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TB(1B) Ch. 14 Simple Statistical Diagrams & Graphs (I)

Past Paper Question Bank – Conventional Questions Page 1 of 6

TB(1B) Ch. 14 Simple Statistical Diagrams and Graphs (I)

Conventional Questions

1. [11-12 Final Exam Q8]

35 students participated in a mathematics competition and their scores are shown below.

Score 40 – 44 45 – 49 50 – 54 55 – 59 60 – 64 65 – 69
No. of students 3 7 12 10 2 1

(a) Fill in the following frequency distribution table according to the above data. (2 marks)
Score Class boundaries Class mark Frequency
40 – 44 39 44 5 42
?
.
5 -

45 49 44 5 49 5
I
-

-
.
.

50 -

54 49 .
5 -
54 5 .
12

55
-

59 54 .
5
-

59 5 . 57 10
60 -

64 59 5 .
-
64 .
5 62 2

65-69 64 5 .
-

69 .
5 67 I
Total: 35

(b) Draw a histogram to present the above data. (4 marks)

12-

10-

8 -

6-

4-

I
-

44 525782 of

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TB(1B) Ch. 14 Simple Statistical Diagrams & Graphs (I)
Past Paper Question Bank – Conventional Questions Page 2 of 6

(c) The following stem-and-leaf diagram shows all of the orginal data, suggest a possible
3 4
value for x and y respectively. X (1 mark)
-

y 5 9
= -

The scores of 35 students in a mathematics competition

Boys Girls
Leaf (1) Stem (10) Leaf (1)
9 9 5 5 1 0 0 4 6 7 8
9 9 9 8 8 7 x 5 1 2 3 3 4 4 4
3 2 1 0 5 6 6 7
6 3 3 y

2. [12-13 Final Exam Q8]

The table below shows the driving test scores of 2 groups of drivers with different ages:

Age 18 – 25 Age 26 – 35

44, 51, 46, 38, 93, 70, 75, 52, 50, 61, 61, 55,
62, 62, 60, 55, 49, 32 89, 77, 69, 65, 45, 50

(a) Construct a back-to-back stem-and-leaf diagram to represent these data. (3 marks)

(b) Based on the distribution of the scores, which group of drivers obtains a higher overall
score? Briefly explain your answer. (1 mark)
(c) The drivers whose scores are 70 or above can obtain a driving license. What percentage
of drivers can obtain the license? (2 marks)
Age 18-25
Age 26-35

Leat(1) Stem (10) Leaf (1)

g

i
2

964 5
51 y 325
2206 1159
y T
57
8 9
3 9

(b) 26 35-

(1) 205 %
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TB(1B) Ch. 14 Simple Statistical Diagrams & Graphs (I)
Past Paper Question Bank – Conventional Questions Page 3 of 6

3. [13-14 Final Exam Q11]

The following frequency distribution table shows the daily wages of 50 employees in ABC
company.
(a) Complete the table below. (2 marks)

Wage (HKD) Class boundaries (HKD) Class mark (HKD) Frequency

300-399 299 .
5 -
399 . 5 349 .
5 3
400-499 399 .
5
-

499 .
5 449 .
5 7
500-599 499 .
5
-

599 . 5 549 .
5 11
600-699 599 . 5 -
699 .
5 649 . 5 12
700-799 899 . 5 -
799 . 5 749 .
5 12
800-899 799 .
5 -
899 .
5 849 . 5 5

(b) Draw a histogram to present the above data. (3 marks)

12-

10-

8 -

6-

4-

2-

8 3995449 54g 5549 24g .

5 .
. 5 . 5
dyg 5
.

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TB(1B) Ch. 14 Simple Statistical Diagrams & Graphs (I)
Past Paper Question Bank – Conventional Questions Page 4 of 6

4. [14-15 Final Exam Q3]

The following histogram shows the height of a group of 18-year-old students.
Height of a group of 18-year-old students

Frequency

(a) (i) According to the above histogram, complete the following

Height (cm) frequency distribution
table. (2 marks)
Height (cm) Class boundaries (cm) Class mark (cm) Frequency
150  154 149 5 - 154 5 . .
152 4
155  159 154 5 .
-

159 . 5 157 18
160  164 159 5 .
-

164 5 .
162 30
165  169 164 .
5 -

169 5 .
167 27
170  174 169 . 5 -

174 . 5 172 19
175  179 174 5 .
-
179 . 5 177 2

(ii) Write down the class width. 5 cm (1 mark)

(iii) Chris is a student from the class interval 175cm  179cm. The height of Chris is y cm.
It is known that when y is rounded off to the nearest 0.1, the result is 179.5. Write
down a possible value of y . 179 (1 mark)
5 .

452y/179 .

(b) Amy is one of the students in the group. The following broken-line graph shows her
height from 12 years old to 18 years old. Describe the changes in the height of Amy
from 12 years old to 18 years old. (2 marks)

Height of Amy from 12 years old to 18 years old

Height (cm)

Age
increase from 12-10 ,
unchange from 16-18
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TB(1B) Ch. 14 Simple Statistical Diagrams & Graphs (I)
Past Paper Question Bank – Conventional Questions Page 5 of 6

5. [14-15 Final Exam Q8]

The pie chart shows the favourite colour of a group of students. It is known that the number of
students choosing ‘Green’ is 4 times the number of students choosing ‘Red’.
(a) Find x. 360 (2 marks)
(b) Find the percentage of students choosing ‘Green’ and ‘Yellow’. (2 marks)

70 % Favourite colour of a
group of students

Blue Green
72° 4x
x
Red 108
Yellow

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TB(1B) Ch. 14 Simple Statistical Diagrams & Graphs (I)
Past Paper Question Bank – Conventional Questions Page 6 of 6

6. [15-16 Final Exam, #3]

Figure 1 shows the stem-and-leaf diagram of the exam scores of 30 students in a school.
The exam scores of 30 students in a school
Stem (10) Leaf (1)
4 3 x 3 4
5 0 1 2 6 8
6 2 3 3 5 y 6 9
7 0 2 4 4 5 8 8 9
8 2 4 7 9
9 0 2
Figure 1
(a) If there are 14 students who scored less than 66, write down the values of x and y.
X 3 5 (2 marks)
y
= =
,

(b) (i) Complete the following frequency distribution table according to the data in Figure 1.
(2 marks)
Score Class boundaries Class mark Frequency
40 - 59 39 . 5 -

59 549
.
. 5 9

15
60 - 79 59 . 5
-

79 .
5 69 . 5

80 - 99 79 5 .
-

99 . 5 89 .
5 6

30
Total
(ii)
The above table is used to construct a pie chart of the exam scores of 30 students in the
school as shown in Figure 2. Find a. (2 marks)

720
__________________________________________________________ 40 – 59
__________________________________________________________ 80 – 99
a
__________________________________________________________
__________________________________________________________ 60 – 79
__________________________________________________________
Figure 2

~ End ~

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TB(1B) Ch. 14 Simple Statistical Diagrams and Graphs (I)
GHS Past Paper Question Bank – MC questions Page 1 of 3

TB(1B) Ch. 14 Simple Statistical Diagrams and Graphs (I)

Multiple Choice Questions

1. [11-12 Final Exam Q12]

The following pie chart shows the types of fish a fisherman sold in one day. If a total
of 240 fish are sold, how many salmon did the fisherman sell in one day ?

The types of fish a fisherman sold in one day

Mackerel
60 Sole
Salmon 22.5

45 112.5
Tuna
Cod

A. 33
B. 75
C.
J 80
D. 160

2. [12-13 Final Exam Q13]

The weights of 2 babies Jimmy and Amy are recorded in the following broken line
graph.
The weights of two babies in their first year
Which of the following statements must be
true? 14 Jimmy
Amy
12
I. Their weights are equal in the 12th
month. 10
II. Jimmy is heavier than Amy in the 7th 8
Weight

month.
(kg)

6
III. The weight and the age of each of the
4
two babies have a positive relationship.
2
A. III only B. I and II only
C. II and III only D. I, II and III 0 1 2 3 4 5 6 7 8 9 10 11 12
D
Age (month)

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TB(1B) Ch. 14 Simple Statistical Diagrams and Graphs (I)
GHS Past Paper Question Bank – MC questions Page 2 of 3

3. [12-13 Final Exam Q14]

The following table shows an extract of the distribution of Happy Planet Index (HPI)
of 150 countries.

Class Class
HPI Frequency
boundaries mark
41 – 45 X 43 7
46 – 50 45.5 – 50.5 Y 11

Find the class boundaries X and class mark Y.

X Y
A. 40 – 46 47.5
B.
D 40.5 – 45.5 48
C. 41 – 45.5 48
D. 41 – 45.5 53

4. [13-14 Final Exam]

The stem-and-leaf diagram shows the Mathematics test marks of 25 students in S.1W. The
passing mark is 50. Find the percentage of students who failed the test.

Stem (10
marks) Leaf (1 mark)
2 1 1
3 5 7 8
4 0 0 4 5
5 0 1 1 8
6 1 3 3 3
7 4 8 9
8 1 5
9 2 4 4

A. 20% B. 28%
z
C. 36% D. 64%

5. [14-15 Final Exam]

The stem-and-leaf diagram below shows the distribution of the ages of workers in a company.
Find the number of workers who are not older than the age of 34.

Stem (tens) Leaf (units)

2 0 3 6 6 7
3 1 4 4 7 8 9 9
4 2 5 5 6 6

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TB(1B) Ch. 14 Simple Statistical Diagrams and Graphs (I)
GHS Past Paper Question Bank – MC questions Page 3 of 3

5 4 7
6 3

A. 6 J
B. 8
C. 12 D. 14

6. [14-15 Final Exam]

20 students were interviewed about their time spent on using smart phone and sleeping. The
following scatter diagram shows the data. Which of the following statements are true?

I. There is a negative relationship between the average daily time spent

on using smart phone and sleeping.
II. 5 students sleep more than 8 hours a day.
Average daily time spent by 20 students on
III. The scatter diagram can be used to
estimate the sleeping time of a student using smart phone and their daily sleeping time
who spends 2 hours daily on using
smart phone.

A. I and II only
Sleeping time (h)

B. I and III only

C. II and III only
D. I, II and III
&

7. [15-16 Final Exam, #9] Time spent in using smart phone (h)

Which of the following figures shows a negative relationship between two sets of data?

A. B.

C. I
D.

~ End ~

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TB(1A) Ch. 4 Percentages (I) GHS Past Paper Question Bank – Conventional Questions Page 1 of 3

TB(1A) Ch. 4 Percentages (I)

Conventional Questions

1. [11-12 Mid-year, 9]
A ring has a cost price of $3 000 and a marked price of $x. If it is sold at a discount of 25%,
then it has a profit of 25%. Find
(a) the selling price of the ring. 3758 (2 marks)
(b) the value of x. 5088 (2 marks)
(c) the profit percent if the ring is sold at the marked price. (2 marks)

2. [11-12 Mid-year, 10]

6656
A number of marbles are shared among April, May and June. April gets 30% of the marbles,
May gets twice as many as April gets and June gets the remaining marbles. 0 IX .

(a) If there are totally x marbles, express the number of marbles April, May and June get
in terms of x respectively. 0 3x 8 6X
. (2 marks)
.

(b) If May gives 3 marbles to June, the percentage increase of June’s marbles will be 150%.
Find the value of x. 20 (3 marks)

3. [11-12 Final, 9]
The marked price of a travelling package includes a hotel room rent of $4 000 and an air ticket
of $6 000. In a peak season, the hotel offers a discount of 10% for the room rent, and the price
of the air ticket is increased by 10%. Find
10200
(a) the percentage increase or decrease in the price of the travelling package. (4 marks)
(b) the cost price of the travelling package if the profit percent is 50% in the peak season.
6800 (2 marks)

4. [12-13 Mid-year 8]
The cost price of a laser printer is $4 000. A shop owner marks its price at a profit of 20%.
(a) Find its marked price. 4820 (2 marks)
(b) If it is sold at a discount of $480, find its
(i) selling price. 4328 (2 marks)
(ii) actual loss or profit per cent. 8 % (2 marks)

5. [12-13 Mid-year 10]

In a bridge club, there were 40 and 56 members in the year 2010 and 2011 respectively. The
number of members in 2012 is 25% less than that in 2011.
(a) Find the percentage increase in the number of members from 2010 to 2011. (2 marks)
(b) Find the increase or decrease in the number of members from 2010 to 2012. (3 marks)
(c) Kitty claims that the number of members in 2012 is greater than that in 2010 by 2%. Do
you agree? Explain briefly. (2 marks)

(a)40 %
(b)2
(C) No

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TB(1A) Ch. 4 Percentages (I) GHS Past Paper Question Bank – Conventional Questions Page 2 of 3

6. [12-13 Mid-year 12]

The marked price of an Airport Express ticket is $100. The following table shows the
promotional prices for various group tickets.

Group of 2 Group of 3 Group of 4

Group ticket
passengers passengers passengers
Promotional price ($) 140 180 200

(a) When passengers travel in a group of 4, they can buy tickets with the following choices:
Choice 1: 1 group ticket for 4 at $200
Choice 2: 1 group ticket for 3 at $180 plus 1 ticket at $100
Choice 3: 2 group tickets for 2 at $140  2 choice
Which of the above choices has the largest discount per cent? Explain briefly. (2 marks)
(b) Mr Chan claims that he can get the largest discount of 40% for his family of x people.
How can he get the largest discount per cent? Find a possible value of x. (2 marks)

7. [13-14 Mid-year Exam]

Chloe paid $42 for a book at a student discount of 40%.
(a) Find the marked price of the book. (2 marks)
(b) If the cost of the book is $50, find the profit/loss per cent. (2 marks)

8. [13-14 Mid-year Exam]

$500 is shared among 10 winners of a game originally. By applying a new rule, the number of
winners increases by 150%.
(a) Find the new number of winners. (2 marks)
(b) Find the percentage decrease in the amount each winner can get. (2 marks)

9. [13-14 Mid-year Exam]

Karen bought 10 mobile phones at $x each. She sold 10 mobile phones to Ben at a profit of
10%. Ben then bought 5 cases at $100 each. Later, he sold 5 phones with cases at 20% profit
and the other 5 phones without cases at 10% profit.
(a) (i) Express the amount Ben got for selling a phone without case in terms of x. (1 mark)
(ii) Express the amount Ben got for selling a phone with case in terms of x. (2 marks)
(b) If Ben’s overall profit was $3400, find the value of x . (3 marks)
10. [13-14 S.6 Mock Exam #2]
A fund manager bought 85,000 shares of Stock A at a price of $3.85 per share. He then sold
35,000 shares at a price of $4.25 per share and 20,000 shares at a price of $3.45 per share. The
remaining shares were sold at a price of $3.15 per share. Find the profit or loss per cent on
selling all the shares. (3 marks)

11. [14-15 Standardized Test, 5]

A shop owner Chris bought a toy at $200. Chris sold the toy to Mary at a discount 20% of the
marked price and made a profit of 60%.
(a) Find the selling price of the toy. (2 marks)
(b) Find the marked price of the toy. (2 marks)
(c) Mary later sold the toy at a price equal to 8% of the marked price. Find her loss
percentage. (2 marks)

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TB(1A) Ch. 4 Percentages (I)
>
GHS Past Paper Question Bank – Conventional Questions Page 3 of 3

12. [14-15 Final Exam, 11]

A shop owner bought two watches A and B. The cost price of watch A is $500. Watch A is sold
at a loss of 14%.
(a) Find the selling price of watch A. (2 marks)
(b) The cost price of watch B is 4 times that of watch A. In order to make an overall profit of
30% on selling the two watches, what should the profit per cent of watch B be? (3 marks)

13. [15-16 Final Exam, #4]

The cost price of a handbag is $800. If the marked price is 40% more than the cost price and
the handbag is sold at 10% discount, find
(a) the selling price, and (2 marks)
(b) the profit percentage of selling the handbag. (2 marks)

~ End ~

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TB(1A) Ch. 4 Percentages (I) GHS Past Paper Question Bank – MC questions Page 1 of 3

TB(1A) Ch. 4 Percentages (I)

Multiple Choice Questions

1. [11-12 Mid-year, 9]
A pack of chocolate is sold at a discount of 19% and the discount is $38. Find the
marked price of the pack of chocolate.
A. $62 B. $100
C. $162 D. $200

2. [11-12 Mid-year, 10]

If 30% of a number is 90 less than 45% of the same number, find the number.
A. 100 B. 200
C. 300 D. 600

3. [11-12 Mid-year, 18]

The base and height of a triangle are both 10 cm. If the base is increased by 20% and the height is
decreased by 20%, find the percentage increase/decrease in its area.
A. A decrease of 4%.
B. An increase of 4%.
C. A decrease of 20%.
D. No change.

4. [11-12 Mid-year, 20]

Originally the marked price of a figure is set so that the profit percent would be 50%. During a
promotion period, the figure is sold at a discount of 20%. If the selling price is $780, find the cost
price of the figure.
A. $550 B. $600
C. $650 D. $700

5. [11-12 Final, 10]

In the Hong Kong Chief Executive election, Henry Tang received 285 votes which
1
are 27 % of the total number of votes. Find the total number of votes.
7
A. 77 B. 362
C. 1 050 D. 1 200
6. [12-13 Mid-year 18]
John and his wife earned $100 and $400 respectively yesterday. Then, they spent 50% and 40%
of their money respectively. Find the percentage decrease in their total amount of money.
A. 20% B. 42%
C. 45% D. 58%

7. [12-13 Mid-year 19]

A ball pen marked at $x is sold at a discount of 5%. If its selling price is $(x – 0.3), find the
value of x.
A. 5 B. 5.7 C. 6 D. 30

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TB(1A) Ch. 4 Percentages (I) GHS Past Paper Question Bank – MC questions Page 2 of 3

8. [12-13 Final, 8]
The marked price of a table is $630. What is the selling price if there is a 30% discount?
A. $189 B. $441
C. $900 D. $2100

9. [12-13 Final, 11]

Mary has bought 300 eggs for $350. 40% of the eggs are broken and the rest are sold at $2 each.
What is the overall profit/loss?
A. $10 loss B. $10 profit
C. $110 loss D. $110 profit

10. [13-14 Mid-year Exam]

There are 200 balls in a box. If 40% of them are red and the rest of them are green, find the
number of green balls.
A. 40 B. 80
C. 120 D. 160

11. [13-14 Mid-year Exam]

Angel bought 10 apples at $20. If she wants to make a 20% profit, how much should she get
after selling all apples?
A. $2.4 B. $4
C. $22.4 D. $24

12. [13-14 Mid-year Exam]

If a  1.25b , which of the following is true?
A. a is 25% larger than b .
B. a is 25% smaller than b .
C. b is 25% larger than a .
D. b is 25% smaller than a .

13. [13-14 Mid-year Exam]

There are 200 red and blue pens. Some blue pens are changed to red pens so that the percentage
of red pens is increased from 40% to 60%, find the percentage increase in the number of red
pens.
A. 20% B. 40%
C. 50% D. 100%

14. [13-14 Mid-year Exam]

The profit of a golden ring is 200% if it is sold at its marked price. Find its profit per cent if it
is sold at a 30% discount.
A. 40% B. 60%
C. 110% D. 140%

15. [13-14 Final Exam]

The loss of selling a book is $90. What is the selling price if the loss per cent is 10%?
A. $81 B. $810
C. $900 D. $990

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TB(1A) Ch. 4 Percentages (I) GHS Past Paper Question Bank – MC questions Page 3 of 3

16. [13-14 Final Exam]

The profit of a silver ring is 80% if it is sold at a 20% discount. Find its profit per cent if it is
sold at its marked price.
A. 64% B. 100%
C. 125% D. 400%

17. [14-15 Standardized Test, 3]

The number of members in a fan club has increased by 25% since last year. If there are 1200
members in the fan club this year, find the number of members in the fan club last year.
A. 900
B. 960
C. 1500
D. 1600

18. [14-15 Standardized Test, 9]

Jay sold two toys for $300 each. He made a profit of 20% from one and suffered a loss of 20%
on the other. After these two transactions, Jay had made
A. a loss of $10
B. a loss of $25
C. a profit of $25
D. no profit and no loss.

19. [14-15 Final Exam, 7]

The cost price of a cloth is $200. The marked price is 10% higher than the cost price. If the
shop sells it at 10% discount, Find the selling price.
A. $ 198 B. $ 200
C. $ 201 D. $ 202

20. [15-16 Final Exam, #4]

0.01% =

A. 1. B. 0.01.
C. 0.001. D. 0.0001.

21. [15-16 Final Exam, #5]

1.05  1.01 =

A. 1 (correct to 1 decimal place)

B. 1.0 (correct to 1 decimal place)
C. 1.050 (correct to 3 decimal places)
D. 1.061 (correct to 3 decimal places)

~ End ~

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TB(1A) Ch. 5 Estimation in Numbers & Measurement
GHS Past Paper Question Bank Conventional Questions Page 1 of 2

Estimation in Numbers and Measurement

Conventional Questions
1. [11-12 Mid-year Exam, 3]
(a) Use translation strategy to estimate the value of 8088 11 9 . 9900 (2 marks)
100g
(b) Use a clustered value to estimate the value of 2456 2537 2487 2512 . (2 marks)
© By taking a smaller approximation, estimate whether the result of 8.5 25.1 is greater than
200. Yes (2 marks)

2. [11-12 Mid-year Exam, 4]

Use the above ruler, write down the length of line segment AB
(a) correct to the nearest 0.1 cm. 8 5 .

(1 mark)
(b) correct to the nearest 0.5 cm. 0 7 . (1 mark)

3. [12-13 Mid-year 11]

In a 5-set tennis match, the playtime (in min) of each set is as below:
15.06 45.87 24.12 36.79 20.91
(a) Estimate the total playtime of the match by 140
(i) rounding off the playtime of each set correct to the nearest 5 min first. (3 marks)
(ii) using the compensation strategy. 143 (2 marks)
(b) Which of the two estimation strategies in (a) gives a more accurate estimate? Explain
your
answer briefly. <b) (1 mark)

4. [12-13 Standardized Test 2 Q3]

A lorry can carry a load of 2,000 kg at most. If 5 such lorries need to carry some machines
weighing 24.8 kg each, estimate the number of machines that they can carry. (2 marks)
400
5. [12-13 Final Exam, 7]
The lengths of 6 songs in a CD are 3.8 min, 4.2 min, 4.4 min, 4.9 min, 6.3 min and 6.4 min.
(a) Estimate the total length of the 6 songs by rounding off the length of each song to the
nearest minute first. 29 (2 marks)
(b) Find the percentage increase/decrease of the estimation in (a) when compared to the actual
total length of the 6 songs. decease (2 marks)
(c) Suggest one method to improve the estimation in (a).
(1 mark)
6. [13-14 Standardized Test 2 Q1]
By using the compensation strategy, estimate the value of the expression
2.16 0.78 0.99 2.27 6.83 . (2 marks)
13

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TB(1A) Ch. 5 Estimation in Numbers & Measurement
GHS Past Paper Question Bank Conventional Questions Page 2 of 2

7. [13-14 Final Exam Q4]

In a game of 3 rounds, team A scores 12525, 11545 and 11987 while team B scores 15041,
14931 and 15091.
(a) By using clustered value, estimate the total score of each team to the nearest thousands.
A 3600s
:
B 45 000
:
,

(2 marks)
(b)
estimations in (a), do you agree with Cherry? Explain your answer. (2 marks)
No
8. [14-15 Mid-Year Exam Q10]
After a fund-raising campaign for a charitable organization, the students in Primary 5 have made
donations as follows.
Class 5A 5B 5C 5D 5E
Amount ($) 3240 4210 5909 3060 799

(a) to use clustered value to estimate the total amount of

No (1 mark)
(b) Estimate the total amount of donations by rounding off the amount of each class to the
nearest 100. 17200 (2 marks)
(c) ount of donations is enough to buy medical supplies valued at

Yes (3 marks)

9. [14-15 Mid-Year Exam]

The total weight of 12 lemons is measured to be 2 kg. In each delivery service, a van can
carry at most 500 kg goods. Estimate the maximum number of lemons that the van can
carry in a delivery service. (2 marks)
3008

10. [15-16 Final Exam, #5]

58

Yes

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TB(1A) Ch. 5 Estimation in Numbers & Measurement
GHS Past Paper Question Bank – MC questions Page 1 of 4

Estimation in Numbers and Measurement

Multiple Choice Questions
1. [11-12 Mid-year Exam]
Which of the following MUST be examples of estimation?

I. Length of a pen.
II. Time taken to finish a 100 m race.
III. Number of students in a school.

A. I and II only
B. I and III only
C. II and III only
D. All of the above
2. [11-12 Mid-year Exam]
Paul has $100. He would like to buy four items which cost $26.1, $25.3, $26 and $25.2.
Does he have enough money to buy all the items? What should be the estimated total
amount?

A. Yes, $96. B. Yes, $99.

C. No, $100. D. No, $102.
3. [11-12 Standardized Test 2 Q4]
The following figure shows a swimming pool inside a park. If the swimming pool is 10 m wide
and 20 m long, estimate the area of the park.

Park

20 m
A. 160 m2 B. 800 m2
Swimming Pool 10 m
C. 1600 m2 D. 1800 m2

4. [11-12 Final Exam, 15]

5 students had their lunch in a restaurant and they shared the bill of $462. Which of the following is
the most appropriate estimation strategy to estimate the amount of money each student has to
pay such that there should be enough money to pay the bill?
A. Using a clustered value.
B. Using a larger approximation for the bill.
C. Using a smaller approximation for the bill.
D. Rounding off the price of each item to the nearest $10.

5. [12-13 Mid-year 9]
Use a clustered value to estimate the value of 132 + 127 – 130 + 129.
A. 200 B. 260 C. 261 D. 262

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TB(1A) Ch. 5 Estimation in Numbers & Measurement
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6. [12-13 Mid-year 10]

Miss Lee can type 29 words per minute. If
she has to type 507 words, estimate the time needed.

A. 16 min B. 17 min
C. 18 min D. 19 min

7. [12-13 Mid-year 20]

Which of the following estimation strategies is most appropriate for estimating whether the
result of 54.2 × 20.3 ÷ 9.5 is greater than 90?

A. 50 × 20 ÷ 10
B. 54 × 20 ÷ 9
C. 55 × 20 ÷ 9
D. 55 × 20 ÷ 10

8. [12-13 Standardized Test 2 Q7]

In the following square garden, there is a circular pool and the length of a bench is 1.4 m.

1.4 m

22
Taking   , the circumference of the pool and the area of the garden are about
7

A. 8.8 m and 28 m2 respectively.

B. 8.8 m and 49 m2 respectively.
C. 10 m and 28 m2 respectively.
D. 10 m and 49 m2 respectively.

9. [12-13 Final Exam, 3]

Which of the following is an appropriate unit for the area of a basketball court?

A. mm2 B. cm2
C. m2 D. km2

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TB(1A) Ch. 5 Estimation in Numbers & Measurement
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10. [13-14 Standardized Test 2 Q6]

Which of the following expressions is the most appropriate estimation of the value of the
expression 8.88  0.32  5.52  0.46 ?

A. 9 1 6  0
B. 93 5 0
C. 9  0  6  (0.52  0.46)
D. 9  3  5  (0.52  0.46)

11. [13-14 Final Exam]

Which of the following expression must be a larger approximation of 3.9  0.52  1.3 ?

A. 4  0.5  1 B. 4  0.5  1.5

C. 4  0.6  1 D. 4  0.6  1.5

12. [14-15 Mid-Year Exam]

The figure shows a door. The dimensions of the window on the door is 0.45 m  0.3 m.
0.45 m

Window 0.3 m

The perimeter of the door and the area of the door are about
A. 3.6 m and 0.54 m2 respectively.
B. 3.6 m and 0.81 m2 respectively.
C. 9 m and 0.54 m2 respectively.
D. 9 m and 0.81 m2 respectively.

13. [14-15 Mid-Year Exam]

Which of the following estimation methods is the most appropriate to use with the translation
strategy to estimate the value of 15.1 0.67  4.97 ?

A. Rounding off
B. Compatible numbers
C. Clustered value
D. Smaller approximation

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TB(1A) Ch. 5 Estimation in Numbers & Measurement
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14. [14-15 Mid-Year Exam]

Which of the following value(s) cannot be measured by the ruler with a scale interval of 1 cm?
I. 1.2 cm
II. 2.5 cm
III. 12 cm

A. I and II only
B. I and III only
C. II and III only
D. I, II and III

15. [14-15 Final Exam #14]

Which of the following is the most accurate estimation of the volume of the cuboid?

2.33 cm

3.48 cm
6.12 cm

A. 36 cm3 B. 42 cm3
C. 49 cm3 D. 53 cm3

~ End ~

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