The examination questions and answers for the excellent training of mathematics in grade six.

Introduction: The French Bourbaki School, founded in 1930s, believes that mathematics, at least pure mathematics, is a theory to study abstract structures. The following is my question and answer about excellent mathematics in grade six. Welcome to read!

Excellent mathematics in grade six 1 test questions and answers. Multiple choice questions (65438+ 0 points per grid, ***20 points)

1. It is known that the radius of a small circle is 2cm, the diameter of a big circle is 6cm, and the ratio of the circumference of a small circle to the circumference of a small circle is (? ), the ratio of area (? )。

2. 12 has () factors. Choose four factors to form a ratio (? )。

3. The scale of the map is 1:40000000. Change to line segment ratio (? ), the actual distance between AB and AB is known as 24 kilometers. On this map, you should draw (? ) centimeters.

At 4.3 o'clock sharp, the angle between the minute hand and the hour hand is (), and at 6 o'clock sharp, the angle between the minute hand and the hour hand is (? ) 。

5. The two internal terms of a proportion are 4 and 7 respectively, so the product of the two external terms of this proportion is (? )。

6. Draw a circle with a compass with a diameter of 8 cm. What is the distance between the two toes of a compass? ) cm, the position of this circle is determined by ().

7. If a number is divisible by 2, 3 or 5, it can be divisible. The minimum number of this number is (? ), if this number is two digits, its maximum value is (? )。

8. If a cuboid becomes a cube if its height increases by 2cm and its surface area increases by 24cm2, then the original surface area of this cuboid is (? )。

9. The approximate value of a three-digit decimal is 2.80. The maximum value of this number is () and the minimum value is (? )。

10, typing a manuscript requires 10 hour for Party A and 12 hour for Party B, so the efficiency ratio between Party A and Party B is (? ), the time ratio is (? )。

1 1, the sum of the sides of a cube is 24cm, and the surface area of this cube is (? ) cm2, the volume is (? )cm3 .

Second, true or false questions (each question 1 point, * * *1point)

1, two pieces of wood 1 meter long, the first piece is made of rice, the second piece is used, and the rest of the wood is the same length. ( ? )

2. After the 0 at the end of decimal 0.50 is removed, the size of decimal remains the same, and the counting unit remains the same. ( ? )

3. There are at least two acute angles in the triangle. ( ? )

4. a:b=5:3 because 3a = 5b (neither A nor B is 0). ( ? )

5. If the volume and height of cylinder and cone are equal, the ratio of the bottom area of cone to cylinder is 3: 1. ( ? )

6. 10 tons of coal, half of which is used, leaving 50% tons of coal. ( ? )

7. A set of data may not have a median, but it must have an average and a mode. ( ? )

8. A formula with an unknown number is an equation. ( ? )

9. When a number is multiplied by a decimal, the product must be less than this number. ( ? )

10, cut a cylinder into the largest cone, and the volume of the cut part is the volume of the cylinder. ( ? )

Second, multiple-choice questions (2 points for each question, *** 10)

1. Cut the largest semicircle in a rectangle with a length of 6cm and a width of 3cm, so that the circumference of the semicircle is (? ) centimeters.

A9.42？ B 12.42？ C 15.42

2, there is a pile of cement, take away, there are tons left, this pile of cement * * * has (? ) tons.

A3？ B 1 C4

3, the following groups of line segments cannot form a triangle is (? )。

3 cm, 3 cm and 3 cm

B 1cm, 2cm and 3cm

C6cm, 8cm and 9cm

4. Nail four pieces of wood into a rectangle, then draw it into a parallelogram, and its () remains unchanged.

A perimeter b area c perimeter and area

5, the side of the cylinder, will not get (? )。

A rectangle b square c trapezoid d parallelogram

Four, the calculation problem (***25 points)

1, write directly. (5 points)

9.6÷0.6=0.5÷0.02=+=3. 14×22=-=

4-4÷6=3÷ 10%=0. 125×8=÷= 13.5÷9=

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

3.25÷2.5÷45×0.5÷5×0.5(0.8+)× 12.5

86.27-(28.9+ 16.27)2 - 1.6×[ 1÷(2. 1-2.09)]

Three, solve the equation (***8 points)

4(2x-8)= 1

24.4 times x=

1:x=:5x-4.5×2=

Verb (abbreviation of verb) operation (*** 10 point)

1. Draw parallel lines of OA and vertical lines of OB through point P respectively.

This is a circle with a diameter of 4 cm. Please draw the largest square in the circle and calculate it.

What percentage of a circle does a square occupy?

Six, solve the problem (***25 points)

1. A greening team mowed the lawn and spent 900 yuan, saving 300 yuan than before. What percentage was saved?

2. Reputation Supermarket shipped 480 kilograms of fruit, of which apples accounted for the total number of apples sold in 3 days. How many kilograms of apples are sold on average every day?

3, a box of cylindrical drinks, 4 in each row, ***6 rows, the diameter of the bottom of this cylindrical drink is 6.5cm, and the height is 12cm. What is the minimum volume of this carton?

4. On the map with the scale of 1: 2000000, the length of A and B is 5cm. How many centimeters should I draw on a map with the scale of 1:25000000?

5. Now pile a pile of wheat into a cone. It is known that its bottom circumference is 12.56m and its height is 1.2m, and it is known that the weight of wheat per cubic meter is 750 kg. How much does this pile of wheat weigh?

Answers to excellent math test questions in grade six

fill (up) a vacancy

1、2:34:9

2、6

3, slightly 6

4、90 180

5、28

6, 4 center

7、3090

8、30

9、2.8042.795

10、6:55:6