I. Fill in the blanks (22 points)
The decimal units of 1 and 2/9 are (), and it has () such decimal units, plus () such units is the smallest prime number.
2、
① 7.2 cubic decimeter = () cubic centimeter ② 5 liters = () milliliter.
③ 2 10 = () ④ 64 square kilometers = () hectares.
3. Divide a 7-meter-long rope into four sections on average, each section is () of this rope, and each section is () meters.
4. If A=2×3×5 and B=2×2×5, the common divisor of A and B is (), and the least common multiple is ().
5. A simplest true fraction, the product of numerator and denominator is 5 1, and this fraction may be ().
6,18 ÷ () = 6/25 = () ÷125 = () [decimal]
7, in 3/7, 8/ 13, 7/20, 15/22, 18/29, can be converted into a finite score is ().
8. At least () identical small cubes are needed to form a larger cube.
9. A cube has a surface area of 234 square meters, a side length of () meters and a volume of () cubic meters.
10, choose a few numbers from 1, 2, 3, 4, 5, 6, 7, 8, 9, and write three equal scores () = () = ().
Two. Judgment (mark "√" for the right and "×" for the wrong) (5 points)
1 has only one decimal, less than 0.8 and greater than 0.6. ……( )
2,5/8 tons can be expressed as either 5/8 of 1 ton or 5 tons of 1/8. ……( )
3. The side length is a square with a natural number, and the perimeter must be a composite number. . ……( )
The surface area of a cube with a side length of 6 cm is equal to its volume. ……( )
There is a cuboid and a cube, and their volumes are equal, so their surface areas must be equal. ……( )
Three, multiple-choice questions (choose the serial number of the correct answer in brackets) (5 points)
1, a cuboid, its length, width and height are 4cm, 3cm and 2cm respectively, so its volume is ().
① 12cm3，② 24cm3，③ 36cm3。
2, divided by 3, 5 and 7, gives the number of 2 ().
① it must be 105, ② it must be 107, ③ it must be 37, ④ there are countless.
3. Two ropes with the same length, the first one is cut by 4/5 meters, and the second one is cut by 4/5 rope length. Which one has been cut off more? ( )
① First root, ② Second root, ③ Not sure.
4. A and B are both natural numbers, and a=4b, then the common divisor of A and B is (), and the least common multiple is ().
① 4，② b，③ a，④ ab
5. Among the following groups of numbers, only two common divisor 1 are ().
① 13 and 9 1, ② 26 and 18, ③ 9 and 85, ④ 1 1 and 22.
Four, calculation (28 points)
1, write the number directly (10 points)
1/2+2/3 = 0.8+4.2 = 7/8 +3 = 2/5 - 1/ 10 =
1.2 - 1/5 = 5/ 13-2/39 = 1 -5/ 19 = 7.7 +3/ 10 =
12/5 -2 = 5 -9/ 16 = 1/ 100- 1/ 1000= 1/ 100+ 1/ 1000=
2, how to calculate how simple (12 points)
① 14/ 15-(6/ 15 + 1/3) ② 13/5-0.8 1 -0. 19
③ 7/8+ 1/8 -5/9 -4/9 ④ 5 -(0.5 -3/ 10 )
3, solve the equation (6 points)
①4-X-5/7 = 1②6X-0.8 = 1 1.2
Five, text questions (6 points)
1, the sum of two numbers is 4/7, and one of the addends is 1/7. What is the other addend?
2.5 times x times the product of 26 and 2, and the sum is 1 13. Looking for X.
Six, the application problem (34 points)
1, a pile of sand and gravel, used 35 tons, leaving 15 tons, and the remaining sand and gravel accounts for a fraction of this pile of sand and gravel? (5 points)
2. 8/9 hectares of a vegetable field, 2/9 of kind of garlic, 4/9 of spinach and the rest of radish. What is the proportion of radish planted in this land? (5 points)
A car travels 50 kilometers in 40 minutes. How many kilometers per minute do you drive on average? How many minutes does it take to drive 1 km on average? (5 points)
4. In the first quarter of this year, the machine tool plant completed 4/9, 5/9 and 2/3 of the tasks respectively, and how many parts exceeded the plan in the first quarter? (5 points)
5. A cuboid reservoir, length10m, width 5m and depth 3m. (6 points)
What is the area of this reservoir?
(2) daub cement on its periphery and bottom, 5 kilograms of cement per square meter, one * * *, how many kilograms of cement is used?
(3) If the pool is full of water, how many tons of water can a * * * inject? (1 m3 water weight 1 ton)
6, a factory in each workshop number chart (8 points)
(1) The vertical axis represents () and the horizontal axis represents ().
(2) () The workshop has the largest number of people and () the workshop has the least number of people.
(3) The number of people in the second workshop is the number of people in the first workshop (); The number of people in the third workshop is () times that in the fourth workshop.
(4) How many people are there in each workshop on average?