GOTM - Math Grade 6 Placement Test
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1. Three fractions have a common denominator of 28. If one of them has denominator 2 and the other has denominator 14, what is a possible value for the denominator of the third fraction?
4 points
1
2
4
7
None of the above
Clear selection
2. Which of the following statements is correct?
4 points
Two irreducible fractions can form a proportion.
Two equivalent fractions form a proportion.
One or more equivalent fractions form a proportion.
Two reciprocal fractions form a proportion.
Two fractions that cross-multiply are equal to a proportion.
Clear selection
3. Find x if 15/x=3/91
4 points
Your answer
4. A vehicle travels from M to N in 3.5 hours and returns on the same route in 5 hours. If its average speed was 40 mph, what is the distance between M and N? Express your answer as a number of miles.
4 points
Your answer
5. An analog clock (clock with hour and minute hands) shows 3:30. If the hands are reflected across a vertical line passing through the center of the clock, what time will it show?
4 points
Your answer
6. Adding a number with its reciprocal yields the answer 50/7. What is the number that was used?
4 points
Your answer
7. An odd number is divided by 8. In the quotient, how many non-zero digits are there after the decimal point?
4 points
1
2
3
4
There can be any number of non-zero decimal digits, depending on the odd number that we divide.
Option 6
Clear selection
8. Ursula bakes cookies for a party. She bakes 20 cookies at a time on a tray for 20 minutes. Then it takes her 10 minutes to remove the baked cookies and fill the tray with raw cookies to bake. Then she bakes another batch, and so on. If she keeps working at the same pace, how long will it take her to bake 400 cookies? Express your answer in minutes.
4 points
Your answer
9. What is the result of the first operation that must be performed when evaluating the expression: 30-((24-8)/4)?
4 points
2
4
6
16
26
Clear selection
10. Tanner multiplies -14 by -7 and Henry divides -14 by -7. Assuming they worked correctly, what is the sum of their two results?
4 points
Your answer
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