1- Choice A is correct
The correct answer is \(30\) cm\(^2\) There are \(6\) shaded squares. Then: \(6 \ × \ 5\) cm\(^2 =30\) cm\(^2\)
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2- Choice C is correct
The correct answer is \(1.5\) \(\frac{8}{2} \ -\ \frac{5}{2}=\frac{3}{2}=1.5\)
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3- Choice E is correct
The correct answer is \(80\) \(\frac{x}{8} \ + \ 5=15→\) \(\frac{x}{8}=15 \ - \ 5=10→\) \(\frac{x}{8}=10→\) \(x=10 \ × \ 8=80\)
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4- Choice C is correct
The correct answer is \(7\) \(50=5 \ × \ N \ + \ 15→\) \(5 \ N=50 \ - \ 15=35→\) \(N=7\)
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5- Choice D is correct
The correct answer is \(3 \ N \ + \ 5=27\) \(5 \ + \ (3 \ × \ N)=27→\) \(3 \ N \ + \ 5=27\)
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6- Choice A is correct
The correct answer is \(1,350\) \(1,800 \ - \ 450=1,350\)
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7- Choice C is correct
The correct answer is \(60\) \(25\) percent of \(240=\frac{25}{100} \ × \ 240=\frac{1}{4} \ × \ 240=\frac{240}{4}=60\)
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8- Choice D is correct
The correct answer is \(45\) degrees All angles in a triangle sum up to \(180\) degrees. The triangle provided is an isosceles triangle. In an isosceles triangle, the three angles are \(45, \ 45\), and \(90\) degrees. Therefore, the value of \(x\) is \(45\).
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9- Choice A is correct
The correct answer is \(61\) The ratio of red marbles to blue marbles is \(5\) to \(3\). Therefore, the total number of marbles must be divisible by \(8\). \(5 \ + \ 3 = 8\) \(61\) is the only one that is not divisible by \(8\).
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10- Choice A is correct
The correct answer is \(7\) \(78\) divided by \(5\), the remainder is \(3\). \(45\) divided by \(7\), the remainder is also \(3\).
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11- Choice D is correct
The correct answer is \(y \ - \ 2\) Emily's Money \(=y\) Jack's Money \(=y \ + \ 12\) Jack gives Emily \($14→y \ +\ 12 \ - \ 14= y \ - \ 2\)
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12- Choice A is correct
The correct answer is \(24\) cm\(^2\) Area of a square \(=\) side \(×\) side \(=36→\) side \(=6\) Perimeter of a square \(= 4 \ ×\) side \(= 4 \ × \ 6=24\)
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13- Choice D is correct
The correct answer is \(40\) The length of the rectangle is \(15\). Then, its width is \(5\). \(15 \ ÷ \ 3 = 5\) Perimeter of a rectangle \(=2 \ ×\) width \(+ \ 2 \ ×\) length \(=2 \ × \ 5 \ + \ 2 \ × \ 15=\) \(10 \ + \ 30=40\)
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14- Choice E is correct
The correct answer is \(3\) Dividing \(123\) by \(5\) leaves a remainder of \(3\).
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15- Choice E is correct
The correct answer is \(19\) \(7 \ + \ 3=10\) \(10 \ + \ 4=14\) \(14 \ + \ 5=19\) \(19 \ + \ 6=25\)
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16- Choice C is correct
The correct answer is \(2,000\) \(7,200 \ + \ A \ - \ 300=8,900→\) \(72,00 \ + \ A=8,900 \ + \ 300=9,200→\) \(A=9,200 \ - \ 7,200=2,000\)
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17- Choice A is correct
The correct answer is \(1\) \(x \ + \ 5=7→x=2\) \(2 \ y=6→y=3\) \(y \ - \ x=3 \ - \ 2=1\)
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18- Choice D is correct
The correct answer is \($400\) \($80\) off is the same as \(20\) percent off. Thus, \(20\) percent of a number is \(80\). Then: \(20\%\) of \(x=80→\) \(0.20 \ x=80→\) \(x=\frac{80}{0.20}=400\)
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19- Choice D is correct
The correct answer is \($11.00\) \(25\) percent of \($44.00\) is \($11\). (Remember that \(25\) percent is equal to one fourth)
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20- Choice A is correct
The correct answer is \(0.5\) \(\frac{5}{3}=1.6 \ > \ 0.5\)
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21- Choice E is correct
The correct answer is \(123\) \(256 \ - \ x \ + \ 108=241→\) \(256 \ - \ x=241 \ - \ 108=133→\) \(x=256 \ - \ 133=123\)
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22- Choice C is correct
The correct answer is \(1020\) \(400 \ + \ \Box \ - \ 120=1,300→\) \(400 \ + \ \Box = 1,300 \ +\ 120=1,420\) \(\Box = 1,420 \ – \ 400 = 1020\)
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23- Choice B is correct
The correct answer is \(3\) \(N \ × \ (8 \ - \ 3)=15→\) \(N \ × \ 5=15→N=3\)
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24- Choice E is correct
The correct answer is \(4.84\) \(9.04 \ - \ 4.2=4.84\)
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25- Choice B is correct
The correct answer is \(24\) \(\frac{2}{5}\) of students are girls. Therefore, \(\frac{3}{5}\) of students in the class are boys. \(\frac{3}{5}\) of \(40\) is \(24\). There are \(24\) boys in the class. \(\frac{3}{5} \ × \ 40=\frac{120}{5}=24\)
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26- Choice C is correct
The correct answer is \(0.7596\) Of the numbers provided, \(0.7596\) is the greatest.
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27- Choice D is correct
The correct answer is \(8\) The closest number to \(8.05\) is \(8\).
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28- Choice A is correct
The correct answer is \(26\) If \(x∎y=5 \ x \ + \ y \ - \ 4\), Then: \(4∎10=5 \ (4) \ + \ 10 \ - \ 4=20 \ + \ 10 \ - \ 4=26\)
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29- Choice C is correct
The correct answer is \((2 \times \ 3 \ + \ 4) \ \times \ 2=18\) Choice C is not correct. \((2 \times \ 3 \ + \ 4) \ \times \ 2=20\) not \(18\)
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30- Choice C is correct
The correct answer is \(0.5\) \(\frac{4}{3} \ - \ \frac{5}{6}=\frac{8}{6} \ - \ \frac{5}{6}=\frac{3}{6}=\frac{1}{2} =0.5\)
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