SAT 10 Test 4 Math 11-15

SAT 10 Test 4 Math 11-15

by Christy Kessler

Multiple Choice

List A: 1 2 3 4 5 6

List B: 2 3 3 4 4 5

The table above shows two lists of numbers. Which of the following is a true statement comparing list A and list B ?

• The means are the same, and the standard

  deviations are different.

• The means are the same, and the standard

  deviations are the same.

• The means are different, and the standard

  deviations are different.

• The means are different, and the standard

  deviations are the same.

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​The mean is the average of the numbers. Add them up and divided by the number of values to get the mean.

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​The standard deviation is how spread out the numbers are. It almost like the range.

Multiple Choice

A book was on sale for 40% off its original price. If the sale price of the book was $18.00, what was the original price of the book? (Assume there is no sales tax.)

• $7.20

• $10.80

• $30.00

• $45.00

​Correct Answer: $30.00

Let x represent the original price of the book.

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Then, 40% off of x is (1 − 0.40)x, or 0.60x.

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Since the sale price is $18.00, then 0.60x = 18.

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Dividing both sides of this equation by 0.60 yields x = 30.

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Therefore, the original price of the book was $30.​

​Q 13 and 14 refer to

​Three colonies of insects were each treated with a different pesticide over an 8-week period to test the effectiveness of the three pesticides. Colonies A, B, and C were treated with Pesticides A, B, and C, respectively. Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph shows the insect counts for each of the three colonies 0, 2, 4, 6, and 8 weeks after the initial treatment.

Multiple Choice

Which of the following colonies showed a decrease in size every two weeks after the initial treatment with pesticide?

I. Colony A

II. Colony B

III. Colony C

• I only

• III only

• I and II only

• I, II, and III

​Correct Answer: I and II Only

According to the bar graph, the number of insects in colony A at​ week 0 was approximately 80, and this number decreased over each respective two-week period to approximately 50, 32, 25, and 18. Similarly, the graph shows that the number of insects in colony B at week 0 was approximately 64, and this number also decreased over each respective two-week period to approximately 60, 40, 38, and 10. Finally, the graph shows that the number of insects in colony C at week 0 was approximately 58; however, the number of insects increased in week 2, to approximately 140. Therefore, only colony A and colony B showed a decrease in size every two weeks after the initial treatment.

Multiple Choice

Of the following, which is closest to the ratio of the

total number of insects in all three colonies in week 8 to the total number of insects at the time of initial

treatment?

• 2 to 5

• 1 to 4

• 3 to 5

• 1 to 2

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​According to the bar graph, the total number of insects in all three colonies in week 8 was approximately 20 + 10 + 50 = 80, and the total number of insects at the time of initial treatment (week 0) was approximately 80 + 65 + 55 = 200. The ratio of these approximations is 80 to 200, which is equivalent to 2 to 5.

Multiple Choice

A right circular cone has a volume of 24π cubic

inches. If the height of the cone is 2 inches, what

is the radius, in inches, of the base of the cone?

• $$2\sqrt[]{3}$$  

• 6

• 12

• 36

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