People's education printing plate sixth grade second volume mathematics examination paper topic
First, fill in the blanks. (Per grid 1 minute, ***23 points)
1, a seven-digit number, the highest digit is the smallest odd number, the ten thousand digits are the smallest composite number, and the thousand digits are the largest.
One digit, the rest digits are all 0, and this number is (). Wan?
The number of units is ().
2、0.8=4? ( )=( ):25= 16( ) =( )%。
3. 4 tons and 50 kilograms = () tons 1.2 hours = () hours () minutes.
4. Cut a 4-meter-long log into 5 sections, each section has the same length, each section is full-length (), and each section is long.
() meters. If it takes 3 minutes to chop a piece of wood at a time, * * * will take () minutes to finish.
5. Cut a 2-meter-long cylindrical wood into three small cylinders, and the surface area increased by 50.24 square centimeters. The original volume of this wood is ().
6./kloc-plant trees on both sides of the 0/00-meter sidewalk, and plant one tree every 4 meters (both ends should be planted).
7. The average of A and B is 40, and the ratio of A and B is 3:5, so the larger number is
( )。
8、A+B=60，A？ B=，A=()，B=().
9, 1964 10 16 10, China's first atomic bomb test was successful, and there were () throughout the year.
June, this year's 10, 16 is the anniversary of ().
1 1. Put eight red, yellow, blue and white balls in a bag. At least () balls must be taken to ensure that two balls of the same color are taken.
12. Teacher Zhang deposited 500 yuan's money in the bank with a fixed term of 2 years and an annual interest rate of 2.25%. At maturity, he can withdraw () yuan from the bank.
13. The number of girls in grade six in a school is male, and the ratio of the number of boys to the number of students in the class is (), and the number of girls is less than that of boys ()%.
Second, the judgment question. (Right? , wrong number? х? . ) (5 points)
1, the sum of two acute angles of an obtuse triangle must be less than 90 degrees. ( )
2. When a number (except 0) is divided by the false fraction, the quotient must be less than the dividend. ( )
3. The radius of a circle is proportional to its area. ( )
4.a is a natural number, and its reciprocal is. ( )
5, a number? = B number? , a number is less than b number. ( )
Third, multiple choice questions. (Choose the serial number of the correct answer and put it in brackets) (5 points)
1. If it is a false score, a should be ().
a、5 B、6 C、7 D、8
2, a triangle, the ratio of three internal angles is 2:5:3, then this triangle is ().
A, obtuse triangle b, right triangle c, acute triangle
3, A manuscript, A alone hours, B alone hours, A and B work efficiency ratio is ().
A, B, C, IV, III
4、a？ B = 5 (both A and B are natural numbers not equal to 0), and the greatest common divisor of A and B is ().
a . a . b . c . 5
5, water into ice, volume increase, ice into water, volume decrease ().
A, B, C,
Fourth, calculation. (33 points)
1, a number written directly. (5 points)
1? = 0.2? = ? 4= 0.25? 17? 4= 1 - + =
4.5+0. 125- = 2.5-2 = + = 0? = 10- - 1.2=
2, calculation, simple calculation should be simplified. (18)
? +3? 4? ( + - )? ( ? 0.25)? ( ? )
3.68? [ 1? (2 ? 2.09)] 37 - 18.52+ 12.6- 1.48 ? [ ? ( ? )]
3. Find the unknown X. (4 points)
=0.5:2 X- X+6= 16
4. Solution of formula or equation. (6 points)
① 38 of a number is 5 less than 5 17 of 34. How did you find this number?
Divide 26 by the quotient of 1.5, subtract 3 and multiply 3. What is the product?
V. Operational problems (8 points)
1. Take three points on two parallel lines to form triangle ABC. See figure a on the right
(1) Draw the height of the alternating side of the triangle. ( 1)
(2) Measure relevant data (take whole centimeters) and calculate triangle ABC.
The area of. (2 points)
B.C.
(3) Draw a triangle with the same area as the triangle ABC between the two parallel lines on the right. (2 points)
2. Find the area of the shaded part in the figure. (Unit: cm) (3 points)
Sixth, the application problem. (26 points)
1, please choose a question to fill in the horizontal line and solve it with proportional knowledge.
It's dawn and you can walk 325 meters in 5 minutes. According to this calculation, _ _ _ _ _ _ _ _ _ _ _ _ _ _?
(1)/kloc-how many meters can you walk in 0/8 minutes? ② The distance from home to school is 1300m. How many minutes does he have to walk? (4 points)
Teacher Zhang borrowed a book. On the first day, he read 30% of the whole book. The next day, he read less than the whole book 14 pages. In two days, he read 70 pages. How many pages are there in this book? (5 points)
A bus and a truck leave from two cities at the same time. The bus travels 40 kilometers per hour, and the speed of the truck is the speed of the bus. The two cars met in 2.5 hours. How many kilometers are the two cities apart? (4 points)
The people waiting for the bus line up at a bus stop, and so does Liu Bing. He counted and found that the person in front was the total and the person behind was the total. How many people are waiting in line? (5 points)
5. Roller, front wheel diameter 1 m, wheel width 1.2 m, rolling 15 turns per minute when working. What is the road surface that the front wheel of this road roller runs over 1 min? What is the work ahead of time 1 minute? (5 points)