AASA 6th Grade Math 3

Question 1

What is the greatest common factor (GCF) of 24 and 36?

Accepted Answer

12

Answer

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. The greatest common factor is 12.

Question 2

A recipe calls for 2/3 cup of sugar. If Elena wants to make 1.5 times the recipe, how much sugar does she need?

Accepted Answer

1 cup

Answer

2/3 × 1.5 = 2/3 × 3/2 = 6/6 = 1 cup.

Question 3

A coordinate plane shows point P at (−2, 5). If point P is reflected across the x-axis, what are the new coordinates?

Accepted Answer

(−2, −5)

Answer

Reflecting across the x-axis changes the sign of the y-coordinate. So (−2, 5) becomes (−2, −5).

Question 4

What is the median of the data set: 8, 3, 12, 7, 5?

Accepted Answer

7

Answer

Arranged in order: 3, 5, 7, 8, 12. The middle value is 7.

Question 5

A car travels 180 miles in 3 hours. At this rate, how far will the car travel in 5 hours?

Accepted Answer

300 miles

Answer

Rate = 180 ÷ 3 = 60 miles per hour. Distance in 5 hours = 60 × 5 = 300 miles.

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