3 Fractions

7/28/2019 3 Fractions

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Collection of TIMSS released items based onKBSM Mathematics Curriculum

[Form 1]Fractions

1

1. Two groups of tourists each have 60 people. If4

3of the first group and

3

2of

the second group board buses to travel to a museum, how many more people

in the first group board buses than in the second group?

A. 2

B. 4

C. 5

D. 40

E. 45

Answer Cognitive Domain

C Solving problems

Source:http://timss.bc.edu/timss1995i/items.html
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[Form 1]Fractions

2

2. Write a fraction that is larger than7

2.

Answer: _____________________________________


i. A fraction with numerator greater than 2

and denominator equal to 7ii. A fraction with numerator equal to 2 and

denominator less than 7

iii.8

3

iv.2

1

v. Other correct fraction

Knowing



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[Form 1]Fractions

3

3. Divide:35

8

15

4=

Answer: _____________________________________


i.7

6

ii. Other fractions or decimals equivalent

to7

6

Applying



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[Form 1]Fractions

4

4.

Which circle has approximately the same fraction shaded as that of the

rectangle above?

A. B.

C. D.

E.


D Reasoning



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[Form 1]Fractions

5

5. 8

11

3

8

4

3

A.1522

B.24

43

C.24

91

D.24

115


D Applying



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[Form 1]Fractions

6

6. What is the value of12

1

4

1

3

2 ?

A.15

22

B.24

43

C.24

91

D.24

115


B Applying



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[Form 1]Fractions

7

7. Which number is largest?

A.

5

4

B.4

3

C.8

5

D.10

7


A Analysing



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[Form 1]Fractions

8

8. In which list of fractions are all of the fractions equivalent?

A.

4

3,

8

6,

14

12

B.5

3,7

5,15

9

C.8

3,16

6,32

12

D.10

5,15

10,24

1


C Knowing



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[Form 1]Fractions

9

9. Shade in8

5of the unit squares in the grid.


15 squares are shaded (regardless ofwhich squares)

Solving problems andReasoning



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[Form 1]Fractions

10

10. Luis exercises by running by running 5 km each day. The course he runs is

4

1km long. How many times through the course does he run each day?

Answer: ___________________________


20 Applying/Solving problems



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[Form 1]Fractions

11

11. Janis, Maija, and their mother were eating a cake. Janis ate2

1of the cake.

Maija ate

4

1of the cake. Their mother ate

4

1of the cake. How much of the

cake is left?

A.4

3

B.2

1

C.4

1

D. None


D Applying/Solving problems



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[Form 1]Fractions

12

12.

4

1

3

2

4

3

A.8

1

B.16

5

C.48

17

D.65

E.12

11


E Applying



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[Form 1]Fractions

13

13. Mr. Lewis had $360. He spent9

7of it. How much money did he have left?

Answer: ________________________


80 Applying



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[Form 1]Fractions

14

14. Which picture shows that5

2is equivalent to

10

4?

A.

B.

C.

D.


A Applying and Analysing

Source:http://timss.bc.edu/timss1999i/study.html
http://timss.bc.edu/timss1999i/study.htmlhttp://timss.bc.edu/timss1999i/study.htmlhttp://timss.bc.edu/timss1999i/study.htmlhttp://timss.bc.edu/timss1999i/study.html


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[Form 1]Fractions

15

15. Which of these fractions is smallest?

A.

6

1

B.3

2

C.3

1

D.

2

1


A Applying and Analysing



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[Form 1]Fractions

16

16. What fraction of the circle is shaded?

A. Between 0 and

4

1

B. Between4

1and

2

1

C. Between2

1and

4

3

D. Between

4

3and 1


C Remembering



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[Form 1]Fractions

17

17. Which shows3

2of the square shaded?

A. B. C. D. E.


E Remembering



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[Form 1]Fractions

18

18. Divide: 25

3

55

6

Answer: _________________


11

10

ApplyingOther fractions or decimals equivalent to

11

10(e.g.,

33

30,165

150, .909, .91, etc.)



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[Form 1]Fractions

19

19. What is the value of 15

1

3

1

5

4

A.51

B.5

2

C.15

7

D.43

E.5

4


B Applying



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[Form 1]Fractions

20

20. In which list of fractions are all of the fractions equivalent?

A.

2

1,

4

2,

6

4

B.3

2,6

4,12

8

C.5

2,10

4,50

8

D.4

3,6

4,8

6


B Remembering



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[Form 1]Fractions

21

21. Penny had a bag of marbles. She gave one-third of them to Rebecca, and

then one-fourth of the remaining marbles to John. Penny then had 24 marbles

left in the bag. How many marbles were in the bag to start with?

A. 36

B. 48

C. 60

D. 96


B Analysing and Evaluating



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[Form 1]Fractions

22

22. Shade in8

3of the unit squares in the grid.


9 squares are shaded (regardless of whichsquares)

RememberingOther correct (e.g., 6 full squares and 6 halfsquares shaded or other equivalent of ninesquares)



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[Form 1]Fractions

23

23. Robin and Jim took cherries from a basket. Robin took3

1of the cherries and

Jim took

6

1of the cherries. What fraction of the cherries remained in the

basket?

A.2

1

B.3

1

C.6

1

D.18

1


A Analysing and Evaluating



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[Form 1]Fractions

24

24. Laura had $240. She spent8

5of it. How much money did she have left?

Answer: _________________


90 Analysing and Evaluating



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[Form 1]Fractions

25

25. A book publisher sent 140 copies of a certain book to a bookstore. The

publisher packed the books in two types of boxes. One type of box held 8

copies of the book, and the other type of box held 12 copies of the book. The

boxes were all full, and there were equal numbers of both types of boxes.

a) How many boxes holding 12 books were sent to the bookstore?

Answer: _____________________

b) What fraction of the books sent to the bookstore were packed in thesmaller boxes?

Answer: ____________________


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[Form 1]Fractions

26


a) 7

Analysing and Evaluating

b)

i.5

2

ii. Another fraction or percent

equivalent to5

2(e.g.,

20

8,35

14,70

28,

etc.)

iii. Other correct



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[Form 1]Fractions

27

26. In the figure, how many MORE small squares need to be shaded so that5

4of

the small squares are shaded?

A. 5

B. 4

C. 3

D. 2

E. 1


A Applying

Source:http://timss.bc.edu/timss2003i/released.html
http://timss.bc.edu/timss2003i/released.htmlhttp://timss.bc.edu/timss2003i/released.htmlhttp://timss.bc.edu/timss2003i/released.htmlhttp://timss.bc.edu/timss2003i/released.html


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[Form 1]Fractions

28

27. In a group of children, 16 have birthdays during the first half of the year, and

14 have birthdays during the second half of the year. What fraction of the

group have birthdays during the first half of the year?

A.30

14

B.16

14

C.14

16

D.30

16

E.16

30


D Applying



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[Form 1]Fractions

29

28. Two-thirds of the people present at the beginning of a meeting are men.

Nobody leaves but 10 more men and 10 more women arrive at the meeting.

Which of the following statements is true?

A. There would then be more men than women at the meeting.

B. There would then be the same number of men as there are women at

the meeting.

C. There would then be more women than men at the meeting.

D. From the information given, you cannot tell whether there would be

more women or men.


A Reasoning



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[Form 1]Fractions

30

29.

15

4

10

3

5

3

A.51

3

B.6

1

C.25

6

D.2511

E.25

17


E Applying



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[Form 1]Fractions

31

30. What fraction of an hour passed between 1:10 a.m. and 1:30 a.m.?

A.

5

1

B.3

1

C.2

1

D.3

2

E.4

3


B Applying



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[Form 1]Fractions

32

31. A scoop holds5

1kg of flour. How many scoops of flour are needed to fill a

bag with 6 kg of flour?

Answer: _________________________


30 Applying



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[Form 1]Fractions

33

32. A teacher and a doctor each have 45 books. If5

4of the teachers books and

3

2of the doctors books are novels, how many more novels does the teacher

have than the doctor?

A. 2

B. 3

C. 6

D. 30

E. 36


C Applying



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[Form 1]Fractions

34

33. Write a fraction that is less than9

4.

Answer: _________________________


i. A fraction with numerator smaller than 4and denominator equal to 9, includes

9

3=3

1OR

3

1

ii. A fraction with numerator equal to 4 anddenominator greater than 9, includes

10

4=

5

2OR

5

2

iii.8

3

iv. Other correct fraction

Understanding and Applying



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[Form 1]Fractions

35

34.

Which circle has approximately the same fraction shaded as that of the

rectangle above?

A. B.

C. D.

E.


D Reasoning

Source:http://timss.bc.edu/timss2007/items.html
http://timss.bc.edu/timss2007/items.htmlhttp://timss.bc.edu/timss2007/items.htmlhttp://timss.bc.edu/timss2007/items.htmlhttp://timss.bc.edu/timss2007/items.html


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[Form 1]Fractions

36

35. 8

9

4

5

5

2

A.1716

B.40

41

C.40

81

D.40

111


D Understanding/Applying



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[Form 1]Fractions

37

36. Which of the following number is SMALLEST?

A.

2

1

B.8

5

C.6

5

D.

12

5


D Knowing/Understanding



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[Form 1]Fractions

38

37. Tickets for a concert cost either 10 zeds, 15 zeds, or 30 zeds. Of the 900

tickets sold,5

1cost 30 zeds and

3

2cost 15 zeds each.

What FRACTION of the tickets sold for 10 zeds each?

Answer: ____________________________


15

2or equivalent Applying



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[Form 1]Fractions

39

38. Dana makes a large batch of cranberry bread that is one and a half times the

original recipe. If the original recipe requires4

3cup of sugar, how many cups

of sugar are required for the bread Dana in making?

A.8

3

B. 18

1

C. 14

1

D. 18

3


B Applying



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[Form 1]Fractions

39. Which shows a correct procedure for finding5

1

3

1?

A.51

31 =

3511

B.5

1

3

1=

35

1

C.5

1

3

1=

35

35

D.5

1

3

1=

35

53


D Knowing
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