(Time 100 minute, full mark 100 minute) Score _ _ _ _ _ _ _ _
1. Fill in the blanks (***20 points, including 2 points for 1 question and 2 points for the second question, each being 1 point).
1, 3 and 1/2 tons =( 3) tons (500) kg for 70 minutes =( 1 and 1/6) hours.
2、(4)∶(5)=40:( 50 ) =80%=(32)÷40
3.( 10) ton is 30 tons 1/3, and 50m is more than 40m (25 )%.
There are 48 students in Class 6 (1) today, and two of them are on leave due to illness. The attendance rate of students in Class Six (1) today is (96%).
The ratio of 5.0.8: 0.2 is (4), and the simplest integer ratio is (4: 1).
6. The number of students in a class is between 40 and 50, and the ratio of male to female is 5: 6. There are 20 boys and 24 girls in this class.
7. From City A to City B, it takes 5 hours by truck and 6 hours by bus. The simplest ratio between truck speed and bus speed is (6∶5).
8. Master Wang's monthly salary is 5000 yuan. According to the new national tax law, the part exceeding 3,500 yuan is subject to 5% personal income tax. Master Wang's actual monthly salary is (4,750 yuan).
9. Xiaohong 1/5 hours for 3/8 kilometers. She travels (15/8) kilometers per hour, and it takes (8/ 15) hours to travel.
10. Use a rope with a length of 12.56m to form a circle. The diameter of this circle is (4m) and the area is (12.56m).
1 1. On a rectangular iron plate with a length of 10 decimeter and a width of 5 decimeters, at most (10) circular iron plates with a diameter of 2 decimeters can be intercepted.
12, please fill in the appropriate graphic name in brackets according to the number of graphic symmetry axes. Circle, (Pentagon), (square), rectangle.
Two. Judgment (5 points, mark "√" correctly and "×" wrongly)
The 7m 1, 1/8 are as long as the 8m 1/7. ( × )
2. The areas of two circles with equal perimeters must also be equal. ? ( √ )
3.1100 and 1% are fractions with denominator of100, and their meanings are exactly the same. (×)
4.5 kg of salt is dissolved in 100 kg of water, and the salt content of brine is 5%. ? ( × )
5. The previous item of the ratio increased by 10%. To keep the proportion unchanged, the latter term should be multiplied by 1. 1. ? ( √ )
III. Choice (5 points, fill the serial number of the correct answer in brackets)
1. If a is a non-zero natural number, the largest calculation result in the following formula is (b).
A.a × 5/8 B. a÷ 5/8 C. a ÷ 3/2 D. a ×3/2
2, a rope is cut into two sections, the first section is 3/7 meters long, and the second section accounts for 3/7 of the total length, compared with (a).
A. the first paragraph is B. the second paragraph is C. the same length is D. it cannot be determined.
3. The forest farm planted 10000 seedlings last year, of which 1000 seedlings were randomly selected at the end of the year, with a mortality rate of 2%. You predict that the survival rate of these saplings planted in the forest farm is (D).
A.20% b 80% c 2% d 98%
4, a farm, raising 1200 ducks, raising 3/5 more chickens than ducks, how many more chickens than ducks? The correct formula is (a) a.1200× 3/5b.1200+1200× 3/5c.1200-1200× 3/5d.655.
5. To cut a circular paper with an area of 12.56 cm2, at least a square paper with an area of (c) cm2 (π is 3. 14) is needed.
A. 12.56
Four, the calculation problem (***35 points)
1, write the number of 5 points directly.
6/7 ÷ 3 = 2/7 3/5×1/5 = 3/25 2-3/7 =1and 4/7 1+2% = 1.02.
7/8 ÷7/ 10 =5/4 5÷2/3 =7.5 4/3×75% = 1 7/8 ×4×8/7 =4
1/6+5/6×15 =12 and1/3/2× 99+99×12 = 99.
2. 9 points for solving equation
X-2/7 X = 1/ 14 X÷ 1/8 = 1/5×2/3 40% X- 1/4 = 7/ 12
5x = 1/2 x = 16/ 15 2x/5 = 5/6
X =110x = 2 and112.
3. How to calculate the score of 12 is as simple as the following questions.
7/2 ×5/8-3/2 ÷8/5 1-5/8 ÷25/28 -3/ 10
=(7/2-3/2)×5/8 =7/ 10-7/ 10
=5/4 =0
(2/3 +4/ 15 ×5/6 )÷20/2 1 4/5 ÷[(3/5 + 1/2 )×2]
=8/9×2 1/20 =4/5×5/ 1 1
= 14/ 15 =4/ 1 1
4, column comprehensive formula or equation calculation 6 points
1, 20% of a number is 100, what is 3/5 of this number?
100÷20%×3/5= 12
2. 5/8 of a number is 4 and less than 20. What's this number?
(20-4)÷5/8=25.6
VI. Application Problems (***3 1 min)
1, only column types are not counted (8 points):
Wangzhuang Coal Mine produced 2.5 million tons of coal last year, an increase of 250,000 tons this year. What percentage has the output increased?
25÷250× 100%
(2) The original story book of 20 yuan is now sold at 10% off the original price. What's the current price?
20×90%
③ Repairing a batch of books, 30 books have been repaired, accounting for 25% of the number of books that have not been repaired. How many books are there in this batch?
30+30÷25%
(4) Xiaohua's father deposited 5,000 yuan in the bank for two years at an annual interest rate of 2.70%. How much interest can he actually get at maturity? 5000×( 1+2.70%)? -5000
2. Answer the following questions completely (***23 points, including 3 points for the fifth question and 4 points for each other question):
① Hong Guang Soap Factory has produced 45,000 boxes of soap in February, and 2/5 of them have not been produced. How many boxes of soap are planned to be produced in 65438+February? 45000( 1-2/5)= 75000 (box)
② A highway maintenance team plans to build a highway with a length of 1200m. 15% of the total length was repaired in the first week, and 1/3 of the total length was repaired in the second week. How many meters is the first week less than the second week? (1/3-15%) ×1200 = 220 (m)
③ The school has 180 basketball, football and volleyball. It is known that the ratio of basketball, football and volleyball is 5: 4: 3. How many balls are there? Basketball, football and volleyball each have 180×5/(5+4+3)=75 (pieces), 60 pieces and 45 pieces.
Chicken and rabbit live in the same cage, with 25 heads and 80 legs. How many chickens and rabbits are there? (hint: suppose they are all rabbits, and how many legs do they have)
⑤ The sixth grade students signed up for a math interest group, and the number of participants was 65438+ 0/3 of the total number of sixth grade students. Later, 20 students took part. At this time, the ratio of students who participate and students who do not participate is 3: 4. How many people are there in Grade One and Grade Six?
Let * * * have x people, then (x/3+20): [x-(x/3+20)] = 3: 4.
3x x 60 = 4x/3+80
2x/3= 140
X=2 10 (person)