6th and 7th Grade Sample Quiz 1
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Welcome to the SelectiveMath Sample Question Showcase!
Each individual quiz contains less than 10 questions and takes only a few minutes to complete.
Instructions: Read the questions carefully. Feel free to use a scratch pad to work out your answers. When you think that you know the answer, click on the appropriate button. Then click the “Show Answer and Next Question” button. You will be given a detailed explanation on how you could have solved the problem. At that point you can move on to the next question.
At the end of the quiz, you’ll be given your final score out of 100 points.
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Question 1 of 9
1. Question
At South Carroll High School’s class president elections, Jane Smith received of the vote, and John Jones received of the vote. What fraction of students voted for neither Jane Smith nor John Jones?
a. b. c. d. e.
Correct
Your answer of d. was correct.
Solution: d.
Since the question says “neither” you should add the fractions and the subtract the result from 1. Find the common denominators: = and = , add these fractions together to get , then 1 – = – = .
Incorrect
Your answer was incorrect.
Correct answer is: d.Solution: d.
Since the question says “neither” you should add the fractions and the subtract the result from 1. Find the common denominators: = and = , add these fractions together to get , then 1 – = – = .

Question 2 of 9
2. Question
In Ms. Jeffries’ class, of the students have brown hair. If of the brownhaired students are girls, what fraction of the students are brownhaired boys?
a. b. c. d. e. none of the above
Correct
Your answer of d. was correct.
Solution: d.
Multiply the portion of students that have brown hair by the portion that are boys to get . Since of the brownhaired students are girls, must be boys.
Incorrect
Your answer was incorrect.
Correct answer is: d.Solution: d.
Multiply the portion of students that have brown hair by the portion that are boys to get . Since of the brownhaired students are girls, must be boys.

Question 3 of 9
3. Question
Jeremy wants to lose 10 pounds to reach his ideal weight. Each week he loses of a pound. How many weeks will it take him to reach his ideal weight?
Correct
Your answer of c was correct.
Solution: c. 14.
Convert 10 to an improper fraction and divide by : × = 14.
Remember to cancel before you multiply out!
Incorrect
Your answer was incorrect.
Correct answer is: cSolution: c. 14.
Convert 10 to an improper fraction and divide by : × = 14.
Remember to cancel before you multiply out!

Question 4 of 9
4. Question
If the length of each side of each side of a square is doubled, how does the area change?
Correct
Your answer of d. quadrupled was correct.
Solution: d. quadrupled.
Pick numbers. If the side of the square is 2, the area is 2^{2} or 4. If the side is doubled, the new side is 4. Then the new area is 4^{2} or 16.
Incorrect
Your answer was incorrect.
Solution: d. quadrupled.
Pick numbers. If the side of the square is 2, the area is 2^{2} or 4. If the side is doubled, the new side is 4. Then the new area is 4^{2} or 16.

Question 5 of 9
5. Question
Ari, Bill, Charlie and David sit in a four seat car. How many ways can this be done?
Correct
Your answer of b. 24 was correct.
Solution: b. 24
The answer is 4!
Because 4 × 3 × 2 × 1 = 24. First put Ari in the car. There are 4 places for him. Once he’s there, there are 3 places for Bill and so on.Incorrect
Your answer was incorrect.
Solution: b. 24
The answer is 4!
Because 4 × 3 × 2 × 1 = 24. First put Ari in the car. There are 4 places for him. Once he’s there, there are 3 places for Bill and so on. 
Question 6 of 9
6. Question
Farmer Joe has a rectangular field that is 900 yards by 1,200 yards. He splits the field into 3 congruent rectangles. Since there are 2 ways to accomplish this, what is the positive difference between the perimeters of the possible smaller rectangles?
Correct
Your answer of c. 400 was incorrect.Solution: c. 400.
Here are the two possible ways that Farmer Joe might divide his field:
Incorrect
Your answer was incorrect.
Correct answer is: c. 400Solution: c. 400.
Here are the two possible ways that Farmer Joe might divide his field:

Question 7 of 9
7. Question
Jonathan makes $500/week. His generous boss decides to give him a 500% raise. What is Jonathan’s new salary?
Correct
Your answer of e. $3,000/week was correct.Solution: e. $3,000/week.
A 500% raise means that Jonathan receives a raise of 5 × $500 = $2,500.
Add this raise to his original salary to get $500 + $2,500 = $3,000.Incorrect
Your answer was incorrect.
Correct answer is: e. $3,000/weekSolution: e. $3,000/week.
A 500% raise means that Jonathan receives a raise of 5 × $500 = $2,500.
Add this raise to his original salary to get $500 + $2,500 = $3,000. 
Question 8 of 9
8. Question
Jane flips 4 coins. What is the probability that she gets exactly 2 heads and 2 tails?
a. b. c. d. e.
Correct
Your answer of d. was correct.Solution: d.
Each coin has 2 sides The number of outcomes = 2^{4} = 16. There are 6 ways to get exactly 2 heads and 2 tails: HHTT, HTHT, HTTH, THHT, THTH, TTHH, so = .
Incorrect
Your answer was incorrect.
Correct answer is: d.Solution: d.
Each coin has 2 sides The number of outcomes = 2^{4} = 16. There are 6 ways to get exactly 2 heads and 2 tails: HHTT, HTHT, HTTH, THHT, THTH, TTHH, so = .

Question 9 of 9
9. Question
If , which of the following is true?
I. f(16) + f(9) = f(16 + 9)
II. f(16) + f(9) > f(16 + 9)
III. f(16) x f(9) = f(16 x 9)
Hint: Plug in the given numbers to find the values!
Correct
Your answer of c. II and III only was correct.The answer is c. II and III only.
f(16) = 4, f(9) = 3, f(16 + 9) = f(25) = 5; f(16 × 9) = f(144) = 12. Therefore only II and II are valid.
Incorrect
Your answer was incorrect.
Correct answer is: c. II and III onlyThe answer is c. II and III only.
f(16) = 4, f(9) = 3, f(16 + 9) = f(25) = 5; f(16 × 9) = f(144) = 12. Therefore only II and II are valid.