SOAL-SOAL LATIHAN OLIMPIADE MATEMATIKA DALAM BAHASA INGGRIS - Arsip MKKS

MATHCOUNTS
1983-84
INDIVIDUAL ROUND
Problems 1 and 2
Time:

1.

4 Minutes

I n s e r t ( ) t o make t h e f o l l o w i n g
expression t r u e .

2 * 1 + 2 - 3 - 2 . 2 - 1 = 1 2

2.

A j o b pays $12 per hour, 1k times t h a t
r a t e f o r work done over 30 hours and
twice t h e o r i g i n a l r a t e f o r work done
above 50 hours. How much i s a person

p a i d f o r 75 hours work?

Name

MATHCOUNTS
1983-84

INDIVIDUAL ROUND
Problems 3 and 4
rime:

4 Minutes

Name

3.

The t o t a l s u r f a c e area o f a cube i s 150 cm2.
i s t h e volume i n cm3 o f t h e cube?

What

4.

F i n d t h e sum o f a l l o f t h e d i g i t s o f t h e f i r s t 37
whole numbers.

MATHCOUNTS
1983-84
INDIVIDUAL ROUND

Problems 5 and 6
Time:

5.

4 Minutes

Name

Two angles are supplementary. If the measure of one
angle is 30 more than twice the other, what is the
number of degrees in the measure of the greater angle?

6. What is the largest 3-digit number divisible by both
9 and 7?

MATHCOUNTS
1983-84
INDIVIDUAL ROUND
Problems 7 and 8
Time:

4 Minutes

Name

7.

The product o f two consecutive n a t u r a l numbers i s

1056. Find t h e sum o f these 2 numbers.

8.

The s i d e o f a square measures 8 cm. I f t h e perimeter
o f t h e square i s decreased by 8 cm, by how many cm2
i s t h e area o f t h e square decreased?

MATHCOUNTS
1983-84

INDIVIDUAL ROUND
Problems 9 and 10
Time:

9.

10.

4 Minutes

Name

How many f a c t o r s o f 4000 a r e p e r f e c t squares?

C i r c l e w i t h c e n t e r A and c i r c l e w i t h c e n t e r B are
shown. I f A 6 i s 6 cm, f i n d t h e area o f t h e shaded
r e g i o n . L e t T = 3.14.