Mathematics final examination paper of the sixth grade last semester (including the answer)
fill (up) a vacancy
1. China manned spacecraft "Shenzhou VI" circled the earth 77 times in the vast space, flying at an altitude of about 3252043000m. The number on the horizontal line is: (), and the mantissa after omitting "100 million" is about ().
2.3/8m can mean 3/8 of 1m, or ().
3.5 kg 50g = () kg 600 ml = () L。
4.0. 16: 2/25 The simplest integer ratio is ().
5.( )/ 16=3÷4= 15:( )=( )%
6. If a=2×2×3 b=2×3×3, then the least common multiple of a and b is ().
7. The stationery store has newly introduced magic pens A, each of which is sold in 2.5 yuan, and B has been sold out. The formula shows that the remaining magic pen can be sold for () yuan.
8. Cut a cuboid with a length of 5cm, a width of 4cm and a height of 3cm into two identical cuboids, and the surface area can be increased by at most () cm2 and at least () cm2.
9. The weather station should draw a statistical chart to show the monthly average temperature changes in the first half of this year, and it is more appropriate to use a statistical chart ().
10. There is an artificial lake with a radius of 20 meters in Xiyuan. Walk around the lake for about () meters. The area of this small lake is () square meters.
Write the serial number of the correct answer in brackets.
(1) To find how many liters of water a cylindrical goldfish bowl without a lid can hold is to find a goldfish bowl ().
A. Surface area
B. volume
C. volume
D. Transverse area+area of bottom circle
(2) In the art exhibition held by the school, the number of crayons is 3/5 more than that of watercolors. The following understanding is correct ()
A. The number of watercolor paintings is 3/5 less than that of crayon paintings.
B: The ratio of crayons to watercolors is 8: 5.
C here, crayon drawing is regarded as the unit "1"
D. crayons are 5/8 of watercolors.
(3) The denominator of 15 should be increased, and the numerator should be enlarged to keep the size of the fraction unchanged.
A.4 times
B.3 times
C. 15 times
D.6 times
(4) Divide the rice into () portions, and each portion is rice.
A. 18
b54
C6
D.3
(5) Dissolve 20 grams of sugar in 80 grams of boiling water, and the sugar water will contain sugar ().
A.20%
B.80%
C.50%
D.25%
Third, the judgment question
(1) a long. Wide. Double the height and increase the volume by 6 times. ( )
(2) The attendance rate of Workshop A is higher than that of Workshop B, indicating that there are more people in Workshop A than in Workshop B. ()
(3) Natural numbers are composed of prime numbers and composite numbers. ( )
(4) When the scale is fixed, the distance on the map is inversely proportional to the actual distance. ( )
(5) If the number of A equals the number of B, the ratio of A to B is 6: 5. ( )
Fourth, calculation
1. Write the number directly.
1322- 199= 1.87+5.3= 2-2÷5 =
603×39= 4950÷50= 10× 10=
2. Find the value of unknown x.
X- = 1.75 0.36:8=X:25
Operation and thinking of verb (abbreviation of verb)
1. Draw a circle on the right with the diameter of the known line segment AB;
2. Then draw an isosceles triangle with the line segment AB as one side of the triangle.
3. Thinking: An isosceles triangle meeting the above conditions can be drawn in the figure ().
Sixth, solve the problem.
1. The weaving workshop weaves 3500m in 2.5 hours. According to this calculation, can you weave 9800 meters of cloth in 7 hours? (5 points)
2. At noon on Sunday, Naughty and Xiaoxiao put out their own glass balls, ready to play a game of touching the ball. (5 points) Naughty said: "Smile, your number of glass balls is only 3/5 of mine!"
Smiled and said, "You only need to take six, and we will have the same number of balls."
According to the above conversation, please calculate: How many glass balls are there in Xiaoxiao?
The construction team will build an expressway, which is planned to be 4.5 kilometers per day and completed in 20 days. In fact, 6 kilometers will be built every day. How many days can it be finished? (5 points)
The price of a sportswear is 198 yuan, and the price of pants is the coat. What's the price of pants? (5 points)
5. A conical sand pile, with a height of 1.5m, a bottom radius of 4m and a sand weight of about 1.7 tons per cubic meter. How many tons does this pile of sand weigh? (Keep the whole ton as a figure) (5 points)
6. There are five steps in front of the school science and technology museum, each of which is 6 meters long, 0.3 meters wide and 0.2 meters high. (8 points)
(1) How many square meters does Five Steps * * * cover?
(2) How many square meters of carpet does it take to pave these steps?
Reference answer
1. 1, 3,252,043,300,300,300,000,000.
2, 0.375 meters
3、5.05,0.6
4、2: 1
5、 12,20,75
6, 36, 7, 2.5 (A-B)
8、40,24
9. dotted line
10、 125.6 1256
Second, 1, C 2, B 3, A 4, C 5, d.
Three. 1, ╳ 2, ╳ 3, ╳ 4, ╳ 5 and √.
(2) 17/6, 9/8,
(3)4, 17,87/7, 1/2,27/ 13
Six, 1, can be completed.
2, 9
3, 15 days
4, 82.5 yuan
543 tons
6, 9 square meters, 15 square meters