Before the test get acquainted with time management during the test:
Eliminating wrong answers.
Substituting data - a reversed method of finding solution.
Estimating data.
Finding the solution and indicating the correct answer.
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Exercise 1
Wersja alternatywna ćwiczenia: The goods value is 1200 PLN. The first installment is 5% of the value. How much is it? Możliwe odpowiedzi: 1. 60 PLN, 2. 50 PLN, 3. 240 PLN, 4. 24 PLN
Wersja alternatywna ćwiczenia: The goods value is 1200 PLN. The first installment is 5% of the value. How much is it? Możliwe odpowiedzi: 1. 60 PLN, 2. 50 PLN, 3. 240 PLN, 4. 24 PLN
The goods value is 1200 PLN. The first installment is 5% of the value. How much is it?
60 PLN
50 PLN
240 PLN
24 PLN
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Exercise 2
Wersja alternatywna ćwiczenia: The value of the goods increased by 10%, then it increased again by 10%. The value of the goods increased finally Możliwe odpowiedzi: 1. more than 20%, less than 25%, 2. 20%, 3. more than 25%, 4. less than 20%
Wersja alternatywna ćwiczenia: The value of the goods increased by 10%, then it increased again by 10%. The value of the goods increased finally Możliwe odpowiedzi: 1. more than 20%, less than 25%, 2. 20%, 3. more than 25%, 4. less than 20%
The value of the goods increased by 10%, then it increased again by 10%. The value of the goods increased finally
more than 20%, less than 25%
20%
more than 25%
less than 20%
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Exercise 3
Wersja alternatywna ćwiczenia: The value of the goods decreased by 12%, then it decreased again by 12%. The value decreased by 22.56 PLN Możliwe odpowiedzi: 1. more than 22%, less than 24%, 2. 24 %, 3. more than 24%, 4. less than 22%
Wersja alternatywna ćwiczenia: The value of the goods decreased by 12%, then it decreased again by 12%. The value decreased by 22.56 PLN Możliwe odpowiedzi: 1. more than 22%, less than 24%, 2. 24 %, 3. more than 24%, 4. less than 22%
The value of the goods decreased by 12%, then it decreased again by 12%. The value decreased by 22.56 PLN
more than 22%, less than 24%
24 %
more than 24%
less than 22%
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Exercise 4
Wersja alternatywna ćwiczenia: The value of the goods increased by 20%, then it decreased by 20%. The value Możliwe odpowiedzi: 1. decreased more than 1% and less than 5%, 2. has not changed, 3. increased more than 1% and less than 5%, 4. decreased more than 5%
Wersja alternatywna ćwiczenia: The value of the goods increased by 20%, then it decreased by 20%. The value Możliwe odpowiedzi: 1. decreased more than 1% and less than 5%, 2. has not changed, 3. increased more than 1% and less than 5%, 4. decreased more than 5%
The value of the goods increased by 20%, then it decreased by 20%. The value
decreased more than 1% and less than 5%
has not changed
increased more than 1% and less than 5%
decreased more than 5%
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Exercise 5
Wersja alternatywna ćwiczenia: The value of the goods decreased by 20%, then it increased by 20%. The value Możliwe odpowiedzi: 1. decreased more than 1% and less than 5%, 2. has not changed, 3. decreased more than 5%, 4. increased more than 1% and less than 5%
Wersja alternatywna ćwiczenia: The value of the goods decreased by 20%, then it increased by 20%. The value Możliwe odpowiedzi: 1. decreased more than 1% and less than 5%, 2. has not changed, 3. decreased more than 5%, 4. increased more than 1% and less than 5%
The value of the goods decreased by 20%, then it increased by 20%. The value
decreased more than 1% and less than 5%
has not changed
decreased more than 5%
increased more than 1% and less than 5%
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Exercise 6
Wersja alternatywna ćwiczenia: The amount of 5000 PLN was deposited in the bank for 5 years. Capitalization of interest takes place every quarter, and the annual interest rate is 4%. After 5 years we get Możliwe odpowiedzi: 1. PLN, 2. PLN, 3. PLN, 4. PLN
Wersja alternatywna ćwiczenia: The amount of 5000 PLN was deposited in the bank for 5 years. Capitalization of interest takes place every quarter, and the annual interest rate is 4%. After 5 years we get Możliwe odpowiedzi: 1. PLN, 2. PLN, 3. PLN, 4. PLN
The amount of 5000 PLN was deposited in the bank for 5 years. Capitalization of interest takes place every quarter, and the annual interest rate is 4%. After 5 years we get
PLN
PLN
PLN
PLN
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Exercise 7
Wersja alternatywna ćwiczenia: The amount of 2000 PLN was deposited in the bank for 3 years. Capitalization of interest takes place every six months, and the annual interest rate is 4%. After 3 years we get Możliwe odpowiedzi: 1. PLN, 2. PLN, 3. PLN, 4. PLN
Wersja alternatywna ćwiczenia: The amount of 2000 PLN was deposited in the bank for 3 years. Capitalization of interest takes place every six months, and the annual interest rate is 4%. After 3 years we get Możliwe odpowiedzi: 1. PLN, 2. PLN, 3. PLN, 4. PLN
The amount of 2000 PLN was deposited in the bank for 3 years. Capitalization of interest takes place every six months, and the annual interest rate is 4%. After 3 years we get
PLN
PLN
PLN
PLN
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Exercise 8
Wersja alternatywna ćwiczenia: The amount of 3000 PLN was deposited in the bank for 6 years. Capitalization of interest takes place every two years, and the annual interest rate is 4%. After 6 years we get Możliwe odpowiedzi: 1. PLN, 2. PLN, 3. PLN, 4. PLN
Wersja alternatywna ćwiczenia: The amount of 3000 PLN was deposited in the bank for 6 years. Capitalization of interest takes place every two years, and the annual interest rate is 4%. After 6 years we get Możliwe odpowiedzi: 1. PLN, 2. PLN, 3. PLN, 4. PLN
The amount of 3000 PLN was deposited in the bank for 6 years. Capitalization of interest takes place every two years, and the annual interest rate is 4%. After 6 years we get
PLN
PLN
PLN
PLN
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Exercise 9
Wersja alternatywna ćwiczenia: The amount of 3000 PLN was deposited in the bank for 6 years. Capitalization of interest takes place every two years, and the annual interest rate is 4%. After 6 years we get the amount of interest Możliwe odpowiedzi: 1. 779,14 PLN, 2. 183,62 PLN, 3. 378,49 PLN, 4. 1760,62 PLN
Wersja alternatywna ćwiczenia: The amount of 3000 PLN was deposited in the bank for 6 years. Capitalization of interest takes place every two years, and the annual interest rate is 4%. After 6 years we get the amount of interest Możliwe odpowiedzi: 1. 779,14 PLN, 2. 183,62 PLN, 3. 378,49 PLN, 4. 1760,62 PLN
The amount of 3000 PLN was deposited in the bank for 6 years. Capitalization of interest takes place every two years, and the annual interest rate is 4%. After 6 years we get the amount of interest
779,14 PLN
183,62 PLN
378,49 PLN
1760,62 PLN
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Exercise 10
Wersja alternatywna ćwiczenia: The first loan installment payment is 800 PLN, which is 12.5% of the loan. What is the amount of the loan? Możliwe odpowiedzi: 1. 6400 PLN, 2. 10000 PLN, 3. 1000 PLN, 4. 640 PLN
Wersja alternatywna ćwiczenia: The first loan installment payment is 800 PLN, which is 12.5% of the loan. What is the amount of the loan? Możliwe odpowiedzi: 1. 6400 PLN, 2. 10000 PLN, 3. 1000 PLN, 4. 640 PLN
The first loan installment payment is 800 PLN, which is 12.5% of the loan. What is the amount of the loan?
6400 PLN
10000 PLN
1000 PLN
640 PLN
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Exercise 11
Wersja alternatywna ćwiczenia: What is the annual interest amount paid on the loan of 6000 PLN at an annual rate of interest of 12%? Możliwe odpowiedzi: 1. 720 PLN, 2. 500 PLN, 3. 50 PLN, 4. 72 PLN
Wersja alternatywna ćwiczenia: What is the annual interest amount paid on the loan of 6000 PLN at an annual rate of interest of 12%? Możliwe odpowiedzi: 1. 720 PLN, 2. 500 PLN, 3. 50 PLN, 4. 72 PLN
What is the annual interest amount paid on the loan of 6000 PLN at an annual rate of interest of 12%?
720 PLN
500 PLN
50 PLN
72 PLN
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Exercise 12
Wersja alternatywna ćwiczenia: What is the 9 month interest amount paid on the loan of 5000 PLN at an annual rate of interest of 14%? Możliwe odpowiedzi: 1. 525 PLN, 2. 52.50 PLN, 3. 630 PLN, 4. 63 PLN
Wersja alternatywna ćwiczenia: What is the 9 month interest amount paid on the loan of 5000 PLN at an annual rate of interest of 14%? Możliwe odpowiedzi: 1. 525 PLN, 2. 52.50 PLN, 3. 630 PLN, 4. 63 PLN
What is the 9 month interest amount paid on the loan of 5000 PLN at an annual rate of interest of 14%?
525 PLN
52.50 PLN
630 PLN
63 PLN
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Exercise 13
Wersja alternatywna ćwiczenia: What is the 3 month interest amount paid on the loan of 6000 PLN at an annual rate of interest of 16%? Możliwe odpowiedzi: 1. 240 PLN, 2. 24 PLN, 3. 1125 PLN, 4. 112,50 PLN
Wersja alternatywna ćwiczenia: What is the 3 month interest amount paid on the loan of 6000 PLN at an annual rate of interest of 16%? Możliwe odpowiedzi: 1. 240 PLN, 2. 24 PLN, 3. 1125 PLN, 4. 112,50 PLN
What is the 3 month interest amount paid on the loan of 6000 PLN at an annual rate of interest of 16%?
240 PLN
24 PLN
1125 PLN
112,50 PLN
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Exercise 14
Wersja alternatywna ćwiczenia: The formula for the interest amount paid on the deposit, where - stands for the value of deposit, - stands for number of years, - stands for number of times that the interest is compounded per year, - stands for the annual interest rate Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Wersja alternatywna ćwiczenia: The formula for the interest amount paid on the deposit, where - stands for the value of deposit, - stands for number of years, - stands for number of times that the interest is compounded per year, - stands for the annual interest rate Możliwe odpowiedzi: 1. , 2. , 3. , 4.
The formula for the interest amount paid on the deposit, where - stands for the value of deposit, - stands for number of years, - stands for number of times that the interest is compounded per year, - stands for the annual interest rate
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Exercise 15
Wersja alternatywna ćwiczenia: The formula for the value of the capital deposit, where - stands for the value of deposit, - stands for number of years, - stands for number of times that the interest is compounded per year, - stands for the annual interest rate Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Wersja alternatywna ćwiczenia: The formula for the value of the capital deposit, where - stands for the value of deposit, - stands for number of years, - stands for number of times that the interest is compounded per year, - stands for the annual interest rate Możliwe odpowiedzi: 1. , 2. , 3. , 4.
The formula for the value of the capital deposit, where - stands for the value of deposit, - stands for number of years, - stands for number of times that the interest is compounded per year, - stands for the annual interest rate
Analyse your correct and incorrect answers to the Exercises.
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Wysłuchaj nagrania abstraktu i zastanów się, czego jeszcze chciałbyś się dowiedzieć w związku z tematem lekcji.
Wysłuchaj nagrania abstraktu i zastanów się, czego jeszcze chciałbyś się dowiedzieć w związku z tematem lekcji.
Exercise 16
2000 PLN was deposit for 2 years capital. Its value increased by 40 PLN. What was the interest rate, if the capitalization of interest took place every six months?
Language Exercises
Exercise 17
Describe the method of solving Exercises 1 and 2.
Exercise 18
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Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. procent - percentage, 2. ułamek zwykły - common fraction, 3. ułamek dziesiętny - decimal fraction, 4. jedna setna - one hundredth, 5. całość - conversion, 6. zamiana - division
Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. procent - percentage, 2. ułamek zwykły - common fraction, 3. ułamek dziesiętny - decimal fraction, 4. jedna setna - one hundredth, 5. całość - conversion, 6. zamiana - division
Indicate which pairs of expressions or words are translated correctly.
procent - percentage
ułamek zwykły - common fraction
ułamek dziesiętny - decimal fraction
jedna setna - one hundredth
całość - conversion
zamiana - division
zadanie
Source: GroMar, licencja: CC BY 3.0.
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Interaktywna gra, polegająca na łączeniu wyrazów w pary w ciągu jednej minuty. Czas zaczyna upływać wraz z rozpoczęciem gry. Jeden ruch to odkrywanie najpierw jednej potem drugiej karty z wyrazem. Każdy wyraz jest odczytywany. Kolejny ruch to odkrywanie trzeciej i czwartej karty. W ten sposób odsłuchasz wszystkie wyrazy. Nawigacja z poziomu klawiatury za pomocą strzałek, odsłuchiwanie wyrazów enterem lub spacją. Znajdź wszystkie pary wyrazów.
Interaktywna gra, polegająca na łączeniu wyrazów w pary w ciągu jednej minuty. Czas zaczyna upływać wraz z rozpoczęciem gry. Jeden ruch to odkrywanie najpierw jednej potem drugiej karty z wyrazem. Każdy wyraz jest odczytywany. Kolejny ruch to odkrywanie trzeciej i czwartej karty. W ten sposób odsłuchasz wszystkie wyrazy. Nawigacja z poziomu klawiatury za pomocą strzałek, odsłuchiwanie wyrazów enterem lub spacją. Znajdź wszystkie pary wyrazów.
Match Polish terms with their English equivalents.
decimal fraction
one hundredth
percentage
jedna setna
ułamek dziesiętny
całość
common fraction
whole
ułamek zwykły
procent
Source: Zespół autorski Politechniki Łódzkiej, licencja: CC BY 3.0.
