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Mid-term examination paper of sixth grade mathematics
First, fill in the blanks confidently. (1 minute per grid, ***20 points)

1, if a×3 = b×4 = c×5, then a: c=( 5 ):( 3).

2. The statistical chart can clearly show the relationship between the quantity of each part and the total.

3. In a proportion, the product of two external terms is, and one of the internal terms is, then the other internal term is ().

4. The total price is fixed, the quantity and unit price are in (inverse) proportion, the proportion is fixed, and the distance on the map is in (positive) proportion to the actual distance.

5. Cut a cylindrical steel with a length of 1m and a bottom diameter of 2 decimeters into two small cylinders, and the surface area is increased by (6.28) square decimeters.

6、X+Y = 600,X:Y =,X =(240),Y = (360)。

7、0.75=(3):(4)=(——) =(75)%

8. The distance of 20cm on the map indicates the actual distance10km, and the scale of this map is (1: 50000).

9. The volume of the cone is 48 cubic centimeters, the height is 8 centimeters, and the bottom area is (18) square centimeters.

10, 2 hours =(2), (40) 3 tons, 70 kg =(3.07) tons.

1 1. The radius of the bottom surface of the cylinder is 10 cm, the height is 2.5 cm, the circumference of its side development diagram is (130.6 cm), and the side area is (157 cm).

Second, critical and accurate judgment. (tick "√" for the right and "×" for the wrong, ** 10)

1 cannot be converted to a finite decimal. (×)

2. The volume of a cone is the volume of a cylinder with the same height as its bottom surface. (√)

3. If 3a=5b, then a: b = 5: 3. (√)

4. The area of a circle is proportional to its radius. (×)

5. After a number is increased by 25%, it is reduced by 25%, and the original number is still obtained. (×)

6. Natural numbers are either prime numbers or composite numbers. (×)

7. The circumference of a rectangle is fixed, and its length and width are inversely proportional. (×)

8. If two internal terms of a proportion are reciprocal, then its two external terms are reciprocal. (√)

9. The side length of a cube is 5cm, and its surface area is125cm. (×)

10, and the formula composed of two ratios is called proportion. (×)

Third, choose carefully and choose correctly. (Each question 1 point, * * *1point)

Put 1 and 1 g of drugs into 100 g of water, and the ratio of drugs to liquid medicine is (c).

a、 1:99 B、 1: 100 C、 1: 10 1 D、 100: 10 1

2. Let c be the circumference of a circle, then ×=( A).

A, radius b, diameter c, area d and circumference.

3. For a project, it takes 8 days for a team to work alone, and 10 days for team B. The work efficiency ratio between team A and team B is (b).

a、8: 10 B、5:4 C、:D、4:5

If 25% of the number A is equal to the number B, then the number A (b) is the number B. ..

A, greater than B, less than C, equal to D, uncertain.

5. A semicircle figure with a radius of r and a circumference of (d).

a、2πr B、πr + r C、πr D 、( 2+π)r

6. To reflect both the quantity and the change of quantity, it is best to choose (c).

A, statistical table b, bar chart c, line chart d and fan chart

7.a and B are 900 kilometers apart, and (c) cm should be drawn on the plan with the scale of 1: 6000000. a、5 B、 10 C、 15 D、25

8. The volume and bottom area of a cylinder and a cone are equal. Suppose the height of the cylinder is 6 cm and the height of the cone is (d).

A, 2cm b, 3cm c, 6cm d,18cm.

9. The proportional relationship between X and Y is (C).

A, x+y=k (certain) b, x×y=k (certain) c, =k (certain) d and x-y = k (certain).

10、×6÷×6( C ).

a、 1 B、C、36 D、0

Fourth, be patient, meticulous and careful.

1, write directly. (*** 10 point)

×= 5-=5 ÷80%= 1 0. 125×32 = 4

1÷=2 ( + )×40= 38 ÷8=

4- 1-0.4= 2 (+)×36= 10 4― 1― 1.25=

2. Find the unknown x .(* * 4 points)

= : =x:9

3. Off-mold calculation. (*** 12)

① 3.68 ×[ 1 ÷(2– 2.09 )] ② [ - 0 ÷ ( + )] × 1

③ 1 × + ÷ ④ 2 + 1 × +

Fifth, use your hands and brains to standardize operations. (***6 points)

The statistics of breakfast varieties that sixth-grade students like in a school are as follows:

Bread yogurt puffed food eggs

Boys 168 124

Girl 18 6 16 8

Make a bar chart according to the data in the above table.

Statistics of breakfast varieties liked by sixth-grade students in a school

April 2007 system

Sixth, think carefully and answer completely. (***28 points)

1. The weight ratio of copper to tin in Cu-Sn alloy is 5∶7. There are 3500 kilograms of copper now. How much tin does it take to make this alloy? (Use proportional solution)

Solution: Suppose you need to add X kilograms of tin to make this alloy.

3500:X =5:7

2. A cylindrical pool with a diameter of 20m and a depth of 2m.

(1) Lay a layer of cement on the edge and bottom of the pool. What is the surface area of cement?

(2) How many cubic meters does it take to dig this pool?