A level (lively topic \ wide knowledge)
Read the questions carefully and fill in the blanks carefully. (0.5 points for each question in 1~ 12, 13~ 17, 1)
1. In the charity fund-raising activities for the earthquake-stricken areas, the total amount of donations and materials from all walks of life at home and abroad was 45.032 billion yuan, written as (45032000000) and rewritten as (45.032) billion yuan.
2. The 80 torchbearers of Beijing Olympic Games carried the torch relay distance of 16km, each ran (200) meters, and each ran (1 )( 80) the whole distance.
3, 40 kg = (0.04) tons 6000 square decimeters = (60) square meters.
1.25 hours = (75) minutes 2.08 liters = (2080) milliliters.
4. The greatest common factor of12 and 16 is (4), and the smallest common multiple is (48).
5. Xiaohong's time from home to school is directly proportional to her speed, and the number of copies of the math newspaper in Class 6 (3) is directly proportional to the total amount of money.
6. The PLA soldiers conducted a shooting test, and each of the five soldiers fired 50 bullets. Eight bullets missed, and the hit rate of this test was (96.8%).
7. Miss Li bought five pens and five ballpoint pens, each of which was a yuan and b yuan, and * * * spent 5 yuan (A+B). He paid 100 yuan and should get it back (100-5 (A+B)).
8. As shown in the figure on the right, the shaded area is (12.56) square decimeter.
9. (4) ÷ (5) = 20: (25) = (12)15 = 0.8 = (80)% = (8) times.
10, Xiaoming and Xiao Qiang play dice. If the number of rolls is less than 3, Xiao Ming wins; If the number of rolls is greater than 3, Xiao Qiang wins. The probability of Xiao Ming winning is (13), and that of Xiao Qiang winning is (12). Are the rules of the game fair? (unfair)
1 1, 52: 1.25 The simplest integer ratio is (2: 1), and the ratio is (2).
12. The scale of the map means that the distance (1) cm on the map is equivalent to the actual distance (30).
Kilometers, if the actual distance of 75 kilometers on the map should be (2.5) cm, then the scale of this line segment is (1: 3000000).
13. In the activity of greening the campus, in Class 6 (1), boys planted 50 trees and girls planted 40 trees, and girls planted 20% less than boys.
14, 34 of a box of apples is equal to 58 of a box of pears, so the weight ratio of a box of apples to pears is (6: 5).
15. Distribute 4 tons of chemical fertilizer to villages A, B and C according to 1: 3: 4. Village B got this batch of chemical fertilizer (3)(8), and Village A got (0.5) tons.
16. Make a cube frame with a length of 48 decimeters. The cubic frame has a surface area of (96) square decimeter and a volume of (64) cubic decimeter.
17, "six? 6? During the period of "1 1", a shopping mall held preferential activities. After a 20% discount on a suit, 160 yuan. The original price of this suit is 200 yuan, with a discount from 40 yuan.
Second, choose carefully and choose the best among the best. (65438+ 0 points for each question, 8 points)
1, the number closest to 9000 among the following numbers is (a)
a，8990 B，0.9 10000 c，9999 D，08900。
2. RT Mart supermarkets use the "Happy Turntable" to hold promotional activities in summer (as shown on the right). If the pointer falls in the red area, it means winning the toy car, so the possibility of winning the toy car is (a).
a、 12.5% B、 12% C、 13% D、 14
3. Divide a rope into two sections, the first section is 59 meters long, and the second section accounts for 59% of the total length. Compare the lengths of these two paragraphs (b).
A, the first paragraph length b, the second paragraph length c and the same length d are not comparable.
4, a column of graphics in the number of symmetry axis is the most (B)
a、B、B、C、D
5. In the following relation, x and y in (c) are not proportional.
a、X× 1Y =3 B、5X=6Y C、4÷X=Y D、X= 13 Y
6, there is a watch parts 5 mm long, the length of the design drawing is 10 cm, the scale of the drawing is (b).
a、 1∶20 B、20∶ 1°C、 1∶2 D、2∶ 1
Xiaoming is two years older than Xiao Qiang and four years younger than Xiaohua. If Xiao Qiang is Y years old and Xiaohua is D years old.
a、Y-2 B、Y+2 C、Y+4 D、Y +6
8. It is known that a× 56 =135× b = c23 = d-150%, and a, b, c and d are not equal to 0, then the smallest number among a, b, c and d is (b).
A、A B、B C、C D、D
Third, carefully examine the questions and calculate them carefully. (***23 points)
1, see who is faster. (0.5 points for each question, 5 points)
0.36+ 1.7=2.06 56 ×8 15 =49 0.32×0.05=0.0 16 1.2÷67 = 1.4 25 ×34 ÷25 ×34 =9 16
6.8- 1.08=5.72 50×30%= 15 87 -34 - 14 = 17 0. 18÷0. 12= 1.5 (38 +34 )×8=9
2. See who is right. (2 points for each question, 12 points)
7.2×99+7.2 5-(67 ÷3 14 +3 16 ÷38 ) (57 +227 )×7+ 1327
=7.2×(99+ 1) =0.5 =57 ×7+227 ×7+ 1327
=720 =6
0. 125×2.5×3.2 1.05×(3.8-0.8)÷6.3 34 ÷〔(35 - 14 )×37 〕
=(0. 125×8)×(2.5×0.4) =0.5 =5
= 1
3, skillfully solve the unknown X. (2 points for each question, 6 points)
X-85% X = 1.05 X∶5 14 = 2 1∶58 4.5X-0.5 = 8.5
X=7 X= 12 X=2
Fourth, practice with your head. (*** 10 point)
1, observe first and then fill in the blanks. (65438+ 0 points per grid, 2 points)
1+3=4=22 1+3+5=9=32 1+3+5+7= 16=42 ……………………
1+3+5+7+……+ 19=( 100 )=( 102 )
2. The following is the plan of Shatou Town. Please draw the location of this place on the floor plan. (65438+ 0 points for each question, 4 points)
① Shatou Central Primary School is 800 meters east of the traffic control office.
② Shatou Post Office is located at 700,450 northeast of Traffic Management Office.
③ Shatou Xingfu Village is located at 400 and 300 southwest of the Traffic Control Office.
(4) Traffic Management So there is a high-grade highway at 500 south along the Yangtze River, which is parallel to Shisha Road.
3. There is a triangle with three vertices at A (2 2,8), B (2 2,5) and C (4 4,5) respectively. (65438+ 0 points for each question, 4 points)
Draw this triangle first. ② Rotate the triangle 90 degrees clockwise around point C. 。
③ Translate the rotated triangle by three squares to the right, and then by two squares downward.
④ Enlarge the rotated triangle by 3∶ 1
5. Go into life and solve problems. (***36 points)
(a), the following questions, only the column equation or comprehensive formula is not calculated. (2 points for each question, 8 points)
1, a 240-page book, Xiaohong read 20% on the first day and 30% on the second day. How many pages did she read in two days?
240×(20%+30%)
A shopping center sold 45 TV sets yesterday, 75% more than the washing machines. How many washing machines were sold yesterday?
Solution: Suppose X washing machines were sold yesterday. 75%X+3=45
The garment factory wants to produce 6000 sets of garments, 40% of which have been produced in the first five days, and the rest will be completed in six days. How many sets of clothes will be produced on average every day?
6000×( 1-40%)÷6
4. Uncle Wang deposited RMB 65,438+00,000 in the bank for three years at an annual interest rate of 5.40%. After deducting 5% interest tax, how much interest did Uncle Wang actually earn?
10000 ×5.40%×3×( 1-5%)
(2) Solve practical problems. (4 points for each question, 28 points)
1. The actual investment in the central primary school complex is 2.3 million yuan, which is 200,000 yuan less than planned. What percentage was saved?
(92%)
2. Nanshan Orchard has 1500 peach trees, 20% more than pear trees. How many pear trees are there?
(1250 trees)
3.5 years ago, my grandfather was 60 years older than my grandson. My grandson's age this year is 15. How old are my grandfather and grandson this year?
1 divided by 5=5 60 divided by 5= 12 12+60=72 (grandfather 72 years old, grandson 12 years old).
4. Master and apprentice cooperated to complete a batch of tasks with 960 parts, and the task was completed after 8 days. The ratio of the number of parts made by the master to the number of parts made by the apprentice every day is 5: 3. How much do masters and apprentices earn every day?
(75 masters and 45 apprentices)
5. The circumference of the bottom of the conical wheat pile is 6.28 meters, and the height of the wheat pile is 1.5 meters ... If the wheat weighs 750 kilograms per cubic meter, how many kilograms does this pile of wheat have?
(1 177.5 kg)
On Sunday, forty-two people from Class Six (3) went boating in the park. Every five people have a big boat and every three people have a small boat. A * * * rented a boat of 10. How many big boats and small boats did they rent?
(6 big boats and 4 small boats)
7. The school needs to buy 50 desks to decorate the new office building. At present, three furniture stores, A, B and C, can choose, and their desk prices are all within 200 yuan. Please help the teacher figure out which store to buy to save money.
Store A: If you buy 10 desks, you will get 2 desks for free, and if you don't have enough 10 desks, you won't get them.
Shopkeeper B: Each table is discounted to 35 yuan, and it is not given away.
After shopping in 400 yuan, return to 60 yuan.
(8,400 yuan for store A, 8,250 yuan for store B and 8,500 yuan for store C) Store B is the cheapest.