Maths Time! Ratios, Rates And Percentages Quiz

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.

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.

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.

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.

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.

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%.

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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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.

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.

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.

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%.

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.

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.

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%.

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.