Ratio is a way of comparing two quantities by showing how many times one value contains another, while proportion states that two ratios are equal. These concepts help us solve problems involving comparisons, scaling, and dividing resources fairly. Understanding ratios and proportions is useful in cooking, maps, mixing ingredients, and many real-life situations. This Ratio and Proportion Quiz for Grade 7 challenges students with complex comparison and scaling problems. By attempting these 10 MCQs, students can evaluate their ability to work with ratios and solve problems using proportion.
In a class of 57 students, the number of boys are three more than the number of girls. Find the ratio of the number of boys to the total number of students.
Answer: (a) 10 : 19
Rachel divides some chocolates in the ratio of 2/3 : 3 between her two daughters, Luci and Lisa. If Luci gets 4 chocolates then how many chocolates does Lisa get?
Answer: (d) 18
Car A and Car B moving at uniform speeds cover equal distances in 6 hours and 9 hours, respectively. Find the ratio of speed of Car A to that of Car B.
Answer: (d) 3 : 2
David went to the store one day. After 200 meters of walking, he boarded a bus andtravelled 5 kilometers, but the market was still 1300 meters away. Determine the ratio of the overall distance walked and the distancetravelled by bus to the remaining distance to the market.
Answer: (a) 4 : 1
The ratio of height and base of a right-angled triangle is 3 : 4. If the hypotenuse of the triangle is 25 cm. Find the ratio of its base to the area of the triangle.
Answer: (b) 2 : 15
270 m of cloth is required to make 15 skirts. Given 520 m of cloth, find the margin that will remain after stitching the maximum number of skirts out of it.
Answer: (a) 16 m
In a mixture of 50 litres, the ratio of milk to water is 16 : 9. If some milk and 6 litres of water are further added to the mixture, the ratio of milk to water becomes 3 : 2. What is the quantity of milk added?
Answer: (b) 4 litres
A laborer works on a building site. If he works for five days, he earns $2700. How many months should he work to earn a total of $40,500?
Answer: (c) 2.5 months
The result obtained on subtracting a number from 12 is equal to the result obtained on adding the same number to 5/7. If the ratio of the reciprocal of this number to 5/237 is (37 + t) : 5, then find the value of t.
Answer: (a) 5
Read the passage carefully and answer the following question. Patrick goes to a market to buy cookies, chocolates and chips for his birthday party. After reaching home, he makes the observations: The ratio of the number of packets of cookies, the number of chocolates and the number of packets of chips is 8 : 10 : 9. Each packet of cookies has 30 cookies and the number of chocolates is 14 less than the sum of the number of packets of cookies and chips. The combined cost of cookies and chocolates is $4100 and the combined cost of chocolates and chips is $3590. The ratio of cost of one cookie and one packet of chips is 1 : 21. Find the ratio of the cost of one chocolate to the cost of one packet of chips.
Answer: (c) 17 : 21
| Topic | Quiz |
|---|---|
| Algebraic Expressions | Quiz on Algebraic Expressions |
| Data Handling | Quiz on Data Handling |
| Simple Linear Equations | Quiz on Simple Linear Equations |
| Exponents and Powers | Quiz on Exponents and Powers |
| Fractions | Quiz on Fractions |
| Integers | Quiz on Integers |
| Mensuration | Quiz on Mensuration |
| Profit, Loss and Percentage | Quiz on Profit, Loss and Percentage |
| Ratio and Proportion | Quiz on Ratio and Proportion |
| Rational Numbers | Quiz on Rational Numbers |
| Symmetry and Visualising Solid Shapes | Quiz on Symmetry and Visualising Solid Shapes |
| Triangles | Quiz on Triangles |
