The total score of the topic is one two three four five six.
Take the lead
First, think carefully and fill in correctly (20 points)
1. Read the information below and fill in the blanks according to this information.
(1) There are () days left this year, and the track and field finals of the 29th Olympic Games will be held for () days.
(2) The total construction area of the Olympic Village is () hectares.
(3) BOCOG's budget "expenditure" is pronounced as (), and the mantissa after income is about () billion dollars.
(4) "48%" means that () is regarded as the unit "1". If there are n respondents in Beijing, there are () who plan to take annual leave during the Olympic Games.
2. 1 ÷ 4 = () 20 = 4: () = ()% = () (decimal)
The decimal unit of 3256 is (), and then subtracting () is the smallest prime number.
4. In the photo, Liu Xiang's height is 5cm, but in fact, Liu Xiang's height is1.88m. The scale of this photo is ().
5. A rope is 5 meters long and divided into 8 segments on average, each segment is () meters long, and each segment accounts for () () points of the total length.
6.A = 2× 3× m, B = 3× 5× m (m is a natural number, m≠0). If the greatest common divisor of A and B is 2 1,
The least common multiple of a and b is ().
7. Someone plowed for 20 A Mu days in sunny days and only 12 A Mu days in rainy days. He plowed 1 12 mu for several days, with an average of 14 A Mu days, so there were () rainy days these days.
8. Cut a 2-meter-long straight cylindrical wood horizontally by 2 decimeters. Compared with the original, the surface area of the remaining cylindrical wood is reduced by 12.56 square decimeter. The original bottom area of cylindrical wood is () square decimeter and the volume is () cubic decimeter.
Two, careful scrutiny, distinguish between right and wrong (correct "√", incorrect "×") 5 points.
1, the area of a circle is proportional to its radius ...................................................... ().
2. The height of Xiao Qiang is 1.45 meters. He waded across a river with an average depth of 1.3 meters, and there was definitely no danger ()
3. A batch of products *** 120, of which 100 is qualified, and the qualified rate is 100%. ………………( )
4. If the volume of the cone is cylindrical, the height of the cone and the cylinder is equal. …………………( )
5. According to the laws of 1, 8, 27, (), 125, 2 16, the number in brackets should be 64. ………( )
3. Repeated comparison and careful choice. (Put the serial number of the correct answer in brackets) 5 points.
1, in the figure on the right, the area relationship between A and B is ().
A，A > B，A < B C，A = B。
2. The volume of a math book is about 1 17 ().
A, cubic meter b, cubic centimeter c, cubic decimeter
3. In the picture below, only one symmetrical drawing is ().
A, rectangle b, isosceles triangle c, circle d, parallelogram
4. Wang has the same amount of 5 yuan and 1 yuan pocket money, so the following answer may be ().
A, 38 yuan B, 36 yuan C, 28 yuan D, 8 yuan
5. In project A, it takes 3 hours for A to be carried out alone and 3 hours for B. The efficiency ratio of A and B is ().
a、5∶24 B、 15∶8 C、24∶5
Four, careful examination, careful calculation (***35 points)
1, the number written directly (5 points)
20×500= 2÷7= 10-0.95= 0.48÷0. 12= 1.2÷67 =
34 + 13 = 123 × 15= 2- 67 = 176+99= 1÷ 12 - 12 ÷ 1=
2. Simply calculate the following questions (18 points).
36 18 ÷45 + 1620 67 -67 ×( 23 + 19 )
200.8×73-6.3×2008 1 18 ÷( 14 + 2.5×45 )
99-97+95-93+9 1-89+…+7-5+3- 1 2008÷200820082009
3, solve the equation (4 points)
( 1)x∶ 1.2 = 34(2)x-35 x = 3 15
4, only the column type is not calculated (4 points)
What is the product of (1)1.2 minus 4.6 times 25 plus 16?
(2) 34 of a number is 1.5 which is more than 25% of 30, so find this number.
5, find the shadow area (80 square centimeters of blank area) (4 points)
Five, observation and thinking (4 points)
On May 12, 2008, an earthquake of magnitude 8.0 occurred in Wenchuan, Sichuan, China. A primary school student enthusiastically donated money to the disaster area.
Grade donation amount (1) ()
It's only () yuan at most.
(2) The second level of donations is the fourth level.
()% of the donation amount.
(3) The donation in grade three is higher than that in grade four.
More than ()%.
(4) The average donation per grade is about
() yuan. (Numbers are reserved as integers)
Six, into life, solve problems
(a) only column type is not calculated (6 points)
1, Li Hong has 22 story books, 7 less than Wang Ling. How many story books do Li Hong and Wang Ling have?
2. For a batch of parts, it takes 12 days for Party A to do it alone, and 8 days for Party B to do it alone. With the cooperation of Party A and Party B, how many days can we complete the 12 of this batch of parts?
3. The express train and the local train leave from two opposite cities at the same time, and meet at the midpoint 18km after four hours. It is known that the express train is 70 kilometers per hour, and how many kilometers per hour is the local train?
(2) Solving problems (25 points)
1, a shopping mall promotion, some goods are on sale at a discount. My mother spent 240 yuan in the shopping mall to buy a dress, which is cheaper than the original price by 60 yuan. How much is the discount on this dress?
Aunt Zhang went to the supermarket and bought 4 Jin of bananas and 3.5 Jin of apples, 24.2 yuan. It is known that bananas are 3.6 yuan per kilogram, and how much are apples per kilogram?
The swimming pool is filled with an empty swimming pool 50 meters long, 25 meters wide and 1.6 meters deep. After 0.6 hours, the water depth reached 0.2 meters. In this case, how many hours can the swimming pool be filled? (Answer with proportional knowledge)
4. Conical sand pile with a bottom radius of 2m and a height of 15 decimeter. If the sand weighs 5.8 tons per cubic meter, how many tons are there in this pile? (Keep the whole ton as a figure)
Xiaojie reads a story book, and the ratio of the number of pages she has read to the remaining pages is 2: 3. Xiao Jie's good friend Xiaoling found that the number of pages Xiao Jie read was 28 pages less than the total number of pages in this book. How many pages does this story book have?
Scoring criteria and reference answers
I. Fill in the blanks ***20 points
Scoring standard: 2 points for each event in questions 2, 6 and 7, and 1 point for each other event.
1、( 1)366; 10 (2) 47 (3)1609 million USD; 16(4) Beijing respondents; 48% nitrogen
2、5; 16; 25; 0.25
3、 1 6 ; 5 4、 1∶37.6 (5: 188) 5、 5 8 ; 1 8
6,2107,6 days 8,3.14; 62.8
Second, true or false, * * * 5 points for each question, 1 point.
1、× 2、× 3、 × 4、 × 5、 √
Third, the choice, * * * 5 points per question 1 point.
1、C 2、B 3、B 4、B 5、C
Fourth, calculation
1, the number written directly is 0.5 for each small question (the answer is abbreviated)
2, each small question 3 points, simple but not simple, the calculation result is correct 2 points; Give points to each small question step by step.
36 18 ÷45 + 1620 67 -67 ×( 23 + 19 )
= 80.4+ 1620 ...........2 points = 67-67× 79.
= 1700.4 ........... 1 = 67-23
=42 1
200.8×73-6.3×2008 1 18 ÷( 14 + 2.5×45 )
=2008×(7.3-6.3) = 1 18 ÷2 14
=2008 = 12
99-97+95-93+9 1-89+…+7-5+3- 1 2008÷200820082009
=2×50÷2 = 2008×20092008×2009+2008
=50 =2008×20092008×20 10
=200920 10
3. Solve the equation (***4 points, 2 points for each question)
( 1)x =0.9 (2)x =8
4, only the formula is not counted, ***4 points, and 2 points will be deducted for each correct formula.
( 1)( 1 1.2-4.6)×(25+ 16)
(2) (30× 25%+ 1.5) ÷ 34 or the column equation: 34 x = 30× 25%+ 1.5, etc.
5, find the shadow area (80 square centimeters of blank area) (4 points)
(1) diameter: 80×2÷8=20 (cm) radius: 20÷2= 10 (cm) 2 minutes (2) semicircular area: 3.14×10.
Five, observation and thinking ***4 points, each small 1 point.
( 1) 6; 5400 (2)85% (3)5% (4)4283
Six, into life, solve problems
(a) only column type does not calculate ***6 points, each 2 points.
1, 22+22+7 2,12 ÷ (112+18) 3,70-18× 2 ÷ 4 or (?
(2) *** 25 points for solving problems, 5 points for each question, including 3 points for correct formulation, 2 points for correct calculation, and extra points for step-by-step calculation.
1, 240÷(240+60)=0.8= 20% discount.
2, (24.2-3.6× 4) ÷ 3.5 = 2.8 (yuan)
3. Solution: Set X hours to fill the swimming pool.
0.20.6 = 1.6x gives x=4.8.
4. 15 decimeter =1.5m13× 3.14× 2×1.5× 5.8 ≈ 36 (ton)
Or step by step:13× 3.14× 2×1.5 = 6.28m3 6.28× 5.8 ≈ 36 (ton).
5,28 ÷ (34-25) = 28 ÷ 720 = 80 (page)
The exercise question is definitely not an entrance placement paper question.