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Explanation The numbers 100, 169, and 441 are all perfect squares because they can be expressed as the square of an integer (10, 13, and 21 respectively). However, 50 is not a perfect square because there is no integer that can be squared to give 50.
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2.
A square has an area of 12 cm^{2}. Its side length is
A.
144 cm
B.
Between 4 cm and 5 cm
C.
Between 1 cm and 2 cm
D.
Between 3 cm and 4 cm
Correct Answer D. Between 3 cm and 4 cm
Explanation The area of a square is calculated by multiplying the length of one side by itself. In this case, the area is given as 12 cm2. To find the side length, we need to take the square root of the area. The square root of 12 is between 3 and 4. Therefore, the side length of the square is between 3 cm and 4 cm.
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3.
Which square root cannot be expressed as a whole number?
A.
Square root of 121
B.
Square root of 125
C.
Square root of 225
D.
Square root of 625
Correct Answer B. Square root of 125
Explanation The square root of 125 cannot be expressed as a whole number because there is no integer that, when multiplied by itself, equals 125. The square root of 125 is an irrational number, meaning it cannot be expressed as a fraction or a whole number.
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4.
The area of a square drawn on side GH would be
A.
11 square units
B.
28 square units
C.
65 square units
D.
121 square units
Correct Answer C. 65 square units
5.
The unknown side length is approximately
A.
52 cm
B.
484 cm
C.
25.6 cm
D.
48.4 cm
Correct Answer C. 25.6 cm
Explanation The correct answer is 25.6 cm because it is the only option that is a plausible length for an unknown side. The other options, 52 cm, 484 cm, and 48.4 cm, are all too large to be a side length of a typical object. Therefore, 25.6 cm is the most reasonable choice for the unknown side length.