Unit 3 - Fractions + Decimals (con fallos)

8/3/2019 Unit 3 - Fractions + Decimals (con fallos)

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Colegio Nuestra Señora del Prado (Ciudad Real) 2 ESO Matemáticas

UNIT 3 FRACTIONS AND DECIMALS

A) FRACTIONS

The first seven exercises have been generated using the online software +G3NI. For additional

information about the application, please go to:

http://www.xtec.cat/iesterresdeponent/geni/castella/portada.html

1. Calculate and simplify































8. Find the LCM for the following numbers:

a) 10, 3 30 b) 14, 6 42 c) 15, 6 30 d) 10, 4, 18 180

e) 27, 18 54 f) 4, 30 60 g) 24, 32 96 h) 30, 25, 10 150

i) 15, 20 60 j) 35, 25 175 k) 24, 36 72 l) 28, 14, 21 84

9. Write down the following quantities:

a) Half of 12 6 b) Quarter of 24 6 c) Third of 30 10

d) 1/4 of 44 11 e) 3/4 of 60 45 f) 2/3 of 6 4

10. De un trozo de cuerda se cortan 2/3 y 3/10. ¿Qué trozo es más largo? 2/3

11. Una carrera está dividida en tres etapas. La primera supone los 4/9 del total, y la segunda los 3/9.

a) ¿Cuánto se ha recorrido al finalizar la segunda etapa? 7/9

b) ¿Qué parte del total supone la tercera parte? 2/9

12. Meli ha gastado la mitad de los 3/5 de su dinero en un libro. ¿Qué fracción del total gastó? 3/10

13. La mitad de un premio se reparte en 4 partes iguales. ¿Qué fracción del total representa cada una

de ellas? 1/8

14. Para hacer un disfraz se necesita 1/36 de una pieza de tela. Después de hacer 20 disfraces aún

quedan en la pieza 32 metros de tela.

a) ¿Qué fracción del total representan los metros que quedan? 4/9

b) ¿Qué longitud tenía la pieza? 72 metros

15. Farmer Paddy in Dublin has a 1,200 square meters farm, of which 720 square meters are for corn.

What fraction is this? 3/5

16. A family spends 1/4 of their money to rent the flat they live in, 1/8 in food and 1/12 in thetelephone bill. Which fraction of their income can they save? 13/24

17. Andy and Laura have planted some trees. The third part of them are orange trees, and 2/9 of them

are lemon trees. If orange and lemon trees add 10 trees, how many trees were planted in total? 18

18. If I pay my phone bill within 7 days, I get a reduction of an eight of the price. If my bill is 120

euros, how much can I save? 15 eu

19. Three friends have found 2400 euros. Fred gets one sixth, Greg gets a fifth of the remainder and

Hilary gets what is left. How much money are each of them paid? F 400 G 400 H 1600




20. Calculate the value of the following combined operations:

a) . (

)+ (

) : ( )

b) ( )-

.

c) : (

) + ( )

d) (): ()

- :

e) - (

)

f) () ()

- √

g) 3 + : (

)

h) . +

: ( )

i) + (

).

j) :

- (

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k) + (

).

l) ( )

– (

) :

m) – + (

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- 1

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B) DECIMALS

21. Write how these numbers are read:

a) 0.42 b) 0.016 c) 5.3 d) 1.05 e) 12.408 f) 7.805 g) 20.11

22. Write the following numbers:

a) Twenty-five hundredths b) Twenty ones and five hundred and thirteen thousandths

c) Forty-two thousandths d) Two ones and ninety-three thousandths

e) Three ones and nine hundredths f) Ten ones and three thousandths

g) One hundred and four tenths h) Eleven ones and one thousandth

23. Connect each amount with its equivalent expressed in digits.

24. Use arrows to connect the numbers with their values.




25. Align the numbers, calculate and write down your answers.

a) 15.84 + 4.7 + 0.628 = 21.168 b) 23.84 – 5,726 = 18.114 c) 12 + 3.35 + 0.4 = 15.75

d) 8 – 3.275 = 4.725 e) 5.6 + 2.04 + 0.258 = 7.898 f) 8.92 – 3.594 = 5.326

g) 6.4 + 0.82 + 1.035 = 8.255 h) 48.5 – 6.87 = 41.63 i) 1.3 – 0.275 = 1.025

j) 5.24 – 0.058 + 1.702 = 7 k) 18.24 + 5.7 + 3.528 = 27.468 l) 12 – 2.635 = 9.365

26. Esther has five euros and bought a book that costs three euros and eighty-five cents. How much

money has she got left? 1.15 euros.

27. Fran buys a melon that weighs one and a half kilos at the market. He also buys a loaf of bread

that weighs four hundred and fifty grams and a pineapple with a weight of 1.235 kg. Calculate the

total weight of his purchases. 3.185 kg.

28. Evaluate the following operations.

a) 5.38 x 12 = 64.56 b) 6.27 x 5.2 = 32.604 c) 5.7 x 8 = 45.6

d) 2.45 x 13 = 31.85 e) 6.03 x 2.05 = 15.075 f) 4.6 x 3 = 13.8

g) 0.7 x 0.3 = 0.21 h) 2.4 x 5 = 12 i) 5.2 x 1.6 = 8.32

j) 3.48 x 0.3 = 1.044 k) 1.28 x 0.25 = 0.32 l) 0.11 x 0.11 = 0.0121

29. How much do 4 cinema tickets cost if each ticket costs 3.35 euros? 13.40 euros

30. Calculate the exact quotient.

a) 38 : 5 = 7.6 b) 5 : 8 = 0.625 c) 12 : 5 = 2.4

d) 12 : 15 = 0.8 e) 15 : 30 = 0.5 f) 14 : 25 = 0.56


a) 7.48 : 4 = 1.87 b) 17.28 : 24 = 0.72 c) 35.52 : 6 = 5.92

d) 16.8 : 2 = 8.4 e) 33.5 : 5 = 6.7 f) 50.8 : 8 = 6.35

32. Calculate each quotient to two decimal places.

a) 14.8 : 7 = 2.11 b) 24.58 : 4 = 6.14 c) 56.7 : 12 = 4.72

d) 184.26 : 15 = 12.28 e) 8.2 : 11 = 0.74 f) 11.4 : 15 = 0.76





a) 5.98 : 2.6 = 2.3 b) 2.1 : 1.68 = 1.25 c) 6 : 0.016 = 375

d) 60 : 0.5 = 12 e) 7 : 1.4 = 5 f) 3.6 : 1.5 = 2.4

34. Calculate each quotient to one decimal place:

a) 1.62 : 0,3 = 5.4 b) 4.2 : 0.06 = 70 c) 0.336 : 0.835 = 0.4

d) 2.678 : 1.11 = 2.4 e) 4.86 : 24.3 = 0.2 f) 3.96 : 2.475 = 1.6

35. Matías goes forward 0.8 metres with each step he takes. How many steps does he take if he

covers a distance of 48 metres? 60 steps

36. Elena can buy one water melon that weighs 2.5 kg with 3.25 euros. Calculate the cost of one kilo.

1.3 euros

37. A can of Coke contains 0.33 litres. How many litres are needed to fill 100 cans? 33 litres.

38. Ricardo stops in a petrol station and fills his car up with petrol. How many euros does he need to

pay if the pump register says he has used 42.6 litres of petrol and each litre costs 95 cents? 40.47 eu.

39. A box of 100 pairs of gloves costs 30 euros. How much does one pair cost? 0.30 euros.

40. Pablo weighs 72.4 kilos and goes on a diet intending to lose 1.250 kilos every month. How much

does she hope to weigh in six months? 64.9 kilos.

Documents

Unit 3 - Fractions + Decimals (con fallos)