1- Choice D is correct
The correct answer is 4,623,165 To round numbers to the nearest ten thousand,make the numbers whose last four digits are 0001 through 4999 into the next lower number that ends in 0000. For example, 54,424 rounded to the nearest ten thousand would be 50,000. Choice C is correct because last four digits of 4,623,165 is less than 4,999
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2- Choice B is correct
The correct answer is The digit 1 has a value of (1 × 10) A. The digit 7 has a value of 7 × 1100, not 7 × 100 B. The digit 5 has a value of 5 × 10,000, not 5 × 100 C. The digit 1 has a value of 1 × 10 . This is true! D. The digit 2 has a value of 2 × 1,000, not 2 × 100
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3- Choice A is correct
The correct answer is 101∘ Three angles in a triangle add up to 180∘ A∘ + 65∘+ 14∘ = 79∘ A∘ = 180∘ − 79∘ = 101∘
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4- Choice C is correct
The correct answer is 2,4000 The difference of each two successive numbers is 150. Add four 150 to last number (1,800): 1,800 + 150 + 150 + 150 + 150 = 2,400
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5- Choice B is correct
The correct answer is 16 A = 96 ÷ 6 = 16
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6- Choice C is correct
The correct answer is 14 To compare fractions, we can write fractions with the same denominator. Then, we can compare the numerators of each fraction and put them in correct order from least to greatest or greatest to least. Common denominator of 2, 3, 4 and 12 is 12. Rewrite the fractions: A. 52 = 3012 B. 23 = 812 C. 14 = 312 D. 912 Therefore, 312 or 14, choice C, has the least value.
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7- Choice B is correct
The correct answer is 945 1 year = 63 games 15 years = 15 × 63 = 945 games
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8- Choice D is correct
The correct answer is 34 cm use perimeter of rectangle formula. P = 2 (length + width) P = 2 × ( 5 + 12 ) = 2 × 17=34 cm
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9- Choice C is correct
The correct answer is square The has four sides. the four of parallel sides and be equal.
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10- Choice B is correct
The correct answer is 32 16 pastilles = 1 box 512 pastilles = (512 ÷ 16 =) 32 boxes
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11- Choice B is correct
The correct answer is 29 1issue of the magazine = $3 $87 ÷ $3 = 29 issues of the magazine
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12- Choice A is correct
The correct answer is 180 1 bag = 30 red cards + 15 black cards (30 + 15 = 45 cards) 4 bags = 4 × 45 = 180 cards
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13- Choice C is correct
The correct answer is $84.00 $46 + $38 = $84
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14- Choice B is correct
The correct answer is B Only shape B has one 90∘ angle.
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15- Choice D is correct
The correct answer is 25 Arrow is pointing to a number in the middle of two numbers 20 and 30. Therefore, the answer is 25.
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16- Choice B is correct
The correct answer is 235 pennies 4 quarters = 4 × 25 pennies = 100 pennies 12 dimes = 12 × 10 pennies = 120 pennies In total Alex has 235 pennies
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17- Choice D is correct
The correct answer is 50 inches To find the perimeter of a triangle, add all three sides of the triangle. P = 14 + 19 + 17 = 50 inches
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18- Choice C is correct
The correct answer is 32 23 + 9 = 32
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19- Choice B is correct
The correct answer is a816; b.710 The first shape is divided into 16 parts and 8 parts are shaded (816). The second shape is divided into 10 parts and 7 parts are shaded (710).
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20- Choice A is correct
The correct answer is 1,728 To find the volume of cube, multiply one side of the cube by itself 3 times: Volume of a cube = (side ) × (side) × (side) =12 × 12 × 12=1,728
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21- Choice A is correct
The correct answer is 32 ft Use perimeter of rectangle formula. P = 2 × (length + width) 80 = 2 × (8 + W) ⇒ 80 = 16 + 2 × W ⇒ 2 × W = 80 − 16 = 64 ⇒ W = 32 feet
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22- Choice C is correct
The correct answer is 5 14 This shape shows 5 complete shaded rectangle and a 14 of a rectangle. The mixed number for this shape is 5 14.
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23- Choice A is correct
The correct answer is 33 To find the perimeter of the shape, add all four sides. P = 6 + 9 + 6 + 12 = 33
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24- Choice B is correct
The correct answer is (2 × 10) + (4 × 1) + (5 × 0.01) The number 24.05 can be expressed as: (2 × 10) + (4 × 1) + (5 × 0.01) = 20 + 4 + 0.05 = 24.05
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25- Choice D is correct
The correct answer is 16 yards 3 feet = 1 yard 48 feet = 16 yards
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26- Choice C is correct
The correct answer is 525,600 1 year = 365 days, 1 day = 1,440 min 1 year = 365 × 1,440 = 525,600 min
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27- Choice D is correct
The correct answer is 416 minutes Each game = 112 hours = 90 minutes, therefore 4 games took 6 hours = 360 minutes. 7 minutes between each game. There are 21 minutes in total between 4 games. (between game 1 and 2, 7 minutes and between game 2 and 3, 7 minutes and between game 3 and 4, 7 minutes ) Lily arrives 20 minutes before first game and left 15 minutes after the last game. In total, she was 360 + 21 + 20 + 15 = 416 minutes at the soccer field.
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28- Choice A is correct
The correct answer is B + 13=24 The sum of A and B equals 24:A + B = 24, if A = 13 then B = 24 − 13 = 11. 13 + 11 = 24 or B + 13 = 24
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29- Choice B is correct
The correct answer is 49∘F Low temperature is 18∘F cooler than the temperature at 14:00 PM which is 67∘F. Low temperature is 49∘F (67∘F − 18∘F)that is choice B.
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30- Choice A is correct
You can find if a shape has a Line of Symmetry by folding it. When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry
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