2009 Longman Book 1A Mock Paper[1]
Transcript of 2009 Longman Book 1A Mock Paper[1]
Term Exam Paper Kit
Mathematics in Action (Second Edition) E 1 ISBN 978-988-00-5730-4 – Teacher’s Resource File 1 (Sample Papers) © Pearson Education Asia Limited 2009
Introduction
Mathematics in Action (Second Edition) – Term Exam Paper Kit is written 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 Kit consists 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
Section A Short questions 10 –
(numerical
answers only)
Section B Long questions 10 10 Paper 1
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.
Mathematics in Action (Second Edition)
Mathematics in Action (Second Edition) E 2 ISBN 978-988-00-5730-4 – Teacher’s Resource File 1 (Sample Papers) © Pearson Education Asia Limited 2009
F.1 First Term Examination
Mathematics (Paper 1)
Name: Class: No.:
Time Allowed: 75 minutes
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. Find the value of 4)3()5( . ___________________
2. The cost of an apple is $2. Find the cost of m apples. ___________________
3. Express the statement ‘subtract p from the product
of m and n’ in algebraic expression. ___________________
4. Solve 1132 x . ___________________
5. The marked price of a pen is $120 and it is now
sold for $84. Find the discount per cent. ___________________
6. The height of Kelvin is 85% of the height of Wilson.
Find the height of Wilson if Kelvin is 153 cm tall. __________________
7. A store sells 61 eggs for $29.9. Estimate the
number of eggs that can be bought for $10. ___________________
Marks
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8. In the following figure, find ABC.
___________________
9. Draw the uniform cross-section of the following solid.
___________________
10. The figure shows a part of a figure drawn on a
square grid paper, where the lines AC and BD
are the axes of symmetry of the figure.
(a) Complete the above figure.
(b) Write down the order of rotational symmetry
of the figure. ___________________
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. On a cold winter day in Beijing, the temperature was 8C at 5 a.m. The temperature rose
by 6C at noon and then dropped by 10 C at 9 p.m. Find the temperature at 9 p.m.
C A
B
66
A B
CD
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12. It is given that the formula 1
)1(
r
raS
n
. Find the value of S if a = 4, r = 3 and n = 2.
13. Consider the sequence 2, 4, 8, 16, …
(a) Write down the 5th and the 6th terms of the sequences.
(b) Find the general term of the sequences.
14. Solve the following equations.
(a) 040)2(4)2(3 xx (b) 2
54
3 xx
15. A shopkeeper marks a book at $240 and sells it at a discount of 20%.
(a) Find the selling price of the book.
(b) If the shopkeeper makes a profit of 60%, find the cost price of the book.
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16. A man buys 5 dozens of apples for $80. He finds that 30% of the apples are rotten and he
sells the rest at $2 each. What is his profit or loss?
17. Peter sells the following items: Item Unit price Number of items
A $10.1 20 B $14.9 10 C $20.3 5
(a) By rounding off the unit price of each item to the nearest dollar, estimate the total amount
received after he sells all the items.
(b) If the total cost of all the items is $500, what is his profit per cent or loss per cent?
18. In the figure, find the value of x.
4x 15 x + 5
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19. (a) Referring to the figure, classify the marked angles a, b, c, d and e as acute, right,
obtuse, straight or reflex angle(s). (b) Determine whether each of the following polygons is a convex or concave polygon. (i) ADCF (ii) AECB 20. (a) Draw the image of the object P after the following transformations:
‘Rotate the object P anti-clockwise about O through 90. Then translate it
to the right by 8 units.’
(b) Describe what single transformation is needed on the image obtained in (a) so that
the object Q can be formed.
Object P
O
Object Q
a
b
c d
e
A
B
CD E
F
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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. There are 200 coins in a bag. N of them are $2 coins and the rest are $5 coins.
(a) Find, in terms of N, the total value of the coins in the bag. (3 marks)
(b) If, in addition that, the total value of the coins in the bag is $640, find the value of N.
(3 marks)
(c) Now, a man replaces all the $2 coins by $1 coins. Find
(i) the total value of the coins in the bag,
(ii) the percentage decrease in the total value of the coins in the bag.
(4 marks)
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22. Mary wants to buy four ice creams at $10 each. She has a VIP card, a cash coupon and a
promotion coupon as shown below.
(a) If Mary uses the cash coupon, find
(i) the amount that she should pay for the ice creams,
(ii) the discount per cent that she can get. (3 marks)
(b) If Mary uses the promotion coupon, find
(i) the amount that she should pay for the ice creams,
(ii) the discount per cent that she can get. (3 marks)
(c) By which method of payment, she can get the greatest discount? (1 mark)
(d) Mary finds a new cash coupon as shown below.
If the discount offered by this coupon is the same as that by the VIP card, find the value
of x. (3 marks)
VIP Card
30% off * This card cannot be used
in conjunction with other coupons or promotion items.
Cash Coupon
$8 off for spending $25 or more
* This card cannot be used with any other offer, coupon or promotion.
Promotion Coupon
Buy 2 get 1 free
* This card cannot be used with any other offer, coupon or promotion.
Cash Coupon (New)
$x off for spending $25 or more
* This card cannot be used with any other offer, coupon or promotion.
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23. In the following figure, PSR is a straight line.
(a) By considering △PQS, find the value of x. (4 marks)
(b) State whether △PQS is an acute, an obtuse or a right-angled triangle. Explain your
answer briefly. (2 marks)
(c) State whether △PQR is an acute, an obtuse or a right-angled triangle. Explain your
answer briefly. (4 marks)
End of paper
P Q
R
S
2x
6x
12x
30
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F.1 First Term Examination Mathematics (Paper 1 - Extra Questions)
Section B (Each question carries 5 marks)
1. Given the formula 2
2
1atuts . Find the value of u if s = 35, a = 4 and t = 5.
2. Let
2
1
3
1M and 2)]4()2[( N .
(a) Calculate the values of M and N.
(b) Hence, find the product of M and N. 3. Solve the following equations.
(a) 020)2(4)3(2 yy (b) 3
41
5
2 xx
4. A number of students rent a coach to go for a picnic. If there were 10 students more, each
of them would have to pay $30. If there were 8 students less, each of them would have to
pay $50. Find the number of students going for the picnic.
5. A hawker has 120 oranges. He sells 90 good oranges at $4.5 each and 30 bad ones at $0.5
each.
(a) What is the total selling price of the 120 oranges? (b) If the total loss per cent is 20%, what is the total cost price of the 120 oranges? 6. The figure shows a glass of orange juice and a marble.
(a) If the capacity of the glass is 280 mL, estimate the volume of the orange juice in the glass. (b) If the diameter of the marble is 1 cm, estimate the height of the glass.
7. The length of a cube is measured by the ruler as shown in the figure.
(a) Estimate the volume of the cube.
(b) Estimate the total surface area of the cube.
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8. In the following figure, ACE and BCD are straight lines. Find the values of x, y and z.
9. The figure shows a part of a figure drawn on a square grid, where the lines AB and CD are the
axes of symmetry of the figure.
(a) Complete the above figure.
(b) How many axes of symmetry, including AB and CD, does the figure have?
10. (a) Draw the image after enlargement according to a scale factor of 1.5.
(b) Draw the image after reduction according to a scale factor of 0.5.
(c) A student points out that the image in (a) can be obtained by enlarging the
image in (b) by a scale factor x. Find the value of x.
A B
C
D E
62
38
25 x y
z
A B
C
D
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F.1 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.
(III) Students are not allowed to use calculators.
*********************************************************************
1. )3()3()3(
A. 12
B. 18
C. 6
D. 12
2. Which of the following expressions gives a negative value?
A. (3)(4)
B. (3) (4)
C. 4
3
D. (3) + (4)
3. Which of the following expressions gives a positive value?
A. 83
)7(
B. )9(6
C. 0)34(
D. 5)4(
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4. If 2x , find the value of xxx 23 .
A. 14
B. 6
C. 6
D. 14
5. If 3a and 4b , find the value of ))(( baba .
A. 7
B. 1
C. 7
D. 49
6. ‘Divide 48 by x and subtract 5 from the quotient’ can be written algebraically as
A. 5
48
x.
B. 548
x.
C. x
485 .
D. 548
x
.
7. Consider the sequence 2, 3, 5, a, 12, 17, b, 30, 38, 47, ...
Find the values of a and b.
A. a = 7, b = 22
B. a = 7, b = 23
C. a = 8, b = 22
D. a = 8, b = 23
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8. The scale interval of the following ruler is
A. 0.1 cm.
B. 0.2 cm.
C. 0.5 cm.
D. 1 cm.
9. Choose the appropriate unit for each of the following measurements.
Length of a pen Height of a building Length of a highway
A. m km cm
B. cm km m
C. cm m km
D. km cm m
10. How many axes of symmetry does the figure have?
A. 2
B. 4
C. 6
D. 8
11. Which of the following figures has 2 axes of symmetry?
A. B. C. D.
12. Which of the following figures does not have rotational symmetry?
A. B. C. D.
0 cm 1 2 3 4
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13. Which of the following figures has 8-fold rotational symmetry?
A. B. C. D.
14. Which of the following figures has 2-fold rotational symmetry?
A. B. C. D.
15. Which of the following is the image obtained when the figure on the
right is rotated clockwise about P through 90?
A. B.
C. D.
16. Solve the equation xx
32
43.
A. x = 1
B. x = 2
C. x = 3
D. x = 4
P
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17. Solve the equation 64
3
2
xx.
A. x = 21
B. x = 27
C. x = 30
D. x = 33
18. %200y
A. y200 .
B. y2 .
C. 50
y.
D. 100
y.
19. The marked price of a table is $2500 and the selling price is $2000. Find the discount per
cent.
A. 15%
B. 20%
C. 25%
D. 30%
20. A coat is sold at a discount of 30% for $2100. Find the marked price.
A. $3000
B. $5000
C. $7000
D. $9000
21. The cost price of a book is $200 and it is sold for $160. Find the loss per cent.
A. 20%
B. 25%
C. 75%
D. 80%
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22. John had $150 originally. He spent 20% on the first day and spent 40% of the rest on the
second day. How much does he still have?
A. $60
B. $72
C. $84
D. $96
23. Estimate the percentage of the figure is being shaded.
A. 50%
B. 60%
C. 75%
D. 90%
24. The angle that the minute-hand of a clock has turned from 10:05 a.m. to
10:25 a.m. is
A. an acute angle.
B. a right angle.
C. an obtuse angle.
D. a reflex angle.
25. Which of the following sets of angles cannot be the three angles of a triangle?
A. 20, 80, 80 B. 23, 52, 105 C. 40, 47, 103 D. 1, 2, 177
26. In the figure, AOD is a straight line. AOB = 36 and COD = 50.
Find BOC.
A. 84 B. 90 C. 94 D. 100
A O D
B
C
36 50
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27. In the figure, ABC is a triangle. BAC = 35, DBC = 25 and BCA = 40. Find ABD.
A. 65 B. 70 C. 75 D. 80
28. In the figure, find the value of x.
A. 17 B. 18 C. 19 D. 20
29. Which of the following figures is /are convex polygon(s)?
I. II. III.
A. III only
B. I and II only
C. II and III only
D. I, II and III
30. Which of the following solids is not a polyhedron?
A. B.
C. D.
A C D
B
35 40
25
115 x + 15
2x 10
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31. In the figure, the solid is cut along the grey plane. Which of the following is the
cross-section obtained?
A. B.
C. D.
32. If the length of one side of an equilateral triangle is (2x + 3) cm and the perimeter of it is
39 cm, find the value of x.
A. 5
B. 6
C. 7
B. 8
33. The figure shows the positions of three numbers a, b and c on the number line. Estimate the
value of cba )( .
A. 12
B. 6
C. 6
D. 12
5 0 5
a b c
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34.
Which of the following is the image of the above figure after a single reflection?
A. B. C. D.
35. 4.5% of a number is 9. What is the number?
A. 2000
B. 200
C. 20
D. 2
36. x and y are two numbers. It is known that x is 25% greater than y. By what percentage is y
less than x?
A. 15%
B. 20%
C. 25%
D. 30%
37. In 2007, the salary of John was x. If his salary was increased by 10% in 2008 and then
decreased by 10% in 2009, find the overall percentage change in John’s salary from 2007
to 2009.
A. increased by 1%
B. decreased by 1%
C. decreased by 5%
D. no changes
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38. Which of the following is / are true?
I. 10% 20% = 200%
II. 1 + 10% = 1.1
III. 1 10% = 10
A. I only
B. I and II only
C. I and III only
D. II and III only
39. Which of the following is / are correct?
I. xyyx )(
II. 1010)( xx
III. 0)10(...)3()2()1(
A. I only
B. I and II only
C. I and III only
D. I, II and III
40. Peter bought a box of 80 oranges for $200. He found that twenty-five oranges were rotten
and the rest were sold at $3.6 each. Which of the following is true?
A. Peter had a profit of $20.
B. Peter had a profit of $2.
C. Peter had a loss of $2.
D. Peter had a loss of $20.
End of paper
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F.1 First Term Examination Mathematics (Paper 2 - Extra Questions)
1. Round off each number in the following expression correct to 1 decimal place, then estimate
its value.
35.175 25.857 + 11.345
A. 20.0
B. 20.6
C. 20.7
D. 21.0
2. How many 20 cents stamps can you buy with $M ?
A. 20
M
B. 2M
C. 5M
D. 20M
3. If x + 2 is a positive number, then which of the following must be positive?
A. x
B. x + 3
C. x – 3
D. 3x
4. Which of the following is negative?
A. (2006)4
B. (+456) (1267)
C. (6475) (175)
D. (2005) (3298)
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5. 140% of a number is 28. What is the number?
A. 20
B. 30
C. 40
D. 50
6. If the length of each side of a square is increased by 20%, find the percentage increase in the
area of the square.
A. 40%
B. 42%
C. 44%
D. 46%
7. Given that )32(9
5 FC . If C = 30, find the value of F.
A. 83
B. 84
C. 85
D. 86
8. Consider a sequence with the general term 12 2 n .
Which of the following is NOT a term in the sequence?
A. 1
B. 7
C. 11
D. 31
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9. In the figure, ABC is a straight line. ABD = 123 and BCD = 90.
Find x.
A. 33 B. 43 C. 57 D. 67
10. In the figure, ABCD is a straight line. ABE = x + 10, BEC = 70
and ECD = 2x 30. Find the value of x.
A. 80 B. 85 C. 90 D. 95
End of paper
A B C
D
x
123
A B C D
70
x + 10 2x 30
E
Term Exam Paper Kit
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F.1 First Term Examination Mathematics (Paper 1)
Suggested Solutions and Marking Scheme
*******************************************************************
General Instructions:
(1) Marks will not be deducted for wrong spelling.
(2) 1 mark will be deducted for poor expression or poor presentation.
Maximum of 2 marks will be deducted in Section B and C.
(3) 1 mark will be deducted for wrong / no unit.
Maximum of 1 mark will be deducted for the whole paper.
*******************************************************************
Section A (20 marks)
Question Answer Marks Remarks
1 7 2 2 $2m 2 3 pmn 2 4 4 2 5 30% 2 6 180 cm 2 7 20 2 Accept the answer ‘21’. 8 24 2 9
2
10 (a) (b) 2
2
A
C D
B
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Suggested solutions Marks Remarks Section B (50 marks) 11. Required temperature C]106)8[( 1 + 1 + 1
C12 2
12.
1)3(
1)3()4( 2
S 1
4
)19)(4(
1 + 1
8 2
13. (a) The 5th and the 6th terms are 32 and 64. 1 + 1 (b) General term = n2 3
14. (a) 040)2(4)2(3 xx 0408463 xx 1
0427 x 6x 1
(b) 2
54
3 xx
245
4
34
xx 1
xx 2203 1 20x 1
15. (a) Selling price %)201(240$ 1 8.0240$ 192$ 1
(b) Let $x be the cost price of the book.
%60%100192
x
x
6.0192
x
x
xx 6.0192 xx 6.0192 1926.1 x 120x ∴ The cost price of the book is $120. 3 Accept any other correct method.
Term Exam Paper Kit
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Suggested solutions Marks Remarks 16. Number of apples that are rotten %30125 18 1 Number of apples sold 18125 42 1 Amount got by selling the apples 422$ 84$ 1 ∴ His profit )8084$( 1 Specify 'profit'.
4$ 1
17. (a) Total amount received )52010152010$( 1
450$ 1
(b) His loss per cent 1 Specify 'loss per cent'.
%100500$
450$500$
1
%10 1
18. 18090)5()154( xx 1 180905154 xx 1 515901805x 1 1005x 1 20x 1
19. (a) a: an obtuse angle b: a right angle c: an acute angle d: a reflex angle 3 marks for all correct answers, e: a straight angle deduct 1 mark for each incorrect answer (b) (i) concave polygon 1 (ii) convex polygon 1 20. (a) 2 + 2 2 marks for rotation 2 marks for translation (b) By reflection. 1
Object P
O
Object Q
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Suggested solutions Marks Remarks Section C (30 marks) 21. (a) Number of $5 coins N 200 1 Total value of coins in the bag )]200(52$[ NN 1
)31000$( N 1
(b) 64031000 N 1 N36401000 3603 N 1 120N 1
(c) (i) Total value of coins in the bag )]120200(51201$[ 1
520$ 1
(ii) Percentage decrease
%100640$
520$640$
1
%4
318 1
22. (a) (i) Amount that Mary should pay 8$410$ 32$ 1 (ii) Discount per cent
%10040$
32$40$
1
%10040
8
%20 1
(b) (i) Amount that Mary should pay 10$210$ 30$ 1 (ii) Discount per cent
%10040$
30$40$
1
%10040
10
%25 1
Term Exam Paper Kit
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Suggested solutions Marks Remarks (c) Using the VIP card. 1 (d) %30104 x 2 12 1
23. (a) 1801262
xxx 1
18012
26 xxx 1
18012
9x 1
240x 1
(b) Since PSQ =2
240= 120, 1
△PQS is an obtuse-angled triangle. 1 (c) Consider △PQR. PRQ SQPRPQRQS 180 1
12
240
6
24030180
1
204030180 90 1 ∴ △PQR is a right-angled triangle. 1
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F.1 First Term Examination Mathematics (Paper 1 Extra Questions) Suggested Solutions and Marking Scheme
Suggested solutions Marks Remarks Section B (Each question carries 5 marks)
1. 2)5)(4(2
1)5(35 u 1
50535 u 1 50355 u 1
155 u 1
3u 1
2. (a)
2
1
3
1M
2
1
3
1
6
32 1
6
1 1
2)]4()2[( N
2)6( 1
36 1
(b) 6)36(6
1
MN 1
3. (a) 020)2(4)3(2 yy 0208426 yy 1 0186 y
3y 1
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Suggested solutions Marks Remarks
(b) 3
41
5
2 xx
3
4151
5
215
xx 1
xx 520156 152056 xx 1 511 x
11
5x 1
4. Let N be the number of students. 1 50)8(30)10( NN 2 )8(50)10(30 NN )8(5)10(3 NN 405303 NN 1 702 N 35N ∴ There are 35 students. 1 5. (a) Total selling price )305.0905.4$( 1
420$ 1
(b) Total cost price of the 120 oranges %)201(420$ 2 8.0420$ 525$ 1
6. (a) The volume of the orange juice in the glass is about one-fourth of the capacity of the glass. The required volume
= mL 4
128
2
= mL 70 1
(b) The height of glass is about 8 times the diameter of the marble. The required height = cm )81( 1
= cm 8 1
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Suggested solutions Marks Remarks
7. From the figure, the length of the cube
is 1.4 cm, correct to the nearest 0.2 cm. 1
(a) Volume of cube
= 3cm )4.14.14.1( 1
= 3cm 744.2 1
(b) Total surface area of the cube
= 2cm )4.14.16( 1
= 2cm 1.761 1
8. Consider △ABD. 256238180x 1 55 1
Consider △ABC. 2555180y 1
100 1
Consider the straight line ACE. 100180z
80 1
9. (a) 1 + 1 + 1 1 mark for X, deduct 1 mark for each missing part (b) The figure has 4 axes of symmetry. 2
A B
C
D
X
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Suggested solutions Marks Remarks
10. (a)
2
(b)
2
(c) 3x 1
Mathematics in Action (Second Edition)
Mathematics in Action (Second Edition) E 34 ISBN 978-988-00-5730-4 – Teacher’s Resource File 1 (Sample Papers) © Pearson Education Asia Limited 2009
F.1 First Term Examination Mathematics (Paper 2)
Suggested Solutions
1. A
12
93
)9()3()3()3()3(
2. D
For A, (3)(4) > 0 and is rejected.
For B, (3) (4) = 3 + 4 = 1 > 0 and is rejected.
For C, 4
3
> 0 and is rejected.
For D, (3) + (4) = 3 4 = 7 < 0.
3. B
For A, 05
7
83
)7(
and is rejected.
For B, 0396)9(6 .
For C, 0)34( = 0 and is rejected.
For D, 5)4( < 0 and is rejected.
4. A
Put 2x into xxx 23 , we have
14
248
)2()4()8(
)2()2()2( 23
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Mathematics in Action (Second Edition) E 35 ISBN 978-988-00-5730-4 – Teacher’s Resource File 1 (Sample Papers) © Pearson Education Asia Limited 2009
5. C
Put 3a and 4b into ))(( baba , we have
)4()3()4()3(
7
)1)(7(
4343
6. D
7. D
From the sequence 2, 3, 5, a, 12, 17, b, 30, 38, 47, ... , we observe that
2nd term – 1st term = 1,
3rd term – 2nd term = 2,
4th term – 3rd term = 3, …, and so on.
Therefore, we have,
a – 5 = 3 and b –17 = 6
i.e. a = 8 and b = 23.
8. B
9. C
10. B
There are 4 axes of symmetry as shown below.
11. B
12. D
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Mathematics in Action (Second Edition) E 36 ISBN 978-988-00-5730-4 – Teacher’s Resource File 1 (Sample Papers) © Pearson Education Asia Limited 2009
13. C
14. D
15. D
16. B
2
105
4623
2643
)3(22
432
32
43
x
x
xx
xx
xx
xx
17. A
21
2432
24)3(2
)6(44
3
24
64
3
2
x
xx
xx
xx
xx
18. B
y
yy
2100
200%200
19. B
Discount per cent
%20
%1002500
20002500
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Mathematics in Action (Second Edition) E 37 ISBN 978-988-00-5730-4 – Teacher’s Resource File 1 (Sample Papers) © Pearson Education Asia Limited 2009
20. A
Let $x be the marked price.
3000
21007.0
2100%)301(
x
x
x
∴ The marked price is $3000.
21. A
The loss per cent
%20
%100200
160200
22. B
The amount he still has
72$
6.08.0150$
%)401(%)201(150$
23. C
The required percentage
%75
%1008
6
24. C
The required angle = 36060
20 = 120, which is an obtuse angle.
25. C
For C, since 40 + 47 + 103 = 190 180, therefore, they cannot be the three angles of a triangle.
26. C
BOC = 180 36 50 = 94
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Mathematics in Action (Second Edition) E 38 ISBN 978-988-00-5730-4 – Teacher’s Resource File 1 (Sample Papers) © Pearson Education Asia Limited 2009
27. D
ABD = 180 35 40 25 = 80
28. D
20
603
1801203
18011510215
180115)102()15(
x
x
x
xx
xx
29. B
30. A
31. A
32. A
5
102
1332
39)32(3
x
x
x
x
33. B
6)1()33()1()3()3()( cba
34. B
35. B
Let x be the number.
200
9100
5.4
9%5.4
x
x
x
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36. B
Since x is 25% greater than y, we have
∴
5
44
5
25.1
%)251(
xy
y
y
yx
The required percentage
%20
%100
%100
54
x
xx
yx
x
37. B
The salary of John in 2009
x
x
x
99.0
9.01.1
%)101(%)101(
The overall percentage change
%1
%10001.0
%10099.0
x
xx
xx
∴ Overall percentage change in John’s salary is decreased by 1%.
38. D
For I, 10% 20% = (0.1) (0.2) = 0.02 = 2% 200%
For II, 1 + 10% = 1 + 0.1 = 1.1, which is correct.
For III, 1 10% 10
1001
100
101 = 10, which is correct.
Mathematics in Action (Second Edition)
Mathematics in Action (Second Edition) E 40 ISBN 978-988-00-5730-4 – Teacher’s Resource File 1 (Sample Papers) © Pearson Education Asia Limited 2009
39. B
For I, xyyxyx )( , which is correct.
For II, 1010101010 )()1())(1()( xxxx , which is correct.
For III, 0)10(...)3()2()1( and is rejected.
40. C
Number of oranges that can be sold = 80 25 = 55
Total selling price = $3.6 55 = $198
∴ Peter had a loss of $2.
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F.1 First Term Examination Mathematics (Paper 2 – Extra Questions)
Suggested Solutions 1. B
6.20
3.119.252.35
345.11857.25175.35
2. C
∵ $1 = 100 cents
∴ Number of stamps that can be bought
20
100
M
M5
3. B
∵ x + 2 > 0
∴ x + 3 = (x + 2) + 1 > 0
∴ x + 3 must be positive.
4. B
For B, (+)() < 0 which must be negative.
5. A
Let x be the number.
20140
10028
28100
140
x
x
x
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Mathematics in Action (Second Edition) E 42 ISBN 978-988-00-5730-4 – Teacher’s Resource File 1 (Sample Papers) © Pearson Education Asia Limited 2009
6. C
Let x be the length of the side.
Percentage increase in area
%44
%1001
112.12.1
%100%)]201([
2
22
x
xx
7. D
Put C = 30 into the formula, we have
86
3254
3254
325
930
)32(9
530
F
F
F
F
F
8. C
Put n = 1, n = 2, n = 3, n = 4 into the general term 12 2 n ,
we can get 1, 7, 17, 31.
Hence, the number 11 is not a term in the sequence.
9. A
Consider straight angle ABC.
DBC = 180 123 = 57 Consider △BCD.
33
1805790
x
x
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10. C
Consider straight angles ABC and BCD.
EBC = 180 (x + 10) = 180 x 10 = 170 x
ECB = 180 (2x 30) = 180 2x + 30 = 210 2x
Consider △BCE.
90
2703
3180450
1803450
180702210170
18070)2210()170(
x
x
x
x
xx
xx