Math

What is the next number in the following sequence? A) 136 B) 110 C) 148 D) 135

A) 136

Find a counterexample for this statement: Every whole number greater than 10 is the sum of either 2 or 3 consecutive numbers. A) This statement is not true for 14. B) This statement is not true for 9. C) This statement is not true for 15. D) This statement is not true for 41.

A) This statement is not true for 14.

A 3 by 3 array of numbers is selected from a calendar. If the sum of these numbers is 180, what is the smallest number of the array?

B) 12

Jose had a herd of cattle. Then he bought more cattle so that his total number was 4times the original number. He was given 6 more cattle, he then sold half the herd, and finally lost 4 cattle. At this time Jose had 39 cattle left. How many cattle did he have at the start? A) 19 B) 20 C) 18 D) 21

B) 20

What kind of reasoning is used to form a conclusion which is based on a series of experiments? A) Deductive B) Inductive

B) Inductive

Describe the 15th figure by determining the numbers of tiles with each of the different colors.

B) The numbers of tiles of each color form the arithmetic sequence 4, 12, 20, 28, 36, 44...

What is the sum of consecutive numbers whole numbers beginning with 132 and continuing to and including 1780?A)1,576,443 B)1647 C)1,576,444 D)1648

C) 1,576,444

What is the sum of consecutive numbers that begin with 1, increase to 200, and then decrease to 1? A) 4,000 B) 20,000 C) 40,000 D) 2,000

C) 40,000

Describe the 15th figure by determining the total number of tiles in the figure.

C) 900

The third row of Pascal's triangle is 1, 3, 3, 1 and the 4th row is 1, 4, 6, 4, 1. What are the 1st 3 numbers in the 20th row of Pascal's triangle?

D) 1, 20, 190

The 3rd number in the third row of this triangular number pattern is 7. If this triangle of numbers is continued, what is the 3rd number in the 17th row?

D) 259

If an arithmetic sequence has a common difference of 7, and 3 is added to each term of the sequence, what is the common difference of the resulting sequence? A) 3 B) 4 C) 10 D) 7

D) 7

Solve the equation. 14 (x/3-12)=5x-192 A) x=216 B)x=8 C) x=72 D) x=14

Plug in C) x=72

Solve the equation. 18(x/9)-9(4x+6)/5 A) x=1 B) x=5.1 C) x=2.5 D) x=8.5

Plug in D) x=8.5

If this pattern continues, how many dots are in the 50th square? 1-1 A) 5101 2-5 B) 5001 3-13 C) 4901 4-25 D) 4801

x^2+(x-1)^2 C) 4901