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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