Mathematical problems in the simulation test of junior high school in grade six;
First, the calculation problem.
1. Write the number directly.
5 10+240= 3- 1.06= 2.4? 5=
12.56? 3. 14=
2. Calculate the following questions.
(1) Recursive Equation Calculation:
(2) Solve the equation:? (? +50%)= 16
(3) Simple calculation:
49.5? 13.5+50.5? 13-0.5? 49.5
3. Solve the following text questions continuously.
What's the (1) number?
(2) The difference of subtraction of 24 is equal to 40% of a number, so find this number. (column equation solution)
Second, fill in the blanks.
1. A computer can complete 7050640 calculations in 1 second. The number on the horizontal line is written as (), and the approximate number rounded to hundreds of millions is ().
2. What if? +1=b (where? B is not equal to 0), then? The greatest common factor of and b is (), and the smallest common multiple is ().
3. If four numbers -2.5, 1. 125,-and 2 are represented on the number axis, where () is farthest from the zero point.
4. The bottom area of the right cylindrical cup is equal to the bottom area of the conical cup. Fill the conical cup with water and pour it into the cylinder. At least pour () cups to fill the tank.
There are 5 boxes of fruit in the shop. After taking out 6 kilograms from each box, the remaining fruit is exactly the mass of the original 3 boxes of fruit, which originally weighed () kilograms.
6. The picture on the right is composed of a small cube with a side length of 1cm. It uses () small cubes with a surface area of () cm2.
7、3? +2b+5= 10.8, so 6? +4b-5=().
8. Build a square with sticks according to the following rules. Four sticks represent one, seven sticks represent two, () sticks represent 10, and () sticks represent n..
9. Two 3cm sticks, 1 7cm stick and two 8cm sticks can form () different triangles.
Third, judge the question.
1. The area of a circle is proportional to its radius. ( )
2. From a point outside the straight line to the line segment of this straight line, the line segment perpendicular to this straight line is the shortest. ( )
3. The product of two prime numbers contains only two divisors. ( )
4. Original price of a children's coat 100 yuan. After the price is reduced by 20%, the price is increased by 20%. At this time, the price of this children's coat remains unchanged. ( )
5.4.9? When the quotient of 8 has two decimal places, the remainder is 2. ( )
Fourth, multiple choice questions.
1. The rotation speed of the minute hand on the clock face is () times that of the hour hand.
A.60 B. 12 C.6
Class 2.6 has a classmate A (1), which is twice as few as Class 6 (2). The number of people in class 6 (2) is () obtained by a formula containing letters.
A.2a+b B.(a-b)？ 2 C.a？ 2-b D.(a+b)？ 2
3. The actual length of a precision part is 8 mm, and it is 4 cm on the drawing. The scale of this picture is ().
a . 1∶2 b . 2∶ 1 c . 5∶ 1d . 1∶5
4.6 The referee scores a gymnast. If the highest score is removed, the average score is 9 points; if the lowest score is removed, the average score is 9.5 points, and the difference between the highest score and the lowest score is ().
A.2.5 points, B.3 points and C. Not sure.
A clothing factory used to make a kind of children's clothing, and the cloth was 2.2 meters at a time. Now the cutting method has been improved, and each set saves 0.2 meters of cloth. At first, it took 600 sets of cloth to make this kind of clothing. How many sets can we do now? The correct formulation is ().
A.600-600？ (2.2-0.2) B.600？ 2.2? (2.2-0.2)
C.600？ 0.2? (2.2-0.2)
Verb (abbreviation for verb) is true or false.
1. Xiaoming read a science book. On the first day, he read 55 pages. The next day, he finished reading the whole book, and the number of pages on the second day was just 20% more than on the first day. How many pages are there in this book?
2. A ship sailed from Port A to Port B at a speed of 32 kilometers per hour and arrived in 6 hours. It took five hours to return from port B to port A, and how many kilometers per hour was the return journey? (Answer with proportional knowledge)
3./kloc-a batch of parts will be processed in 0/5 days. If A works for 3 days and B works for 5 days, all tasks can be completed. It is known that B makes 18 pieces every day. How many parts are there in this batch?
4. Two cars, A and B, leave from A and B respectively at the same time. After five hours of meeting, they left separately. Three hours later, a car arrived at B. At that time, B car was still 240 kilometers away from A.
How many kilometers is it between A and B?