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Test your math smarts on this New York state math regents exam. This is a sample of questions from the fifth-grade level.
Questions and Answers
1.
Ellen bought 3 pints of orange juice. How many cups of orange juice did she buy?1 pint = 2 cups
A.
2
B.
6
C.
12
D.
18
Correct Answer B. 6
Explanation Ellen bought 3 pints of orange juice. Since 1 pint is equal to 2 cups, we can calculate the number of cups by multiplying the number of pints by 2. Therefore, Ellen bought a total of 6 cups of orange juice.
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2.
Mona swims a race in 28.872 seconds. What is her race time rounded to the nearest tenth of a second?
A.
28.8
B.
28.87
C.
28.9
D.
28.97
Correct Answer C. 28.9
Explanation Mona's race time is rounded to the nearest tenth of a second. Since the hundredths place digit, which is 2, is less than 5, we round down the tenths place digit, which is 8, to 8. Therefore, the answer is 28.9.
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3.
Which expression is true?
A.
1/2 > 0.2
B.
1/2 > 0.5
C.
1/5 > 0.2
D.
1/5 > 0.5
Correct Answer A. 1/2 > 0.2
Explanation The expression 1/2 > 0.2 is true because 1/2 is equal to 0.5, which is greater than 0.2.
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4.
Stacie buys a rectangular palcemat that is 10 inches wide and 16 inches long. What is the perimeter of the placemat?perimeter of rectangle = (2 x length) + (2 x width)
A.
26 inches
B.
36 inches
C.
42 inches
D.
52 inches
Correct Answer D. 52 inches
Explanation The perimeter of a rectangle can be found by adding twice the length to twice the width. In this case, the length is 16 inches and the width is 10 inches. So, the perimeter would be (2 x 16) + (2 x 10) = 32 + 20 = 52 inches.
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5.
At Simon's Pet Store, 6% of the animals are lizards. What fraction of the animals are lizards?
A.
1/6
B.
1/60
C.
6/10
D.
6/100
Correct Answer D. 6/100
Explanation The fraction of animals that are lizards at Simon's Pet Store is 6/100. This is because 6% can be written as 6/100, where the numerator represents the number of lizards and the denominator represents the total number of animals.
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6.
Mr. Vincent asked students in a study group to write three correct degree measures for the interior angles of a triangle. Which list names correct degree measures for a triangle?
A.
45 degrees, 45 degrees, 45 degrees
B.
45 degrees, 90 degrees, 45 degrees
C.
90 degrees, 45 degrees, 90 degrees
D.
90 degrees, 90 degrees, 90 degrees
Correct Answer B. 45 degrees, 90 degrees, 45 degrees
Explanation The correct answer is 45 degrees, 90 degrees, 45 degrees. This is because the sum of the interior angles of a triangle is always 180 degrees. In this case, the angles provided add up to 180 degrees (45 + 90 + 45 = 180), making it a valid set of degree measures for a triangle.
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7.
Four students simplify the expression below.6 + 4 x 5 / 2Aimee's solution is 25, Dario's solution is 46, Jimmy's solution is 13, and Lani's solution is 16. Who simplified the expression correctly?
A.
Aimee
B.
Dario
C.
Jimmy
D.
Lani
Correct Answer D. Lani
Explanation Lani simplified the expression correctly. The expression follows the order of operations, which states that multiplication and division should be done before addition. Lani correctly multiplied 4 and 5, getting 20, then divided by 2, resulting in 10. Finally, she added 6 to get a solution of 16.
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8.
Which pattern follows the rule below?Multiply by 6.
A.
18, 36, 72, 144 . . .
B.
14, 84, 504, 510 . . .
C.
9, 54, 324, 972 . . .
D.
3, 18, 108, 648 . . .
Correct Answer D. 3, 18, 108, 648 . . .
Explanation The pattern in the sequence 3, 18, 108, 648 . . . is that each number is obtained by multiplying the previous number by 6.
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9.
Which fraction belongs in the box to make the expression true?1/2 < 7/10 < __
A.
1/4
B.
2/5
C.
4/5
D.
6/10
Correct Answer C. 4/5
Explanation The fraction 4/5 belongs in the box to make the expression true because it is greater than 7/10.
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10.
Pierre is making an apple crumb pie using the items below.Crumb Filling3/4 cub flour 4 cups sliced apples1/3 cup sugar 1/3 cup sugar1/4 cup butter 1/2 cup raisins
A.
7/12 cup
B.
2/6 cup
C.
3/4 cup
D.
2/3 cup
Correct Answer D. 2/3 cup
Explanation Pierre is making an apple crumb pie and needs to determine the amount of filling he needs. The given items list the measurements for the crumb and the filling. The amount of filling needed is 2/3 cup, as indicated by the measurements for the sliced apples, sugar, and raisins.
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11.
Nora measured the angles of a triangle. Two of the angles measured 20 degrees each. What was the measure of the third angle of Nora's triangle?
A.
20 degrees
B.
50 degrees
C.
140 degrees
D.
180 degrees
Correct Answer C. 140 degrees
Explanation The sum of the angles in a triangle is always 180 degrees. Since two of the angles in Nora's triangle are measured as 20 degrees each, the sum of these two angles is 40 degrees. Therefore, the measure of the third angle can be found by subtracting 40 degrees from 180 degrees, which gives us 140 degrees.
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12.
Which list could represent the four angle measures of a quadrilateral if one angle measures 125 degrees?
Explanation The given quadrilateral has two pairs of equal angles, which means it is a parallelogram. In a parallelogram, opposite angles are congruent. Since one angle measures 125 degrees, its opposite angle must also measure 125 degrees. Therefore, the correct answer is 55 degrees, 55 degrees, 125 degrees, 125 degrees.
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13.
Amanda is planting flower seeds in flowerpots. If she plants 144 seeds and she plants 6 seeds in each flowerpot, how many flowerpots will Amanda use?
A.
864
B.
138
C.
24
D.
22
Correct Answer C. 24
Explanation Amanda plants 6 seeds in each flowerpot. If she plants a total of 144 seeds, she will need to divide the total number of seeds by the number of seeds planted in each flowerpot. This can be calculated by dividing 144 by 6, which equals 24 flowerpots. Therefore, Amanda will use 24 flowerpots to plant all the seeds.
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14.
Each year a fifth-grade class holds a bake sale. The list below shows the number of cookies sold in the last 7 years. 21, 33, 61, 52, 48, 21, 58What is the mean (average) number of cookies sold in the past 7 years?
A.
21
B.
40
C.
42
D.
48
Correct Answer C. 42
Explanation The mean (average) number of cookies sold in the past 7 years is calculated by adding up all the numbers in the list and then dividing by the total number of years. In this case, the sum of the numbers is 294 (21 + 33 + 61 + 52 + 48 + 21 + 58 = 294). Since there are 7 years, the mean is 294 divided by 7, which equals 42. Therefore, the correct answer is 42.
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15.
In 1986, approximately 800,000 people attended a free concert at New York City's Central Park. How many 10 thousands are equal to 800,000?
A.
8
B.
80
C.
800
D.
8,000
Correct Answer B. 80
Explanation There are 10 thousands in 1 hundred thousand. Since there are 800,000 people in total, we can divide 800,000 by 100,000 to find out how many 10 thousands are equal to 800,000. The result is 8. Therefore, the correct answer is 80.
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16.
Abdul wants to build a fence around his rectangular garden. The length of the garden is 20.5 yards, and the width is 30.5 yards. What is the perimeter of Abdul's garden?perimeter of rectangle = (2 x length) + (2 x width)
A.
41 yards
B.
61 yards
C.
102 yards
D.
112 yards
Correct Answer C. 102 yards
Explanation The formula for finding the perimeter of a rectangle is (2 x length) + (2 x width). In this case, the length of Abdul's garden is 20.5 yards and the width is 30.5 yards. Plugging these values into the formula, we get (2 x 20.5) + (2 x 30.5) = 41 + 61 = 102 yards. Therefore, the perimeter of Abdul's garden is 102 yards.
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17.
The ratio of the number of gallons of milk to the number of boxes of cereal in Julie's grocery cart is 2:3. Which ratio is equivalent to 2:3?
A.
2/3
B.
23%
C.
3:2
D.
3 out of 2
Correct Answer A. 2/3
Explanation The ratio of the number of gallons of milk to the number of boxes of cereal in Julie's grocery cart is 2:3. This means that for every 2 gallons of milk, there are 3 boxes of cereal. The ratio 2/3 is equivalent to this because it represents the same relationship between milk and cereal.
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