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Sixth grade mathematics unit 4 examination questions next semester
Unit test 1

Fill in the blanks.

1. A number consists of eight hundred, nine ones, five tenths and 1%. This number is ().

2.7 tons and 420 kilograms = () tons.

3.4.8 cubic decimeter = () cubic centimeter

4.A is the divisor of B, and the least common multiple of A and B is ().

5. Turn it into a circular decimal, and record it as () in a simple way.

6. On a map, 750km is represented by 2.5cm, and the scale of this map is ().

The ratio of 7.0.9, 6 and 0.36 is ().

8. Rank 15.6%, and the four numbers are arranged in descending order: () > () & gt()& gt ().

9. The side length of a cube is 8 cm, the surface area is () and the volume is ().

10. Dig a cylinder with a radius of 3cm, and remove the largest cone, leaving 75.36cm. The height of this cylinder is ().

True or false. (Draw "√" correctly and "×" incorrectly)

1. The side length and area of a square are proportional. ()

2. Two rectangles with equal perimeters must have the same area. ()

3. Numbers A and B are divisors of their least common multiples. ()

4. Because natural numbers are integers, integers are also natural numbers. ()

5. At least two angles in the triangle are acute. ()

3. Calculate the following questions.

1.758600 ÷ 3700 = (Be firm, seek quotient and remainder)

2. Solve the equation: 20-

3. Solution ratio:

4.

5.0.73+7.3×9.9

6.( 10-0.9 15)×(2.808+ 1.2÷6.25)

7.÷23

8.÷ ÷(2-0.25)

4. Formula calculation.

What is the quotient of the sum of 1.4 divided by their difference?

2. when a is divided by b, the quotient is 1.4, and the difference between a and b is to find a.

The circumference of the square in the picture below is 16 cm. Find the area of the shaded part.

6. Application questions.

1. What percentage is the volume of a cube with a side length of 6 cm larger than that of a cube with a side length of 4 cm?

2. If a batch of cloth is made into a suit, it can be made into 12 sets (one coat and one pair of pants is one set), and if it is only made into a coat, it will cost 20 yuan. How many pairs will it be if it is only made into pants?

3. The price of a chemical fiber fabric has dropped from per meter 10 yuan to 7.5 yuan. Used to buy 30 meters. How many meters can I buy now? (Use proportional solution)

4. A worker produces a batch of parts and plans to produce 12 parts every day. It took 30 days to complete the task, but it was actually completed 6 days ahead of schedule. How many more parts are actually produced than planned every day? (Column synthesis formula)

There are a batch of books on the upper and lower shelves, 60% of which are books on the upper shelf. 12 books are placed on the upper shelf, and the books left on the lower shelf just account for 25% of the total. How many books were there on the first two shelves?

6. Three road repair teams jointly built a road. Team A completed the whole course, team B completed12km less than team A, and team C completed 38km. How many kilometers is this road?

7. The ratio of middle and lower grades in central primary school is 4: 5, and the lower grades are 60 more than the middle grades. If the sum of middle and lower grades accounts for the total number of students in the school, how many students are there in the school?

Reference answer

Fill in the blanks.

1. A number consists of eight hundred, nine ones, five tenths and 1%. This number is (809.438+0).

2.7 tons 420 kg = 42 tons.

3.4.8 cubic decimeter = 480 cubic centimeters

4.a is the divisor of B, and the least common multiple of A and B is (B).

5. Turn it into a circular decimal, and record it as (? ).

6. On a map, 750km is represented by 2.5cm, and the scale of this map is (1: 30000000).

The ratio of 7.0.9, 6 and 0.36 (0.9: 0.36 = 6:1).

8. Rank 15.6%, and the four numbers are arranged in descending order: () > () & gt()& gt( 15.6%).

9. The side length of a cube is 8cm, the surface area is (384cm2) and the volume is (5 12cm3).

10. Take a cylinder with a radius of 3cm and dig out the largest cone, leaving 75.36cm. The height of this cylinder is (4 cm).

True or false. (Draw "√" correctly and "×" incorrectly)

1. The side length and area of a square are proportional. (×)

2. Two rectangles with equal perimeters must have the same area. (×)

3. Numbers A and B are divisors of their least common multiples. (√)

Because all natural numbers are integers, integers are also natural numbers. ×? )

5. At least two angles in the triangle are acute. (√)

3. Calculate the following questions.

1.758600÷3700=205… 100

2.

3.

4.6

5.73

6.27.255

7.2

8.

4. Formula calculation.

1.(4- )÷( )=

2.÷( 1.4- 1)+ = 1

The circumference of the square in the picture below is 16 cm. Find the area of the shaded part.

16 ÷ 4 = 4 (cm)? 3. 14× 42× = 12.56 (square centimeter)

6. Application questions.

1.(6 3 -4 3 )÷4 3 =237.5%

Answer: A cube with a side length of 6 cm is 237.5% larger than a cube with a side length of 4 cm.

2. 1 ÷ () = 30 (article)

Answer: If you only make pants, you can make 30 pairs.

Solution: Suppose you can buy X meters now.

7.5 x = 10×30

x =40

Answer: You can buy 40 meters now.

4.12× 30 ÷ (30-6)-12 = 3 (piece)

A: Actually, three more parts are produced every day than planned.

5.12 ÷ (1-60%-25%) = 80 (Ben)

A: It turns out that there are 80 books on two shelves.

6. (38-12) ÷ (1-) =130 (km)

A: The total length of this highway is 130 km.

7.5+4=9

60 ÷ () ÷ = 8 10 (person)

A: There are 8 10 students in the whole school.