Math

Question 1

1) In an omelet made of only cheese and eggs, the ratio of ounces of cheese to omelette is 2 to 7. How many ounces of egg are needed to make the jumbo 21-ounce omelet?
a) 21
b) 15
c) 12
d) 6

Answer 1

15

Question 2

Which of the following is the additive inverse element of 3+ 2i?
 -3 -2i	
 3 –2i	
 3 + 2i	
 - 3 + 2i

Answer 2

-3-2i

Question 3

Which of the following describes the most helpful first step(s) in determining whether a given number is prime or composite?

• Find the square root of the nearest integer that is the perfect square closest to the given number.
• Multiply the smallest prime numbers (2, 3, 5, 7…) together to see if they produce the given number.
• Divide the given number by 2, and then by 3, and then by 5 and so on, continuing through all the prime numbers smaller than the given number.
• Divide the given number in half. If the answer is a decimal, the number is prime.

Answer 3

Find the square root of the nearest integer that is the perfect square closest to the given number.

Question 4

13) Which of the following is the product of -2 + 4i  and 1+ 3i in simplest form?
 – 2 +10i	
 – 2 +12i 2 – 6i	
 –14 –2i
 10 – 2i

Answer 4

–14 –2i

Question 5

What is the greatest odd factor of 2,496?
 13	
 3	
 27	
 39

Answer 5

39

Question 6

Which of the following numbers is neither prime nor composite?
 4	
 3	
 2	
 1

Answer 6

1

Question 7

Which of the following is the greatest common divisor of 3300 and 1050?
300
150
30
2

Answer 7

150

Question 8

1) Which of the following is not an arithmetic sequence?
5, 2, 1, 4, 7, 10, 13, 16, -19…
2.13, 3.34, 4.55, 5.76, 6.97, 8.18, 9.39, 10.6, 11.81…
4, 4, 4, 4, 4, 4, 4, 4, 4…
1, 1, 2, 3, 5, 8, 13, 21, 34…

Answer 8

1, 1, 2, 3, 5, 8, 13, 21, 34… because no pattern difference is the same between the numbers

Question 9

4) The number of people at a concert rose steadily from the time the doors opened until the main act began performing. When the doors opened at 2:00 PM, there were 158 people present. As the main act took the stage at 8:00 PM, there were 482 people at the concert. How many people were at the venue at 4:00 PM?
 266
 200	
 304	
 320

Answer 9

266

Question 10

On a given day, Mercury, Venus, and Earth all happen to align. That day, Venus is 26,028,957 miles from Earth. On the same day, Mercury is 30,975,143 miles from Venus. Which of the following is the best estimate of the distance from Earth to Mercury on that day?
 57,000,000 miles
 5,000,000 miles	
 56,000,000 miles	
 4,000,000 miles

Answer 10

57,000,000 miles

Question 11

8) A triangle has coordinate points A (-2, -1), B (-6, -1), and C (-4, 5). If it is rotated 90° clockwise about point A, what are the new coordinates of point C?
 (-2, 3)	
 (-2, 1)	
 (4, 5)	
 (4, 1)

Answer 11

(4, 1)

Question 12

What is the size of the angle between the two lines 3x-2y+1=0 and x-3y=0
 38 degrees	
 37 degrees
 63 degrees	
 115 degrees

Answer 12

37 degrees

Question 13

Seven students have entered projects in the regional science fair. If only 1 first-place, 1 second-place, and 1 third-place ribbon are awarded, and no project can win more than one ribbon, how many different combinations are possible for winners of the first-, second-, and third-place ribbons?
 210
 18	
 21	
 343

Answer 13

210