Answer: D
Solution:
The two lines can both intersect the circle twice, and can intersect each other once, so 2+2+1=5.
Answer: A
Solution:
You cannot use more than 4 $5 bills, but if you use 3 $5 bills, you can add another $2 bill to make a combination. You can also use 1 $5 bill and 6 $2 bills to make another combination. There are no other possibilities, as making $17 with 0 $5 bills is impossible, so the answer is 2.
Answer: C
Solution:
The first 4 positive even numbers are 2, 4, 6, and 8. Their average is 5
Answer: B
Solution:
The palindrome right after 2002 is 2112. 2*1*1*2=4.
Answer: C
Solution:
Days of the week have a cycle that repeats every 7 days. Thus, after 100 cycles, or 700 days, it will be Saturday again. Six more days will make it Friday.
Answer: A
Solution:
The change in the water volume has a net gain of 20-18=2 millimeters per minute. The birdbath's volume increases at a constant rate until it reaches its maximum and starts overflowing to keep a constant volume. This is best represented by graph A
Answer: E
Solution:
From the bar graph, we can see that students chose candy E. There are 6+8+4+2+5 total students .The percent is 5/25=20%
Answer: D
Solution:
France and Spain are European countries. The number of '80s stamps from France is 15 and the number of '80s stamps from Spain is 9. 15+9=24
Answer: B
Solution:
Brazil: (4+7)*6 cents
Peru: (6+4)*4 cents;
Total: 106 cents.
Answer: E
Solution:
Total: 12*6+12*6+6*4+13*5=233;
Average: 233/(12+12+6+13)=5.4
Answer: C
Solution:
7th: 7*7;
6th : 6*6;
7*7-6*6=13.
Answer: B
Solution:
1-1/3-1/2=1/6 ;
Answer: E
Solution:
Carrie: 2L*2W*2H=8*(L*W*H) =8*125=1000.
Answer: B
Solution:
Assume the price was $100. We can just do 100*0.7*0.8=56. and then do 100-56=44. That is the discount percentage.
Answer: E
Solution:
A has 5 unit squares; B has 5 unit squares; C has 5 unit squares; D has 4.5 unit squares; E has 5.5 unit squares;
Answer: E
Solution:
W=1/2 * 3*4=6; X=1/2 *3*3=4.5; Y=1/2*4*4=8; Z=1/2*5*5=12.5;
Answer: C
Solution:
Let a be the number of Problems she answers correctly and b be the number she answered incorrectly.
a+b=10;
5*a-2*b=29;
So, a=7.
Answer: E
Solution:
Let x is the amount she skated on day 9,
Converting into minutes and solve the equation: 75*5+90*3+x=85*9; x=120 (minutes)
Answer: D
Solution:
Numbers with exactly one zero have the form a0b or ab0; where a <>0, b<>0. There are 9*1*9+9*9*1=162 such numbers.
Answer: D
Solution:
The shaded region is a right trapezoid. Assume that yz=8, then AC=2;
About the shaded trapezoid: b1=1/2 AB=1/2* 1/2*YZ=2; b2=1/2* YZ=4;
Height=1/2*XC=1; so the area of the shaded trapezoid is : (2+4)*1/2=3.
Answer: E
Solution:
4 heads: 1;
3 heads: 4!/(3!*1!)=4;
2 heads: 4!/(2!*2!)=6;
1+4+6=11;
There are total 2*2*2*2=16 possible outcomes. So, the answer is 11/16.
Answer: C
Solution:
Count the number of sides that are not exposed, where a cube is connected to another cube and subtract it from the total number of faces. There are 5 places with two adjacent cubes, covering 10 sides, 6*6=36 faces. The exposed surface area is 36-10=26 faces.
Answer: B
Solution:
The same pattern is repeated for every 6*6 tile. Looking closer, there is also symmetry of the top 3*3 square, so the fraction of the entire floor in dark tiles is the same as the fraction in the square. Counting the tiles, there are 4 dark tiles, and 9 total tiles, giving a fraction of 4/9.
Answer: B
Solution:
12 Orange get 6*8=48 ounces of juice;
12 pear get 4*8=32 ounces of juice;
The percent of pear juice: 32/(32+48)=40%。
Answer: B
Solution:
Since Ott gets equal amounts of money from each friend, we can say that he gets x dollars from each friend. This means that Moe has 5x dollars, Loki has 4x dollars, and Nick has 3x dollars. The total amount is 12x dollars, and since Ott gets 3x dollars total, it is 3x/12x=1/4.
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