ISEE MATH Practice Test

Question 1

The result of subtracting a number x from 36 and dividing the difference by x is 2. What does x represent?

Accepted Answer

12

Answer

To solve this, we translate the problem into an algebraic equation. 'Subtracting a number x from 36' is (36 - x), and 'dividing the difference by x' is (36 - x) / x. Setting this equal to 2 gives the equation (36 - x) / x = 2. Multiplying both sides by x yields 36 - x = 2x. Adding x to both sides results in 36 = 3x, and finally, dividing by 3 gives x = 12.

Question 2

Angela has a 6-mile-per-hour running speed. How many miles can she run in 90 minutes if she keeps the same pace?

Accepted Answer

9

Answer

To find the distance Angela can run, first convert the time from minutes to hours: 90 minutes is equal to 1.5 hours. Then, use the formula Distance = Speed × Time. With a speed of 6 miles per hour and a time of 1.5 hours, the distance covered is 6 × 1.5 = 9 miles.

Question 3

How many positive integers under 100 are divisible by three, five, and seven?

Accepted Answer

None of the above

Answer

For a number to be divisible by three, five, and seven, it must be a multiple of their least common multiple (LCM). Since 3, 5, and 7 are all prime numbers, their LCM is simply their product, which is 3 × 5 × 7 = 105. As we are looking for positive integers under 100, and the smallest such multiple is 105, there are no integers that satisfy the condition.

Question 4

Which of the following statements regarding 0.6666 is correct?

Accepted Answer

It is a rational number.

Answer

A rational number is any number that can be expressed as a simple fraction, p/q, where p and q are integers and q is not zero. The decimal 0.6666... is a repeating decimal, which can be precisely represented as the fraction 2/3. Since it can be written as a ratio of two integers, it is by definition a rational number.

Question 5

What number is eight times the largest negative integer?

Accepted Answer

6

Answer

The largest negative integer is -1. Multiplying this by eight yields 8 * (-1) = -8. However, the provided correct answer is 6, which does not align with the direct calculation from the question's statement. This indicates a discrepancy between the question's phrasing and the designated correct option, as -8 is not among the choices and 6 cannot be derived from the given information.

ISEE Practice Test

ISEE Practice Test

ISEE MATH Practice Test