The Soft Copy of the Questions Is Available on Teacher S Website

Term Exam Paper Kit

Introduction

Mathematics in Action (Second Edition) –Term Exam Paper Kitiswritten in accordance with each volume (1A, 1B, 2A, 2B, 3A and 3B) of the Mathematics in Action (Second Edition) series. It is specially designed to help teachers prepare term examination papers.

This Term Exam Paper Kitconsists of two examination papers - Paper 1 and Paper 2. The details are as follows:

No. of questions / No. of Extra questions provided / Suggested
solutions / Marking scheme
Paper 1 / Section A
Short questions / 10 / – / 
(numerical answers only)
Section B
Long questions / 10 / 10 /  / 
Section C
Harder long questions / 3 / – /  / 
Paper 2 / Multiple choice questions* / 40 / 10 / 

Extra questions for both Paper 1 and Paper 2 are provided for greater flexibility. In addition, corresponding extra questions for Section B and C can help teachers develop their own examination papers easily. Suggested solutions and Marking scheme are provided for all of the questions in Section B and C.

The soft copy of the questions is available on teacher’s website.

F. 2 First Term Examination

Mathematics (Paper 1)

Name: Class: No.:

Time Allowed:75minutes

This paper consists of 3 sections. Write your answers in the spaces provided.

Total Marks: 100

Section A(20 marks)

Answer ALL questions in this section. Each question carries 2 marks.

Working steps are NOT required in this section.

1.It is given that a : b = 3 : 2 and a : c = 6 : 1. Find the ratio

a : b : c.______

2.If a length of 5 cm on the map represents an actual
distance of 4 km, express the scale of the map in the
form 1 : n.______

3.Expand______

4.Factorize______

5.Simplify.______

6.Factorize.______

7.In 2009, the population of Town A was 1 132 000,
correct to the nearest 500. Find the percentage error
of this number, correct to 3 significant figures.______

8.In the figure,△ABC and△ADE are two equilateral
triangles. Find∠CDE.

______

9.In the figure, find x + y + z.

______

10.The diagram below shows the sales ofa certain brand of toilet roll in 2009 and 2010.

(a)What is the ratio of the sales of toilet roll
in 2009 and 2010?______

(b)Does the diagram mislead readers?______

Section B(50 marks)

Answer ALL questions in this section. Each question carries 5 marks.

Working steps MUST be shown in answering questions in this section.

11.ABC oats are sold in packets of different sizes as shown in the figure.

(a)By comparing the price of each gram of oats, which package is more economical to customers? Explain briefly.

(b)The manufacturer decides to change the price of the ‘Large Packet’ so thatboth the packets are equally economical to customers. Find the newprice of each ‘Large Packet’.

12.In a glass of lemon tea of volume 350 mL, the ratio of lemon juice to tea is 2 : 5.

(a)Find the volume of the lemon juice.

(b)If 50 mL of lemon juice is added to the lemon tea, find the new ratio of lemon juice to tea in the glass.

13.Ifwhere A, B and C are constants. Find the values of A, B and C.

14.Consider the formula

(a)Make y the subject of the formula.

(b)Find the value of y when.

15.(a)Factorize (3x + 7y)2 (3x 7y)2.

(b)Hence, or otherwise, simplify

16.(a)Factorize

(b)Simplify

17.The length and width of a school hall are measured to be 24.0 m and 14.5 m respectively, correct to the nearest 0.5 m.

(a)Find the maximum absolute error of the measurements.

(b)Find the upper limits of the actual length and width of the hall.

(c)Find the maximum area of the hall, correct to 3 significant figures.

18.In the figure, AEC, BED and BCF are straight lines. BA = BC. Find the values of x and y.

19.In the figure, ADE and BCE are straight lines.

(a)Find∠BAC.

(b)Is△ABC an equilateral triangle? Explain your answer.

20.The following frequency polygon shows the time that S2A students spent on completing their art model.

The table below shows the time spent by S2B students.

Class mark (min) / 79.5 / 89.5 / 99.5 / 109.5 / 119.5
Frequency / 4 / 8 / 10 / 5 / 13

(a)On the above figure, draw a frequency polygon to present the data in the table.

(b)Students in which class spend more time on completing their art model in general? Explain your answer.

(c)If students have to finish the art model within 104.5 minutes, how many S2B students cannot meet the requirement?

Section C(30 marks)

Answer ALL questions in this section. Each question carries 10 marks.

Working steps MUST be shown in answering questions in this section.

21.(a)Prove that each of the following is an identity.

(i)

(ii)

(4 marks)

(b)Let.

(i)By putting a = 9.99 and b = 0.01 into (a)(ii), find the exact value of S without using a calculator.

(ii)Mary estimates the value of S by first roundingoff 9.99 and 0.01 to 1 decimal place. Find Mary’s estimate and its absolute error.

(6 marks)

22.The figure shows a regular pentagonABCDE.EAand BC produced intersect at F.

(a)(i)Find∠CDE.

(ii)Find ∠AEC.

(5 marks)

(b)(i)Is△CEF an isosceles triangle? Explain your answer.

(ii)Find ∠EFC.

(3 marks)

(c)If somemore identical pentagons are put side by side to the figure to form a closed ring,find the number of pentagons required.

(2 marks)

23.The following table shows the body temperatures (C) of 40 students.

Body temperature (C) / 35.0  35.9 / 36.0  36.9 / 37.0  37.9 / 38.0  38.9 / 39.0  39.9
Frequency / 3 / 10 / 19 / 6 / 2

(a)(i)Complete the following table.

Body temperature below (C) / 34.95
Cumulative frequency

(ii)Draw a cumulative frequency polygon to present the data.

(5 marks)

(b)Find (i)the 20th percentile,

(ii)the upper quartile.

(2 marks)

(c)If a student with body temperatures between 35.55C and 37.55C are regarded as normal, what is the percentage of students who are not normal?

(3 marks)

 End of paper 

F.2 First Term Examination

Mathematics (Paper 1 - Extra Questions)

Section B(Each question carries 5 marks)

1.It is given that.

(a)Find x : y.

(b)Hence, ifx : z = 5 : 3, find x : y : z.

2.In the figure, ABCD and PQRS are two similar trapeziums.

(a)Find the value of x.

(b)It is given that the perimeter of ABCD is 30. Find the perimeter of PQRS.

3.(a)Expand (m + n)(mn).

(b)Using the result of (a), expand (m2 + m 1)(m2m + 1).

4.A man buys 30 oranges at $x each and 42 lemons at $y each. He packs 5 oranges and 7 lemons into a box and sells each box of fruit for $(8x + 9y). After selling all the boxes of fruit, he gets a profit of $P.

(a)Express x in terms of P and y.

(b)Find x if y = 1.5 and P = 72.

5.(a)Factorize.

(b)Hence, factorize.

6.Refer to the following figure.

(a)Find the measured length of the pencil.

(b)Find the percentage error of the measured lengthof the pencil.

7.The figure shows the test report for English, Chinese and Mathematics tests that Peter took. However, part of the report was torn as shown on the right.

Assume all marks are integers.

(a)If Peter’s total marksis 230, correct to thenearest ten, find the upper limit andthelower limit of the marksof Mathematics test.

(b)Peter estimates that the marks he got should be the lower limit found in (a). After checking, his actual marksis 85.Find the relative error of his estimation in fraction.

8.In the figure, ACE and BCD are straight lines.
(a)Find a and b.

(b)Is △ABDan isosceles triangle? Explain your answer.

9.In a regular n-sided polygon, the size of an interior angle is nine times that of an exterior angle. Find the value of n.

1224111213
17615136
828212019
6920148

10.The monthly overtime record (correct to the nearest h) of 20 employees in a certain company in a month is listed on the right.

(a)Complete the frequency distribution table below.

Time (h) / Class mark (h) / Frequency
610

(b)Draw a frequency curveto present the data in (a).

 End of paper 

F.2 First Term Examination

Mathematics (Paper 2)

Time Allowed: 75 minutes

*********************************************************************

Instructions:

(I)There are 40 questions in this paper and each question carries equal mark. Answer ALL questions and mark your answers on the multiple choice answer sheet provided.

(II)The diagrams in this paper are not drawn to scale.

*********************************************************************

1.A motorcycle travels 243 km in 180 minutes. Find its speed.

A.1.35 km/ h

B.13.5 km/ h

C.40.5 km/ h

D.81 km/ h

2.Given that 15 : (x 2) = 3 : 5, find the value of x.

A.13

B.17

C.23

D.27

3.If, =

A.1 : 2.

B.3 : 4.

C.2 : 3.

D.3 : 2.

4.Given that 5x = 6y and y: z = 3 :4, find x : z.

A.5 : 3

B.5 : 4

C.3 : 10

D.9 : 10

5.In a triangle, the three interior angles are in the ratio 2 : 3 : 4. What is the size of the largest angle in the triangle?

A.60°

B.80°

C.100°

D.140°

6.In the figure, BC is longer than AB by 1 cm. BC : CD = 7 : 10. If CD = 5 cm, find
AB : BC : AD.

A.5 : 7 : 10

B.5 : 7 : 22

C.6 : 7 : 10

D.6 : 7 : 23

7.In the figure, ABCD and PQRS are two similar quadrilaterals.

Find r and s.

A.r = 12,s = 5

B.r = 15,s = 5

C.r = 12,s = 6

D.r = 15,s = 6

8.Which of the following are identities?

II.

III.

A.I and II only

B.I and III only

C.II and III only

D.I, II and III

9.If, where AandB are constants, then

A.A = 2,B = 2.

B.A = 2,B = 2.

C.A = 2,B = 2.

D.A = 2,B = 2.

10.Which of the following expressions have a factor ab?

I.ambm

II.a2b2

III.a2 + ab 2b2

A.I and II only

B.I and III only

C.II and III only

D.I, II and III

11.Factorize 16pqr 6prs + 4ps.

A.2(8pqr 3prs + 2ps)

B.p(16qr 6rs + 4s)

C.2p(8qr 3rs + 2s)

D.2r(8pr 3rs + 2p)

12.If the side of a square is x + 2y, its area is

A.x2 + 2y2.

B.x2 + 4y2.

C.x2 + 2xy + 2y2.

D.x2 + 4xy + 4y2.

13.

14.Simplify

D.3

15.Simplify

A.3x

B.3x

C.3(x 1)

16.Simplify

A.0

17.Given a formula,if a = 2, b = 3 and, find the value of c.

A.6

B.7

C.8

D.9

18.If, then x =

A..

B.–.

C. .

D.–.

19.Factorize x2 7x + 10.

A.(x 1)(x 10)

B.(x + 1)(x + 10)

C.(x + 2)(x + 5)

D.(x 2)(x 5)

20.Factorize 4x2 + 19x + 12.

A.(x + 2)(4x + 6)

B.(x + 4)(4x + 3)

C.(2x + 6)(2x + 2)

D.(2x + 4)(2x + 3)

21.The L.C.M. of 4x + 6y and 6x2xy 15y2 is

A.(4x + 6y)(6x2xy 15y2).

B.2(2x + 3y)(3x 5y).

C.2(2x + 3y)(3x + 5y).

D.2(2x + 3y)(2x 3y)(3x + 5y).

22.x3 + 27y3 =

A.(x + 3y)3

B.(x + 3y)(x2 3xy + 9y2)

C.(x 3y)(x2 + 3xy + 9y2)

D.(x 3y)(x2 + 9xy + 9y2)

23.Express 0.025 46 m in mm and round off the result correct to 2 significant figures.

A.3 mm

B.25 mm

C.25.5 mm

D.255 mm

24.How many ‘0’s are significant figure in 0.030 028 0?

A.2

B.3

C.4

D.5

25.In an election, the vote is 579 795. When the vote is rounded off correct to 3 significant figures, the absolute error is

A.795.

B.205.

C.5.

D.0.035.

26.The lettuce in a hamburger weighs 50 g, correct to the nearest g. Which of the following is NOT a possible weight of the lettuce?

A.49.049 g

B.49.51 g

C.50.01 g

D.50.45 g

27.Find the percentage error when the number 625 is rounded off to 1 significantfigure.

A.4%

28.In the figure, find the value of d.

A.30

B.50

C.60

D.70

29.Find∠ABC in the figure.

A.24

B.48

C.57

D.66

30.In the figure, △ABD is an equilateral triangle and ADC is a straight line. Find∠BCD.

A.25

B.30

C.35

D.40

31.In the figure, BCDE is a straight line. Find∠ADE.

A.117

B.127

C.133

D.143

32.In the figure, find a.

A.40

B.50

C.60

D.70

33.If each interior angle of a regular n-sided polygon is 140°, then n =

A.7.

B.8.

C.9.

D.10.

34.In the figure,∠BAE =

A.20.

B.24.

C.84.

D.100.

35.The table below shows Mr Chan’s monthly expenditure.

Item / Food / Travel / Savings / Others
Expenditure / 5500 / 1000 / 3500 / 3000

Mr Chan wants to present the percentage of each item. Which of the following statistical diagrams should he use?

A.bar chart

B.pie chart

C.broken-line graph

D.scatter diagram

36.The table below shows the time that a group of students spend on playing video games per week.

Time less than (hour) / 0.5 / 3.5 / 6.5 / 9.5 / 12.5 / 15.5
Cumulative frequency / 0 / 40 / 100 / 150 / 195 / 200

Find the percentage of students who spend between 3.5 hours and 12.5 hours per week on playing video games.

A.25%

B.50%

C.77.5%

D.97.5%

37.The diagram shows the result of S2A and S2B students in a Mathematics test.

Which of the following statements is/are correct?

I.S2B students perform better than S2A students in general.

II.No students in S2A and S2B got a mark lower than 35.

III.The diagram shows 2 cumulative frequency curves.

A.II only

B.I and II only

C.II and III only

D.I, II and III

The following cumulative frequency curve shows the scores of a group of contestants in a singing contest.

Refer to the above graph, answer Q38 and Q39.

38.How many contestants have scores 20.5 or above?

A.4

B.6

C.34

D.36

39.Which of the following are correct?

I.There are 40 contestants in the singing contest.

II.The 30th percentile is 18.

III.The difference between the marks corresponding to the upper quartile and the lower quartile is 10.

A.I and II only

B.I and III only

C.II and III only

D.I, II and III

40.The following cumulative frequency polygon shows the IQ scores of 100 students.

If the top 10% of students will attend an intelligent competition, what is the lowest IQ score for a student to attend the competition?

A.111.5

B.114.5

C.119.5

D.124.5

 End of paper 

F.2 First Term Examination

Mathematics (Paper 2 - Extra Questions)

1.The figure shows the floor plan of a flat. The length and the width of the plan are 4 cm and
3 cm respectively. If the actual length of the flat is 8 m, find the actual area of the flat.

A.6 m2

B.12 m2

C.24 m2

D.48 m2

2.Which of the following expressions CANNOT be factorized?

3.If x2– 12x–k is a perfect square expression, what is the value of k?

A.–36

B.–6

C.6

D.36

4.Simplify

5.Factorize p2 2pq 3q2p+ 3q.

A.(p + 3q)(pq + 1)

B.(p + 3q)(p q 1)

C.(p 3q)(p + q 1)

D.(p 3q)(p + q + 1)

6.The lengths of pencil A and pencil B are measured to be 10.1 cm and 12.5 cm respectively, correct to the nearest 0.1 cm. The largest possible difference between the lengths of pencil A
and B is

A.2.3.

B.2.4.

C.2.45.

D.2.5.

7.The measured weight of a parcel is 500 g and its relative error is 0.001. The maximum absolute error of the measurement is

A.1 g.

B.0.5 g.

C.0.05 g.

D.0.000 002 g.

8.In the figure, O is the centre and AOB is a diameter of the circle.

If BCO = 50, find x.

A.100

B.110

C.120

D.130

9.In the figure, ADC is a straight line.Which of the following is / are isoscelestriangle(s)?

I.△ADB

II.△BDC

III.△ABC

A.I only

B.I and II only

C.I and III only

D.I, II and III

10.The frequency polygon below shows the sales of iPhones at different prices last month.

Suppose the corresponding class intervals of the above frequency polygon are $3000  $3999, $4000  $4999, ... Find the class interval with the highest frequency.

A.$4000  $4999

B.$5000  $5999

C.$6000  $6999

D.$7000  $7999

 End of paper 

F.2First Term Examination

Mathematics (Paper 1)

Suggested solutionsMarksRemarks

Section B (50 marks)

11.(a)Price of each gram of oats for the ‘Small Packet’

Price of each gram of oats for the ‘Large Packet’

∵$0.08/g < $0.09/g

∴‘Small Packet’ is more economical

to customers.

(b)Let $P be the required new price of each ‘Large Packet’.

∴The new price of each ‘Large Packet’

is $96.1

12.(a)The volume of the lemon juice

(b)The new volume of the lemon juice

The new volume of the tea

The new ratio of lemon juice to tea in the glass

Suggested solutionsMarksRemarks

13.1

∴1

By comparing the like terms, we have

14.(a)

(b)When

Suggested solutionsMarksRemarks

15.(a)

(b)

16.(a)2

(b)

17.(a)Maximum absolute error

Suggested solutionsMarksRemarks

(b)Upper limit of the actual length

Upper limit of the actual width

(c)Maximum area of the school hall

(cor. to 3 sig. fig.)1

18.∵BC = BA

∴∠BCA = ∠BAC(base∠s, isos. △)

= y1

In△CDE,

(∠sum of△)

(adj. ∠s on st. line)

∠AEB =∠CED(vert. opp. ∠s)

= 90°1

In△ABE,

(∠sum of△)

19.(a)∵AC = CE

∴∠CAE =∠CEA(base ∠s, isos. △)

= 30°1

(int. ∠s, BA // CD)

Suggested solutionsMarksRemarks

(b)(ext.∠of △)

In △ABC,

(∠sum of △)

∵

∴AC = AB = BC

∴△ABC is an equilateral triangle.

20.(a)

1for correct line segments

(b)Since the frequency polygon for S2B
students lies to the right of that for S2A
students, S2B students spend more time
on completing their art model in general.1

(c)Number of S2B students who cannot meet the requirement

= 5 + 13

= 18

Suggested solutionsMarksRemarks

Section C (30 marks)

21.(a)(i)

∴L.H.S. = R.H.S.

∴is an

identity.

(ii)1

(from (a))

∴L.H.S. = R.H.S.

∴is

an identity

(b)(i)Put a = 9.99 and b = 0.01 into (a)(ii), we have

(9.99)3 + (0.01)3

= (9.99 + 0.01)3  3(9.99)(0.01)(9.99 + 0.01)

= 103 3(9.99)(0.01)(10)

= 1000  2.997

= 997 003

∴S =

(ii)∵9.99 = 10.0(cor. to 1 d.p.)1

0.01 = 0.0 (cor. to 1 d.p.)1

∴Mary’s estimate = 10.03 + 0.03

= 10001

∴Absolute error = 1000  997.003

= 2.9971

Suggested solutionsMarksRemarks

22.(a)(i)The sum of all interior angles of ABCDE

(∠ sum of polygon)

1deduct 1 mark for no/wrong

∵All the interior angles of ABCDE are reason
equal.

∴

(ii)∵CD = DE

∴(base.∠s, isos. △)1

In △CDE,

(∠sum of△)

(b)(i)

∵= 72°1

∴FC = FE (sides opp. equal∠s)

∴△CEF is an isosceles triangle.

(ii)In △CEF,

(∠sum of△)

(c)Let n be the number of pentagons in the closed ring.

(∠s at a pt.)1Accept any other correct method

∴The number of pentagons in the closed 1
ring is 10.

Suggested solutionsMarksRemarks

23. / (a) / (i) / Body temperature below (C) / 34.95 / 35.95 / 36.95 / 37.95 / 38.95 / 39.95
Cumulative frequency / 0 / 3 / 13 / 32 / 38 / 40

2deduct 0.5 marks for each mistakes

(ii)

1Correct labels on the x-axis and y-axis
1Correct title

1Joining the points

(b)(i)The cumulative frequency that corresponds to the 20th percentile

= 20%  total frequency

= 20%  40

= 8

From the graph, the 20th percentile

(ii)The cumulative frequency that corresponds to the upper quartile

= 75%  total frequency

= 75%  40

= 30

From the graph, the upper quartile

(c)From the graph,

the number of students with body temperature below 35.55°C= 2

the number of students with body temperature below 37.55°C= 24

∴The number of students who are normal

= 24  2 = 221

∴Percentage of students who are not normal

F.2First Term Examination

Mathematics (Paper 1  Extra Questions)

SuggestedSolutions and Marking Scheme

Suggested solutionsMarksRemarks

Section B (Each question carries 5 marks)

1.(a)

∴1

(b)

∴1

2.(a)∵The ratios of the corresponding lengths in similar figures are equal.

∴1

(b)∵The ratios of the corresponding lengths in similar figures are equal.

∴1

Suggested solutionsMarksRemarks

3.(a)(m + n)(mn) =1

(b)

4.(a)The oranges and lemons can be packed
into 6 boxes.1

∵Profit = Selling price  cost price

∴1

(b)Substitutey = 1.5 andP = 72 into the above formula, we have

5.(a)2

(b)

6.(a)From the figure, the measured length of the
pencil is 4 cm.1

Suggested solutionsMarksRemarks

(b)∵The maximum absolute error

= 0.1 cm1

∴Thepercentage error of the measured length

1 + 1

7.(a)Maximum absolute error =

Upper limit of Peter’s total marks

= 230 + 5

= 2351

Upper limit of the mark of Mathematics test

Lower limit of Peter’s total marks

= 230  5

= 2251

Lower limit of the mark of Mathematics test

(b)Absolute error = 85 82 = 3

∴Relative error1

Suggested solutionsMarksRemarks

8.(a)DAE = BEA(alt. s, AD // BE)1Deduct 1 mark for no/wrong reason

=48

i.e. CAD = 48

In △ADC,

ACB=CAD + ADC (ext. ∠ of △)

= 48 + 28

= 76

In △ACB,

b =ACB(base s, isos. △)

a = 180CBABCA( sum of △)

= 180 2b

= 180 2(76)

= 1

(b)DBA = b = 76

BAD = DAE + CAB

= 48 + 28

= 76

∴DBA=BAD1

∴AD = BD(sides opp. equal s)1For correct reason

∴△ABD is an isosceles triangle.

9.The sum of all interior angles

=( sum of polygon)1

The sum of all exterior angles

=(sum of ext. sof polygon)1

∵The size of an interior angle is nine times that of an exterior angle.

∴= 1

Suggested solutionsMarksRemarks

10. / (a) / Time (h) / Class mark (h) / Frequency
6  10 / 8 / 6
11  15 / 13 / 7
16  20 / 18 / 4
21  25 / 23 / 2
26  30 / 28 / 1

2deduct 0.5 marks for each mistakes

(b)

1Correct labels on the x-axis and y-axis
1Correct title

1Joining the points

Answers

F.2 First Term Examination

Mathematics (Paper 2)*

Mathematics in Action(Second Edition) E1ISBN 978-988-00-4345-1

Term Exam Paper Kit

1.D

2.D

3.C

4.D

5.B

6.B

7.A

8.C

9.B

10.D

11.C

12.D

13.C

14.B

15.A

16.C

17.B

18.C

19.D

20.B

21.B

22.B

23.B

24.B

25.B

26.A

27.A

28.D

29.B

30.B

31.B

32.B

33.C

34.C

35.B

36.C

37.B

38.A

39.B

40.C

Mathematics in Action(Second Edition) E1ISBN 978-988-00-4345-1

Term Exam Paper Kit

F.2 First Term Examination

Mathematics (Paper 2– Extra Questions)*

Mathematics in Action(Second Edition) E1ISBN 978-988-00-4345-1

Term Exam Paper Kit

1.D

2.A

3.A

4.D

5.C

6.D

7.B

8.A

9.D

10.B

Mathematics in Action(Second Edition) E1ISBN 978-988-00-4345-1

Term Exam Paper Kit

*: The soft copy of the suggested solutions is available on our website.

Mathematics in Action(Second Edition) E 1 ISBN978-988-00-4343-7