Mathematical simulation test paper for stage learning level detection

Title number

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Total score

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Fill in the blanks

1.36708 million write () is rewritten as a number in "ten thousand".

2.3020g = () Kg 5: 10 =()。

3.( ):5=0.4=( )÷ 15=( )%

Dad is one year old and Xiao Li is 23 years younger than dad, so there is a difference of () years after 10.

The total number of words in a manuscript is fixed, and the number of words per page is proportional to the number of pages.

6. The top angle of an isosceles triangle is 60, one of its bottom angles is (), and this triangle is ().

7. A cylindrical water pipe with an inner diameter of 250 pixels. The velocity of water in the pipeline is 8 meters per second. A classmate went to the swimming pool to wash his hands, and forgot to turn off the tap when he left, wasting 5 minutes of water.

8. At the same time, two cars started from two places 360 kilometers apart and met 2.4 hours later. The speed ratio of the two cars is 12: 13, and the slower car travels () kilometers per hour.

Of the five numbers 9.5, 6, 7, 8 and 9, the possibility of adding any two numbers to make the sum even is ().

10. There are two identical pencils, blue and white, and two different pens, yellow and red, in the pencil box.

(1) Pull out the pencil and pen, and there may be () results.

(2) If you put the same black pen in the pencil box again, and take out a pencil and a pen, there may be a result of ().

Step 2: Choose

1 1. After the side of the cone is unfolded, it is ().

A. circle B. sector C. triangle D. trapezoid

12. In a triangle, the ratio of three internal angles is 1: 3: 5, and this triangle is ().

A. acute triangle B. right triangle C. obtuse triangle D. uncertainty

13. The volume of the cylinder is equal to the volume of the cone, the bottom area of the cylinder is three times that of the cone, and the ratio of the height of the cone to the height of the cylinder is ().

A.b . 1 c . 9: 1d . 1:9

14. It is known that a×=b÷62.5%=c×= 1(a, B and C are all not 0), and the smallest of the three numbers A, B and C is ().

A.aB.bC.cD can't judge.

15. The original price of a commodity in 400 yuan is now sold at a 10% discount, and the current price is cheaper than the original price ().

350 yuan 360 yuan 370 yuan 40 yuan

16.83 floor Shenzhen Empire State Building, with a height of 384 () and a box of milk of about 250 ().

haul

17. The original price of an MP3 820 yuan is reduced by 10% and increased by 10%. Now the price is higher than before ().

A. unchanged. B. improvement. C. Reduce

18. The symmetry axis in the figure below is the most ().

A. circle B. square C. rectangle

19. The length of a road is certain, the repaired part and the remaining part ().

A. directly proportional; Inverse ratio; be disproportionate

20. After a rectangular box is drawn into a parallelogram, the area is ().

A is equal to the original B. Smaller C. Larger

Fourth, calculate carefully, I believe you can do it well! (***34 points)

2 1, the number is written directly.

83-57= 1-0.74= 0.25×40= 2- =

1÷= = 1.25×3×8= 32÷53×0 =

22. Off-type calculation:

(-)×45 (+)×( 1-)

4×0.8×2.5× 12.5 ×÷×

23, solving equations

4∶x=3∶2.4 x -x=

Four. solve problems

24. The following is the statistical table of wheat and cotton production from Li Jiacun Research Station experimental field 1999 to 2002.

1. This is a () statistical chart.

2. The cotton yield is the highest in (), and the wheat yield is the highest in ().

In 2002, the output of wheat and cotton in Li Jiacun was10.50 billion kg.

4. 1999 Wheat yield decreased by ()% compared with 2002. (Keep one decimal place before the percent sign)

5. The cotton output in 2002 increased by ()% compared with that in 2006.

25. A vegetable truck loaded with 8 tons of vegetables started from the wholesale market in Lijiazhen, Anshan, and traveled for 7.5 hours at an average speed of 40 kilometers per hour, and arrived at Dalian vegetable market. After unloading the vegetables, the truck returned and it took 5 hours. What is the average speed of the truck when it returns? (Answer in two different ways)

26. The grain and oil wholesale market has 520 tons of rice, accounting for 40% of the total in the first week and 40% in the second week. How many tons are left? (column synthesis formula solution)

27. As the picture shows, there is a rectangular path 2 meters wide in the trapezoidal grass. The known path area is16m2. Find out the area of grassland.

28. If you buy a car, you need to increase the price by 7% if you buy it in installments, and you can get a 9.5% discount (95%) if you buy it in cash. Naughty dad calculated and found that installment payment was 7200 yuan more than cash purchase. Would you please calculate the original price of this car?

29. Cone-shaped wheat pile, bottom circumference18.84m, height1.5m. If wheat weighs 0.75t per cubic meter, how many tons does this pile of wheat weigh? (Numbers are reserved as integers)

30. There is a batch of grain in the warehouse, and the total shipment amount is less than 1 ton. At this time, the ratio of surplus grain to raw grain is 3: 5. How many tons of grain were there in the warehouse?