Test 19 action rational numbers. Mathematics test "actions with rational numbers"

Math tests. 6th grade. Zhuravlev S.G., Ermakov V.V. and etc.

2nd ed., revised. and additional - M.: 2015. - 128 p. M.: 2013. - 128 p.

This manual fully complies with the federal state educational standard(second generation). The manual contains test tasks in mathematics to all 6th grade mathematics textbooks included in federal list textbooks. Tests are given in two versions on all topics studied in the 6th grade. At the end, a final test is offered in two versions. All questions have answers.

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TABLE OF CONTENTS
TEST 1. Relations between numbers and quantities 5
TEST 2. Scale 7
TEST 3 this respect 9
TEST 4. Proportions 11
TEST 5. Direct and inverse proportionality 13
TEST 6. The concept of interest 15
TEST 7
TEST 8. Pie charts 19
TEST 9. Negative integers 23
TEST 10. Opposite numbers. Modulus of 25
TEST 11. Comparison of integers 27
TEST 12
TEST 13. Laws of addition of integers 31
TEST 14
TEST 15
TEST 16
TEST 17. Distributive law 39
TEST 18
TEST 19. Actions with sums of several terms 43
TEST 20
TEST 21. Negative fractions 47
TEST 22. Rational numbers 49
TEST 23. Comparison of rational numbers 51
TEST 24
TEST 25
TEST 26
TEST 27. mixed fractions arbitrary sign 59
TEST 28
TEST 29. Equations 63
TEST 30
TEST 31
TEST 32
TEST 33
TEST 34
TEST 35
TEST 36
TEST 37
TEST 38. Difficult tasks for interest 81
TEST 39
TEST 40
TEST 41
TEST 42 common fraction to the final decimal 89
TEST 43 decimals 91
TEST 44
TEST 45. Circumference. Circle area 95
TEST 46. Coordinate axis 97
TEST 47. Cartesian system coordinates on the plane 99
TEST 48
Final test 106
Answers 122

Mathematics test for control

on the topic "All actions with rational numbers»

Target: establishing the level of formation of subject, meta-subject and personal results students on the topic "Rational numbers".

Standard requirements:

    Personal results:

    Metasubject results:

    Subject Results:

Work instructions

You have 30 minutes to complete the entire job.

The work consists of 7 tasks. Among them, 3 tasks with the choice of one correct answer out of four proposed (tasks 2, 3, 5), 1 task for correlation (task 1), 1 task with a short answer (task 4), 1 task for compiling an expression and finding a value (task 7) and 1 task, requiring to draw up equations according to a given condition (task 6).

Tasks 2. There are 2 possible answers to the task, one of which is correct. (1 point)

Tasks 3. There are 4 possible answers to the task, one of which is correct. (1 point)

Task 5. There are 4 possible answers to the task, one of which is correct. (2 points)

Task 1 for correlation. Students enter the corresponding letter in the table given in the answer under each number. For every right specified pair 0.5 points are awarded. Maximum score for task 2.

Task 4 with a free answer. Students present their solution on a draft and write out the received answer on the form. The maximum score for the task is 3.

Task 6 on drawing up equations with a given answer. The maximum score is 4.

Task 7 to compose an expression according to given conditions, based on existing knowledge on the topic and finding the meaning of the expression. The maximum score for the task is 4.

Maximum amount points for all work - 17.

Option 1

    Expression value

    3. Find out the root of which equation is the number 3. Write down the correct answer.

    1)

    2)

    3)

    4)

    4. Calculate:

    BUT)

    B)

    Answer_______________________

    5. Select the number of the figure corresponding to the inequality a<-b .


    6. Come up with and write down four equations with different mathematical operations, whose root is the number -4.

    7. Write down the expression: modulus of the difference between the number a and the sum of the numbers b and c. Find the value of the expression when a = -5, b = -0.5 and c = -0.05.

    Test "All actions with rational numbers"

    Option 2

    1. Match the expressions with their answers. Record the result in a table.

      Expression value
      is a negative number?

      3. Find out the root of which equation is the number 2. Write down the correct answer.

      1)

      2)

      3)

      4)

      4. Calculate:

      BUT)

      B)

      Answer_______________________

      5. Select the number of the figure corresponding to the inequality -a>b.


      6. Come up with and write down four equations with different mathematical operations, the root of which is the number -6.

      __________________________________________________________________

      7. Write down the expression: modulus of the difference between the number b and the sum of the numbers a and c. Find the value of the expression when a = -5, b = -0.5 and c = -0.05.

      Answer_______________________________________________________

      Evaluation criteria test control knowledge

      Activity levels

      UUD

      Criteria

      job number

      Max. score

      Emotional-psychol.

      Personal

      Regulatory

      Regulatory

      Social

      Commu-

      nikativnye

      Analytical

      Know-

      vatel-

      nye

      Knowledge of the concept opposite number

      The ability to find the numbers depicted by points on the coordinate line.

      The ability to compare numbers depicted on the coordinate line

      Creative cue

      Personal

      The ability to compose an expression according to given conditions and on the basis of existing knowledge on the topic.

      Self-improvement

      Regulus-

      active

      Solving a composed expression containing a module and finding its value.

      Answers

      Test work results

      Class: 6A Subject: maths Teacher: Date:

      Purpose: to establish the level of formation of subject, meta-subject and personal results among students in accordance with the requirements of the Federal State Educational Standard

      Emotional-

      crazy..

      Regulatory

      Social

      Analytical

      Creative

      self-created

      promotion

      Total points

      % completed

      mark

      Job number

      4(a)

      4 (b)

      Full name of students

      /points

      17

      5

      6.5

      3

      4

      2

      8.5

      4

      6.5

      3

      6

      3

      9

      4

      7

      3

      10

      4

      5

      3

      5.5

      3

      9

      4

      12

      4

      3

      2

      3.5

      2

      3

      2

      5.5

      3

      14

      5

      2.5

      2

      9.5

      4

      8

      4

      4

      2

      4.5

      2

      5

      3

      Real. points

      35.5

      4 0

      Max. points

      % achieved.

      77

      87

      13

      57

      36

      21

      UUD

      Personal

      Regulatory

      Communicative

      cognitive

      % achievements

      55.5

      54

      13

      57


      Analytic note based on test results

      on this topic "All actions with rational numbers »

      Target: level setting educational achievements students on the topic " Rational numbers" based on the requirements of the Federal State Educational Standard.

      Class: 6 Test date:

      test work established the level of formation of the following subject, meta-subject and personal results:

      • formation of a responsible attitude to learning,

        formation of a student's readiness and ability for self-development and self-education based on motivation for learning and cognition.

        ability to consciously choose effective ways solving educational and cognitive problems,

        the ability to assess the correctness of the implementation of the educational task.

        Mastering the methods of calculating rational numbers,

        Development of the ability to use techniques to solve various mathematical problems.

      As a result of testing, the following results:

      Subject Results :

      On the high level formation
      knowledge:

        The simplest operations with rational numbers

        The ability to perform calculations with rational numbers taken under the modulus sign.

        Ability to solve simple equations with rational numbers.

      On the low level formation
      skills:

        Ability to perform calculations with rational numbers in several steps

      Metasubject Results :

      The most formed are the following components of activity:

        regulatory,

        cognitive

      The least formed are the following components of activity:

        social.

        self improvement.

      and universal learning activities:

        communicative.

      Levels of achievement of activity components:

      Emotionally - psychological 77 %

      Regulatory 87 %

      Social 13 %

      Analytical 57 %

      Creative 36 %

      self-improvement 21 %.

      Levels of formation of universal learning activities:

      Regulatory UUD 54 %,

      Communicative UUD 13 %

      Cognitive UUD 57 %

      Personal UUD 55,5 %

      conclusions:

      1. According to the results of testing revealed high level formation theoretical knowledge on the subject, the ability to find and compare the numbers depicted by dots on the coordinate line; emotional-psychological and regulatory components of activity, cognitive UUD.

      2. Shortcomings in the preparation of students were revealed:

      The ability to solve expressions in several actions is not sufficiently formed, the creative component and self-improvement, communicative UUD is less formed.

      Offers:

      During training sessions it is necessary to pay attention to the formation of the components of activity and universal educational actions, the development of subject and personal results:

      Increase the level of complexity of the task, include tasks of a non-standard nature that require creativity to the decision, to create conditions for students conducive to self-improvement.