SASMO 2014 Secondary 1 (Grade 7) Contest

Find the next term of the following sequence: 2, 1, 3, 4, 7, ..-

Find the product of the highest common factor and the lowest common multiple
of 8 and 12.

Solve for xand yin the following equation (x + 7)? + /y —8 = 0.

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The last day of 2013 was a Tuesday. There are 365 days in 2014. In what day of
the week will 2014 end?

What is the maximum number of parts that can be obtained from cutting a
circular disc using 3 straight cuts?

Aman bought two paintings and then sold them for \$300 each. He made a profit
of 20% for the first painting, but a loss of 20% for the second painting. Overall,
did he make a profit, a loss or break even? If he did not break even, state the
amount of profit or loss.

1 Solve x +x +Vxt.. = 2.

Given that a x b x c = 2014, and a, b and c are positive whole numbers such that
a‹b‹c, how many possible triples (a, b,c) are there?

At a workshop, there are 27 participants. Each of them shakes hand once with
one another. How many handshakes are there?

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A perfect number is a positive integer that is equal to the sum of its proper
positive factors. Proper positive factors of a number are positive factors that are
less than the number. For example, 6 = 1 + 2 + 3 is a perfect number because
1, 2 and 3 are the only proper positive factors of 6. Find the next perfect number.

The dimensions of a rectangle are x cm by y cm, where x and y are integers,
such that the area and perimeter of the rectangle are numerically equal. Find all
the possible values of x and y.

If a and b are positive whole numbers such that a‹b and a’ = b*, find a
possible value for a and for b.
[SS Se eee. feecereeeene SS SSS =a § eed
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Find the value of ——!____.
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1+2)
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Find the last digit of 2014704,

The diagram shows 9 points. Draw 4 consecutive line segments (i.e. the start
point of the next segment must coincide with the endpoint of the previous
segment) to pass through all the 9 points.
a ——————EEeE—eEEEE

What are the last 5 digits of the sum 1+ 11 + 111+... + 111...111?

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2014 digits

What is the least number of cuts required to cut 10 identical sausages so that
they can be shared equally among 18 people?

Divide the following shape into 4 identical parts.
eo ee Sa ee Ss 1 SS eee Rs :
————S ———————— —————————ee

Solve the following equation:
x8 +2x3—x?-2=0.

i Find the value of
1 2 3 im qos
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