SASMO 2017 Secondary 1 (Grade 7) Contest

Question 1

What is the remainder when 1234 x 567 is divided by 5?
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1. 1
2. 2 G3
3. See the source image for option C.
4. 4
5. 8

Question 2

Given that 17 x A = 1017? — 10007, what is the value of A?

1. 17
2. 217 [oa biav,
3. . A117
4. 2017
5. None of the above

Question 3

Find the average of the following 100 numbers.
—1,2,—3,4,-5, 6, .., —99, 100

1. 0.5
2. See the source image for option B.
3. -50)
4. 50.5
5. None of the above

Question 4

Which of the following has the largest value?
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B. =

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1. 10
2. See the source image for option B.
3. 12
4. See the source image for option D.
5. See the source image for option E.

Question 5

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?

1. \$2
2. \$2.50
3. \$5
4. \$7.50
5. None of the above

Question 6

Find the next term of the following sequence:

2017, 2016, 2012, 2003, 1987,?

1. 1982
2. 1971
3. 1962
4. 1951
5. None of the above

Question 7

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.

1. 10
2. 38 CG, 58:
3. See the source image for option C.
4. 80
5. None of the above

Question 8

The operator ‹ acts on two numbers to give the following results:
4% 8 = 86
829=910
60 12 = 128
15 24 20 = 2017
Find the value of 17 4 17.

1. 1719
2. 1720
3. 2013
4. 2017
5. None of the above

Question 9

It is given that n! = n x (n—1) x (n—2)X...x3 x2 x 1. For example, 4! =
4x3 x21. Find the remainder when 1! + 2! + 3! +--+ 10! Is divided by 10.

1. 3
2. 4 C5:
3. See the source image for option C.
4. 6
5. None of the above

Question 10

Five friends of James are playing a riddle game in which James has to determine
who is hiding his key.
Antonio: “It is not Eric. It is Bruce.”
Bruce: “It is not Chris. It is not Eric.”
Chris: “It is Eric. It is not Antonio.”
Daniel: “It is Chris. It is Bruce.”
Eric: “It is Daniel. It is not Antonio.”
If each of them says only one true sentence, who is hiding James's key?

1. Antonio
2. Bruce
3. Chris
4. Daniel
5. Not enough information to determine

Question 11

How many different 4-digit numbers can be formed using the digits 1 or 7 only?
(Example: 1111 and 1717)

A 8

1. 8
2. 10
3. . 12
4. 14
5. 16 AN

Question 12

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?
4 B
D c

1. p+r=qts
2. q-p=r-s
3. p+q=rts
4. 2x(p+s)=q+r
5. Impossible to determine

Question 13

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?

1. 693
2. 694
3. ‘695
4. 696
5. None of the above

Question 14

What is the 2017" digit after the decimal point of the decimal form of a ?

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1. 1
2. 2 CaS
3. See the source image for option C.
4. 4
5. None of the above

Question 15

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Only 2 out of the 4 figures below will form a 3 by 3 cube Foe
as shown on the right. Which 2 figures can form a3 by3 fj
cube? SS

é a fl go

J 4

1. P,Q
2. P,R
3. See the source image for option C.
4. Q,R
5. Q;S

Question 16

: | The hour hand of a certain clock is 3.5 cm long. How far does the tip of the
hour hand travel in a 24-hour period? (Use m = 2. Give your answer in cm)
/

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Bee!

Question 17

i The bar chart below shows the number of smartphones sold in City A in the
SS second half of year 2016. For example, 700 smartphones were sold in
September. Starting from September, the number of smartphones sold in each
/ month is equal to sum of the smartphones sold in the previous two months.
What is the average number of smartphones sold in the second half of year
2016?

Number
of smartphone
i (in Hundreds)
Jul Aug Sep Oct Nov Dec
f Month
i
;
——

Question 18

Find the 2-digit whole number that is equal to the square of the sum of its
digits.

Question 19

It is given that q,r,s and t are integers. The product (q° + r°) x (s° + ¢°) is
equal to 65. What is the value of g° + r° + s® + ¢®?

Question 20

Adam and Steve left a school at the same time. They walked to the same train
station. Adam's speed was 50 m/min. After 8 minutes, Steve was ahead by 240
metres. If Steve arrived at the train station 6 minutes ahead of Adam, how far
is the school from the train station? (Give your answer in metres)
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