Mathematics Calculation Quiz Unit 2

1) 5/4 as decimal is

1.25

0.125

125

The decimal representation of a fraction is obtained by dividing the numerator by the denominator. In this case, the fraction is 5/4. When we divide 5 by 4, we get 1.25. Therefore, the decimal representation of 5/4 is 1.25.

Explanation

The decimal representation of a fraction is obtained by dividing the numerator by the denominator. In this case, the fraction is 5/4. When we divide 5 by 4, we get 1.25. Therefore, the decimal representation of 5/4 is 1.25.

2) John scored 72% for an examination marked out of 150. How many markes did he actually scored out of 150.

48

108

42

John scored 72% on the examination, which means he achieved 72 out of 100 marks. Since the examination was marked out of 150, we can calculate his actual score by finding 72% of 150. By multiplying 72/100 by 150, we get 108. Therefore, John actually scored 108 marks out of 150.

Explanation

John scored 72% on the examination, which means he achieved 72 out of 100 marks. Since the examination was marked out of 150, we can calculate his actual score by finding 72% of 150. By multiplying 72/100 by 150, we get 108. Therefore, John actually scored 108 marks out of 150.

3) What is the sum of 3/12 and 4/12?

7/6

7/12

1/12

Explanation

4) A bulider buys timber cost $4800 but is given a 12 % discount.What does he pay for the timber?

$567

5367

4224

The builder pays $4224 for the timber because he receives a 12% discount on the original cost of $4800. To calculate the discounted price, we multiply the original cost by (1 - discount percentage), which in this case is (1 - 0.12 = 0.88). Therefore, $4800 * 0.88 = $4224.

Explanation

The builder pays $4224 for the timber because he receives a 12% discount on the original cost of $4800. To calculate the discounted price, we multiply the original cost by (1 - discount percentage), which in this case is (1 - 0.12 = 0.88). Therefore, $4800 * 0.88 = $4224.

5) 45% as a fraction in lowest term is:

4/25

45/100

9/20

To convert a percentage to a fraction, we divide the percentage by 100 and simplify the fraction to its lowest terms. In this case, 45% divided by 100 equals 0.45. To simplify the fraction, we can divide both the numerator and denominator by 5, resulting in 9/20. Therefore, 45% as a fraction in its lowest term is 9/20.

Explanation

To convert a percentage to a fraction, we divide the percentage by 100 and simplify the fraction to its lowest terms. In this case, 45% divided by 100 equals 0.45. To simplify the fraction, we can divide both the numerator and denominator by 5, resulting in 9/20. Therefore, 45% as a fraction in its lowest term is 9/20.

6) 0.555.. as fraction is

5/9

5/3

5/1000

To convert the repeating decimal 0.555... into a fraction, we can set it equal to "x" and subtract it from 10x. This eliminates the repeating decimal, leaving only the non-repeating decimal. Thus, 10x - x = 5, which simplifies to 9x = 5. Dividing both sides by 9 gives us x = 5/9, which is the fraction equivalent of 0.555...

Explanation

To convert the repeating decimal 0.555... into a fraction, we can set it equal to "x" and subtract it from 10x. This eliminates the repeating decimal, leaving only the non-repeating decimal. Thus, 10x - x = 5, which simplifies to 9x = 5. Dividing both sides by 9 gives us x = 5/9, which is the fraction equivalent of 0.555...

7) Mohammed saw a car advertised for sale at $17875, having been discounted from 27500. Calculate the percentage discount.

45%

35%

25%

To calculate the percentage discount, we need to find the difference between the original price and the discounted price, and then divide that difference by the original price. In this case, the difference is $27500 - $17875 = $9625. Dividing this by the original price of $27500 and multiplying by 100 gives us (9625/27500) * 100 = 35%. Therefore, the percentage discount is 35%.

Explanation

To calculate the percentage discount, we need to find the difference between the original price and the discounted price, and then divide that difference by the original price. In this case, the difference is $27500 - $17875 = $9625. Dividing this by the original price of $27500 and multiplying by 100 gives us (9625/27500) * 100 = 35%. Therefore, the percentage discount is 35%.

8) Nora saved money for 6 months. She saved QR45 in thr first month and in the second month she saved of this money. How much money did nora save in the second month?

18/5

39

27

In the given question, Nora saved QR45 in the first month. In the second month, she saved 18/5 of this money. To find out how much money Nora saved in the second month, we need to calculate 18/5 of QR45. Multiplying QR45 by 18/5 gives us QR162/5, which simplifies to QR32.4. However, since we are looking for a whole number answer, we round down to the nearest whole number, which is 32. Therefore, Nora saved QR32 in the second month.

Explanation

In the given question, Nora saved QR45 in the first month. In the second month, she saved 18/5 of this money. To find out how much money Nora saved in the second month, we need to calculate 18/5 of QR45. Multiplying QR45 by 18/5 gives us QR162/5, which simplifies to QR32.4. However, since we are looking for a whole number answer, we round down to the nearest whole number, which is 32. Therefore, Nora saved QR32 in the second month.

9) Find the original amount (cost price) given that : after an increase of 35%, the price was $243

$180

$373.84

$328.05

After an increase of 35%, the price becomes $243. To find the original amount (cost price), we need to calculate what the 100% of the price would be. We can set up a proportion: 35/100 = (243 - cost price)/cost price. Solving this equation, we find that the cost price is $180.

Explanation

After an increase of 35%, the price becomes $243. To find the original amount (cost price), we need to calculate what the 100% of the price would be. We can set up a proportion: 35/100 = (243 - cost price)/cost price. Solving this equation, we find that the cost price is $180.

10) One calculation below gives the answer to the questions: What are 70 increased by 9%

70 X 0.9

70 X 1.9

70 X 1.09

The correct answer is 70 X 1.09. To find the value of 70 increased by 9%, we need to multiply 70 by 1.09. This is because when we increase a value by a certain percentage, we multiply it by 1 plus the decimal equivalent of the percentage. In this case, 9% is equal to 0.09 in decimal form. So, multiplying 70 by 1.09 gives us the answer.

Explanation

The correct answer is 70 X 1.09. To find the value of 70 increased by 9%, we need to multiply 70 by 1.09. This is because when we increase a value by a certain percentage, we multiply it by 1 plus the decimal equivalent of the percentage. In this case, 9% is equal to 0.09 in decimal form. So, multiplying 70 by 1.09 gives us the answer.