6th and 7th Grade Sample Quiz 2
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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 7
1. Question
Sue goes to a store with a $20 bill to buy a sweater. The sweater is normally $24, but is marked down 25%. If tax is 5%, how much change will she receive?
Correct
Your answer of c. $1.10 is correct.Solution: c. $1.10
25% of $24 = $6, so the discounted price is $18; 5% of $18.00 = $.90; $20.00 – $18.90 = $1.10, so this is what Sue received in change.
Incorrect
Your answer was incorrect.
Correct answer is: c. $1.10Solution: c. $1.10
25% of $24 = $6, so the discounted price is $18; 5% of $18.00 = $.90; $20.00 – $18.90 = $1.10, so this is what Sue received in change.

Question 2 of 7
2. Question
A group of children share 3,102 jelly beans equally. Which of the following could not be the number of children?
Correct
Your answer of d. 4 was correct.Solution: d. 4
The rule for divisibility by 4 is that the last 2 digits must be a multiple of 4 – but 2 is not divisible by 4, so 3,102 is not divisible by 4.
Incorrect
Your answer was incorrect.
Correct answer is: d. 4Solution: d. 4
The rule for divisibility by 4 is that the last 2 digits must be a multiple of 4 – but 2 is not divisible by 4, so 3,102 is not divisible by 4.

Question 3 of 7
3. Question
On a bookshelf, every 8th book is blue, every 9th book is green and every 10th book is red. The maximum number of books is:
Correct
Your answer of d. 39 was correct.Solution: d. 39.
The smallest “overlap” is the 40th book – which would mean that the 40th book would be blue and red and the same time – impossible so the maximum number must be 39.
Incorrect
Your answer was incorrect.
Correct answer is: d. 39Solution: d. 39.
The smallest “overlap” is the 40th book – which would mean that the 40th book would be blue and red and the same time – impossible so the maximum number must be 39.

Question 4 of 7
4. Question
What is the 337th term of this sequence: m, n, o, p, q, r, m, n, o, p, q, r?
Correct
Your answer of a. m was correct.Solution: a. m
When you divide 337 by 6 you get a reminder of 1. So the sequence repeats the first term – and m is the 1st term.
Incorrect
Your answer was incorrect.
Correct answer is: a. mSolution: a. m
When you divide 337 by 6 you get a reminder of 1. So the sequence repeats the first term – and m is the 1st term.

Question 5 of 7
5. Question
Which friend’s height increased by the largest %?
The chart below shows the increase in height of 5 friends in 4th grade and 5th grade.
Correct
Your answer of b. Violet and Theresa (a tie) was correct.
Solution: b. Violet and Theresa
Violet and Theresa both had an increase of 14.3%. Theresa’s increase was = = 14.3% and Violet’s increase was = = 14.3%.
Incorrect
Your answer was incorrect.
Solution: b. Violet and Theresa
Violet and Theresa both had an increase of 14.3%. Theresa’s increase was = = 14.3% and Violet’s increase was = = 14.3%.

Question 6 of 7
6. Question
Mr. Johnson’s class is buying gravel for a turtle tank. The gravel must cover the entire floor of the tank and have a depth of 2 inches. The tank is 1 ft. long and ft. wide. Each bag of gravel contains 60 cubic inches of gravel and costs $4 per bag. How much will it cost to buy the gravel?
Correct
Your answer of e. $24 was correct.Solution: e. $24
The volume of the gravel is 18 inches by 9 inches by 2 inches = 324 cubic inches. Divide 324 by 60 to get 5 plus bags – so you need to buy 6 bags to make sure that you have enough since you cannot purchase a fractional bag of gravel so 6 × $4 = $24.
Incorrect
Your answer was incorrect.
Correct answer is: e. $24Solution: e. $24
The volume of the gravel is 18 inches by 9 inches by 2 inches = 324 cubic inches. Divide 324 by 60 to get 5 plus bags – so you need to buy 6 bags to make sure that you have enough since you cannot purchase a fractional bag of gravel so 6 × $4 = $24.

Question 7 of 7
7. Question
The largest prime number less than 50 minus the smallest prime number more than 40 is squared.What is the result?
Correct
Your answer of c. 36 was correct.Solution: c. 36
(47 – 41)2 = 62 = 36.
Incorrect
Your answer was incorrect.Solution: c. 36
(47 – 41)2 = 62 = 36.