1- Choice A is correct
The correct answer is \frac{1}{5} There are 65 cards in the bag and 13 of them are white. Then, 13 out of 65 cards are white. You can write this as: \frac{13}{65}. To simplify this fraction, divide both numerator and denominator by 13. Then: \frac{13}{65}=\frac{1}{5}
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2- Choice B is correct
The correct answer is 3 \ ÷ \ 11 \frac{3}{11} means 3 is divided by 11. The fraction line simply means division or ÷. Therefore, we can write \frac{3}{11} as 3 \ ÷ \ 11.
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3- Choice A is correct
The correct answer is A \ + \ 20=40 Plug in 20 for A in the equations. Only option A works. A \ + \ 20=40 20 \ + \ 20=40
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4- Choice D is correct
The correct answer is 8 hours and 30 minutes 50 miles : 1 hour 425 miles : 425 \ ÷ \ 50 = 8.5 hours
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5- Choice C is correct
The correct answer is 125\% Use percent formula: part = \frac{percent}{100} \ × whole 50 = \frac{percent}{100} \ × 40 ⇒ 50 = \frac{percent \ × \ 40}{100} ⇒ 50 =\frac{percent \ × \ 4}{10}, multiply both sides by 10. 500 = percent × \ 4, divide both sides by 4. 125 = percent
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6- Choice D is correct
The correct answer is 104 First, find the missing side of the trapezoid. The perimeter of the trapezoid below is 52. Therefore, the missing side of the trapezoid (its height) is: 52 \ - \ 12 \ - \ 18 \ - \ 14=52 \ - \ 44=8 Area of a trapezoid: A = \frac{1}{2} \ h (b_{1} \ + \ b_{2}) = \frac{1}{2} \ (8) \ (12 \ + \ 14) = 104
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7- Choice B is correct
The correct answer is 16 \ π Use area and circumference of circle formula. Area of a circle = π \ r^2 ⇒ 64 \ π = π \ r^2 ⇒ r= 8 Circumference of a circle = 2 \ π \ r ⇒ C = 2 \ × \ 8 \ × \ π ⇒ C =16 \ π
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8- Choice C is correct
The correct answer is 9.76 1 meter of the rope = 800 grams 12.2 meter of the rope = 12.2 \ × \ 800 =9,760 grams = 9.76 kilograms
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9- Choice C is correct
The correct answer is 1 \frac{1}{2} \ + \ \frac{4}{5} \ – \ \frac{3}{10} = \frac{(5 \ × \ 1) \ + \ (2 \ × \ 4) \ - \ (1 \ × \ 3)}{10} = \frac{10}{10} = 1
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10- Choice D is correct
The correct answer is 26 To solve this problem, divide 6 \ \frac{1}{2} by \frac{1}{4}. 6 \ \frac{1}{2} \ ÷ \ \frac{1}{4}=\frac{13}{2} \ ÷ \ \frac{1}{4}=\frac{13}{2} \ × \ \frac{4}{1}=26
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11- Choice C is correct
The correct answer is 10,000 The question is that number 56,743.21 is how many times of number 5.674321.
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12- Choice C is correct
The correct answer is 22.5 Lily eats 2 pancakes in 1 minute ⇒ Lily eats 2 \ × \ 5 pancakes in 5 minutes. Ella eats 2 \ \frac{1}{2} pancakes in 1 minute ⇒ Ella eats 2 \ \frac{1}{2} \ × \ 5 pancakes in 5 minutes. In total Lily and Ella eat 10 \ + \ 12.5 pancakes in 5 minutes.
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13- Choice B is correct
The correct answer is Approximately 38 hours. Alice drives 68 miles in one hour. Therefore, she drives 2600 miles in about (2600 \ ÷ \ 68) 38 hours.
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14- Choice C is correct
The correct answer is 482 inches 12 yards = 12 \ × \ 36 = 432 inches 4 feet = 4 \ × \ 12 = 48 inches 12 yards 4 feet and 2 inches = 432 inches + \ 48 inches + \ 2 inches = 482 inches
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15- Choice A is correct
The correct answer is 8 \ – \ (– \ 2) \ + \ (– \ 18) Simplify each option provided using order of operations rules. A. 8 \ – \ (– \ 2) \ + \ (– \ 18)=8 \ + \ 2 \ - \ 18=- \ 8 B. 2 \ + \ (– \ 3) \ × \ (– \ 2)=2 \ + \ 6=8 C. – \ 6 \ × \ (– \ 6) \ + \ (– \ 2) \ × \ (– \ 12)=36 \ + \ 24=60 D. (– \ 2) \ × \ (– \ 7) \ + \ 4=14 \ + \ 4=18 Only option A is - \ 8.
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16- Choice C is correct
The correct answer is 146 miles To find the answer, subtract 40,907 from 41,053. 41,053 \ - \ 40,907=146 miles
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17- Choice A is correct
The correct answer is \frac{1}{2} \frac{5}{8} \ × \ \frac{ 4}{5}=\frac{5 \ × \ 4}{8 \ × \ 5}=\frac{20}{40}=\frac{1}{2}
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18- Choice D is correct
The correct answer is 3,360 Use volume of cube formula. Volume = base × height ⇒ V = 120 \ × \ 28 ⇒ V =3,360
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19- Choice B is correct
The correct answer is 144 1 pizza has 8 slices. 18 pizzas contain (18 \ × \ 8) \ 144 slices.
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20- Choice B is correct
The correct answer is \frac{5}{8} in^2 Use area of rectangle formula. Area = length × width ⇒ A =\frac{3}{4} \ × \ \frac{5}{6} ⇒ A =\frac{5}{8} in^2
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21- Choice D is correct
The correct answer is 192 cm^3 Use volume of cube formula. Voluem = length × width × height ⇒ V = 6 \ × \ 4 \ ×\ 8 ⇒ V =192 cm^3
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22- Choice D is correct
The correct answer is 324 square feet Find the area of the room which is a square. Use area of square formula. S =a^2 ⇒ S = 18 feet × \ 18 feet = 324 square feet
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23- Choice D is correct
The correct answer is 25\% Use percent formula: part = \frac{percent}{100} \ × whole 600 = \frac{percent}{100} \ × \ 2400 ⇒ 600 = percent × \ 24 ⇒ percent =25
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24- Choice A is correct
The correct answer is 72 Use area of rectangle formula. A = a \ × \ b ⇒ A= 54 \ × \ 12 ⇒ A= 648 Divide the area by 9 \ (3 \ × \ 3 = 9 squares) to find the number of squares needed. 648 \ ÷ \ 9 = 72
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25- Choice C is correct
The correct answer is $300,000 ABC Corporation's income = \frac{2}{3} management’s predicted income. $200,000 = \frac{2}{3} management’s predicted income management’s predicted income = $200,000 \ × \ \frac{2}{3}=$300,000
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26- Choice A is correct
The correct answer is 11 Write the numbers in order: 9, \ 9, \ 10, \ 11, \ 13, \ 14, \ 18 Median is the number in the middle. Therefore, the median is 11.
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27- Choice C is correct
The correct answer is 29 Use PEMDAS (order of operation): 9 \ + \ \left[ \ 8 \ × \ 5 \ \right] \ ÷ \ 2 = 9 \ + \ (40) \ ÷ \ 2 = 9 \ + \ (40 \ ÷ \ 2) = 29
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28- Choice B is correct
The correct answer is 9 Write the numbers in order: 4, \ 5, \ 8, \ 9, \ 13, \ 15, \ 18 Median is the number in the middle. Therefore, the median is 9.
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29- Choice C is correct
The correct answer is 500 Use volume of cylinder formula. Voluem = base × heigth ⇒ V=50 \ × \ 10 ⇒ V=500
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30- Choice C is correct
The correct answer is 4 \div 13 13 yards long rope is cut into 4 equal parts. Therefore, 13 should be divided by 4. Only option C is NOT 13 divided by 4. (It is 4 divided by 13)
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31- Choice B is correct
The correct answer is 6.5 ft^2 Use area of trapezoid formula. Area of trapezoid = \frac{1}{2} \ × heigth × (base 1 \ + base 2) ⇒ \frac{1}{2} \ × \ 2 \ × \ (2 \ + \ 4.5)=6.5 ft^2
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32- Choice A is correct
The correct answer is $35 Let x be the new price after discount. x = 50 \ × (100 \ - \ 30)\%=50 \ × \ 70\%=50 \ × \ 0.70=35 x = $35
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33- Choice B is correct
The correct answer is 47 4 eggs for 1 cake. Therefore, 188 eggs can be used for (188 \ ÷ \ 4) \ 47 cakes.
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34- Choice D is correct
The correct answer is 110 Degrees An obtuse angle is any angle larger than 90 degrees. From the options provided, only D (110 degrees) is larger than 90.
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35- Choice C is correct
The correct answer is \frac{8}{9} Compare the fractions. \frac{5}{8} \ > \ \frac{3}{7} And \frac{8}{9} \ > \ \frac{5}{11} \frac{8}{9} \ > \ \frac{5}{8} Therefore, \frac{8}{9} is the biggest fraction.
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36- Choice A is correct
The correct answer is W= \frac{D}{9} Use area of rectangle formula. area of a rectangle = width × length ⇒ D=w \ × \ l ⇒ w=\frac{D}{l}= \frac{D}{9}
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37- Choice D is correct
The correct answer is \frac{3}{10}, \frac{6}{13}, \frac{1}{2}, \frac{2}{3}, \frac{5}{7} To list the fractions from least to greatest, you can convert the fractions to decimal. \frac{2}{3} = 0.67 \frac{5}{7} = 0.71 \frac{3}{10} = 0.3 \frac{1}{2} = 0.5 \frac{6}{13} = 0.46 \frac{3}{10} = 0.3, \ \frac{6}{13} = 0.46, \ \frac{1}{2} = 0.5, \ \frac{2}{3} = 0.67, \ \frac{5}{7} = 0.71 Option D shows the fractions in order from least to greatest.
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38- Choice B is correct
The correct answer is The product is between 3 and 4 5 multiplied by \frac{2}{3} = \frac{10}{3} = 3.33, therefore, only choice B is correct.
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39- Choice D is correct
The correct answer is The product is 210 CM^3 Use volume of rectangle formula. Volume of a rectangle = width × length × heigth ⇒ V=5 \ × \ 6 \ × \ 7 ⇒ V=210
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40- Choice D is correct
The correct answer is The product is (200) \ (0.85) To find the selling price, multiply the price by (100\% – rate of discount). Then: (200) \ (100\% \ – \ 15\%) = (200) \ (0.85) = 170 (200) \ (100\% \ – \ 15\%) = (200) \ (0.85) = 170
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