Mid-term examination paper of the first volume of fifth grade mathematics
Class name score
Fill in the blanks. (30 points, each grid 1 minute)
1, the number A is a non-zero natural number, so the minimum factor of A is (), the maximum factor is (), the minimum multiple is (), and the maximum multiple is ().
The greatest common factor of 2,8, 14 is (), and the smallest common multiple is ().
3. There is a four-digit number, the highest bit of which is the largest prime number, the hundredth bit is the smallest natural number, and the tenth bit is the smallest composite number. The number in the unit is both even and prime. This four-digit number is ().
4. In multiples of 2, 3 and 5, the smallest three digits are () and the largest three digits are ().
The length of one side of an isosceles right triangle is 9 cm, and its area is () square cm.
6. Two trapezoids with () can be combined into a parallelogram, the base of the parallelogram is equal to () of the trapezoid, the height of the parallelogram is higher than the height of the trapezoid (), and the area of the trapezoid is () of the area of the parallelogram, so the area of the trapezoid is = ().
7. After the numerator and denominator of a fraction are reduced by four times at the same time, the fraction becomes ().
8. Kilogram means both () and ().
9. Class 5 (1) has 28 boys and 26 girls. The number of boys is () of girls, and the number of girls is () of the whole class.
10、 15÷( )= = = = = =
1 1. Fill in the appropriate scores in the brackets below.
55 decimeters 2 = () meters 2 28 hours = () days 90 seconds = () minutes 26 centimeters = () decimeters.
2. Right or wrong, mark "√" for the right and "×" for the wrong. (10)
1, integers are divided into natural numbers, 0 and negative integers. ( )
2. The product of any two prime numbers must be even. ( )
3. Natural numbers can be divided into odd and even numbers. ( )
4. Numbers with 3, 6 and 9 are multiples of 3. ( )
5. The numerator of+0 is increased by 65438, and the denominator is also increased by 1, and the fraction size remains unchanged. ( )
6. Several triangles with equal base and height have the same area and different shapes. ( )
7. The sum is equal in size, but different in decimal units. ( )
8. The simplest score. ( )
9, numerator plus 4, to make the size of the fraction unchanged, the denominator should also add 4. ( )
10, for this fraction, the numerator is enlarged by 3 times and the denominator is reduced by 3 times, so the fractional value is enlarged by 9 times. ( )
Third, choose. (10)
1, which is both a multiple of 2 and a multiple of 3, has at least two digits ().
a、6 B、 12 C、24 D、96
2, according to the number of factors, non-zero natural number can be divided into ().
A, prime number and composite number b, odd number and even number c, prime number, composite number and 1 D, odd number, even number and 1
3. A composite number has at least () factors.
a、0 B、 1 C、2 D、3
4. The area of a triangle is the area of a parallelogram ().
A, twice b, half c, three times d, uncertain
5. If the area of a triangle is 24 square centimeters, then the area of a parallelogram with the same base and height is () square centimeters.
A, 12 B, 36 C, 48 D, uncertain.
6. The height of any triangle is ().
A, 1 B, 2 C, 3 D, countless
7. Party A and Party B have two ropes of equal length. If you use one rope and another rope to wash rice, then the remaining rope ().
A, the length of a root is b, the length of b root is c, and the same length is d, so they can't be compared.
8, 1 kg compared with 7 kg ().
A, 1 kg weight b, 7 kg weight c, same weight d, can't be compared.
9. Subtract 9 from the numerator of 9. In order to keep the size of the fraction unchanged, the denominator should be ().
A, minus 9 B, plus 9 C, minus 18 D, uncertain.
10, Xiaohua can write 13 characters in five minutes, and Xiaoming can write 17 characters in seven minutes, so the two of them () write fast.
A, Xiaohua B, Xiaoming C, as fast as D, unparalleled.
Fourth, calculation. (30 points)
1, a number written directly. (5 points)
0.42×0.5= 0.5 1÷ 1.7= 5.2÷0. 13= 1.06×0.4=
99× 1.0 1= 13.5-2.8-7.2= 32.8+ 19= 25×0.32× 125=
+ = 1- =
2. Solve the equation. (8 points)
3×7+4X=25 6X+ 18=48
1.2X-0.9X = 8.7 9X- 1.8 = 2.7
3. Fill in the appropriate operation symbols in the box below. (5 points)
14.7○ =3 50.8-(20+9.6○0.4)=6.8
4. Column calculation. (5 points)
What's the difference between the quotient of (1) 16.4 divided by 0.4 and the product of 2 and 5.3 subtracted?
(2) What is the product of the sum of 2.7 and 4.5 divided by 12 and the quotient multiplied by 0.3?
5. Can you answer the following questions? (7)
(1) The area of the triangle is 36cm2, the height is 9cm, and the base is what?
(2) The trapezoid has an area of 759 square meters, a base length of 45 meters and a height of 23 meters. How many meters is the upper bottom?
Fifth, the application problem. (20 points)
1. Cut a rectangular iron sheet with a length of 60 cm and a width of 40 cm into a square iron sheet with the same size. How long should the sides of a square be, so that the cut square can be the largest without redundancy? How many can I cut?
2. Orchard is trapezoidal. Its upper bottom160m, lower bottom180m, and its height is 50m. If each fruit tree covers an area of 10m2, how many fruit trees are there in this orchard?
3. The grain processing plant uses two mills to grind 17280 kg at the same time. The first grinder grinds 364 kilograms per hour, and the second grinder grinds 356 kilograms per hour. If you work eight hours a day, how many days will it take to finish grinding these noodles?
The distance between a and b is 480 kilometers. A car goes from A to B at a speed of 52 kilometers per hour. After driving for 3 12 kilometers, it meets a car coming from B. If a car in B is driving at a speed of 42 kilometers per hour, do you think the two cars left at the same time?
5. A primary school actively carried out the activity of "Protecting Mother River". School organization 130 teachers, parents and students take buses to plant trees in the suburbs. The bus is limited to 42 people, and each car rents 200 yuan every day. Passenger cars are limited to 24 people, and the daily rent for each car is 150 yuan. Complete the table below and tell how to rent a car to save money.
A bus/vehicle
A bus/car
Daily rent/yuan