Ouchi SAT Math

Algebra

100

If 30 percent of m is 40, what is 15 percent of m?

20

200

In 3(n-4) = 18, what is the value of n?

n=10

300

If n is any negative number, which of the following must be positive? (a) n/2 (b) 2n (c) n + 2 (d) n - 2 (e) 2 - n

(e) 2 - n

400

If the sum of the consecutive integers from -22 to x, inclusive, is 72, what is the value of x?

x = 25

500

If n and p are integers greater than 1 and if p is a factor of both n + 3 and n + 10, what is the value of p? (a) 3 (b) 7 (c) 10 (d) 13 (e) 30

(b) 7

Word Problems

100

If the absolute value of (2 - x) is less than 3, which of the following is a possible value of x? (a) 4 (b) 5 (c) 6 (d) 7 (e) 8

(a) 4

200

For a class ring, each senior can choose from 4 types of stones and 3 types of metals. How many combinations of a stone and a metal are there?

There are 12 possible combinations.

300

Kerry has a cordless telephone receiver that can operate within a range of 1000 feet from the telephone's base. Kerry takes the receiver from the base and walks 800 feet due north. From that point she walks due east and stops at the maximum range of the receiver. In which of the following directions can Kerry walk and still be within the range of the receiver? (I) Due north (II) due south (III) due west Your answer may be (I), (II), (III) or any combination of these.

(III) west

400

When the sum of a list of prices is divided by the average (arithmetic mean) of the prices, the result is k. What does k represent?

The number of prices.

500

A square and an equilateral triangle have equal perimeters. If the square has sides of length 3, what is the length of one side of the triangle?

4

roots & squares

100

Solve for x 5√100 = x

x = 50

200

The number that results when an integer is multiplied by itself CANNOT end in which of the following digits? (a) 1 (b) 4 (c) 5 (d) 6 (e) 8

(e) 8

300

The sum of 3a and the square root of b is equal to the square of the sum of a and b. Write the above statement as a mathematical expression.

3a + √b = (a + b)2

400

If (2x - 2)(2 - x) = 0, what are all the possible values of x? (a) 0 only (b) 1 only (c) 2 only (d) 1 and 2 only (e) 0, 1, and 2

(d) 1 and 2 only

500

If 18√18 = r√t, where r and t are positive integers and r is greater than t, which of the following could be the value of rt? (a) 18 (b) 36 (c) 108 (d) 162 (e) 324

(c) 108

ratios

100

The ratio 1.2 to 1 is equal to which of the following ratios? (a) 1 to 2 (b) 12 to 1 (c) 5 to 6 (d) 6 to 5 (e) 6 to 50

(d) 6 to 5

200

If k is a positive integer divisible by 3, and if k is less than 60, what is the greatest possible value of k?

57

300

A certain triangle has two angles that have the same measure. If the lengths of two of the sides of the triangle are 50 and 30, what is the least possible value for the perimeter of the triangle?

110

400

Sabrina cut a circular pizza into wedge shaped pieces. The tip of each piece is at the center of the pizza and the angle at the tip is always greater than 20 degrees but less than 30 degrees. What is one possible value for the number of pieces into which the pizza is cut?

Any of the following are correct: 13, 14, 15, 16, 17

500

After the first term, each term in a sequence is 3 greater than 1/3 of the preceding term. If t is the first term of the sequence and t is not 0, what is the ratio of the second term to the first term?

(t + 9)/3t

other

100

If n = 3p, for what value of p is n = p?

0

200

A number n is increased by 5 and the result is multiplied by 5. This result is decreased by 5. Finally, that result is divided by 5. In terms of n, what is the final result?

n + 4

300

How many integers in the set of all integers from 1 to 100, inclusive, are not the square of an integer?

90

400

Miguel noted that he is both the 12th tallest and the 12th shortest student in his class. If everyone in the class is of a different height, how many students are int he class?

23

500

There is the same number of boys and girls on a school bus when it departs from school. At the first stop, 4 boys get off the bus and nobody gets on. After the first stop, there are twice as many girls as boys on the bus. How many girls are on the bus?

8 girls