Because each student has different mastery of knowledge points, the review progress is also different. The following are the math test papers and answers I brought with me. Let's have a look!
First, fill in the blanks. (2 points for each small question, ***20 points)
1. 1 840.509 million yuan (), rewritten as ten thousand units ().
2.5 tons 820kg = () kg, 100 min = () hours.
3.= 16? () =( ): 10=( )%= () process.
4.3. Of the five numbers 1 4, 1, 162.5% and1,the largest number is (), and the equivalent value is ().
5. Three squares of equal size form a rectangle. The circumference of this rectangle is 24 cm, the side length of each square is () cm, and the area of this rectangle is () cm 2.
6. There are two piles of apples. If you take nine apples from the first pile and put them in the second pile, the number of apples in the two piles is equal; If you take 12 apples from the second pile and put them in the first pile, the number of apples in the first pile is twice that in the second pile. It turns out that there are () apples in the first pile and () apples in the second pile.
7. Cut a piece of wood with a length of 1.2m into two sections, and the surface area is increased by 24 square centimeters. The original volume of this kind of wood is () square centimeters.
8. It takes 64 seconds for a person to go to the tenth floor for business, so it takes () seconds to go to the tenth floor at the same speed.
9. In a cylindrical container filled with water with a bottom radius of 20 cm, immerse a cast steel cone with a bottom radius of 10 cm in the water. After taking out the cone, the water level in the container dropped by 5 cm. This cone is 10 cm high.
10. It takes 10 hour for the car to travel from city A to city B, and 15 hour for the truck to travel from city B to city A ... Two cars depart from cities A and B respectively, heading in opposite directions. When they met 20 kilometers away from B, the distance between A and B was () kilometers.
Second, judge. (Right? , wrong number? ) (5 points)
1. If the vertex of an isosceles triangle is acute, then the triangle must be acute. ( )
2. The three decimal places A are accurate to one hundredth of 8.60, so A is 8.599 at most. ( )
3. A wire is 240 cm long and welded into a rectangular frame. The ratio of length, width and height is 3: 2: 1, and the volume is 6000 cubic centimeters. ( )
4. Two cylinders with equal side areas must have the same surface area. ( )
5. The product of the common prime factors of two natural numbers must be the greatest common factor of these two numbers. ( )
Choose the serial number of the correct answer and fill in the brackets. (2 points for each small question, *** 10)
1. The following statement is true ().
A, divide zero by any number to get zero; B, if =, then x is inversely proportional to y;
C, the volume of the cone is equal to the volume of the cylinder; D, two straight lines that do not intersect are called parallel lines.
2. The relationship between the radius and circumference of a circle ().
A, proportional to B, inversely proportional to C, not proportional to D, none of the above answers are correct.
3. A factory should choose () to draw a statistical chart reflecting the annual output value and growth.
A, bar chart b, line chart c and fan chart d, all of the above answers are acceptable.
4. On the map with the scale of 1: 3000000, the distance between A and B is measured to be 5.5 cm. If a car completes its journey at 3:2 in two days, the distance of the next day is ().
A, 6.6 km b, 66 km c, 660 km d, 6600 km
A commodity is marked up by 30% first, and then sold at a 30% discount. The current price is the original price ()
a、70% B、 100% C、 109% D、9 1%
Four, the calculation problem (***35 points)
1. Write directly (0.5 points for each question, ***6 points)
0.03? 0.6= 0.375? = 1.25? 0.4? 2.5? 80=
20- 10 = 36? ( - )= 2 1.82- -4 =
144? = 125? 56= 13 +4.37+5.63+6 =
= 7.2? 0.4= 777? 9+ 1 1 1? 37=
2. Calculate the following questions, and simply calculate if you can. (3 points for each question, *** 15 points)
( 1)7 -(2 -2.3) (2)4.85? 3 -3.6+6. 15? three
(3)0.025? 999? 2.8? 40? 2(4)
(5)( 1- )( 1- )( 1- )( 1- )
3. Find the value of X (3 points for each small question, 6 points for * * *)
( 1)4x-25% x = 18.75(2):= 1:x
4. Column calculation (4 points for each question, ***8 points)
What is the difference between the quotient of (1)7 divided by 2 and the product of 4.5 times?
(2) If 75 is 30% more than 270, find this number (equation solution).
5. As shown in the figure, draw some straight lines in the parallelogram, divide the parallelogram into eight pieces, and know the areas of three of them (as shown in the figure). What is the area of the shaded part in the picture? (6 points)
6. Answer the following questions. (4 points for each small question, ***24 points)
1. The total output value of a factory last year was 23 million yuan, an increase of 15% over the previous year. What was the total output value of this factory the year before last?
An engineering team completed a section of road on the first day, 60 meters more than the first day. At this time, the ratio of repair distance to remaining distance is 7:3. How many meters is this section?
3. Two cars, A and B, travel in opposite directions from A and B at the same time, and meet at a distance of B 68km. After arriving at the other station, the two cars immediately return to their original places and meet at a distance of A 52km on the way. Find the distance between the two venues.
4. Add 80kg of water and 30% salt water to the salt water with 40% salt content. How many kilograms of salt will be added, salt water with 50% salt?
5. Two cars, A and B, leave from two places along the expressway at the same time. The average speed of car A is 48 kilometers per hour, and that of car B is 54 kilometers per hour. When they met, the distance between the two cars was 36 kilometers. How many kilometers are the two places apart?
6. Fifty students from Class Six (1) will go boating. Each big ship can take six people, and the rent is 10 yuan. Each boat can take four people and rent 8 yuan. If you are the leader, how are you going to charter a boat? What is the most economical way to rent a house?
Reference answer
I. 1. 1840509000, 184050.9 2. 5820, 1 3.20, 8.80, 8.4, 1 and 162.5%.
5. Square side length: 24? (3+ 1)? 2 = 3 (), rectangular area: (3? 3)? 3=27(㎝2)
6. Suppose the first pile has X and the second pile has x-9? 2。 x+ 12=( x-9? 2- 12) ? 2,x=72,x-9? 2=54
7.24? 120=2880 (square centimeter)
8.64? (5- 1)? (10-5)=70 (seconds)
9.3. 14? 202? 5? 3? (3. 14? 102)=60 (cm)
10.20? [ 1? ( )? ]=50 km
Second, 1. 2.? 3.? 4.? 5.?
Three. 1.B 2。 A 3。 B 4。 C 5。 D
Four. 1.0.0 18, 3, 100, 9.4,2, 16.82, 142,7000,30,3, 18,65438.
2.( 1) Original formula = 7-2+2.3 = 7.3; (2) The original formula =3.6? (4.85- 1+6. 15)=36
(3) The original formula =(0.025? 40)? 999? (2.8? 2 )=999
(4) The original formula = =1
(5) The original formula =? = = ? = ? =
3.( 1)x=5,(2)x=
4.( 1)7? 2 -4.5? = 1
(2) x-270? 30%=75,x= 195
V. Rectangular area, 13+①+49+35+②= rectangular area.
①+shaded area+② = rectangular area
Shadow area = 13+49+35=97.
6. 1.2300? (1+ 15%)=2000 (ten thousand yuan)
2.60? (= 300m)
3. When we met for the second time, the two cars * * * did 68? 3=204 (km), the length of AB is 204-52= 152 (km), and the distance between the two venues is 152-52-68=32 (km).
4. Suppose that 40% of the salt water has X kilograms. 40%x=(80+x)? 30%, x=240 (kg); Add y kilograms of salt. 240? 30%+y=(240+y)? 50%, y=96 (kg)
5.36? 2? (54-48)=72? 6= 12 (hour), (48+54)? 12= 102? 12= 1224 (km)
6. Try renting a big boat, 50? 6=8 (strips) 2 (people), big ship: 8- 1=7 (strips), small boat: (6+2)? 4=2 (bar)
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