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Distinction in Mathematics Revision is a series of books aiming to help students not just to pass but to do so with flying colours. Written in line with MOE’s syllabus, each book comprises seven to ten revision papers specially designed to help students:

• Establish familiarity and ease with the examination format and knowledge of the different types of questions to expect.

• Practise essential skills in problem analysis and application of Mathematical concepts.

• Acquire strategies to solve more challenging and non-routine examination questions.

Million Dollar Questions assess a student’s ability to adopt a careful and systematic approach to problem solving. In order to obtain the right answers, students will need to draw on logical thinking skills so as to accurately translate information from these questions into clear and concise Mathematical statements.

Practice makes perfect! Through regular practice, students will develop con� dence and competence in tackling examination questions with ease.

Detailed Answers to the Million Dollar Questions are available in the book and online. These worked solutions provide a step-by-step guide for students to achieve understanding and hone their skills in answering such questions.

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Past Year Analysis 1

Revision 1 3(P6 New Topics: Algebra, Solid Figures, Nets, Ratio)

Revision 2 23(P6 New Topics: Algebra, Solid Figures, Nets, Ratio)

Revision 3 42(P6 New Topics: Percentage, Speed, Circles)

Revision 4 61(P6 New Topics: Percentage, Speed, Circles)

Revision 5 80(P6 New Topics: Pie Charts, Volume, 4-sided Figures)

Revision 6 99(P6 New Topics: Pie Charts, Volume, 4-sided Figures)

Revision 7 119(P6 New Topics: Pie Charts, Volume, 4-sided Figures)

Answer Key 139

60

Sam and Thomas each had some geese in their farm. If Sam sold 80 geese a day and Thomas sold 40 geese a day, Sam would have 160 geese left by the time Thomas had sold all his geese. If Sam sold 40 geese a day and Thomas sold 80 geese a day, Sam would have 880 geese left by the time Thomas had sold all his geese. Find the number of geese in Sam’s farm.

Ans:________________

6

74

14) Mr Ibrahim saves 15% of his monthly income. If his monthly income is increased by 12%, his savings will increase by $50.40. Find his monthly

income.

:snA ______________[4]

15) The � gure below shows the dimensions of the symmetric banner Michael

Jackson’s Fan Club wants to make. What is the total area of the cloth needed to make 28 such banners?

75 cm

20 cm

MJ IS THE BEST !!! 57 cm45 cm

35 cm

:snA ______________[4]

5

91

10) In the � gure below, PQRS is a trapezium. Given that RQ = PQ = 8 cm and the area of Triangle OPQ is 12.8 cm2, what is the area of Triangle OPS?

8 cm

8 cm

S R

QP

O

:snA ______________[3]

11) Five blocks of wood are assembled to form a table. The dimensions of the biggest block of wood are 120 cm by 60 cm by 8 cm. The remaining four identical blocks have a 5-cm square base and a height of 80 cm.

(a) Find the length marked x. (b) Find the volume of wood used to form the table.

104 cm x

___)a(:snA ________[1]

(b)___________[3]

110

8) 21 = 2 = 2 22 = 2 × 2 = 4 23 = 2 × 2 × 2 = 8 24 = 2 × 2 × 2 × 2 = 16 . . .

299 = 2 × . . . × 2 = ?

In the evaluation of 299, what is the digit in the ones place? Marks are awarded for clear explanation.

Ans:______________[3]

9) The total cost of 4 identical shirts and 3 identical blouses is $142. Each shirt costs $4 more than each blouse. Find the cost of 1 such shirt.

Ans:______________[3]

139

Million Dollar Question 2

Men

Women

11 units → 1321 unit → 132 ÷ 11 = 1226 units → 12 × 26 = 312

There were 312 people in the restaurant at � rst.

Revision 2

Paper 1Booklet A

1) 1 6) 37) 48) 39) 210) 2

2) 3 11) 212) 313) 414) 415) 2

3) 24) 35) 1

Booklet B

16) $(8000 − 840x) 22) 75%23) 624) 4 cm25) 25%26) ( 5000 - 100x

90 )

or (500 - 10x9 )

27) 11228) 33

5 h29) 324 cm2

30) 40°

17) 5 : 2 : 818) 216 cm3

19) 30 g20) 5

6 , 23 , 11

18, 12

21)

22) 75%23) 624) 4 cm

Paper 2

1) $1500 11) (a) 35 g (b) 68.75 g12) (a)14k cm (b) 63 cm2

13) $1214) (a) 11

15 (b) 5 5

11 h15) 292 cm16) 1 m17) (a) 5 cm (b) 375 cm3 18) 300%

2) 90 cm3) $1.604) 25%5) 5184x cm3

6) (a) 9 (b) 195 (c) 1327) (a) $36 (b) 4464

69 %8) $2109) 130°10) 42

3 m

Revision 1

Paper 1Booklet A

1) 1 6) 17) 38) 29) 210) 1

2) 2 11) 412) 313) 114) 315) 3

3) 44) 15) 4

Booklet B

16) 1080w 24) 7

9d25) 1920 cm3

26) 3027) (7p + 6)28) 400029) 15530) 250

17) 9018) 74 19) 920) 6821) $48022) 823) 65°

Paper 2

1) 9) $25510) 411) 27 cm12) $5713) 5014) (a) 1

10 (b) 7215) (a) 2 : 3 (b) 9116) Pail B → 2.24 kg Pail A → 1.35 kg17) (a) (3c + 37) m (b) $32218) 105 min 52 s

2) $21x3) 50 cm4) 0.7 m5) (a) ACJ or ADF (b) 12 cm2

6) (a) Shirley (b) 41

2 h7) 258) 51 min

Million Dollar Question 1

(a) 15p 3p = 12p 1

2 × 12p × 6p = 36p2

The area of ABC is 36p2 cm2.

(b) 36p2 → 576 36p2 → 36 × 16 p2 → 16 p × p → 4 × 4 p → 4

The value of p is 4.

Million Dollar Question 3

(a) At � rst, Number 20¢ : 10¢= 2 : 3

Value 20¢ : 10¢ Total

7 units= 4 : 3

Later,Number 20¢ : 10¢= 1 : 5

Value 20¢ : 10¢= 1 × 2 : 5 × 1 Total

7 units= 2 : 5

Multiple of 7 between25 and 30 is 28.

The total amount of money Rebecca has is $28.

(b) 7 units → $281 unit → $28 ÷ 7 = $44 units 2 units = 2 units2 units → $4 × 2 = $8 $8 ÷ $0.20 = 40

40 20-cent coins were exchanged for 10-cent coins.

Million Dollar Question 4

24 22

B

G

46

46 22 = 243 + 2 → 244 + 1 → 228 + 2 → 44

5 → 44 24 = 201 → 20 ÷ 5 = 4 7 → 4 × 7 = 28 girls

Arrived At Destination