

The shop bought a batch of sandals from 6.5 yuan at the price of 8.7 yuan. When the remaining 25% was sold, it not only recovered the money paid for these sandals, but also made a profit in 20 yuan. How many pairs of sandals are there?

5. two baskets of pears, the second basket is three of the first basket.

five

After taking out 5 kilograms of pears from basket A and putting them into basket B, the pears in basket B are A..

Basket 7

nine

How much do two baskets of pears weigh?