4 decimals
TRANSCRIPT
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
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[Form 1] Decimals
2
2. Divide: 0.004 24.56
A. 0.614
B. 6.14
C. 61.4
D. 614
E. 6140
Source: http://timss.bc.edu/timss1995i/items.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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: ________________________________
Source: http://timss.bc.edu/timss1995i/items.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss1995i/items.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss1995i/items.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[Form 1] Decimals
6
6. Multiply: 0.203 × 0.56 =
Answer: _______________________________
Source: http://timss.bc.edu/timss1995i/items.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss1995i/items.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[Form 1] Decimals
9
9. Write 0.28 as a fraction reduced to its lowest terms.
Answer: ________________________________
Source: http://timss.bc.edu/timss1995i/items.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss1995i/items.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[Form 1] Decimals
11
11. Subtract: 2.201 0.753 =
A. 1.448
B. 1.458
C. 1.548
D. 1.558
Source: http://timss.bc.edu/timss1995i/items.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss1995i/items.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss1999i/study.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss1999i/study.html
0 1 2 3
P
●
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss1999i/study.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[Form 1] Decimals
16
16. Divide: 0.003 15.45
A. 0.515
B. 5.15
C. 51.5
D. 515
E. 5150
Source: http://timss.bc.edu/timss1999i/study.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss1999i/study.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss1999i/study.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[Form 1] Decimals
19
19. Write 0.48 as a fraction reduced to its lowest terms.
Answer: _____________________________
Source: http://timss.bc.edu/timss1999i/study.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[Form 1] Decimals
20
20. Subtract: 4.722 – 1.935 =
A. 2.787
B. 2.797
C. 2.887
D. 2.897
Source: http://timss.bc.edu/timss1999i/study.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss1999i/study.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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.
Source: http://timss.bc.edu/timss1999i/study.html
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
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss2003i/released.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss2003i/released.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss2003i/released.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss2003i/released.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss2003i/released.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Source: http://timss.bc.edu/timss2003i/released.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[Form 1] Decimals
31
31. What is the value of 3.4 × 102?
A. 3.4
B. 34
C. 340
D. 3400
Source: http://timss.bc.edu/timss2007/items.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[Form 1] Decimals
32
32. Multiply: 0.402 × 0.53 =
Answer: ____________________________
Source: http://timss.bc.edu/timss2007/items.html
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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.
Collection of TIMSS released items based on KBSM Mathematics Curriculum
[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
30. Correct response:
i. 7.185
ii. Other responses equivalent to 7.185
31. C
32. Correct response:
i. 0.21306
ii. 0.21306 is shown as part of student’s work and then rounded either
correctly or incorrectly.