SASMO 2016 Secondary 1 (Grade 7) Contest

Find the following sum
9x1+99x2+999x3+9999 x4
SSS] A. 11010
: B. 10110

a Cc. 11001
: D. 10011
: E. None of the above

i Anthony is the grandfather of twins. The product of the ages of 3 of them is
2016. How old is Anthony? (Anthony is younger than 100 years old).

i Which of the following numbers is always an odd number for any whole number
A?

There are 127 university students. 40 of them take Spanish language class, 30
of them take French language class, and 17 of them take both Spanish and
French. How many students are in neither class?

What is the least number of people who must be in the room so that there are
definitely 3 people who were born in the same month?

A square could possibly intersect a triangle at the following number of points:
I. 3 points
Il. 4 points
II. 5 points
Which of the following statements above are true?

The year 2016 is an interesting number because it is divisible by 1, 2, 3, 4, 6, 7,
8 and 9. When is the next year that has the same properties as above?

How many factors of 5400 are perfect squares?
A 3

Find the missing number A in the pattern below
2@5=12
309 =33
4@3=24
5@®9=65
6@A=96
A 5
Bs
a9

How would the pattern appear when the transparent sheet is folded along the
dotted line?

i : i q

e. None of the above
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i There are 11 regions in the diagram on the right. Each region
is to be painted with one colour. What is the least number of
= colours needed to paint all the regions so that any two
i / adjacent regions do not share the same colour?
A. 3
sl B. 4

=| GS
iS D. 6
i E. None of the above

. =

E i AB,AC and BC are the diameters of three circles shown on the diagram. Given
that AB : BC = 3 : 2, what percentage of the largest circle is unshaded?
Se
A. 50%
f B. 52%
eS C. 48%
t D. 49%
bat E. None of the above
l x
ES
Ee
———— SS aan

What is the largest number of statements below that can be true at the same
time?

e Antony is a lawyer.

e Antony is an unlucky man.

e Antony is a lucky man, but he is not a lawyer.

e If Antony is a lawyer, then he is not a lucky man.

e If Antony is a lawyer, then he is a lucky man.

A 2

Four circles are drawn on a flat surface. What is the greatest number of regions
that can be formed on the surface?

How many triangles are there in the diagram below?

The bar chart below shows the number of cars sold in Town A in the first half of
year 2015. For example, 4700 cars were sold in January while X thousand cars
were sold in February. The number of cars sold in June is double the number of
cars sold in February. The average number of cars sold in each month is 5400.
What is the percentage increase in the number of cars from May to June?
(Round off your answer to the nearest whole number. For example, if your
answer is 9.56%, then write your answer as 10%)
Y
{
Number vd
of cars a2 x
(in Thousands) 3.35
Jan Feb Mar Apr May Jun
Month
Pe) 33
es Se Se SSS ee

A prime number p is a Sophie Germain Prime if both p and 2 x p + 1 are prime

numbers. Number 5 is a Sophie Germain Prime since both 5 and 11 (= 2x 5 + 1)

are prime numbers. How many Sophie Germain Primes less than 60 are there?

Find the largest 7-digit number which contains all digits from 1 through 7 such

that the difference of any two of its consecutive digits is a prime number.

In the diagram below, ABCD is a square, ZCDE = 72° and ZCED = 54°. Find

ar KI
A “D
Saou. aa © Sees Aaa 8 Soe 3. SS EE =

t =

eS

The number below is made up of all the digits of the whole numbers from 1 to
2016 ‘
1234567891011121314 ...201420152016
Find the number of 7’s in this number.
E