SAT数学考试题目分享

>>SAT数学：SAT数学考试题目分享

1、Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A. 5 : 1    B. 10 : 5   C. 15 : 2    D. 20 : 2    E. 25 : 2

Correct Answer:E

Explanation:

Indian stamps are common to both ratios. Mulltiply both ratios by factors such that the Indian stamps are represented by the same number. US : Indian = 5 : 2, and Indian : British = 5 : 1. Multiply the first by 5, and the second by 2.

Now US : Indian = 25 : 10, and Indian : British = 10 : 2 Hence the two ratios can be combined and US : British = 25 : 2

2、Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?

A. 4    B. 7   C. 8   D. 12    E. it cannot be determined from the information given.

Correct Answer:D

Explanation:

If two sets of four consecutive integers have one integer in common, the total in the combined set is 7., and we can write the sets as n + (n + 1) + (n + 2) + (n + 3 ) and (n + 3) + (n + 4) + (n + 5) + (n + 6) Note that each term in the second set is 3 more than the equivalent term in the first set. Since there are four terms the total of the differences will be 4 x 3 = 12

3、A right circular cylinder has height 6 and volume 54 times pi. What is the circumference of its base?

A. 2 times pi   B. 3 times pi   C. 6 times pi   D. 9 times pi   E. 18 times pi

Correct Answer:C

Explanation:

The volume of a cylinder with radius r and height h is equal to pi times (r^2) times h. Therefore, pi times (r^2) times (6) = 54 times pi and r^2 = 9, so the radius of the cylinder is 3. The circumference of a circle with radius r is equal to 2 times pi times r; therefore, the circumference of the base is equal to 6 times pi.

4、Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required?

A. 10    B. 15    C. 20    D. 25   E. 30

Correct Answer:A

Explanation:

20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour.This means if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers.

5、A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?

A. 2.5π    B. 3π    C. 5π    D. 4π   E. 10π

Correct Answer:C

Explanation:

Draw the diagram. The diagonal of the rectangle is the diameter of the circle. The diagonal is the hypotenuse of a 3,4,5 triangle, and is therefore, 5. Circumference = π.diameter = 5π

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