1 Whole+Numbers

Collection of TIMSS released items based on KBSM Mathematics Curriculum

[Form 1] Whole Numbers

1

1. Prabhu had $5 to buy milk, bread, and eggs. When he got to the shop he

found that the prices were those shown below:

At which of these times would it make sense to use estimates rather than

exact numbers?

A. When Prabhu tried to decide whether $5 was enough money

B. When the clerk entered each amount into the cash register

C. When Prabhu was told how much he owed

D. When the clerk counted Prabhu’s change

Answer Cognitive Domain

A Knowing

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

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



2

2.

José is 1.5 m tall. About how tall is the tree?

A. 4 m

B. 6 m

C. 8 m

D. 10 m


B Applying





3

3. A newspaper reported that about 18 200 trees had been planted in the park.

The number was rounded to the nearest hundred. Which of these could have

been the actual number of trees planted?

A. 18 043

B. 18 189

C. 18 289

D. 18 328


B Understanding





4

4. Mark’s garden has 84 rows of cabbages. There are 57 cabbages in each row.

Which of these gives the BEST way to estimate how many cabbages there

are altogether?

A. 100 × 50 = 5000

B. 90 × 60 = 5400

C. 80 × 60 = 4800

D. 80 × 50 = 4000


C Applying/Reasoning





5

5. A group of students has a total of 29 pencils and everyone has at least one

pencil. Six students have 1 pencil each, 5 students have 3, and the rest have

2. How many students have only 2 pencils?

A. 4

B. 6

C. 8

D. 9


A Solving problems





6

6. Subtract:

6000

2369

A. 4369

B. 3742

C. 3631

D. 3531


C Applying





7

7. Theresa wants to record 5 songs on tape. The length of time each song plays

for is shown in the table.

Song Amount of Time

1 2 minutes 41 seconds



4 3 minutes


ESTIMATE to the nearest minute the total time taken for all five songs to play

and explain how this estimate was made.

Estimate: ___________________

Explain:



8

Answer [for “Estimate”] Cognitive Domain

Correct response:

i. 15 minutes

ii. 16 minutes

(Note: There is no distinction made between responses with and without units.)

Solving problems

Answer [for “Explain”] Cognitive Domain

Correct response:

i. Each amount of time is correctly rounded to whole minutes Example: 3+3+3+3+4 OR 3+3+3+3+3

ii. Each amount of time is correctly rounded to nearest 5, 10, 15, or 30 seconds.

iii. No calculation shown. Statements may include “rounded off to nearest minute”, “rounded the numbers up and down” or similar expressions.

iv. Adds correctly and then rounds off from 15 min. 14 sec.

v. Other correct response.

Solving problems and Reasoning





9

8. The sum 691 + 208 is closest to the sum

A. 600 + 200

B. 700 + 200

C. 700 + 300

D. 900 + 200


B Applying and Analysing

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

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



10

9. Rounded to the nearest 10 kg the weight of a dolphin was reported as 170 kg.

Write down a weight that might have been the actual weight of the dolphin.

Answer: ________________________________


Correct response:

i. Number within the interval

165 X < 170

ii. 170

iii. Number within the interval

170 < X 175

iv. Two or more numbers within the interval

165 X 175 Examples: 165 to 169 168 or 171

Solving problems and Reasoning





11

10. A company produced 17 175 cars in 1996. For a report, this number was

rounded to the nearest hundred. Which was the number of cars given in the

report?

A. 17 000

B. 17 100

C. 17 200

D. 17 270


C Applying





12

11. Subtract:

7003

– 4078_

A. 2035

B. 2925

C. 3005

D. 3925


B Applying





13

12. John sold 60 magazines and Mark sold 80 magazines. The magazines were

all sold for the same price. The total amount of money received for the

magazines was $700. How much money did Mark receive?

Answer: _____________________


400 Analysing and Evaluating





14

13. The height of a boy was reported as 140 cm. The height had been rounded to

the nearest 10 cm. What are two possibilities for the boy’s actual height?

Answer: ______________________ cm and ______________________ cm


One answer is 140 and the other answer is in an acceptable range, 135 ≤ x < 140 or 140 < x < 145.

Applying and Analysing Neither answer is 140 cm but both are in the acceptable range135 ≤ x < 140 and/or 140 < x < 145.





15

14. The length of a box is 9 cm to the nearest centimeters. Which of these could

be the actual length of the box?

A. 10

B. 9.9

C. 9.6

D. 8.6


D Knowing

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

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



16

15.

What is the length of the pipe being measured?

A. 0.085 m

B. 0.805 m

C. 0.85 m

D. 8.5 m


C Applying





17

16. The teachers at Parkway School plan to send 6 newsletters per year to each

of the 620 families with children at the school. The newsletters each need 2

sheets of paper. The paper is sold in packs of 500 sheets.

What is the least number of packs of paper needed to print the school

newsletter for the year?

Answer: _____________________


15 Solving problems





18

17. A garden has 14 rows. Each row has 20 plants. The gardener then plants 6

more rows with 20 plants in each row.

How many plants are now there altogether?

Answer: _____________________


400 or equivalent Solving problems





19

18. Which of these is equal to 370 × 998 + 370 × 2?

A. 370 × 1000

B. 372 × 998

C. 740 × 998

D. 370 × 998 × 2


A Applying





20

19.

The four digits above are to be arranged from largest to smallest to form a

four-digit number. The same four digits are then are to be arranged from

smallest to largest to form another four-digit number. What is the difference

between the two resulting four-digit numbers?

A. 3726

B. 4726

C. 8082

D. 8182

E. 8192


C Applying


9 1 4 5




21

20. What number divided by 6 gives 12 as the result?

A. 72

B. 2

C. 2

D. 72


A Knowing

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

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



22

21. Katy made a table to keep track of how long it took water in a beaker to cool

from 95oC to 70oC. She measured the time it took the water to cool in 5oC

intervals.

Interval Readings Amount of Cooling Time

95oC – 90oC 2 minutes 10 seconds





Estimate to the nearest minute the total time taken for the temperature of the

water in the beaker to cool from 95oC to 70oC, and explain how you estimate

was made.

Estimate: ______________________

Explain:



23


Accurate answer:

i. 27 minutes, each amount of time is

correctly rounded to whole minutes

before adding (e.g., 2 + 3 + 5 + 7 + 10)

ii. 27 minutes, each amount of time is

correctly rounded to the nearest 5, 10,

15, or 30 seconds

iii. 27 minutes, add minutes to equal 24

and uses some approach to estimate

seconds to 3 minutes

iv. 27 minutes, adds correctly and then

rounds off from 26 minutes 55 seconds

v. 27 minutes. No calculation shown.

Statements might include “rounded off

to the nearest minute”, “rounded the

numbers up and down” or similar

expressions

vi. Other fully correct.

Acceptable answer ( Partial response):

i. Method includes each amount of time

correctly rounded to whole minutes

before adding but answer is incorrect

ii. Method includes each amount of time

correctly rounded to the nearest 5, 10,

15 or 30 seconds but answer is

incorrect

iii. Other partially correct including 27

minutes with no explanation or method

shown

Applying and Reasoning





24

22. Which group of numbers is ordered from LARGEST to SMALLEST?

A. 10,011; 10,110; 11,001; 11,100

B. 10,110; 10,011; 11,100; 11,001

C. 11,001; 11,100; 10,110; 10,011

D. 11,100; 11,001; 10,110; 10,011


D Knowing





25

23. Which numbers below is ten million twenty thousand thirty?

A. 102,030

B. 10,020,030

C. 10,200,030

D. 102,000,030


B Knowing



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1 Whole+Numbers