olimpiade+matematika+smp
TRANSCRIPT
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1. A rectangle and a semicircle are drawn as follows,so that AB = 4 and AC = 1.Find BD.
A. 17 B. 15
C. √17
D. √15
E. None of these
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The figure shown is constructed of 6 squares each havingside length 1. What is the area of the
shaded portion? (A) 3 (B) 2√3 (C) 4 (D) 3√2 (E) 4,5
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3. George washes a car in 30 minutes and Marie washes the same car in 45 minutes. How many minutes will it take both working together to was the car?A. 25B. 20C.37,5D.15E. 18
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4. How many zeros appear at the end of the product 1 × 2 × 3 × 4 ×… × 50 ?
(A) 5 (B) 10(C) 12 (D) 13 (E) None of these
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5. I “let my fingers do the walking” when I dial my phone, which has the following arrangement of keys:
1 2 34 5 67 8 9
If the distance from 1 to 2 or from 1 to 4 is 1 unit, then how many units do my fingers “walk” when I dial my phone number 654-9873?
A. 3+2√2 +5B. 3+3√2 +5C. 4+2√2 +5D. 3+√2+2√5E. 4+√2+2√5
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6. Diketahui
3a=4, 4b=5, 5c=6, 6d=7, 7e=8, dan 8f=9.Maka nilai abcdef adalah…A. 1B. 2C. √6
D. 3
E. 10/3