HSPT Quantitative Skills Practice Test 2

Julie has cats, fish, and frogs for pets. The number of frogs she has is 1 more than the number of cats, and the number of fish is 3 times the number of frogs. Of the following, which could be the total number of these pets?

In the triangle below, find the measure of angle X.

If the length of the side of the square is 84, what is the radius, r, of the circle in the figure below?

Apples are distributed, one at a time, into six baskets. The first  apple goes into basket one, the second into basket two, the third into basket three, and so on, until each basket has one apple. If this pattern is repeated, beginning each time with basket one, into which basket will the 74th apple be placed?

Which of the following is NOT a positive multiple of 9 + 3 ?

How many even integers are between −20/3 and 37/5 ?

m, 2m, 4m, . . . The first term in the sequence above is m, and each term thereafter is equal to twice the previous term. If m is an integer, which of the following could NOT be the sum of the first four terms of this sequence?

How many even integers are between −10 and 10?

A number is divided by four. The result is divided by three, for a final result of two. What was the original number?

15, 9, 27, 10, 14, 9, 20: The number 10 is to be added to the list above. Which of the following must be true about the median and mode of the new list compared to the original?