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A collection of questions for the written examination of primary school mathematics teachers' recruitment

1. Calculation problem

① 1993× 19941994+1994× 19931993 ② 19.58× 66+22× 91.26

2. One pen can be exchanged for three ballpoint pens, and four ballpoint pens can be exchanged for seven pencils, so four pens can be exchanged for () pencils.

3. Two people, A and B, who are 26 kilometers away from each other, travel in opposite directions along a straight road at the same time, and go to B and A respectively. A travels 32 kilometers per hour. B travels 48 kilometers per hour. Party A and Party B each have a walkie-talkie. When the distance between them is less than or equal to 2km, they can contact each other by walkie-talkie. Q:

(1) How soon can two people start to communicate with each other by walkie-talkie?

(2) how long did it take them to meet after they contacted each other by walkie-talkie?

(3) how long can they communicate with each other by walkie-talkie?

4. March 1st next year is Thursday, so next year's National Day is a week.

5. There are 4 consecutive natural numbers, and the largest number is four times the smallest number, so the sum of the largest number and the smallest number is _ _ _ _ _ _ _.

6. Three kittens went fishing, and they caught 36 fish, among which the number of fish caught by a black cat and a flower cat was five times that of a white cat, and the number of fish caught by a flower cat was two times that of the other two cats, and nine were less. A black cat catches _ _ _ _ _ fish.

7. In the formula shown in the figure below, if the numbers in the seven squares are different from each other, the maximum value of the sum is _ _ _ _ _. (176)

8. Arrange several natural numbers starting from 1 into the shape as shown in the upper right figure. So, the second number from the left on line 25 is.

9. On Sunday morning, Xiao Ming found that the alarm clock had stopped because the battery was exhausted. He put on a new battery, estimated the time and set the hand of the alarm clock to 8:. Then, Xiao Ming left home for the planetarium. When Xiao Ming arrived at the planetarium, he saw that the standard clock of the planetarium showed 9: 15. An hour and a half later, Xiao Ming returned home from the planetarium at the same speed. I saw that the time displayed by the alarm clock was 11: 2. Excuse me, when should Xiao Ming set the alarm clock accurately? Time

1. Teacher Zhang's age is three times that of Wang Bing and four years younger. Teacher Zhang's age seven years ago is the same as that of Wang Bing nine years later. How old are Teacher Zhang and Wang Bing?

11. Two cars, A and B, leave from A and B relatively at the same time, meet four hours later, and A car will travel for another three hours to reach B. It is known that car A is 2 kilometers faster than car B every hour. How many kilometers are there between A and B?

12. Fifty-four people in the class went boating, and one * * * took 1 boats, including 6 people in each big boat and 4 people in each small boat. How many boats are there?

1. Simple calculation:

13 4.36× 12+88× 4.36

14 14.15+12.4× 99-2.11

15 7.1× 399.8

16 75× 4.67+19.9×

what is the number 28th after the decimal point of 18 4÷11quotient?

what is the sum of 135 digits after the decimal point of p>19 8÷11 quotient?

2. the decimal point of a number is shifted to the left by one place, and then added to this number, the number is 17.27. What's the number?

21. If the decimal point of a number is shifted to the right by one place, the value will be 86.4 larger than the original. What is the original number?

22. Make up the decimal point in the product and the incomplete number in the multiplication formula.

□ .□□

×□ 2 .□

□□□ □

_ □□ 8 □

□□□ 9 □ 2 □

The sum of the ages of 23 A, B and C is 113 years old, and they are the age of A.

1 Three households in Building No.1 have a one-time deposit of 2,7 yuan. The Li family saves less in 25 yuan than the Wang family, and the Wang family saves more in 8 yuan than the Zhang family. How much does each of them save?

A cage can hold 18 rabbits and 9 chickens of the same size, or 14 rabbits and 15 chickens of the same size. If it is specially used for rabbit cages, how many rabbits can it hold at most?

3 A, B and C, A is 3 years older than B, B is 2 years younger than C, and the sum of their ages is 19. How old are they?

4 The Young Pioneers' No.1, No.2, No.3 Squadron * * * killed 2 rats. The number of rats killed by the No.2 Squadron was twice as much as that of the No.1 Squadron. The number of rats killed by the No.3 Squadron was 4 more than the sum of the No.1, No.2 Squadron. How many rats were killed by each of the three squadrons?

division sign * is multiplication sign

1. Solution: Let's say that the Wangs have a deposit of X yuan, the Li family has a deposit of x-25, and the Zhang family has a deposit of x-8 yuan.

x+(x-25)+(x-8) = 27

3x-33 = 27

3x = 27+33

3x = 33

x = 11

x-25.

2. Solution: Let the cage be m, a rabbit occupy space X and a chicken occupy space y.

m=18x+9y

m=14x+15y

Available: 18x+9y = 14x+15y

4x = 6y

2x.

3. Solution: Let the age of B be X, the age of A be 2x+3, and the age of C be (x+2)/2.

X+2x+3+(x+2)/2 = 19

3x+1/2x+4 = 19

.

4. solution: the first squadron is set to kill x rats, the second squadron to kill 2x+5 rats, and the third squadron to kill 3x+9 rats.

note: x+2x+5+4=3x+9!

x+2x+5+3x+9 = 2

6x+14 = 2

6x = 186

x = 31

2x+5 = 67

3x+9 = 12

A: The first squadron killed rats.

6. Children in kindergarten are given candy, and each child is given 1 candies, but two of them are not given. If each child is given 8 candies, how many children are asked? How many sweets are there?

7. Students planted trees on Arbor Day, and each of them planted six trees, leaving four trees. If three of them planted five trees each and the rest planted seven trees each, how many students planted trees?

5. solution; Suppose that X tons need to be transported from warehouse B and put into warehouse A

3*(14-X)=18+X

X=78

A; Suppose that 78 tons need to be transported from warehouse B to warehouse A.

6. There should be 8 sweets and 1 children.

Solution: Let x children

1*(X-2)=8*X

X=1

So the number of sweets is 8 * 1 = 8

. Someone walks 2 kilometers per hour up the mountain and 5 kilometers per hour down the mountain. It takes him 38 hours to walk from Nanzhen to Beizhen and 32 hours to walk from Beizhen to Nanzhen. Q: How many kilometers is the distance between the two towns?

It takes 32+38=7 hours for this person to go back and forth.

The uphill and downhill distances are equal.

So it takes 7/(5+2)*5=5 hours to go uphill.

The distance between the two towns is 5*2=1 kilometers.

1. Calculation questions

3. Two people, A and B, who are 26 kilometers away from each other, travel in opposite directions along a straight road at the same time, and go to B and A respectively. A travels 32 kilometers per hour. B travels 48 kilometers per hour. Party A and Party B each have a walkie-talkie. When the distance between them is less than or equal to 2km, they can contact each other by walkie-talkie. Q:

(1) How soon can two people start to communicate with each other by walkie-talkie?

(2) how long did it take them to meet after they contacted each other by walkie-talkie?

(3) how long can they communicate with each other by walkie-talkie?

4. March 1st next year is Thursday, so next year's National Day is a week.

5. There are 4 consecutive natural numbers, and the largest number is four times the smallest number, so the sum of the largest number and the smallest number is _ _ _ _ _ _ _.

6. Three kittens went fishing, and they caught 36 fish, among which the number of fish caught by a black cat and a flower cat was five times that of a white cat, and the number of fish caught by a flower cat was two times that of the other two cats, and nine were less. A black cat catches _ _ _ _ _ fish.

7. In the formula shown in the figure below, if the numbers in the seven squares are different from each other, the maximum value of the sum is _ _ _ _ _. (176)

8. Arrange several natural numbers starting from 1 into the shape as shown in the upper right figure. So, the second number from the left on line 25 is.

9. On Sunday morning, Xiao Ming found that the alarm clock had stopped because the battery was exhausted. He put on a new battery, estimated the time and set the hand of the alarm clock to 8:. Then, Xiao Ming left home for the planetarium. When Xiao Ming arrived at the planetarium, he saw that the standard clock of the planetarium showed 9: 15. An hour and a half later, Xiao Ming returned home from the planetarium at the same speed. I saw that the time displayed by the alarm clock was 11: 2. Excuse me, when should Xiao Ming set the alarm clock accurately? Time

1. Teacher Zhang's age is three times that of Wang Bing and four years younger. Teacher Zhang's age seven years ago is the same as that of Wang Bing nine years later. How old are Teacher Zhang and Wang Bing?

11. Two cars, A and B, leave from A and B relatively at the same time, meet four hours later, and A car will travel for another three hours to reach B. It is known that car A is 2 kilometers faster than car B every hour. How many kilometers are there between A and B?

12. Fifty-four people in the class went boating, and one * * * took 1 boats, including 6 people in each big boat and 4 people in each small boat. How many boats are there?

1. Simple calculation:

13 4.36× 12+88× 4.36

14 14.15+12.4× 99-2.11

15 7.1× 399.8

16 75× 4.67+19.9×

what is the number 28th after the decimal point of 18 4÷11quotient?

what is the sum of 135 digits after the decimal point of p>19 8÷11 quotient?

2. the decimal point of a number is shifted to the left by one place, and then added to this number, the number is 17.27. What's the number?

21. If the decimal point of a number is shifted to the right by one place, the value will be 86.4 larger than the original. What is the original number?

22. Make up the decimal point in the product and the incomplete number in the multiplication formula.

□ .□□

×□ 2 .□

□□□ □

_ □□ 8 □

□□□ 9 □ 2 □

The sum of the ages of 23 A, B and C is 113 years old, and they are the age of A. Someone walks 2 kilometers per hour up the mountain and 5 kilometers per hour down the mountain. It takes him 38 hours to walk from Nanzhen to Beizhen and 32 hours to walk from Beizhen to Nanzhen. Q: How many kilometers is the distance between the two towns?

it takes 32+38=7 hours for this person to go back and forth.

The uphill and downhill distances are equal.

So it takes 7/(5+2)*5=5 hours to go uphill.

The distance between two towns is 5*2=1 kilometers.

1. (15+113)/16=8 (seconds)

2. Simple calculation: .1996 times .19971997 minus .1997 times .19961996=?

.1996 times .199997 minus .1997 times .19996 =

is a test of his ordinary knowledge.