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I. Calculation questions (24%)

1. Numbers written directly (5%)

3.8+6.2= 8. 1÷3×2= 568- 198= 0.65÷ 1.3=

75× 10%=

Fill in the blanks: (22%)

(1) The number "24619" is written as (), and the mantissa after ten thousand is omitted as ().

(2)4 tons and 7 kilograms = () tons

3. 15 hours = () hours () minutes

The decimal unit of (3) is (), and the decimal unit like () is the smallest prime number.

(4)

(5) The surface area of a cube with a side length of 6 decimeters is () square decimeter. Cut it into the largest cone. The volume of this cone is () cubic decimeter.

(6) prepare a syrup according to the syrup ratio of 1: 19, and the sugar content of this syrup is ()%; There are 50 grams of sugar, and this syrup can be prepared ().

(7) On a large-scale school plan, it is measured that the distance from the school gate to the senior teaching building is 4.5 cm, and the actual distance from the school gate to the senior teaching building is () meters.

(8) Choose three numbers from 0, 4, 5 and 7 to form the largest three-digit number that can be divisible by 2, 3 and 5 at the same time. This three-digit number is (), and the prime factor of decomposition is ().

(9) For a project, Party A will work alone for 6 hours and Party B will work alone for 9 hours. Party A and Party B worked together for 2 hours and completed () of this project. The rest will be completed by Party A alone, and it will take () hours to complete.

(10) A string number is 1, 1, 2, 2, 3, 4, 5, 5, ... Starting from the first number on the left, the 35th number is (), and the sum of the first 36 numbers is ().

(1 1) As shown below, the ratio of shadow area to square area is 5: 12, the side length of the square is 6 cm, and the length of de is () cm.

3. Multiple choice questions (put the serial number before the correct answer in brackets): (5%)

(1) The area of a triangle with the same height as a parallelogram with an area of12cm2 is () cm2.

A.4 B.6 C. 12 D.24

(2) When the number A is divided by the number B, the quotient is 0.2, and the simplest integer ratio of the number A to the number B is ().

a . 0.2: 1 b . 5: 1 c . 2: 10d . 1:5

(3) The ratio of A to B is 5: 4, and B is less than A ().

25% B.20% C. 125%

(4) After1hour, the angle of the minute hand on the clock face is different from that of the hour hand ().

330 B.300 C. 150 D. 120

(5) A commodity shall be raised by 20% first and then lowered by 20%. Compared with the original price, ().

A. improved B. reduced C. unchanged D. uncertainty

Four. Operational problems: (10%)

1. How to cut a rectangular carton (as shown in the figure below) with a length of 10 cm and a width of 6 cm into a 2 cm cube (seams ignored)? In the figure, the part to be cut is indicated by the shaded part. At least two different schemes are given. (3%)