A Quick Mathematics Form I Test

1) 13501 + 2793 equals

15293

15294

16293

16294

To find the sum of 13501 and 2793, we add the corresponding digits from right to left. Starting from the rightmost column, 1 plus 3 equals 4. Moving to the next column, 0 plus 9 equals 9. Continuing this process, we have 5 plus 7 equals 12. Therefore, we write down 2 and carry over the 1. Finally, in the leftmost column, we have 1 plus 2 plus 2 equals 5. Thus, the correct sum is 16294.

Explanation

To find the sum of 13501 and 2793, we add the corresponding digits from right to left. Starting from the rightmost column, 1 plus 3 equals 4. Moving to the next column, 0 plus 9 equals 9. Continuing this process, we have 5 plus 7 equals 12. Therefore, we write down 2 and carry over the 1. Finally, in the leftmost column, we have 1 plus 2 plus 2 equals 5. Thus, the correct sum is 16294.

2) The value of the 8 in the number 125, 085, 026 is:

8000

80000

800

800000

The value of a digit in a number is determined by its position. In the number 125,085,026, the digit 8 is in the hundred thousand position, which means it represents 800,000. Therefore, the value of the 8 in the number is 800,000.

Explanation

The value of a digit in a number is determined by its position. In the number 125,085,026, the digit 8 is in the hundred thousand position, which means it represents 800,000. Therefore, the value of the 8 in the number is 800,000.

3) 50347 - 19805 equals

30542

40542

31542

41542

The given question asks for the result of subtracting 19805 from 50347. By performing the subtraction, we find that the correct answer is 30542.

Explanation

The given question asks for the result of subtracting 19805 from 50347. By performing the subtraction, we find that the correct answer is 30542.

4) 1.35 x 2.1 =

2.385

3.35

2.35

2.835

The correct answer is obtained by multiplying 1.35 by 2.1. This can be done by multiplying the digits individually and then adding the decimal places. Multiplying 5 by 1 gives 5, and multiplying 5 by 2 gives 10. Adding the decimal places gives 1.0. Multiplying 3 by 1 gives 3, and multiplying 3 by 2 gives 6. Adding the decimal places gives 0.6. Adding the two results together gives 5.6. Therefore, the correct answer is 2.835.

Explanation

The correct answer is obtained by multiplying 1.35 by 2.1. This can be done by multiplying the digits individually and then adding the decimal places. Multiplying 5 by 1 gives 5, and multiplying 5 by 2 gives 10. Adding the decimal places gives 1.0. Multiplying 3 by 1 gives 3, and multiplying 3 by 2 gives 6. Adding the decimal places gives 0.6. Adding the two results together gives 5.6. Therefore, the correct answer is 2.835.

5) Find the angle labeled X in the diagram:

50

82

98

102

The angle labeled X can be found by subtracting the given angles from 180 degrees, since the sum of the angles in a triangle is always 180 degrees. Subtracting 50, 98, and 102 from 180 gives us 82, which is the measure of angle X.

Explanation

The angle labeled X can be found by subtracting the given angles from 180 degrees, since the sum of the angles in a triangle is always 180 degrees. Subtracting 50, 98, and 102 from 180 gives us 82, which is the measure of angle X.

6) 35/700 expressed as a percentage is:

50%

0.5%

5 %

0.05%

To express a fraction as a percentage, we divide the numerator (35) by the denominator (700) and multiply the result by 100. In this case, 35 divided by 700 is 0.05. Multiplying by 100 gives us 5%. Therefore, the correct answer is 5%.

Explanation

To express a fraction as a percentage, we divide the numerator (35) by the denominator (700) and multiply the result by 100. In this case, 35 divided by 700 is 0.05. Multiplying by 100 gives us 5%. Therefore, the correct answer is 5%.

7) Find the value of y in the diagram in question 1.

50

82

98

48

8) In the Venn diagram in question 8, which of the following represents A U B?

{color pencils, black ink pen, toy car, crayons, markers, red ink pen, coloring book}

{color pencils, black ink pen, toy car, pencil, blue ink pen, reading book, math book, copy book}

{pencil, blue ink pen, reading book, math book, copy book, crayons, markers, red ink pen, coloring book}

The correct answer {color pencils, black ink pen, toy car, crayons, markers, red ink pen, coloring book, pencil, blue ink pen, reading book, math book, copy book} represents A U B because it includes all the elements from both set A and set B. Set A includes {color pencils, black ink pen, toy car, crayons, markers, red ink pen, coloring book} and set B includes {pencil, blue ink pen, reading book, math book, copy book}. The union of set A and set B will include all the elements from both sets, resulting in the given answer.

Explanation

The correct answer {color pencils, black ink pen, toy car, crayons, markers, red ink pen, coloring book, pencil, blue ink pen, reading book, math book, copy book} represents A U B because it includes all the elements from both set A and set B. Set A includes {color pencils, black ink pen, toy car, crayons, markers, red ink pen, coloring book} and set B includes {pencil, blue ink pen, reading book, math book, copy book}. The union of set A and set B will include all the elements from both sets, resulting in the given answer.

9) 2 x (5 - 1) + 3 - 1 / 5 =

2 3/5

2

10 4/5

9

Explanation

10) A man buys a car for $40,000.00. Every year the value of the car depreciates by 10%. What is the car worth after 3 years?

To calculate the car's value after each year, we need to subtract 10% of its value from the previous year.

Year 1:

Depreciation: $40,000 * 10/100 = $4,000

Value after depreciation: $40,000 - $4,000 = $36,000

Year 2:

Depreciation: $36,000 * 10/100 = $3,600

Value after depreciation: $36,000 - $3,600 = $32,400

Year 3:

Depreciation: $32,400 * 10/100 = $3,240

Value after depreciation: $32,400 - $3,240 = $29,160

Therefore, the car is worth $29,160 after 3 years.

Explanation

To calculate the car's value after each year, we need to subtract 10% of its value from the previous year.

Year 1:

Depreciation: $40,000 * 10/100 = $4,000

Value after depreciation: $40,000 - $4,000 = $36,000

Year 2:

Depreciation: $36,000 * 10/100 = $3,600

Value after depreciation: $36,000 - $3,600 = $32,400

Year 3:

Depreciation: $32,400 * 10/100 = $3,240

Value after depreciation: $32,400 - $3,240 = $29,160

Therefore, the car is worth $29,160 after 3 years.

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11) The Venn diagram below shows sets A and B, where A represents the set of items in Andy's schoolbag and B represents the set of items in Melissa's schoolbag. Find A n B (A intersect B)

The correct answer is {pencil, blue ink pen, reading book, math book, copy book}. This is because the intersection of sets A and B represents the items that are common to both Andy's and Melissa's schoolbags. In this case, all the items listed are present in both sets A and B, so the intersection is equal to the original sets.

Explanation

The correct answer is {pencil, blue ink pen, reading book, math book, copy book}. This is because the intersection of sets A and B represents the items that are common to both Andy's and Melissa's schoolbags. In this case, all the items listed are present in both sets A and B, so the intersection is equal to the original sets.

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12) The value of π (pi) is approximately ______.

Pi (π) is a mathematical constant representing the ratio of a circle's circumference to its diameter. Its value is approximately 3.14, though it is an irrational number with an infinite number of non-repeating decimal places. Pi is fundamental in geometry, especially in calculations involving circles, such as finding the area (πr²) and circumference (2πr). Its precise value is crucial in various fields of science and engineering.

Explanation

Pi (π) is a mathematical constant representing the ratio of a circle's circumference to its diameter. Its value is approximately 3.14, though it is an irrational number with an infinite number of non-repeating decimal places. Pi is fundamental in geometry, especially in calculations involving circles, such as finding the area (πr²) and circumference (2πr). Its precise value is crucial in various fields of science and engineering.

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