4 decimals

Collection of TIMSS released items based on KBSM Mathematics Curriculum

[Form 1] Decimals

1

1. In a discus-throwing competition, the winning throw was 61.60 m. The

second-place throw was 59.72 m. How much longer was the winning throw

than the second-place throw?

A. 1.18 m

B. 1.88 m

C. 1.98 m

D. 2.18 m

Source: http://timss.bc.edu/timss1995i/items.html

http://timss.bc.edu/timss1995i/items.html


[Form 1] Decimals

2

2. Divide: 0.004 24.56

A. 0.614

B. 6.14

C. 61.4

D. 614

E. 6140




[Form 1] Decimals

3

3. A chemist mixes 3.75 milliliters of solution A with 5.625 milliliters of solution B

to form a new solution. How many milliliters does this new solution contain?

Answer: ________________________________




[Form 1] Decimals

4

4. Which number is five hundred four and seven-tenths?

A. 54.7

B. 504.7

C. 547

D. 5004.7




[Form 1] Decimals

5

5. A rubber ball rebounds to half the height it drops. If the ball is dropped from a

rooftop 18 m above the ground, what is the total distance travelled by the time

it hits the ground the third time?

A. 31.5 m

B. 40.5 m

C. 45 m

D. 63 m




[Form 1] Decimals

6

6. Multiply: 0.203 × 0.56 =

Answer: _______________________________




[Form 1] Decimals

7

7. A car has a fuel tank that holds 35 L of fuel. The car consumes 7.5 L of fuel

for each 100 km driven. A trip of 250 km was started with a full tank of fuel.

How much fuel remained in the tank at the end of the trip?

A. 16.25 L

B. 17.65 L

C. 18.75 L

D. 23.75 L




[Form 1] Decimals

8

8. Which of these is 89.0638 rounded to the nearest hundredth?

A. 100

B. 90

C. 89.1

D. 89.06

E. 89.064

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

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


[Form 1] Decimals

9

9. Write 0.28 as a fraction reduced to its lowest terms.

Answer: ________________________________




[Form 1] Decimals

10

10. Which list shows the numbers from smallest to largest?

A. 0.345, 0.19, 0.8, 5

1

B. 0.19, 5

1, 0.345, 0.8

C. 0.8, 0.19, 5

1, 0.345

D. 5

1, 0.8, 0.345, 0.19




[Form 1] Decimals

11

11. Subtract: 2.201 0.753 =

A. 1.448

B. 1.458

C. 1.548

D. 1.558




[Form 1] Decimals

12

12. A stack of 200 identical sheets of paper is 2.5 cm thick. What is the thickness

of one sheet of paper?

A. 0.008 cm

B. 0.0125 cm

C. 0.05 cm

D. 0.08 cm




[Form 1] Decimals

13

13. Which of these is the smallest number?

A. 0.625

B. 0.25

C. 0.375

D. 0.5

E. 0.125




[Form 1] Decimals

14

14.

What is the best estimate of the number corresponding to P?

A. 1.1

B. 1.2

C. 1.4

D. 1.5


0 1 2 3

P

●



[Form 1] Decimals

15

15. Which of these numbers is between 0.07 and 0.08?

A. 0.00075

B. 0.0075

C. 0.075

D. 0.75




[Form 1] Decimals

16

16. Divide: 0.003 15.45

A. 0.515

B. 5.15

C. 51.5

D. 515

E. 5150




[Form 1] Decimals

17

17. Which number is two hundred six and nine-tenths?

A. 206.09

B. 206.9

C. 206.910

D. 2006.9




[Form 1] Decimals

18

18. A painter had 25 L of paint. He used 2.5 L of paint every hour. He finished the

job in 5.5 hours. How much paint did he have left?

A. 10.25 L

B. 11.25 L

C. 12.75 L

D. 13.75 L




[Form 1] Decimals

19

19. Write 0.48 as a fraction reduced to its lowest terms.

Answer: _____________________________




[Form 1] Decimals

20

20. Subtract: 4.722 – 1.935 =

A. 2.787

B. 2.797

C. 2.887

D. 2.897




[Form 1] Decimals

21

21. A sheet of paper is 0.012 cm thick. Of the following, which would be the height

of a stack of 400 sheets of this paper?

A. 0.048 cm

B. 0.48 cm

C. 4.8 cm

D. 48 cm




[Form 1] Decimals

22

22. Chris plans to order 24 issues of a magazine. He reads the following

advertisements for two magazines. Ceds are the units of currency in Chris’

country.

Which magazine is the least expensive for 24 issues? How much less

expensive?

Show your work.


Teen Life

Magazine

24 issues

First four issues FREE

The rest

3 ceds each

Teen News

Magazine

24 issues

First six issues FREE

The rest

3.5 ceds each



[Form 1] Decimals

23

23. In which of these pairs of numbers is 2.25 larger than the first number but

smaller than the second number?

A. 1 and 2

B. 2 and 2

5

C. 2

5 and

4

11

D. 4

11 and 3

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

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


[Form 1] Decimals

24

24. In which list are the numbers ordered from greatest to least?

A. 0.233, 0.3, 0.32, 0.332

B. 0.3, 0.32, 0.332, 0.233

C. 0.32, 0.233, 0.332, 0.3

D. 0.332, 0.32, 0.3, 0.233




[Form 1] Decimals

25

25. Which of the following is 78.2437 rounded to the nearest hundredth?

A. 100

B. 80

C. 78.2

D. 78.24

E. 78.244




[Form 1] Decimals

26

26. Alice ran a race in 49.86 seconds. Betty ran the same race in 52.30 seconds.

How much longer did it take Betty to run the race than Alice?

A. 2.44 seconds

B. 2.54 seconds

C. 3.56 seconds

D. 3.76 seconds




[Form 1] Decimals

27

27. A car has a fuel tank that holds 45 L of fuel. The car consumes 8.5 L of fuel

for each 100 km driven. A trip of 350 km was started with a full tank of fuel.

How much remained in the tank at the end of the trip?

A. 15.25 L

B. 16.25 L

C. 24.75 L

D. 29.75 L




[Form 1] Decimals

28

28. John and Cathy were told to divide a number by 100. By mistake John

multiplied the number by 100 and obtained an answer of 450. Cathy correctly

divided the number by 100. What was her answer?

A. 0.0045

B. 0.045

C. 0.45

D. 4.5




[Form 1] Decimals

29

29. Which of these numbers is closest to 10?

A. 0.10

B. 9.99

C. 10.10

D. 10.90




[Form 1] Decimals

30

30. A gardener mixes 4.45 kilograms of rye grass seed with 2.735 kilograms of

clover seed to make a mix for sowing a lawn area. How many kilograms of the

lawn mix does he now have?

Answer: ________________________________

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

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


[Form 1] Decimals

31

31. What is the value of 3.4 × 102?

A. 3.4

B. 34

C. 340

D. 3400




[Form 1] Decimals

32

32. Multiply: 0.402 × 0.53 =

Answer: ____________________________




[Form 1] Decimals

33

Answers:

1. B

2. E

3. Accurate answer: 9.375

Acceptable answer: Other responses equivalent to 9.375

4. E

5. C

6. 0.11368

7. A

8. D

9. 25

7

10. B

11. A

12. B

13. E

14. B

15. C

16. E

17. B

18. B

19. 25

12

20. A

21. C

22. Correct response:

i. Teen Life. Calculations of both magazines are correct (60 ceds for

Teen Life and 63 ceds for Teen News) and correct savings of 3 ceds.

ii. Other correct (e.g., Teen Life. Calculation of one magazine correct, the

other not shown, and correct savings of 3 ceds).

Partial response:

i. Correct calculations (60 and 63 ceds), but incorrect or no magazine

identified and/or no difference given.


[Form 1] Decimals

34

ii. Correct calculation for Teen News (63 ceds), but incorrect calculation

for Teen Life.

iii. Incorrect calculation for Teen News but correct calculation for Teen

Life (60 ceds).

iv. Teen Life, 3 ceds. No work shown.

v. Other partially correct response (e.g., correct calculations but incorrect

difference).

23. B

24. D

25. D

26. A

27. A

28. B

29. B


i. 7.185

ii. Other responses equivalent to 7.185

31. C


i. 0.21306

ii. 0.21306 is shown as part of student’s work and then rounded either

correctly or incorrectly.

4 decimals

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Transcript of 4 decimals