Name:
Multiplication and distribution law is the key and difficult point of mathematical calculation in primary schools. It takes a lot of practice to consolidate this algorithm, especially pay attention to the two words in "the sum of two numbers multiplied by a number, which can be multiplied first and then added"
Type 1: (Note: Numbers outside brackets must be multiplied by two numbers in brackets respectively, and then the products are added)
(40+8)×25
125×(8+80)
36×( 100+50)
24×(2+ 10)
86×( 1000-2)
15×(40-8)
Type 2: (Note: the same factor in two products can only be written once)
36×34+36×66
75×23+25×23
63×43+57×63
93×6+93×4
325× 1 13-325× 13
28× 18-8×28
Type 3: (hint: take 102 as100+2; 8 1 is regarded as 80+ 1, and then the multiplication distribution law is used)
78× 102
69× 102
56× 10 1
52× 102
125×8 1
25×4 1
Type 4: (hint: take 99 as100-1; 39 as 40- 1, and then use the multiplication distribution law)
3 1×99
42×98
29×99
85×98
125×79
25×39
The fifth formula: (hint: regard 83 as 83× 1, and then use the law of multiplication distribution)
83+83×99
56+56×99
99×99+99
75× 10 1-75
125×8 1- 125
9 1×3 1-9 1
First, I will fill it out. (14)
1, 100.438+003 (
), writing 50.50 (
)。
2. A number consists of five tens and 10%. This number is written as (
)。
The decimal part of the number has two digits. When rounding to one decimal place, the approximate value is 5.0, and the original minimum value of this number is (
), the maximum value is (
)。
The total age of Obana's mother this year is 48 years old. In another year, the total age of two people is (
) years old.
5. In the triangle, ∠ A = 40, ∠ B = 80,
∠C=(
)。
6, 1 m 70 cm = (
)m，8kg 10g =(
)kg
7,0.78 reduction (
) times is 0.078, and the expansion of 100 times is (
)。
8. Rectangular (
) axis of symmetry, the square has (
) axis of symmetry, isosceles triangle has (
) axis of symmetry.
Second, choose and fill in the serial number of the correct answer (
). (8 points)
1, the following statement is true (
)
Decimals are smaller than integers; B Rectangular, square and parallelogram are special trapezoids;
A number divided by 0.2 is the result of multiplying this number by 5.
2. In the following types (
) is an equation.
A 3X-0.5×5
B 2X=0.68
C X+ 1.2< 10
3. The following decimal number closest to 10 is (
)
10.0 1 B
9.998 degrees Celsius
9.9
Third, the judge. Mark "√" correctly and "×" incorrectly. (8 points)
1, if the dividend is greater than the divisor, the quotient must be greater than 1. ( )
2. Decimals greater than 0.4 and less than 0.6 are only 0.5. ( )
3. An equilateral triangle cannot be a right triangle.
( )
4. Square and rectangle are special parallelogram. (
)
Fourth, calculation. (36 points)
1, write directly. (8 points)
1.06+9.4= 2÷0.2= 9.93+0. 1= 4.04÷4=
10-2.3= 5.2÷4= 0.24×5= 2.5×0.4=
2. Column vertical calculation. (10)
3.67+20.438=
100.7-9.603=
Check calculation:
0.325×3.6=
14.39÷2.4≈
(Figures shall be kept to two decimal places)
Check calculation:
3. The calculation of parting can be simplified. (12 point) 99× 0.625+0.625 (53.76-17.49) ÷1.8
(0.8×7+4.56÷ 1.9)× 12.5 15.73-(2. 17+0.73)- 1.83
4. Solve the equation. (6 points) 2.5x-1.4 = 5.67.8x-4.8x =12.
5. What is the sum of the difference between1and 54.6 minus the quotient of 3 1.4 and 0.6 divided by 0.96? 2. The sum of five times of a number 17.83 is 1 17.83. What's this number?
Sixth, draw a picture. (6 points) The side length of each small square below is 1cm. Please draw a rectangle 4 cm long and 3 cm wide. Draw a parallelogram with a base of 4cm and a height of 3cm; Draw a triangle with a base length of 8 cm and a height of 3 cm on this side.
Step into life and solve problems. (22 points) 1. The following are the scores of five judges when Xiaoli and Xiaole were in the dance competition. (6 points)
Evaluation Committee 1 2 3 4 5
Xiaoli 9.65 9.58 9.70 9.45 9.22
Xiaole 9.56 9.48 9.80 9.55 9.60
The method of summarizing the scores is to remove a highest score and a lowest score, and the remaining scores are added and divided by a few, which is the final score of the player. Please calculate, Xiaoli and Xiaole finally scored, who is taller? How much higher?
2. A dripping faucet wastes 0.0 12 cubic meter of water every day. (6 points) ① There are 100 such faucets in a community. How many cubic meters of water is wasted in a month? How many cubic meters of water was wasted in this community in 2005? ③ A certain place in Ningxia Hui Autonomous Region is seriously short of water, and the daily water consumption per 100 households is only 1.5 cubic meters. How many households can waste water in this community of Ningxia Hui Autonomous Region?
3. Celebrate "Six? On Children's Day on June 1st, the school bought 200 pens and 150 pencil boxes to reward Honghua teenagers, which cost 2660 yuan. Given each pen 8.5 yuan, how much is each pencil box? (Solve by equation) (5 points) 4. After adding 30 liters of oil at the gas station, the driver, Uncle Wang, went to a company 80 kilometers away from the gas station/KLOC-0 to do business. According to 8 kilometers per liter of oil, how many liters of oil does he need to add when he comes back? (5 points)