1- Choice C is correct
The correct answer is Greater than 30 If 15 of a number is greater than 6, the number must be greater than 30. 15 x > 6→ multiply both sides of the inequality by 6,then: x > 30
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2- Choice A is correct
The correct answer is 711 There are 11 squares and 7 of them are shaded. Therefore, 7 out of 11 or 711 are shaded.
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3- Choice B is correct
The correct answer is 4 6 × (M + N)=24, then M + N=4. M > 0→N could not be 4.
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4- Choice D is correct
The correct answer is 73 64=1.5, the only option that is greater than 1.5 is 73. 52=2.33,2.33 > 1.5
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5- Choice E is correct
The correct answer is 7 The closest to 7.06 is 7 in the options provided.
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6- Choice A is correct
The correct answer is 1 A represents digit 1 in the multiplication. 12 × 612=7,344
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7- Choice E is correct
The correct answer is 4.78 8.9 − 4.08=4.78, which is closest to 4.78
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8- Choice E is correct
The correct answer is N + 1 N is even. Let’s choose 2 and 4 for N. Now, let’s review the options provided.
A. N2=22=1, N2=42=2, One result is odd and the other one is even. B. N + 4=2 + 4=6, 4 + 4=8 Both results are even. C. 2 N=2 × 2=4, 4 × 2=8 Both results are even. D. (2 × N) + 2=(2 × 2) + 2=6, (4 × 2) + 2=10 Both results are even. E. N + 1=2 + 1=3, 4 + 1=5 Both results are odd.
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9- Choice A is correct
The correct answer is 1 The value of digit 6 in both numbers x and y are in the tens place. Therefore, they have the same value.
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10- Choice B is correct
The correct answer is 78 The ratio of lions to tigers is 9 to 6 or 3 to 2 at the zoo. Therefore, total number of lions and tigers must be divisible by 5. 3 + 2=5 From the numbers provided, only 78 is not divisible by 5.
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11- Choice B is correct
The correct answer is 2 x − 4 24=x × 6→x=24 ÷ 6=4 x equals to 4. Let’s review the options provided: A. x + 6→4 + 4=10 24 is not divisible by 10. B. 2 x − 4→2 × 4 − 4=4 24 is divisible by 4. C. x + 1→4 + 1=5 24 is not divisible by 5. D. 2 x × 2 − 5→16 − 5=11 24 is not divisible by 11. E. 4 x − 7=16 − 7=9 24 is not divisible by 9.
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12- Choice E is correct
The correct answer is 21 4 + x=15→ x=11→ 11 + 10=21
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13- Choice D is correct
The correct answer is 9 Area of a square = (one side) × (one side) 3 × 3=9
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14- Choice B is correct
The correct answer is 17 x − 10=12→x=2 12 + y=27→y=15 x + y=2 + 15=17
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15- Choice A is correct
The correct answer is 4 3 + 3 + 5 × 2 + 24 + 2=246=4
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16- Choice C is correct
The correct answer is 2 × 25 23 × 42=810=45 2 × 25=45
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17- Choice B is correct
The correct answer is 14 cm2 Area of a triangle =12 × (base) × (height) =12 × 4 × 7=14 cm2
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18- Choice C is correct
The correct answer is 7 4 + 3 N=25→ 3 N=25 − 4=21→ N=7
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19- Choice A is correct
The correct answer is 28 3 + 3=6→ 6 + 4=10→ 10 + 5=15→ 15 + 6=21→ 21 + 7=28
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20- Choice C is correct
The correct answer is 10 degrees below zero 12 − 22= − 10 The temperature at midnight was 10 degrees below zero.
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21- Choice E is correct
The correct answer is side × side area of a square = side × side
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22- Choice A is correct
The correct answer is 38 There are 6 red ball and 16 are total number of balls. Therefore, probability that Lucy will pick out a red ball from the basket is 6 out of 16 or 66 + 10=616=38.
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23- Choice E is correct
The correct answer is 50 20 percent of 500=20% of 500=10100 × 500=50
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24- Choice C is correct
The correct answer is 19.8 average =sum of all numbersnumber of numbers=3 + 6 + 17 + 28 + 455=19.8
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25- Choice D is correct
The correct answer is 3 An equilateral triangle has 3 lines of symmetry.
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26- Choice B is correct
The correct answer is 30 The shape has 6 equal sides. And is side is 5. Then, the perimeter of the shape is: 5 × 6=30
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27- Choice C is correct
The correct answer is 17 N=4, then: 484 + 5=12 + 5=17
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28- Choice A is correct
The correct answer is 3 × 2=10 Let’s review the options provided: A. 3 × 2=10 This is NOT true! B. (5 + 2) × 2=14 This is true! C. 9 ÷ (6 − 3)=3→9 ÷ 3=3 This is true! D. 4 × (5 − 2)=12→4 × 3=12 This is true! E. (8 + 4) × 10=120→12 × 10=120 This is true!
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29- Choice D is correct
The correct answer is 16 Four people can paint 4 houses in 10 days. It means that for painting 8 houses in 10 days we need 8 people. To paint 8 houses in 5 days, 16 people are needed.
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30- Choice C is correct
The correct answer is 0.5 62 − 52=12=0.5
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