1003066904
Level:
B
Find the number by \( 2{\small{{}^\text{o}\mkern-5mu/\mkern-3mu_\text{oo}}}\) bigger than \( 100 \).
\( 100.2 \)
\( 102 \)
\( 120 \)
\( 100.002 \)
B
1003066903
Level:
B
The number of members of a certain golf club was increasing for the last three years by \( 20\% \) a year. How many members were there in the club three years ago, assuming that the number of them amounted to \( 216 \) a year ago?
\( 150 \) members
\( 200 \) members
\( 120 \) members
\( 250 \) members
1003066902
Level:
B
One side of a rectangle was shortened by \( 10\% \) and the other was lengthened by \( 10\% \). What was the percentage change in the area of the rectangle?
it decreased by \( 1\% \)
it decreased by \( 20\% \)
it increased by \( 1\% \)
it did not change
1003066901
Level:
B
Two sides of a rectangle were shortened by \( 20\% \). What is the percentage change in the area of the rectangle?
it decreased by \( 36\% \)
it decreased by \( 40\% \)
it increased by \( 40\% \)
it decreased by \( 20\% \)
1003057910
Level:
B
The sum of the first \( n \) terms of an arithmetic sequence is \( 0 \), the common difference is \( 3 \) and the first term is \( -45 \). Find the \( n \).
\( 31 \)
\( 15 \)
\( 30 \)
\( 16 \)
\( 32 \)
1003057909
Level:
B
The \( 2 \)nd term of an arithmetic sequence is \( 100 \) and the common difference is \( -2 \). Choose the correct statement about the sum of the first \( 100 \) terms.
\( s_{100} > 200 \)
\( s_{100} > 0 \) and \( s_{100} < 200 \)
\( s_{100} < 0 \) and \( s_{100} > -100 \)
\( s_{100} < -100 \)
\( s_{100}=0 \)
1003057908
Level:
B
The \( 3 \)rd term of an arithmetic sequence is \( 2 \) and the \( 20 \)th term is \( 53 \). Find the sum of the first \( 13 \) terms.
\( 182 \)
\( 358 \)
\( 364 \)
\( 689 \)
\( 106 \)
1003057907
Level:
B
The sum of the first \( 25 \) terms of an arithmetic sequence is \( 700 \) and the first term is \( 4 \). Choose the incorrect statement about its common difference.
\( d \) is an odd number
\( d < 4 \)
\( d > 0 \)
\( d \) is a divisor of \( 48 \)
1003057906
Level:
B
The sum of the first \( 15 \) terms of an arithmetic sequence is \( 210 \) and the \( 15 \)th term is \( 7 \). Choose the correct formula of calculation of the first term.
\( a_1=\frac2{15}\cdot210-7 \)
\( a_1=\frac2{15}\cdot\frac{210}7 \)
\( a_1=\frac{15}2\cdot210-7 \)
\( a_1= \frac{210}7 \)
\( a_1=\frac2{15} (210-7) \)
1003041707
Level:
B
Four participants of a target shooting competition do hit the target with hitting probabilities: \( 0{.}80 \), \( 0{.}85\), \( 0{.}90 \) and \( 0{.}95 \). What is the probability that at least one of the participants does hit the target? Round the result to four decimal places.
\( 0{.}9999 \)
\( 0{.}9998 \)
\( 0{.}0057 \)
\( 0{.}0056 \)