Shsat Practice Quiz 3

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Victoria Ball
V
Victoria Ball
Community Contributor
Quizzes Created: 1 | Total Attempts: 499
| Attempts: 499 | Questions: 11
Please wait...
Question 1 / 11
0 %
0/100
Score 0/100
1. In a foreign language, "nyeer cog joch" means "big yellow taxi," "shaw joch" means "big house," and "nyeer deniro" means "taxi driver."Which word means yellow? 

Explanation

Based on the given information, "nyeer cog joch" means "big yellow taxi" and "shaw joch" means "big house." Since "cog" is the only word that appears in the phrase "nyeer cog joch" and does not appear in any other phrases, it can be inferred that "cog" means "yellow."

Submit
Please wait...
About This Quiz
Multi Step Problems Quizzes & Trivia

SHSAT Practice Quiz 3 assesses mathematical reasoning and problem-solving skills. It features questions on fractions, probabilities, and age-related problems, tailored for SHSAT preparation. This quiz helps learners sharpen... see moretheir mathematical acumen in a structured format. see less

2. What is product of the square root of 9 and the square root of 49?

Explanation

The product of the square root of 9 and the square root of 49 can be calculated by multiplying the two square roots together. The square root of 9 is 3, and the square root of 49 is 7. Therefore, the product of the two square roots is 3 * 7 = 21.

Submit
3. If #x = x/4, what is the product of #5 and #8?

Explanation

To find the product of #5 and #8, we need to substitute the values of #5 and #8 into the equation #x = x/4.
#5 = 5/4 = 1.25
#8 = 8/4 = 2
Now, we can multiply #5 and #8: 1.25 * 2 = 2.5. Therefore, the product of #5 and #8 is 2.5.

Submit
4. Lance is 39 years old.  Ted is 22 years old.  Rose is 45 years old.  How old is Eric if the mean age of the four friends is 33.5?

Explanation

The mean age of the four friends is calculated by adding up their ages and dividing by the number of friends. In this case, the sum of their ages is 39 + 22 + 45 + Eric's age. Since the mean age is given as 33.5, we can set up the equation (39 + 22 + 45 + Eric's age) / 4 = 33.5. Solving this equation, we find that Eric's age is 28.

Submit
5. Julie is half as old as Benita.  If Benita will be 24 years old in 8 years, how old was Julie 3 years ago?

Explanation

If Benita will be 24 years old in 8 years, it means that currently Benita is 24 - 8 = 16 years old. Since Julie is half as old as Benita, Julie is 16 / 2 = 8 years old. Therefore, 3 years ago, Julie was 8 - 3 = 5 years old.

Submit
6. What is the greatest common factor of 135 and 210?

Explanation

The greatest common factor (GCF) is the largest number that divides evenly into both numbers. To find the GCF of 135 and 210, we can list the factors of each number and find the largest one they have in common. The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. The largest factor they have in common is 15, so the GCF of 135 and 210 is 15.

Submit
7. All actors are friendly.Some writers are actors.No doctor is a writer.If all of the above statements are true, which of the following must also be true? 

Explanation

The given statements imply that all actors are friendly and some writers are actors. Therefore, it can be concluded that some friendly people are writers, as the actors who are friendly can be considered as friendly people, and some of them are also writers according to the given information.

Submit
8. Cody has a box of cereal.  On Monday, he ate 1/7 of the cereal.  On Tuesday, he ate 1/6 of the remaining cereal.  What fraction of the cereal is now left in the box?

Explanation

Cody ate 1/7 of the cereal on Monday, which means that 6/7 of the cereal is still left. On Tuesday, he ate 1/6 of the remaining cereal, which is 1/6 * 6/7 = 1/7 of the total cereal. Therefore, after Tuesday, there is 6/7 - 1/7 = 5/7 of the cereal left in the box.

Submit
9. Tia has a box containing 15 blue marbles, 12 green marbles, 7 red marbles, and 1 white marble.  Tia removed 8 marbles, 6 of which were blue.  If she removes one more marble at random, what is the probability that it will be blue?

Explanation

Tia initially had a total of 15 + 12 + 7 + 1 = 35 marbles in the box. She removed 8 marbles, 6 of which were blue. After removing 8 marbles, there are now 35 - 8 = 27 marbles left in the box. Out of these 27 marbles, there are still 15 blue marbles remaining. Therefore, the probability of randomly selecting a blue marble is 15/27, which simplifies to 5/9.

Submit
10. Melissa uses 3/5 as much water as Neil to water her plants.  If Melissa uses 4 and 1/3 gallons of water, how much does Neil use?

Explanation

If Melissa uses 3/5 as much water as Neil, and Melissa uses 4 and 1/3 gallons of water, we can set up a proportion to find out how much Neil uses. Let's call Neil's water usage "x". The proportion would be (3/5)x = 4 and 1/3. To solve for x, we can multiply both sides of the equation by the reciprocal of 3/5, which is 5/3. This gives us x = (4 and 1/3) * (5/3) = 21/3 = 7. Therefore, Neil uses 7 gallons of water. Since Neil uses 7 gallons and 2/9 gallons is less than 1 gallon, the correct answer is 7 and 2/9 gallons.

Submit
11. A group of tourists is being led through a famous cathedral by a guide.  One family of four is Japanese, but at least three other tourists in the group are not.  All but five of the group are Americans.  What is the least number of tourists that can be in this group?

Explanation

The least number of tourists that can be in this group is 7. This is because there are at least three tourists who are not Japanese, which means there are at least three non-Japanese tourists in addition to the Japanese family of four. Additionally, all but five of the group are Americans, which means there are at least two non-American tourists in the group. Therefore, the minimum number of tourists in the group is 7.

Submit
View My Results

Quiz Review Timeline (Updated): Mar 20, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jul 24, 2014
    Quiz Created by
    Victoria Ball
Cancel
  • All
    All (11)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
In a foreign language, "nyeer cog joch" means "big...
What is product of the square root of 9 and the square root of 49?
If #x = x/4, what is the product of #5 and #8?
Lance is 39 years old.  Ted is 22 years old.  Rose is 45...
Julie is half as old as Benita.  If Benita will be 24 years old...
What is the greatest common factor of 135 and 210?
All actors are friendly.Some writers are actors.No doctor is a...
Cody has a box of cereal.  On Monday, he ate 1/7 of the...
Tia has a box containing 15 blue marbles, 12 green marbles, 7 red...
Melissa uses 3/5 as much water as Neil to water her plants.  If...
A group of tourists is being led through a famous cathedral by a...
Alert!

Advertisement