First, observe carefully, and I'll calculate. (30%)
1. Write the number directly. (8 points)
100-89= 1.25×4= 7.5+( )= 10
( )×( )= 1 3/8+5/8 = 4/9÷2/3 =
2-( )= 2.4÷( )> 1
2. Find the unknown X. (4 points)
5x-3.5=8 4 ∶ x = 3 ∶ 12
3. Calculate by recursive equation (if it can be simplified, calculate by simple method). (13)
① 13×8× 125
② 8.9×99+ 1. 1×99
③ 12. 12÷(4.3×2-7.4)
④ 4/7×7/24 + 1/5÷6/5
⑤ 1/4 ÷( 1― 1/2 - 1/4 )
4. Only the comprehensive formula is listed, not calculated. (2 points) (unit: cm) (3 points)
What is the quotient of the sum of 4.5 plus 3 divided by their difference?
5. Calculate the volume (unit: cm) of the cone below (3 points).
d = 4; h=6
Second, think about it carefully. I'll fill it out. (2 1%)
(1) The circumference of the equator of the earth is 4075.69 kilometers, and the numbers on the horizontal line are written like this:
(2) 84,000,000 is rewritten as "1 billion", and the number is () 1 billion.
(3) 3 kg 800g = () g 85000ml = () L。
(4) Divide the 3-meter-long iron wire into 5 segments on average, each segment is () meters long.
(5) A =2×3×5, B =3×5×7, and the greatest common divisor of two numbers is ().
(6) () ÷ 24 = ()% = 24: () = () (decimal)
(7) 0.57÷0.06, when the quotient is integer 9, the remainder is ().
(8) 8 is 5 () %32 is greater than 20 ()%.
(9) x/5 = y, and x and y are directly proportional ().
A (10) graph has () symmetry axes.
(11) The mascots of the 2008 Beijing Olympic Games are "Fuwa" (Beibei, Jingjing, Huanhuan, Yingying and Nini), one yuan each, and it costs () yuan to buy a set.
(12) On a large-scale map, 1cm represents the actual distance () km.
(13) Mr. Wang bought the State Construction Bond of 1500 yuan with a fixed term of 3 years. If the annual interest rate is 3%, he can get the principal and interest of 1 * * () RMB at maturity.
(14) The area in Figure 3 on the right occupies the area of the puzzle.
(15) Look at the following set of numbers, find out the rules, and fill in the letters in brackets.
Third, distinguish right from wrong, and I will judge. (4%) (tick in brackets means correct, and x means wrong)
1.0.383838 is a cyclic decimal. ……( )
2. 12/ 15 cannot be converted to a finite decimal. ……( )
My height is 1 to 2 meters. ……( )
From 3: 00 to 3: 10, the minute hand on the clock turned 60 degrees ()
Fourth, I will choose carefully. (4%) (choose the serial number of the correct answer and fill in the brackets)
1. Two numbers that become prime numbers must be ().
① Only the common divisor 1 ② is a prime number ③ There is no common divisor.
2. As shown on the right, fold a square piece of paper in half along the dotted line.
Fold it in half again, make a hole in the middle, and then unfold it.
The expanded graph is ().
① ② ③
3. The sun is shining in Changting at noon today, and the weather in Changting will be () after 12.
(1) The sun is still shining; (2) There can be no sun; (3) Not sure whether there is a sun.
4. The label on the medicine bottle reads "0.2mg (mg) ×60 capsules per bottle; Usage and dosage: 0.4mg "three times a day, 5 days as a course of treatment. A bottle of medicine can be used for () course of treatment.
① 1 ② 2 ③ 3
Fifth, I can draw skillfully. (8 points)
(The side length of each small square in the picture on the right is 1 cm. )
Draw a triangle with the line segment in the picture as the base.
(2) This triangle is a triangle.
The area of this triangle is () square centimeters.
(4) Draw a parallelogram in the drawing, so that the area of the parallelogram is twice that of the triangle.
6. I can solve this problem. (33%)
1, only the comprehensive formula does not count. (10)
A pile of coal used 25 tons, and the rest was 6 tons more than used. How many tons are left?
② Datong Village planned to plant 1 1,000 plants in March, but actually planted 1 1,250 plants. How many percent more trees were actually planted than planned?
(3) For a job, A does it alone for 6 hours, and B does it alone for 4 hours. After A finishes 1/3, how many hours will they need to cooperate?
The naughty family raised 25 rabbits this year, eight fewer than last year's three times. How many rabbits were raised last year?
2. Answer the following questions continuously. (23 points)
(1) Plow a field with a tractor, and it took 45 minutes to plow 1 1/6 hectares, which is equivalent to 1 1/2 1 of the total area of this field. How many hectares is this land?
② Changting Anta Garment Factory plans to make 660 sets of clothes, which has been done for 5 days, with an average of 75 sets per day. The rest will take three days to finish. How many sets do you have to make every day on average?
(3) Car A travels from place A to place B at a speed of 70km/h and takes 5 hours to arrive. If it takes 4 hours to get there, how many kilometers do you need to drive per hour? (Use proportional solution)
(4) Several large columns in nanzenji Ursa Hall should be painted. The circumference of the column bottom is 2.5 meters and the height is 5.2 meters. According to 1 kg paint, you can draw 5 square meters. How many kilograms of paint does it take to draw a big cylinder?
⑤ The following is the statistics of water and electricity consumption in Mao Mao in the first quarter of this year:
1 June1February1March1April1
Water meter reading (ton) 90110135165
Meter reading (kWh) 180 230 275 330
(Tip: If you want to calculate the water and electricity consumption in June of 5438+ 10, you should subtract the water and electricity meter reading in February from the water and electricity meter reading in February. )
A. If the water fee per ton is 1.8 yuan, how much water fee will be paid in February?
B. If the electricity bill for June 5438+ 10 is 25 yuan, what is the unit price of the electricity bill?
C. Please ask a math question and answer it.
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