1.
The inside angles of a triangle =________degrees.
Explanation
The sum of the inside angles of a triangle is always 180 degrees. This is a fundamental property of triangles that can be proven using geometry or algebraic methods.
2.
A revolution = ________degrees.
Explanation
The given statement suggests that a revolution is equal to 360 degrees. In geometry, a revolution refers to a complete rotation around a point or axis. Since a circle is divided into 360 degrees, a full rotation or revolution is equivalent to 360 degrees. Therefore, the correct answer is 360.
3.
3.89 rounded off to the nearest whole number is________.
Explanation
The number 3.89 is rounded off to the nearest whole number, which means we look at the decimal part. Since the decimal part is less than 0.5, we round down to the nearest whole number. Therefore, the correct answer is 4.
4.
20% of 50 is:
Correct Answer
C. 10
Explanation
20% of 50 can be calculated by multiplying 50 by 0.20. This gives us 10, which is the correct answer.
5.
Calculate x
Correct Answer
B. 65
Explanation
The sum of all angles in a triangle is 180 degrees. Using this we can arrive at the equation:
x + 47 + 68 = 180
x = 65
Therefore, the correct answer is 65.
6.
Calculate h
Correct Answer
C. 92
Explanation
Let the third angle of the triangle be x. the sum of x and 148 should be 180 degrees. Therefore, x is 32 degrees.
The sum of all angles in a triangle is 180 degrees. Using this we can arrive at the equation:
h + 32 + 56 = 180
h = 92
Therefore, the correct answer is 92.
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
In order to find the total number of chairs in the hall, we need to multiply the number of rows by the number of chairs in each row. Since there are 30 rows and each row has 22 chairs, the total number of chairs is 30 x 22 = 660.
8.
Select the ones that are the same as 12/20.
Correct Answer(s)
A. 60 percent
C. 0.6
D. 6/10
Explanation
The given options 60 percent, 0.6, and 6/10 are all equivalent to the fraction 12/20. 60 percent can be written as 0.6 in decimal form, which is the same as 6/10 as a fraction. Therefore, all three options represent the same value as 12/20.
9.
Choose the ones that are factors of 30.
Correct Answer(s)
A. 10
B. 3
D. 15
Explanation
The numbers 10, 3, and 15 are all factors of 30 because they can evenly divide into 30 without leaving a remainder. For example, 10 x 3 = 30, and 30 ÷ 15 = 2. Therefore, these numbers are considered factors of 30.
10.
Name the following shape.
Correct Answer(s)
Square based pyramid
Explanation
A square-based pyramid is a three-dimensional shape that has a square as its base and four triangular faces that meet at a common vertex. The base of the pyramid is a square, which means that all four sides are equal in length and all four angles are right angles. The triangular faces are formed by connecting each corner of the square base to the common vertex. This shape is called a square-based pyramid because its base is a square.
11.
What is the area of the following shape?
Correct Answer
D. 84 square cm
Explanation
The correct answer is 84 square cm. This is because the given options are measurements of area, and the unit "cm" represents square centimeters. Among the options, 84 square cm is the only one that matches this unit.
12.
The ratio of red circles to blue stars.
Correct Answer
C. 7:4
Explanation
The correct answer is 7:4 because it represents the ratio of red circles to blue stars. This means that for every 7 red circles, there are 4 blue stars.
13.
989 - ________=561
Correct Answer
428
Explanation
Let the missing number be x. To find the missing number in 989 − x = 561, subtract 561 from 989.
14.
72 x 5 = ________
Correct Answer
360
Explanation
The correct answer is 360 because when you multiply 72 by 5, you get the product of 360.