# Math Quiz For Grade 6

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##### Ratio And Proportion

The ratio is a comparison of two quantities, and proportion is an equality of two ratios.

In a little village, two friends, Mike and Tom, loved baking delicious cakes. One day, they decided to share their cake recipe with the whole village. But they needed to make sure they used the right proportions of ingredients.

Mike had a secret recipe that used a special ratio of flour to sugar: 2 cups of flour to 1 cup of sugar. Tom wanted to make half the recipe, so they used proportion to adjust the ingredients.

They found that 1 cup of flour needed 1/2 cup of sugar. With this proportion, they could make a smaller version of the cake while keeping the same delicious taste.

• Q-1
• Distances traveled by Harry and Austin in an hour are 9 km and 12 km. Find the ratio of the speed of Harry to the speed of Austin.

• Q-2
• Jim can run a mile in 5 minutes and 50 seconds. John can run a mile in 6 minutes and 40 seconds. What is the ratio of Jim’s time to John’s time?

• Q-3
• The tallest building in the world, the Burj Khalifa in Dubai, is 828 meters tall. A model of the building is made using the ratio 1: 5000 centimeters. How high is the model in centimeters?

• Q-4
• Sophia and Isabella share a reward of \$117 in a ratio of 1:8. What fraction of the total reward does Sophia get?

• Q-5
• The length of a park is 120m and the breadth is 45m. Find the ratio of length to breadth and also find the ratio of length to area.

• Q-6
• 100 students appeared in the annual examination. 60 students passed. The ratio of the number of students who failed to the total number of students is?

• Q-7
• Which of the following ratios is not equivalent to 10:5?

• Q-8
•  What is the ratio of 40 cm to 1 m?

• Q-9
• What is the new ratio obtained by adding 4 to the antecedent and 2 to the consequent of the ratio 3:8?

• Q-10
• Bag 1 of marbles contains 15 red marbles and 25 green marbles. Bag 2 contains 45 red marbles and 75 green marbles. The ratio of which bag of marbles is greater?