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Explanation The inside angles of a triangle always add up to 180 degrees. This is a fundamental property of triangles in Euclidean geometry. Regardless of the size or shape of the triangle, the sum of its interior angles will always be equal to 180 degrees.
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2.
A revolution = ________degrees.
Correct Answer 360
Explanation The statement "A revolution = 360 degrees" is a mathematical fact. In geometry, a revolution refers to a complete turn around a point in a circular motion. Since a circle has 360 degrees, a revolution is equal to 360 degrees.
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3.
3.89 rounded off to the nearest whole number is________.
Correct Answer 4
Explanation The number 3.89 is rounded off to the nearest whole number, which means it will be rounded to the nearest integer. In this case, since 3.89 is closer to 4 than to 3, it will be rounded up to 4.
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4.
20% of 50 is
A.
5
B.
8
C.
10
D.
4
Correct Answer
C. 10
Explanation To find 20% of a number, we multiply the number by 0.2. So, to find 20% of 50, we calculate 50 * 0.2 = 10. Therefore, the correct answer is 10.
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5.
Calculate x
A.
115
B.
65
C.
245
D.
180
Correct Answer
B. 65
6.
Calculate h
A.
32
B.
68
C.
92
D.
56
Correct Answer
C. 92
Explanation To find the value of angle A, we'll use the fact that the sum of the angles in a triangle is 180 degrees.
Since angle ACD is an exterior angle, it is equal to the sum of the remote interior angles, which are angles A and B.
So, angle A + angle B = angle ACD
Substituting the given values:
angle A + 56 degrees = 148 degrees
Now, we'll solve for angle A:
angle A = 148 degrees - 56 degrees
angle A = 92 degrees
Therefore, the value of angle A is 92 degrees.
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7.
A hall has 30 rows of chairs and 22 chairs in a row. How many chairs are there in total?
Correct Answer 660
Explanation There are 30 rows of chairs and 22 chairs in each row. To find the total number of chairs, we can multiply the number of rows by the number of chairs in each row. Therefore, 30 multiplied by 22 equals 660.
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8.
Select the ones that are the same as 12/20
A.
60 percent
B.
0.06
C.
0.6
D.
6/10
Correct Answer(s)
A. 60 percent C. 0.6 D. 6/10
Explanation The correct answer options, 60 percent, 0.6, and 6/10, all represent the same value as 12/20. In decimal form, 12/20 is equal to 0.6, which can also be expressed as 60 percent. Additionally, 6/10 is the fraction form of 0.6. Therefore, all three answer options are equivalent representations of the given fraction.
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9.
Choose the ones that are factors of 30.
A.
10
B.
3
C.
4
D.
15
E.
20
Correct Answer(s)
A. 10 B. 3 D. 15
Explanation The factors of a number are the numbers that can divide it evenly without leaving a remainder. In this case, we need to find the numbers that can divide 30 without leaving a remainder. The numbers 10, 3, and 15 can all divide 30 evenly, as 30 divided by 10 equals 3, 30 divided by 3 equals 10, and 30 divided by 15 equals 2. Therefore, 10, 3, and 15 are the factors of 30.
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10.
Name the following shape.
Correct Answer(s) Square based pyramid
Explanation The given shape is called a square-based pyramid because it has a square as its base and triangular faces that meet at a common vertex.
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11.
What is the area of the following shape?
A.
38 square cm
B.
84 square m
C.
38 square m
D.
84 square cm
Correct Answer
D. 84 square cm
Explanation The answer is 84 square cm because it is the only option that is given in square cm. The other options are given in square m, which is a larger unit of measurement. Therefore, the area of the shape must be in square cm.
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12.
The ratio of red circles to blue stars.
A.
6:4
B.
4:7
C.
7:4
D.
4:11
Correct Answer
C. 7:4
Explanation The ratio of red circles to blue stars is 7:4. This means that for every 7 red circles, there are 4 blue stars.
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13.
989 - ________=561
Correct Answer 428
Explanation The missing number that, when subtracted from 989, equals 561 is 428.
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14.
72 x 5 = ________
Correct Answer 360
Explanation The given question is asking for the product of 72 and 5. To find the answer, we multiply 72 by 5. The result of this multiplication is 360.
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