Sasmo 2017 Grade 07
Sasmo 2017 Grade 07
Sasmo 2017 Grade 07
Question 1 - Answer C
What is the remainder when 1234 × 567 is divided by 5?
A. 1
B. 2
C. 3
D. 4
E. 8
Question 2 - Answer D
Given that 17 × A = 10172 − 10002 , what is the value of A?
A. 17
B. 217
C. 1117
D. 2017
E. None of the above
Question 3 - Answer A
Find the average of the following 100 numbers.
−1, 2, −3, 4, −5, 6, … , −99, 100
A. 0.5
B. 1
C. 50
D. 50.5
E. None of the above
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SASMO 2017, Secondary 1 (Grade 7) Contest
Question 4 - Answer E
Which of the following has the largest value?
6
A. 7
10
B. 11
12
C. 13
16
D. 17
18
E. 19
Question 5 - Answer C
It would cost Danny $15.50 to buy three Banana smoothies and four Mango
smoothies. Buying five Banana smoothies and six Mango smoothies would cost
him $24.50. What is the price, in dollars, of 2 Banana smoothies?
A. $2
B. $2.50
C. $5
D. $7.50
E. None of the above
Question 6 - Answer C
Find the next term of the following sequence:
2017, 2016, 2012, 2003, 1987, ?
A. 1982
B. 1971
C. 1962
D. 1951
E. None of the above
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SASMO 2017, Secondary 1 (Grade 7) Contest
Question 7 - Answer B
100 students participated in a survey about usage of social media sites Facebook,
Instagram and YouTube. All of them are using at least one of these sites. It was
found that all who use Instagram also use Facebook. 40 students use YouTube,
30 use Instagram, 8 use all the three sites and 12 use YouTube ONLY. Determine
the number of students who use Facebook ONLY.
A. 10
B. 38
C. 58
D. 80
E. None of the above
Question 8 - Answer A
The operator ☼ acts on two numbers to give the following results:
4 ☼ 8 = 86
8 ☼ 9 = 910
6 ☼ 12 = 128
15 ☼ 20 = 2017
Find the value of 17 ☼ 17.
A. 1719
B. 1720
C. 2013
D. 2017
E. None of the above
Question 9 - Answer A
It is given that 𝑛! = 𝑛 × (𝑛 − 1) × (𝑛 − 2) × … × 3 × 2 × 1. For example, 4! =
4 × 3 × 2 × 1. Find the remainder when 1! + 2! + 3! + ⋯ + 10! Is divided by 10.
A. 3
B. 4
C. 5
D. 6
E. None of the above
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SASMO 2017, Secondary 1 (Grade 7) Contest
Question 10 - Answer C
Five friends of James are playing a riddle game in which James has to determine
who is hiding his key.
If each of them says only one true sentence, who is hiding James’s key?
A. Antonio
B. Bruce
C. Chris
D. Daniel
E. Not enough information to determine
Question 11 - Answer E
How many different 4-digit numbers can be formed using the digits 1 or 7 only?
(Example: 1111 and 1717)
A. 8
B. 10
C. 12
D. 14
E. 16
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SASMO 2017, Secondary 1 (Grade 7) Contest
Question 12 - Answer C
The figure below shows a parallelogram 𝐴𝐵𝐶𝐷, and p, q, r and s each denotes
the area of the triangle as shown in the figure. Which of the following relations
among the areas is ALWAYS true?
A B
p
s
D C
A. 𝑝+𝑟 =𝑞+𝑠
B. 𝑞−𝑝 =𝑟−𝑠
C. 𝑝+𝑞 =𝑟+𝑠
D. 2 × (𝑝 + 𝑠) = 𝑞 + 𝑟
E. Impossible to determine
Question 13 - Answer E
A whole number has the same remainder when divided by 7, by 9, or by 11.What
is the greatest 3-digit whole number that satisfy these criteria?
A. 693
B. 694
C. 695
D. 696
E. None of the above
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SASMO 2017, Secondary 1 (Grade 7) Contest
Question 14 - Answer A
2017
What is the 2017th digit after the decimal point of the decimal form of ?
7
A. 1
B. 2
C. 3
D. 4
E. None of the above
Question 15 - Answer C
Only 2 out of the 4 figures below will form a 3 by 3 cube
as shown on the right. Which 2 figures can form a 3 by 3
cube?
P. Q
R. S.
A. P, Q
B. P, R
C. P, S
D. Q, R
E. Q, S
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SASMO 2017, Secondary 1 (Grade 7) Contest
Question 16 - Answer 44
The hour hand of a certain clock is 3.5 cm long. How far does the tip of the
22
hour hand travel in a 24-hour period? (Use 𝜋 = 7. Give your answer in cm)
29
Number
of smartphone
(in Hundreds)
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SASMO 2017, Secondary 1 (Grade 7) Contest
Question 18 - Answer 81
Find the 2-digit whole number that is equal to the square of the sum of its
digits.
Question 19 - Answer 66
It is given that 𝑞, 𝑟, 𝑠 and 𝑡 are integers. The product (𝑞 6 + 𝑟 6 ) × (𝑠 6 + 𝑡 6 ) is
equal to 65. What is the value of 𝑞 6 + 𝑟 6 + 𝑠 6 + 𝑡 6 ?
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SASMO 2017, Secondary 1 (Grade 7) Contest
Question 22 - Answer 15
The number 2017 is a prime number and it can be expressed as sum of cubes
of different whole numbers in three different ways:
2017 = 23 + 43 + 63 + 93 + 103 ,
2017 = 13 + 23 + 43 + 63 + 123 ,
2017 = 13 + 43 + 63 + 83 + 93 + 𝑎3 + 𝑏 3 + 𝑐 3 .
If 𝑎, 𝑏, 𝑐 are different prime numbers, find the value of 𝑎 + 𝑏 + 𝑐.
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SASMO 2017, Secondary 1 (Grade 7) Contest
Question 23 - Answer 12
In the following, all the different letters stand for different digits.
H A H A
+ H A A H
S A S M O
Question 25 - Answer 29
How many triangles are there in the right figure?
END OF PAPER
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