Fourth Grade: Mathematics Test

Explanation
The factors of a number are the numbers that can be multiplied together to get that number. In this case, the factors of 30 are 2, 3, and 5. These numbers can be multiplied together to get 30: 2 x 3 x 5 = 30.

Explanation
Geometry is the correct answer because it is the branch of mathematics that deals with the properties and relationships of points, lines, shapes, and spaces. A line segment is a part of a line that is bounded by two distinct endpoints, and it is a fundamental concept in geometry. Geomatics is a field that combines surveying, mapping, and spatial data analysis, but it does not specifically focus on line segments. Decimals and fractions are numerical representations and do not directly relate to the concept of a line segment.

Explanation
The angle in the picture appears to be less than 90 degrees, which classifies it as an acute angle.

Explanation
The given answer explains that 8,700 is 10 times larger than 870. This means that if you multiply 870 by 10, you will get 8,700. Therefore, the relationship between the two numbers is that one is 10 times larger than the other.

Explanation
In 6 hours and 5 minutes, there are 365 minutes. Since Dan can make 8 cupcakes in 10 minutes, we can calculate how many sets of 10 minutes are in 365 minutes, which is 36 sets. Therefore, Dan can make 8 cupcakes per set, so he will make a total of 36 sets x 8 cupcakes = 288 cupcakes. However, we also need to add the extra 5 minutes. Since Dan can make 8 cupcakes in 10 minutes, we can calculate how many cupcakes he can make in 5 minutes, which is 4 cupcakes. Therefore, the total number of cupcakes Dan will make in 6 hours and 5 minutes is 288 cupcakes + 4 cupcakes = 292 cupcakes.

Explanation
A quadrilateral shape is a polygon with four sides. A polygon is a closed figure with straight sides, and a quadrilateral specifically has four sides. This means that option A, "Polygon with four sides," is the correct answer. The other options are incorrect because they either refer to a different type of shape (triangles) or include additional possibilities (polygon with four or more sides, oval objects) that do not fit the definition of a quadrilateral.

Explanation
The correct answer is 550408 because when we add 102,293 and 448,115, we get a sum of 550,408.

Explanation
The equation y = x - 4 is the correct answer because it satisfies all the given data points. When x = 9, y = 5, the equation becomes 5 = 9 - 4, which is true. Similarly, when x = 4, y = 0, the equation becomes 0 = 4 - 4, which is also true. Finally, when x = 5, y = 1, the equation becomes 1 = 5 - 4, which is true as well. Therefore, y = x - 4 is the equation that accurately represents the given data.

Explanation
To convert a fraction to a decimal, divide the numerator (29) by the denominator (100). In this case, 29 divided by 100 equals 0.29. Therefore, the correct answer is 0.29.

Explanation
The fraction 7/100 represents the decimal 0.07. In this fraction, the numerator is 7, which represents the value of the decimal part (0.07). The denominator is 100, which represents the place value of the decimal part (0.01). Therefore, 0.07 can be expressed as 7/100.

Explanation
The letter H has a pair of parallel lines. The two vertical lines on either side of the letter are parallel to each other.

Explanation
The correct answer is 2720 because when you multiply 80 by 34, you get a product of 2720.

Explanation
The subtraction sentence 5.0 - 3.25 means subtracting 3.25 from 5.0. To find the missing number, we need to subtract 3.25 from 5.0. The difference between 5.0 and 3.25 is 1.75. Therefore, the number that correctly completes the subtraction sentence is 1.75.

Explanation
The value of n in the equation 64 ÷ n = 8 is 8 because when we divide 64 by 8, we get the quotient of 8.

Explanation
To convert feet to yards, divide the number of feet by 3 since there are 3 feet in 1 yard. In this case, dividing 36 feet by 3 gives us 12 yards. Therefore, the height of the building is 12 yards.