I got home 20 minutes earlier than usual, which means my father drove 20 minutes less, which is twice the walking distance of Xiaolin.
That is to say, Kobayashi's one-way walk distance is equal to Dad's driving distance 10 minute.
Usually my father arrives at school at 5 o'clock, but today my father missed 10, which means meeting Xiao Lin at 4: 50.
Xiao Lin left school at 4: 00 and met his father at 4: 50, indicating that Xiao Lin had left.
_ _ _ _ _ _ _ Class name _ _ _ _ _ _ _ _ Class
First, multiple-choice questions:
1, it is known that three points A, B and C on the number axis represent rational numbers, which are 1 and-1 respectively, so it means ().
(a) the distance between points a and b (b) the distance between points a and c.
(c) Sum of distances from points A and B to the origin (d) Sum of distances from points A and C to the origin.
2. Wang Laobo bought five sheep in the market, with an average of RMB each, and later bought three sheep, with an average of RMB each. Later, he sold all the sheep at the price of each sheep and found himself losing money. The reason for the loss is ().
(a) (b) (c) and (d) have nothing to do with size.
3. The sum of two positive numbers is 60, and their least common multiple is 273, so their product is ().
273(B)8 19(C) 1 199(D) 19 1 1
4. A class of ***48 people went boating on the West Lake in Hangzhou in the spring, with 3 people per boat, and the rent was 16 yuan, with 5 people per big boat.
People, rent 24 yuan, then this class should at least spend rent ().
(A) 188 yuan (B) 192 yuan (C)232 yuan (D)240 yuan.
5. It is known that the circumference of a triangle is, one side is twice as long as the other, and the range of the smallest side of the triangle is ().
Between (a) and (b) and (c) and between (d) and.
6. Two identical bottles are filled with alcohol solution. The volume ratio of alcohol and water in one bottle is 1, and the volume ratio of alcohol and water in the other bottle is 1. Mix the two bottles together, and the volume ratio of alcohol to water in the mixed solution is ().
(A) (B)
(C) (D)
Second, fill in the blanks:
7, known,,, and > >, then =;
8, set a polynomial, when known = 0,; When,,
Then when =;
9. Arrange positive and even numbers into 5 columns according to the table below:
Column 1 column 2, column 3, column 4 and column 5
The first line 2 4 6 8
The second line16141210
Line 3 18 20 22 24
The fourth line 32 30 28 26
…… … … … …
According to the rules in the table, even numbers 2004 should be arranged in rows and columns;
10, Party A and Party B set off at the same time with their backs to point A on the 400m circular runway. Eight minutes later, they met for the fifth time. It is known that Party A walks 0. 1 meter more than Party B every second, so the shortest distance from the place where they met for the fifth time to point A along the runway is _ _ _ _ _ _ _ _ meters;
1 1. Someone asked Miss Li, "How many students are there in your class?" Teacher Li said: "Now half of the students in our class are taking part in the math contest, one quarter are taking part in the music interest group, one seventh are in the reading room, and three female students are watching TV." . So the number of students in teacher Li's class is;
12, as shown in the figure, B, C and D are three points on the line segment AE in turn, and given AE = 8.9 cm and BD = 3 cm, the sum of the lengths of all line segments and five points A, B, C, D and E in the figure is equal to.
13. An individual clothing dealer first buys a batch of children's clothes at the price of every three pieces 160 yuan, and then buys twice as many children's clothes at the price of every four pieces10 yuan. He wants to resell all these two batches of children's clothes at a profit of 20%, so he needs to sell them at the price of _ _ _ _ yuan for every three pieces.
14. If x and y are known to be satisfied, the value of the algebraic expression is _ _ _ _ _ _ _ _.
15,12+22+32+...+N2 =16n (n+1) (2n+1), then 22+42+62+...+.
Third, answer questions:
16, find the integer solution of inequality.
17. When the clock is at 12, the three hands overlap. How many minutes did it take the second hand to set the angle of the minute hand and the hour hand for the first time?
Acute angle) equally divided? (expressed in fractions)
18, Party A and Party B run at a constant speed along the circular runway, and start from both ends of the diameter AB in the opposite direction. When meeting for the first time, it is 0/00 meters away from point A/KLOC-,and when meeting for the second time, it is 60 meters away from point B. Find the total length of the circular runway.
19, five integers A, B, C, D, E, and their sums are 183, 186, 187, 190,19/kloc respectively. be called
(1) Find the values of a, b, c, d, e and x;
(2) If y= 10x+4, find the value of y.
"Hope Cup" Mathematics Invitational Tournament Training Questions 1
Multiple choice questions (only one of the four options in each of the following questions is correct)
The absolute value of 1 -7 is ()
(A)-7(B)-7(C)- 1/7(D) 1/7
2. The value of1999-is equal to ()
(A)200 1(B) 1997(C)200 1(D) 1999
3. Here are four propositions:
There is only one positive integer (1), and its inverse is the same.
(2) There is only one rational number and its inverse is the same.
③ Only one positive integer has the same reciprocal.
(4) There is only one rational number with the same reciprocal.
The correct proposition is: ()
(A)① and ② (B)② and ③
(C)③ and ④ (D)④ and ①
4.4 The similar item of AB C is ()
(A)4bc a (B)4ca b (C) ac b (D) ac b
The output of a product produced by a factory in July was 20% lower than that in June.