SEAMO 2018 Paper B © TCIMO 1
1. Find the next number in the sequence
5611, 111223, 232447,…
(A) 232495
(B) 464793
(C) 474895
(D) 474896
(E) None of the above
4. How many cubes are there in the figure
below?
(A) 20
(B) 22
(C) 23
(D) 24
(E) 25
2. Find perimeter of the figure below.
(A) 38
(B) 42
(C) 44
(D) 46
(E) None of the above
5. In the following additions, each letter
represents a different digit.
Find -./0
11111111.
(A) 8370
(B) 9464
(C) 8371
(D) 9465
(E) None of the above
3. 6 footballs and 3 basketballs cost $279.
2 footballs and 3 basketballs cost $139.
Find the prices of a football and a
basketball, respectively.
(A) $35 and $21
(B) $35 and $23
(C) $40 and $21
(D) $40 and $23
(E) None of the above
QUESTIONS 1 TO 10 ARE WORTH
3 MARKS EACH
SEAMO 2018 Paper B © TCIMO
2
6. Pine trees are planted at equal
intervals of 16 m along a straight road,
including both ends of the road. If the
road is 960 m long, how many pine
trees are there altogether?
(A) 56
(B) 58
(C) 59
(D) 60
(E) 61
8. There are 14 children at a party.
If each child shakes hands with each
other exactly once, how many
handshakes will take place?
(A) 75
(B) 85
(C) 87
(D) 89
(E) 91
9. When 925 is divided by 8, the quotient
is 35 and the remainder is 15. Find 8.
(A) 23
(B) 25
(C) 26
(D) 27
(E) None of the above
7. The numbers 1, 2, 3, … , 9 is to be filled
in each circle, such that the sum of
numbers along each line is 9. Find 9.
(A) 25
(B) 26
(C) 22
(D) 34
(E) None of the above
10. There are 15 red, 20 white, 25 black
and 40 yellow balls in bag. Without
looking into the bag, find the least
number of balls to be removed,
without replacement, to obtain at
least 4 balls of different colours.
(A) 86
(B) 76
(C) 75
(D) 66
(E) 67
SEAMO 2018 Paper B © TCIMO 3
11. Find the missing number in the
number puzzle below.
(A) 5
(B) 7
(C) 4
(D) 8
(E) None of the above
13. Teacher Ali has a bag of sweets. If he
gives each student 4 sweets, he will
be left with 4 sweets. If he gives each
student 5 sweets, he will be short of 7
sweets. How many sweets does
Teacher Ali have?
(A) 45
(B) 46
(C) 47
(D) 48
(E) None of the above
14. There is a total of 15 questions in a
mathematics test. For every correct
answer, 8 marks will be awarded. For
every wrong answer, 4 marks are
deducted. If John scored a total of
72 marks, how questions did he
answer wrongly?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
12. Peter has a total of 100 chickens and
rabbits on his farm. If the animals
have 260 legs altogether, how many
chickens are there on the farm?
(A) 40
(B) 50
(C) 60
(D) 70
(E) 80
QUESTIONS 11 TO 20 ARE WORTH
4 MARKS EACH
SEAMO 2018 Paper B © TCIMO
4
15. Cindy’s father is 4 times older than
her. Three years ago, both their ages
added up to 49. How old are Cindy
and her father, respectively, this
year?
(A) 10 and 45
(B) 11 and 44
(C) 12 and 46
(D) 9 and 36
(E) None of the above
17. The diagram below shows a rectangle
of length 36 cm . It contains two
shaded regions and 7 identical small
rectangles. Find the area of one small
rectangle, in cm;
.
(A) 98
(B) 120
(C) 144
(D) 156
(E) None of the above
16. Mark had some stamps. He gave
10 less than half of his stamps of to
Shaun. Then, he gave 6 more than
half the remainder to Cindy. Finally,
he gave 30 stamps to his cousin and
was left with 40 stamps. How many
stamps did he have at first?
(A) 284
(B) 304
(C) 322
(D) 354
(E) None of the above
18. Train - left Town < for Town =, at a
speed of 60 km/h. 1h later, Train . left
Town < for Town = , at a speed of
75 km/h. How many hours did Train .
take to catch up with Train -?
(A) 2 h 30 min
(B) 3 h
(C) 3 h 30 min
(D) 3 h 45 min
(E) 4 h
SEAMO 2018 Paper B © TCIMO 5
19. In the diagram below, the topmost
layer has 60 circles. How many
circles are there altogether?
(A) 1750
(B) 1780
(C) 1830
(D) 1880
(E) None of the above
21. A new operation is defined as
B ⊚ D = 5 × B − 3 × D
Given that 14 ⊚ D = 13, find the value of D.
22. Alan wrote on the whiteboard
1, 2, 3, 4, 5, … , 173
How many times did he write the digit
‘7’ altogether?
23. Many years ago, there were
5 Saturdays in the month of February.
On which day of the week was the last
day of that year?
20. The diagram shows a square -./0 of
side 10 H8 and a shaded rectangle of
area 6 cm;
. What is the area of IJKL?
(A) 49 cm;
(B) 51 cm;
(C) 62 cm;
(D) 53 cm;
(E) 58 cm;
24. Jane walked from her house to Peter’s
at a speed of 80 m/min. At the same
time, Peter walked from his house to
Jane’s at a speed of 60 m/min. They
met 15 m from the mid-point of the
two houses.
How far is Jane’s house from Peter’s?
QUESTIONS 21 TO 25 ARE WORTH
6 MARKS EACH
SEAMO 2018 Paper B © TCIMO
6
25. In the diagram below, -./0 is a
square of side 4 cm . 0IJK is a
rectangle. I-J is a straight line.
Given that /K = 3 cm and 0K = 5 cm ,
find the length of 0I in cm.
End of Paper
© SEAMO 2018 Paper B 1
SEAMO 2018
Paper B – Answers
Multiple-Choice Questions
Questions 1 to 10 carry 3 marks each.
Q1 Q2 Q3 Q4 Q5
C D B B C
Q6 Q7 Q8 Q9 Q10
E A E C A
Questions 11 to 20 carry 4 marks each.
Q11 Q12 Q13 Q14 Q15
A D D C B
Q16 Q17 Q18 Q19 Q20
A C E C D
Free-Response Questions
Questions 21 to 25 carry 6 marks each.
21 22 23 24 25
19 31 THURSDAY 210 m 3.2 cm

Đề thi SEAMO 2018.pdf

  • 2.
    SEAMO 2018 PaperB © TCIMO 1 1. Find the next number in the sequence 5611, 111223, 232447,… (A) 232495 (B) 464793 (C) 474895 (D) 474896 (E) None of the above 4. How many cubes are there in the figure below? (A) 20 (B) 22 (C) 23 (D) 24 (E) 25 2. Find perimeter of the figure below. (A) 38 (B) 42 (C) 44 (D) 46 (E) None of the above 5. In the following additions, each letter represents a different digit. Find -./0 11111111. (A) 8370 (B) 9464 (C) 8371 (D) 9465 (E) None of the above 3. 6 footballs and 3 basketballs cost $279. 2 footballs and 3 basketballs cost $139. Find the prices of a football and a basketball, respectively. (A) $35 and $21 (B) $35 and $23 (C) $40 and $21 (D) $40 and $23 (E) None of the above QUESTIONS 1 TO 10 ARE WORTH 3 MARKS EACH
  • 3.
    SEAMO 2018 PaperB © TCIMO 2 6. Pine trees are planted at equal intervals of 16 m along a straight road, including both ends of the road. If the road is 960 m long, how many pine trees are there altogether? (A) 56 (B) 58 (C) 59 (D) 60 (E) 61 8. There are 14 children at a party. If each child shakes hands with each other exactly once, how many handshakes will take place? (A) 75 (B) 85 (C) 87 (D) 89 (E) 91 9. When 925 is divided by 8, the quotient is 35 and the remainder is 15. Find 8. (A) 23 (B) 25 (C) 26 (D) 27 (E) None of the above 7. The numbers 1, 2, 3, … , 9 is to be filled in each circle, such that the sum of numbers along each line is 9. Find 9. (A) 25 (B) 26 (C) 22 (D) 34 (E) None of the above 10. There are 15 red, 20 white, 25 black and 40 yellow balls in bag. Without looking into the bag, find the least number of balls to be removed, without replacement, to obtain at least 4 balls of different colours. (A) 86 (B) 76 (C) 75 (D) 66 (E) 67
  • 4.
    SEAMO 2018 PaperB © TCIMO 3 11. Find the missing number in the number puzzle below. (A) 5 (B) 7 (C) 4 (D) 8 (E) None of the above 13. Teacher Ali has a bag of sweets. If he gives each student 4 sweets, he will be left with 4 sweets. If he gives each student 5 sweets, he will be short of 7 sweets. How many sweets does Teacher Ali have? (A) 45 (B) 46 (C) 47 (D) 48 (E) None of the above 14. There is a total of 15 questions in a mathematics test. For every correct answer, 8 marks will be awarded. For every wrong answer, 4 marks are deducted. If John scored a total of 72 marks, how questions did he answer wrongly? (A) 2 (B) 3 (C) 4 (D) 5 (E) 6 12. Peter has a total of 100 chickens and rabbits on his farm. If the animals have 260 legs altogether, how many chickens are there on the farm? (A) 40 (B) 50 (C) 60 (D) 70 (E) 80 QUESTIONS 11 TO 20 ARE WORTH 4 MARKS EACH
  • 5.
    SEAMO 2018 PaperB © TCIMO 4 15. Cindy’s father is 4 times older than her. Three years ago, both their ages added up to 49. How old are Cindy and her father, respectively, this year? (A) 10 and 45 (B) 11 and 44 (C) 12 and 46 (D) 9 and 36 (E) None of the above 17. The diagram below shows a rectangle of length 36 cm . It contains two shaded regions and 7 identical small rectangles. Find the area of one small rectangle, in cm; . (A) 98 (B) 120 (C) 144 (D) 156 (E) None of the above 16. Mark had some stamps. He gave 10 less than half of his stamps of to Shaun. Then, he gave 6 more than half the remainder to Cindy. Finally, he gave 30 stamps to his cousin and was left with 40 stamps. How many stamps did he have at first? (A) 284 (B) 304 (C) 322 (D) 354 (E) None of the above 18. Train - left Town < for Town =, at a speed of 60 km/h. 1h later, Train . left Town < for Town = , at a speed of 75 km/h. How many hours did Train . take to catch up with Train -? (A) 2 h 30 min (B) 3 h (C) 3 h 30 min (D) 3 h 45 min (E) 4 h
  • 6.
    SEAMO 2018 PaperB © TCIMO 5 19. In the diagram below, the topmost layer has 60 circles. How many circles are there altogether? (A) 1750 (B) 1780 (C) 1830 (D) 1880 (E) None of the above 21. A new operation is defined as B ⊚ D = 5 × B − 3 × D Given that 14 ⊚ D = 13, find the value of D. 22. Alan wrote on the whiteboard 1, 2, 3, 4, 5, … , 173 How many times did he write the digit ‘7’ altogether? 23. Many years ago, there were 5 Saturdays in the month of February. On which day of the week was the last day of that year? 20. The diagram shows a square -./0 of side 10 H8 and a shaded rectangle of area 6 cm; . What is the area of IJKL? (A) 49 cm; (B) 51 cm; (C) 62 cm; (D) 53 cm; (E) 58 cm; 24. Jane walked from her house to Peter’s at a speed of 80 m/min. At the same time, Peter walked from his house to Jane’s at a speed of 60 m/min. They met 15 m from the mid-point of the two houses. How far is Jane’s house from Peter’s? QUESTIONS 21 TO 25 ARE WORTH 6 MARKS EACH
  • 7.
    SEAMO 2018 PaperB © TCIMO 6 25. In the diagram below, -./0 is a square of side 4 cm . 0IJK is a rectangle. I-J is a straight line. Given that /K = 3 cm and 0K = 5 cm , find the length of 0I in cm. End of Paper
  • 8.
    © SEAMO 2018Paper B 1 SEAMO 2018 Paper B – Answers Multiple-Choice Questions Questions 1 to 10 carry 3 marks each. Q1 Q2 Q3 Q4 Q5 C D B B C Q6 Q7 Q8 Q9 Q10 E A E C A Questions 11 to 20 carry 4 marks each. Q11 Q12 Q13 Q14 Q15 A D D C B Q16 Q17 Q18 Q19 Q20 A C E C D Free-Response Questions Questions 21 to 25 carry 6 marks each. 21 22 23 24 25 19 31 THURSDAY 210 m 3.2 cm