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In mathematics, a ratio indicates how many times one number contains another, a rate is the ratio between two related quantities in different units and a percentage is a number or ratio expressed as a fraction of 100!
Questions and Answers
1.
Write 35% as a decimal.
Explanation The question asks to convert 35% into a decimal. To do this, we divide the percentage by 100. In this case, 35 divided by 100 equals 0.35. Therefore, the correct answer is 0.35.
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2.
Write 2.58 as a percentage.
Explanation To convert a decimal number to a percentage, we multiply it by 100. In this case, to convert 2.58 to a percentage, we multiply it by 100, resulting in 258%.
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3.
Turn 15/30 into a percentage.
Explanation To convert a fraction into a percentage, you divide the numerator (the top number) by the denominator (the bottom number) and then multiply by 100. In this case, dividing 15 by 30 gives 0.5, and multiplying by 100 gives 50%. Therefore, 15/30 is equal to 50%.
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4.
Turn 3/9 into a percentage. Round your answer to two decimal places.
Explanation To convert a fraction to a percentage, you divide the numerator (3) by the denominator (9) and multiply the result by 100. In this case, 3 divided by 9 is 0.3333. Multiplying by 100 gives 33.33%. Rounding to two decimal places gives the final answer of 33.33%.
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5.
Simplify the ratio - 10:20
Explanation The given ratio -10:20 can be simplified by dividing both terms by their greatest common divisor, which is 10. After simplification, we get the ratio 1:2.
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6.
Increase 6400 by 30 %
Step 1: % of
Step 2: Increase
Explanation To increase 6400 by 30%, we first find 30% of 6400 which is 1920. Then, we add this amount to 6400 to get the final answer of 8320.
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7.
Decrease 400 by 65%
Step 1: % of
Step 2: Decrease
Explanation To decrease a number by a certain percentage, we first find the percentage of the number and then subtract it from the original number. In this case, we need to find 65% of 400, which is 260. Subtracting 260 from 400 gives us the answer of 140.
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8.
Mr T runs 50 metres in 10 seconds.How far does he run in 1 second?
Explanation To find out how far Mr T runs in 1 second, we can divide the total distance (50 meters) by the total time (10 seconds). Doing this calculation, we find that Mr T runs 5 meters in 1 second.
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9.
Ms M drives at 100km per hour. How far has she driven in 6 hours?
Explanation To calculate the distance traveled, you can use the formula:
Distance=Speed×TimeDistance=Speed×Time
Given that Ms. M drives at 100 km per hour and the time is 6 hours:
Distance=100 km/h×6 hDistance=100km/h×6h
Distance=600 kmDistance=600km
So, Ms. M has driven 600 kilometers in 6 hours.
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10.
Write 1/4 as a percentage
A.
10%
B.
15%
C.
25%
D.
95%
Correct Answer C. 25%
Explanation To convert a fraction to a percentage, we need to multiply it by 100. In this case, 1/4 multiplied by 100 equals 25%. Therefore, 1/4 can be expressed as 25% in percentage form.
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11.
What is 10% of 450
A.
36
B.
4.5
C.
14.5
D.
45
Correct Answer D. 45
Explanation To find 10% of a number, we divide the number by 10. In this case, dividing 450 by 10 gives us 45. Therefore, 10% of 450 is 45.
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12.
Simplify 30:6
A.
5
B.
36
C.
5:1
D.
306
Correct Answer C. 5:1
Explanation The expression "30:6" can be simplified by dividing both numbers by their greatest common factor, which is 6. 30 divided by 6 is 5, and 6 divided by 6 is 1. Therefore, the simplified form of 30:6 is 5:1.
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13.
What does the xequal? 4:16=x:4
A.
1:8
B.
4:1
C.
14
D.
1
Correct Answer D. 1
Explanation The given equation is a proportion, where the ratio of 4:16 is equal to the ratio of x:4. To solve this proportion, we can cross multiply. By multiplying 4 and x, we get 4x, and by multiplying 16 and 4, we get 64. Therefore, the equation becomes 4x = 64. To solve for x, we divide both sides of the equation by 4, which gives us x = 16. However, none of the answer choices match this value of x. Therefore, the correct answer is not available.
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14.
The store wants to increase TVs by 45%
What is the new price of a tv that was $2000?
Correct Answer 2900
Explanation The correct answer is obtained by multiplying the original price of $2000 by 1.45, which represents a 45% increase. This calculation results in $2900, which is the new price of the TV after the desired increase.
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15.
I ran 100m in 14.34 sec
What is the average speed in metres per second?
Correct Answer 6.97
Explanation The average speed can be calculated by dividing the total distance traveled (100m) by the total time taken (14.34 sec). Therefore, the average speed is 100m/14.34 sec = 6.97 m/s.
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16.
I had to buy new tyres for my car. Each tyre costs $100. There is a special where they say 4 tyres for the price of 3, plus a 10% discount. How much will 4 tyres cost with this special?
Correct Answer 270, $270
Explanation With the special offer, you can buy 4 tyres for the price of 3. Since each tyre costs $100, the total cost for 4 tyres would normally be $400. However, with the special offer, you get one tyre for free, so the cost is reduced to $300. Additionally, there is a 10% discount, which further reduces the cost by $30. Therefore, the total cost for 4 tyres with this special offer is $270.
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