Test in grade 7
Place of work: GBOU SOSH s. Krivoluchye - Ivanovka. Krasnoarmeyskiy district, Samara region
The test is designed for 5-10 minutes. at the end of the school year for students in grade 7. The test is given in order to check the strength of the students' assimilation of knowledge about the names of physical quantities, their designation and units of measurement in the international system of SI.
Physics test 7
Physical quantities, their designations and units of measurement in SI
Option 1
1. What is the letter for speed?
3. What letter denote the density of a substance?
4. In what units is it measured acceleration of gravity?
5. What letter denote time?
A) V; B) v; B) T; D) t; E) s.
A) H (Newton); B) m (Meter); C) J (Joule); D) Pa (Pascal); D) kg (Kilogram).
7. What letter represent strength?
8. In what units is body weight measured in the international SI system?
11. What letter represent the height?
12. In what units in the international system of notation SI work is measured?
EVALUATION
Physics test 7
Physical quantities, their designations and units of measurement in SI
Option 2
1. In what units is body weight measured in the international system of SI?
A) kg (Kilogram); B) N (Newton); B) g (gram); D) t (Ton); D) c (Centner).
2. In what units in the international system of notation SI the pressure is measured?
A) H (Newton); B) m (Meter); C) J (Joule); D) Pa (Pascal); D) kg (Kilogram).
3. In what units is it measured acceleration of gravity?
A) Pa (Pascal); B) N (Newton); C) J (Joule); D) kg / m³ (kilogram / cubic meter); E) N / kg (Newton / kilogram).
4. What letter is used for time?
A) V; B) v; B) T; D) t; E) s.
5. In what units in the international SI system is work measured?
A) Pa (Pascal); B) N (Newton); C) J (Joule); D) W (Watt); D) Nm (Newton meter).
6. In what units in the international SI system is the path measured?
A) H (Newton); B) m (Meter); C) J (Joule); D) Pa (Pascal); D) kg (Kilogram).
7. What is the letter for speed?
A) V; B) v; B) T; D) t; E) s.
8. What letter represent the volume of the body?
A) t; B) v; B) T; D) V; E) s.
9. What letter denote the density of a substance?
A) ρ; B) v; B) P; D) m; E) g.
10. In what units in the international SI system is area measured?
A) ha (Hectare); B) m (Meter); C) J (Joule); D) m² (Meter squared); D) N (Newton).
11. What letter denote strength?
A) f; B) F; B) P; D) N; E) h.
12. What letter represent the height?
A) H; B) L; B) h; D) a; E) b.
EVALUATION
Every 2 correct answers gives 1 point.
"5" - 10 rights. answers and more; "4" - 8-9 rights. answers; "3" - 6-7 rights. answers;
"2" - 4-5 rights. answers; "1" - 2-3 rights. answer.
Physics test 7
Physical quantities, their designations and units of measurement in SI
Option 3
1. What letter represent pressure?
A) p; B) v; B) T; D) t; E) s.
2. In what units in the international system of notation SI the speed is measured?
3. What letter denote the strength of Archimedes?
A) F A
4. What is equal acceleration of gravity?
5. What letter represent the mass?
6. In what units in the international SI system is power measured?
A) f; B) F; B) P; D) N; E) h.
8. In what units is measured in the international number system support reaction forcebody?
A) kg (Kilogram); B) N (Newton); B) g (gram); D) t (Ton); D) c (Centner).
9. What letter represent the volume of the body?
A) t; B) v; B) T; D) V; E) s.
10. What multiplier means the prefix kilo ...?
11. What letter denote the length?
A) H; B) L; B) h; D) a; E) l.
12. What factor does the prefix milli ... mean?
A) 10); B) 100; B) 1000; D) 0.001; E) 0.01
EVALUATION
Every 2 correct answers gives 1 point.
"5" - 10 rights. answers and more; "4" - 8-9 rights. answers; "3" - 6-7 rights. answers;
"2" - 4-5 rights. answers; "1" - 2-3 rights. answer.
Physics test 7
Physical quantities, their designations and units of measurement in SI
Option 4
1. What letter indicate the volume of the body?
A) t; B) v; B) T; D) V; E) s.
2. What letter denote the strength of Archimedes?
A) F A; B) F; B) A; D) Fa; E) F t.
3. What factor does the prefix centi ... mean?
A) 10); B) 100; B) 1000; D) 0.001; E) 0.01
4. What is equal acceleration of gravity?
A) 10; B) 1000; B) 1030; D) 100; E) 0.1.
5. What factor does the prefix kilo ... mean?
6. What letter is used for mass?
A) m; B) v; B) T; D) t; E) s.
7. What letter represent the depth?
A) f; B) F; B) P; D) N; E) h.
8. In what units in the international SI system is speed measured?
A) km / h (Kilometer per hour); B) m (Meter); C) J (Joule); D) Pa (Pascal); D) m / s (Meter per second).
9. What is the multiplier for the prefix mega ...?
A) 1,000,000; B) 100; B) 1000; D) 0.000001; E) 0.0001
10. What letter represent pressure?
A) t; B) v; B) T; D) p; E) s.
11. In what units in the international SI system is power measured?
A) H (Newton); B) m (Meter); C) J (Joule); D) Pa (Pascal); E) W (Watt).
12. What factor does the prefix hecto mean ...?
A) 10); B) 100; B) 1000; D) 0.001; E) 0.01
EVALUATION
Every 2 correct answers gives 1 point.
"5" - 10 rights. answers and more; "4" - 8-9 rights. answers; "3" - 6-7 rights. answers;
"2" - 4-5 rights. answers; "1" - 2-3 rights. answer.
test topic
Information units (translation)
subject
Computer science
class / group
sources and literature used
fIPI materials
keywords or basic concepts separated by commas (at least 5 pieces):
information, units of measurement, translation, bit, byte
methodical annotation
some topics in the computer science course are taught at the beginning of the tenth grade (when passing in the middle level and earlier), and the skills are used when passing the entire course and passing the exam.
Here's a five-minute job that you can do at the beginning or end of the lesson.
Option 1
How many Mbytes of information does a message containing 2 to the 28th power of bits contain?
(The answer is one number.)
How many bits of information does a 16KB message contain?
(The answer is degree 2).
How many kbps of information does a message of 2 to 23 bytes contain?
(The answer is degree 2).
How many bytes of information does a 512 Gbps message contain?
(The answer is degree 2).
How many bytes of information does a 0.25 Kb message contain?
(The answer is one number.)
Option 2
How many Kbytes of information does a message contain 2 to the power of 21 bits?
(The answer is one number.)
How many bits of information does an 8 GB message contain?
(The answer is degree 2).
(The answer is degree 2).
How many bytes of information does a 1 Mbit message contain?
(The answer is degree 2).
How many Mbps of information does a 0.25 Gbps message contain?
(The answer is one number.)
Option 3
1. How many GB of information does a message of 2 to the power of 33 bits contain?
(The answer is one number.)
2. How many bits of information does a 512 MB message contain?
(The answer is degree 2).
3. How many Mbits of information does a message of 2 to the 27th power of bytes contain?
(The answer is degree 2).
4. How many bytes of information does a 4096 Kb message contain?
(The answer is degree 2).
5. How many KB of information does a 0.25 MB message contain?
(The answer is one number.)
Option 4
1. How many Mbytes of information does a message of 2 to the power of 30 bits contain?
(The answer is one number.)
2. How many bits of information does a 1024 Kb message contain?
(The answer is degree 2).
3. How many Kbps of information does a message of 2 to 21 bytes contain?
(The answer is degree 2).
4. How many bytes of information does a 32 Gbps message contain?
(The answer is degree 2).
5. How many bits of information does a 0.125 Kb message contain?
(The answer is one number.)
Option 5
1. How many Kbytes of information does a message of 2 to the power of 24 bits contain?
(The answer is one number.)
2. How many bits of information does a 32 GB message contain?
(The answer is degree 2).
3. How many Gbps of information does a message of 2 to the power of 35 bytes contain?
(The answer is degree 2).
4. How many bytes of information does a 128 Mbit message contain?
(The answer is degree 2).
5. How many MB of information does a 0.125 GB message contain?
(The answer is one number.)
Option 6
1. How many GB of information does a message of 2 to the 39th power of bits contain?
(The answer is one number.)
2. How many bits of information does a 64 MB message contain?
(The answer is degree 2).
3. How many Mbits of information does a message with a volume of 2 to 26 bytes contain?
(The answer is degree 2).
4. How many bytes of information does a 512 Kb message contain?
(The answer is degree 2).
5. How many Kbit of information does a 0.125 Mbit message contain?
(The answer is one number.)
Option 7
1. How many MB of information does a message of 2 to the power of 33 bits contain?
(The answer is one number.)
2. How many bits of information does an 8192 KB message contain?
(The answer is degree 2).
3. How many Kbits of information does a message of 2 to 18 bytes contain?
(The answer is degree 2).
4. How many bytes of information does a 16 Gbps message contain?
(The answer is degree 2).
5. How many bytes of information does a 0.5 KB message contain?
(The answer is one number.)
Option 8
1. How many Kbytes of information does a message of 2 to the power of 20 bits contain?
(The answer is one number.)
2. How many bits of information does a 2 GB message contain?
(The answer is degree 2).
3. How many Gbps of information does a message of 2 to the power of 40 bytes contain?
(The answer is degree 2).
4. How many bytes of information does an 8192 Mbit message contain?
(The answer is degree 2).
5. How many Mbps of information does a 0.5 Gbps message contain?
(The answer is one number.)
Option 9
1. How many GB of information does a message of 2 to the 37th power of bits contain?
(The answer is one number.)
2. How many bits of information does an 8 MB message contain?
(The answer is degree 2).
3. How many Mbits of information does a message with a volume of 2 to 24 bytes contain?
(The answer is degree 2).
4. How many bytes of information does a 4KB message contain?
(The answer is degree 2).
5. How many KB of information does a 0.5 MB message contain?
(The answer is one number.)
Option 10
How many Mbytes of information does a message containing 2 to 25 bits contain?
(The answer is one number.)
How many bits of information does a 4096 KB message contain?
(The answer is degree 2).
How many kbps of information does a message of 2 to the power of 24 bytes contain?
(The answer is degree 2).
How many bytes of information does a 64 Gb message contain?
(The answer is degree 2).
How many bits of information does a 0.25 Kb message contain?
(The answer is one number.)
Option 11
How many Kbytes of information does a message of 2 to the power of 25 bits contain?
(The answer is one number.)
How many bits of information does a 16 GB message contain?
(The answer is degree 2).
How many Gbps of information does a message of 2 to 39 bytes contain?
(The answer is degree 2).
How many bytes of information does a 2 Mbit message contain?
(The answer is degree 2).
How many MB of information does a 0.25 GB message contain?
(The answer is one number.)
Option 12
1. How many GB of information does a message of 2 to the power of 34 bits contain?
(The answer is one number.)
2. How many bits of information does a 4 MB message contain?
(The answer is degree 2).
3. How many Mbits of information does a message with a volume of 2 to 36 bytes contain?
(The answer is degree 2).
4. How many bytes of information does a 2048 Kb message contain?
(The answer is degree 2).
5. How many Kbps of information does a 0.25 Mbps message contain?
(The answer is one number.)
Option 13
1. How many MB of information does a message of 2 to the power of 26 bits contain?
(The answer is one number.)
2. How many bits of information does a 128 Kb message contain?
(The answer is degree 2).
3. How many kbps of information does a message of 2 to the power of 15 bytes contain?
(The answer is degree 2).
4. How many bytes of information does a 128 Gbps message contain?
(The answer is degree 2).
5. How many bytes of information does a 0.125 Kb message contain?
(The answer is one number.)
Option 14
1. How many Kbytes of information does a message of 2 to 26 bits contain?
(The answer is one number.)
2. How many bits of information does a 64 GB message contain?
(The answer is degree 2).
3. How many Gbps of information does a message of 2 to 37 bytes contain?
(The answer is degree 2).
4. How many bytes of information does an 8 Mbit message contain?
(The answer is degree 2).
5. How many Mbps of information does a 0.125 Gbps message contain?
(The answer is one number.)
Option 15
1. How many GB of information does a message of 2 to the power of 38 bits contain?
(The answer is one number.)
2. How many bits of information does a 1024 MB message contain?
(The answer is degree 2).
3. How many Mbits of information does a message of 2 to the power of 30 bytes contain?
(The answer is degree 2).
4. How many bytes of information does a 32 Kb message contain?
(The answer is degree 2).
5. How many KB of information does a 0.125 MB message contain?
(The answer is one number.)
Option 16
1. How many Mbytes of information does a message of 2 to the power of 29 bits contain?
(The answer is one number.)
2. How many bits of information does a 2048 Kb message contain?
(The answer is degree 2).
3. How many Kbits of information does a message of 2 to 22 bytes contain?
(The answer is degree 2).
4. How many bytes of information does a 4 Gb message contain?
(The answer is degree 2).
5. How many bits of information does a 0.5 Kb message contain?
(The answer is one number.)
Option 17
1. How many Kbytes of information does a message with a volume of 2 to 23 bits contain?
(The answer is one number.)
2. How many bits of information does a 1 GB message contain?
(The answer is degree 2).
3. How many Gbps of information does a message of 2 to the power of 38 bytes contain?
(The answer is degree 2).
4. How many bytes of information does a 16 Mbit message contain?
(The answer is degree 2).
5. How many MB of information does a 0.5 GB message contain?
(The answer is one number.)
Option 18
1. How many GB of information does a message containing 2 to the power of 36 bits contain?
(The answer is one number.)
2. How many bits of information does a 128 MB message contain?
(The answer is degree 2).
3. How many Mbits of information does a message of 2 to 23 bytes contain?
(The answer is degree 2).
4. How many bytes of information does a 256 Kbit message contain?
(The answer is degree 2).
5. How many Kbps of information does a 0.5 Mbps message contain?
(The answer is one number.)
1
2
3
4
5
6
7
8
9
1
256
128
2048
1024
128
2
3
4
5
256
256
256
128
128
128
512
512
512
10
11
12
13
14
15
16
17
18
1
4096
8192
1024
2
3
4
5
256
256
256
128
128
128
512
512
512
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1 British minim \u003d 0.0160126656733981 drachma
Initial value
Converted value
m3 british glass american glass (metric) glass british ounce fluid USA ounce fluid british tablespoon amer. tablespoon (meter) tablespoon Brit. dessert spoon amer. dessert spoon brit. teaspoon Amer. teaspoon metric. teaspoon brit. jill, gill american jill, gill british minim american minim british cubic mile cubic yard cubic foot cubic inch register tonne 100 cubic feet 100 cubic foot acre-foot acre-foot (US, geodetic) acre-inch decaster decister cord tan hogshead board foot drachma cor (biblical unit) homer (biblical unit) baht (biblical unit) gyn (biblical unit) kab (biblical unit) log (biblical unit) glass (Spanish) volume of the earth Planck volume cubic astronomical unit cubic parsec cubic kiloparsec cubic kiloparsec gigaparsec cask bucket damask quarter wine bottle vodka bottle glass cup scale
Electric potential and voltage
Learn more about volume and units in recipes
General information
Volume is the space occupied by a substance or object. Also, the volume can refer to the free space inside the container. Volume is a three-dimensional quantity, as opposed to, for example, length, which is two-dimensional. Therefore, the volume of flat or two-dimensional objects is zero.
Volume units
Cubic meter
The SI unit of volume is cubic meter. The standard definition of one cubic meter is the volume of a cube with edges one meter long. Derived units such as cubic centimeters are also widely used.
Liter
The liter is one of the most commonly used units in the metric system. It is equal to the volume of a cube with edges 10 cm long:
1 liter \u003d 10 cm × 10 cm × 10 cm \u003d 1000 cubic centimeters
It's like 0.001 cubic meters. The mass of one liter of water at 4 ° C is approximately equal to one kilogram. Milliliters, which are equal to one cubic centimeter or 1/1000 liter, are often used. A milliliter is usually referred to as ml.
Jill
Gills are units of volume used in the United States to measure alcoholic beverages. One jill is five fluid ounces in the British imperial system, or four in the American one. One American jill is equal to a quarter of a pint or half a cup. Irish pubs serve hot drinks in quarter-gill portions, or 35.5 milliliters. Scotch servings are smaller - one-fifth of a gill, or 28.4 milliliters. In England, until recently, portions were even smaller, only one-sixth of a gill, or 23.7 milliliters. Now, this is 25 or 35 milliliters, depending on the rules of the institution. The hosts can decide for themselves which of the two portions to serve.
Dram
Dram, or drachma, is a measure of volume, mass, and also a coin. In the past, this measure was used in pharmacy and was equal to one teaspoon. Later the standard volume of a teaspoon changed, and one spoon became equal to 1 and 1/3 drachma.
Volumes in cooking
Liquids in cooking recipes are usually measured by volume. Loose and dry products in the metric system, on the contrary, are measured by weight.
Tea spoon
The volume of a teaspoon is different in different measuring systems. Initially, one teaspoon was a quarter of a tablespoon, then one third. It is the latter volume that is now used in the American measurement system. This is approximately 4.93 milliliters. In American dietetics, the size of a teaspoon is 5 milliliters. In the UK, it is common practice to use 5.9 milliliters, but in some diet guides and cookbooks it is 5 milliliters. The volume of a teaspoon used in cooking is usually standardized in each country, but spoons of different sizes are used for food.
Tablespoon
The volume of a tablespoon also varies depending on the geographic region. So, for example, in America, one tablespoon is three teaspoons, half an ounce, about 14.7 milliliters, or 1/16 of an American cup. Tablespoons in the UK, Canada, Japan, South Africa and New Zealand also contain three teaspoons. So, a metric tablespoon is 15 milliliters. British tablespoon - 17.7 milliliters, if a teaspoon - 5.9, and 15 - if a teaspoon - 5 milliliters. Australian tablespoon - ⅔ ounce, 4 teaspoons, or 20 milliliters.
A cup
As a measure of volume, cups are not defined as strictly as spoons. The cup volume can vary from 200 to 250 milliliters. The metric cup is 250 milliliters, and the American cup is slightly smaller, about 236.6 milliliters. In American dietetics, the volume of a cup is 240 milliliters. In Japan, cups are even smaller - only 200 milliliters.
Quarts and gallons
Gallons and quarts also vary in size depending on the geographic region where they are used. In the imperial system of measurement, one gallon is equal to 4.55 liters, and in the American system of measures it is 3.79 liters. Fuel is generally measured in gallons. A quart is equal to a quarter of a gallon and, accordingly, 1.1 liters in the American system, and approximately 1.14 liters in the imperial system.
Pint
Pints \u200b\u200bare used to measure beer even in countries where the pint is not used to measure other liquids. In the UK, pints are used to measure milk and cider. A pint is equal to one eighth of a gallon. Some other countries in the Commonwealth of Nations and Europe also use pints, but since they depend on the definition of a gallon, and a gallon has a different volume depending on the country, pints are also not the same everywhere. An imperial pint is approximately 568.2 milliliters, and an American pint is 473.2 milliliters.
Fluid ounce
An imperial ounce is roughly equal to 0.96 US ounces. Thus, an imperial ounce contains approximately 28.4 milliliters, and an American ounce contains 29.6 milliliters. One American ounce is also approximately equal to six teaspoons, two tablespoons, and one-eighth cup.
Volume calculation
Liquid displacement method
The volume of an object can be calculated using the liquid displacement method. To do this, it is immersed in a liquid of a known volume, a new volume is calculated or measured geometrically, and the difference between these two quantities is the volume of the object being measured. For example, if, when an object is lowered into a cup with one liter of water, the volume of the liquid increases to two liters, then the volume of the object is one liter. In this way, you can only calculate the volume of objects that do not absorb liquid.
Volume formulas
The volume of geometric shapes can be calculated using the following formulas:
Prism: product of the area of \u200b\u200bthe base of the prism and the height.
Rectangular parallelepiped: product of length, width and height.
Cube: rib length in the third degree.
Ellipsoid: product of semiaxes and 4 / 3π.
Pyramid: one third of the product of the area of \u200b\u200bthe base of the pyramid and the height. Post a question to TCTerms and you will receive an answer within a few minutes.
Test in mathematics, grade 5, on the topic "Measurement of quantities"
Work instructions
The work takes 45 minutes. The work consists of 11 tasks.
Answers to the tasks are recorded on the answer sheet. When recording them, the following is taken into account:
in tasks with a choice of answer, the number of the correct answer is indicated;
in tasks with a short answer, the number obtained as a result of the solution is indicated;
in assignments for correlation, a sequence of numbers from the table of answers is indicated without using letters, spaces and other symbols (wrong: A-2, B-1, B-3; correct: 213).
If you find that you wrote down an incorrect answer on the form, then carefully cross it out and write the correct one next to it.
All necessary calculations and transformations are done in the draft. Drafts are not checked and do not count towards the check mark.
The correct answer, depending on the complexity of each task, is evaluated with one or more points. The points you received for all completed tasks are summed up. Try to complete as many tasks as possible and score as many points as possible.
| 1. What is the area of \u200b\u200ba rectangle with sides of 5 cm and 8 cm? Give your answer in square centimeters. |
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| Answer: ______________ |
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| 2. The radius of the circle is 6 cm. What is the diameter of this circle? Give your answer in centimeters. |
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| Answer: ______________ |
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| 3. Set the correspondence between the degree measure of the angle and its type |
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| 4) expanded |
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| |
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| 4. Choose the correct statements |
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| 1) If the triangles are equal, then their perimeters are equal |
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| 2) If the perimeters of the triangles are equal, then the triangles are equal |
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| 3) If the areas of the triangles are equal, then the triangles are equal |
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| 4) If the triangles are equal, then their areas are equal |
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| 5. Establish a correspondence between the triangle and its description |
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| 1) equilateral rectangular |
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| 2) isosceles acute-angled |
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| 3) isosceles rectangular |
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| 4) versatile obtuse |
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| 5) versatile acute-angled |
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| 6) equilateral acute-angled |
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| 7) isosceles obtuse |
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| |
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| 6. Choose the correct statements |
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| 1) Any isosceles triangle is equilateral |
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| 2) Any equilateral triangle is isosceles |
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| 3) Any square is a rectangle |
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| 4) Any rectangle is a square |
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| 7. The length of the rectangle was increased by 8 times, and its width was decreased by 2 times. How has the area of \u200b\u200bthis rectangle changed? |
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| 1) Increased by 4 times | 2) Decreased by 4 times |
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| 3) Increased 16 times | 4) Decreased 16 times |
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| 8. Select the correct statement. |
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| 1) 2 dm2< 80 см2 | 2) 470 cm2\u003e 4 m2 |
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| 3) 7 ha\u003e 60,000 m2 | 4) 600 m2< 6 а |
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| 9. Select a statement that has an error |
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| 1) 3 hours \u003d 10 800 s | 2) 2 days 5 h 30 min \u003d 3 230 min |
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| 3) 6 t 15 c 2 kg \u003d 7 502 kg | 4) 9 kg 75 g \u003d 9,075 g |
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| 10. One side of the triangle is 18 cm, the second is 10 cm larger, and the third is 2 times the first side. What is the perimeter of this triangle? |
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| Answer: _________________________________ |
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| 11. Calculate the volume of a figure made up of identical cubes with an edge equal to 3 cm. |
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| Decision: _____________________________________________________________________ |
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| Answer: ___________________________ |
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Form of answers to the test "Measurement of quantities"
| Surname, name _______________________________________________ | Class _____________ |
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| Points (given by the teacher) |
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Assignment 10
Assignment 11
Keys and evaluation criteria for test items
| Job No. | Criteria for evaluation | ||
| 0.5 points if item 1 is recorded and item 2 is not recorded 0.5 points if item 4 is recorded and item 3 is not recorded (for example, answer 124 is worth 0.5 points) | |||
| 1.5 points, if all characters are written correctly, 1 point, if on any one position of the answer the wrong character is written, which is presented in the standard answer; 0.5 points, if any two positions of the answer are written not the characters that are presented in the standard answer, and 0 points in all other cases | |||
| 0.5 points if item 2 is recorded and item 1 is not recorded 0.5 points if item 3 is recorded and item 4 is not recorded (for example, answer 13 is worth 0.5 points) | |||
| 1 point if the problem as a whole was solved correctly, but 1 mistake or computational error was made | |||
| 2 points, if the problem is solved correctly, the correct answer is received 1 point, if the volume of one cube is found, but the volume of the whole figure is not found, or the problem is completely solved, but 1 mistake or 1 computational error was made | |||
| Maximum points | |||
Description of test work
The test is focused on the work on the EMC S.M. Nikolsky (Textbook Mathematics. Grade 5: textbook for general education institutions / [S.M. Nikolsky, M.K.Potapov, NN Reshetnikov, A.V. Shevkin] - M.: Education, 2015). The purpose of the test is to check the level of mastering of the educational material in Chapter 2 "Measurement of quantities", paragraphs 2.5 - 2.13.
The test consists of two parts and contains 11 tasks. Of these, 6 tasks of the basic level, 4 tasks of an advanced level and 1 task of a high level of complexity. Tasks 1-9 provide three forms of response:
. with a choice of answers out of four proposed - 5 tasks,
. with a short answer - 2 tasks,
. for compliance - 2 tasks.
Students must demonstrate: mastery of basic algorithms; knowledge and understanding of such mathematical concepts as a circle, an angle, a triangle, a quadrangle, their properties, knowledge of mathematical quantities, their units of measurement, knowledge of methods for solving problems.
Also testcontains 2 tasks with a detailed answer, which are aimed at checking the mastery of the material at an advanced and high level. When completing these tasks, students must demonstrate the ability to write down the solution mathematically competently, while providing the necessary explanations and justifications.
Tasks are arranged in increasing difficulty - from relatively simple to complex, assuming fluency in the material and a good level of mathematical culture.
Description of tasks
| Job No. | Job type | Difficulty level |
| With a short answer | ||
| With a short answer | ||
| Compliance | ||
| Multiple choice | ||
| Compliance | ||
| Multiple choice | ||
| Multiple choice | Elevated |
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| Multiple choice | Elevated |
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| Multiple choice | Elevated |
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| With a detailed answer | Elevated |
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| With a detailed answer |
Distribution of tasks by type
| Job type | Number of tasks | Maximum score | The percentage of the maximum score for this type of the maximum for all work |
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| Multiple choice | ||||
| With a short answer | ||||
| Compliance | ||||
| With a detailed answer |
Distribution of tasks by difficulty level
| Difficulty level | Number of tasks | Maximum score | The percentage of the maximum score for this level of the maximum for all work |
|
| Elevated | ||||
Students at the beginning of the lesson are given the full text of the work and answer forms. Answers and solutions to test problems are recorded on forms. Formulations of assignments are not rewritten, drawings are not redrawn.
After solving the problem, the answer is recorded. When recording the answer, the following are taken into account:
In tasks with a choice of answer, the number of the correct answer is indicated;
In tasks with a short answer, the number obtained as a result of the solution is indicated;
The matching task specifies a sequence of numbers from the answer table without using letters, spaces and other symbols (incorrect: A-2, B-1, B-3; correct: 213).
Students can make all the necessary calculations, transformations and drawings in a draft. Drafts are not checked and do not count towards the check mark.
Tasks №1, 2, 7, 8, 9 are considered completed correctly if the number of the correct answer is indicated (in tasks with a choice of answer), or the correct answer is entered (in tasks with a short answer).
For the answer to tasks No. 3, No. 5, 1.5 points are given if all the characters are written correctly; 1 point if on any one position of the answer the wrong character is written, which is presented in the standard answer; 0.5 points if in any two positions of the answer the wrong characters are written, which are presented in the standard answer, and 0 points in all other cases.
For the answer to task number 4, 1 point is given if the answer is given correctly; 0.5 point if recordedpoint 1, and point 2 is not written; 0.5 points if item 4 is written down and item 3 is not written (for example, answer 124 is estimated at 0.5 points).
For the answer to task number 6, 1 point is given if the answer is given correctly; 0.5 points if item 2 is recorded and item 1 is not recorded; 0.5 points if item 3 is written down and item 4 is not written (for example, answer 13 is estimated at 0.5 points).
For task No. 10 2 points are given, if the problem is solved correctly, the correct answer is received; 1 point if the problem as a whole was solved correctly, but 1 mistake or computational error was made.
For task number 11 2 points are given, if the problem is solved correctly, the correct answer is received; 1 point if the volume of one cube is found, but the volume of the whole figure is not found, or the problem is completely solved, but 1 mistake or 1 computational error has been made.
The total score is formed by summing the points received for each task.
Grade to grade conversion scale
| Mark on a five-point scale | "2" | "3" | "4" | "five" |
| Overall score | 0 - 3,5 | 4 - 7 | 7,5 - 10,5 | 11 - 14 |
Test plan
| Job No. | Testable skill or knowledge |
| Knowledge of the formula for the area of \u200b\u200ba rectangle; the ability to find the area of \u200b\u200ba rectangle |
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| Knowledge of the relationship between radius and diameter; the ability to calculate the diameter of a circle by its radius |
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| Knowledge of the types of angles; the ability to determine the type of angle by its degree measure |
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| Understanding the fact that equal figures always have equal perimeters and areas, but the equality of perimeters or areas is not a sign of equality of figures |
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| Knowledge of various types of triangles, the ability to classify triangles by sides and corners; the ability to determine the type of triangle according to the drawing |
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| Knowledge of the classification of triangles by sides, understanding of the fact of including equilateral triangles in the class of isosceles. Knowledge of various types of quadrangles, understanding the fact of including squares in the class of rectangles. |
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| Knowledge of the formula for the area of \u200b\u200ba rectangle, the ability to analyze the change in area when the sides of the rectangle change. |
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| Knowledge of area units, ability to perform unit conversion |
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| Knowledge of units of measurement of mass and time, the ability to perform unit conversion |
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| Knowledge of the concept of the perimeter of a figure, the ability to solve simple word problems |
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| Knowledge of the formula for the volume of a cube, the ability to calculate the volume of a cube, understanding the additivity of volume, the level of development of spatial thinking. |
When developing the test, materials (specification) of regional exams in mathematics in general educational organizations of the Orenburg region were used as a sample for analyzing the content of the test.