Mathematics for IGCSE & O level - Ratio And Proportion (Section 2)

  • 1
    What is the ratio of 1.5 kg to 750 g?
    Përgjigju
    (B)
    2:1
  • 2
    A recipe calls for the ratio of flour to sugar to be 4:3. Choose the set of amounts that fulfill this ratio.
    Përgjigju
    A
    B
  • 3
    A school has 600 students. The ratio of boys to girls is 7:5. How many girls are there?
    Përgjigju
    (A)
    250
  • 4
    The angles of a triangle are in the ratio 1:2:3. What is the size of the largest angle?
    Përgjigju
    (C)
    90 degrees
  • 5
    The ratio of boys to girls is 2:3. If the total number of students is 30, how many girls are there?
    Përgjigju
    (D)
    18
  • 6
    Select the statements that are true regarding the given ratio questions:
    Përgjigju
    A
    B
    C
  • 7
    A model car is built to a scale of 1:20. If the actual car is 4 meters long, what is the length of the model in centimeters?
    Përgjigju
    (B)
    20 cm
  • 8
    The ratio of sugar to flour in a recipe is 2:3. You use 60g of sugar. How much flour do you need?
    Përgjigju
    (C)
    90g
  • 9
    A container holds a mixture of red and blue marbles in a ratio of 2:3. If there are 12 red marbles, how many blue marbles are there?
    Përgjigju
    (B)
    18
  • 10
    The ratio of the number of cows to sheep on a farm is 3:7. If there are 21 cows, how many sheep are there?
    Përgjigju
    (C)
    49
  • 11
    A store sells red and blue toys in a ratio of 5:8. If they sell 40 red toys, how many blue toys do they sell?
    Përgjigju
    (C)
    64
  • 12
    What is the simplified ratio of 24 minutes to 2 hours?
    Përgjigju
    (A)
    1:5
  • 13
    A model car is built to a scale of 1:10. If the real car is 4.5 meters long, what is the length of the model in cm?
    Përgjigju
    (B)
    45 cm
  • 14
    A map has a scale of 1:20,000. Two points are 5cm apart on the map. What is the actual distance between these points?
    Përgjigju
    (A)
    1 km
  • 15
    John is mixing red paint and white paint. Which of the following ratios would make the most red paint?
    Përgjigju
    (C)
    3:1
  • 16
    Sasha makes breakfast using oats, currants and wheat germ in the ratio 2:1:1 by mass. If she has only 24 g of currants, how much oats does she use?
    Përgjigju
    (C)
    48 g
  • 17
    The ratio of apples to oranges in a fruit basket is 3:5. If there are 15 apples, how many oranges are there?
    Përgjigju
    (C)
    25
  • 18
    What is the simplest form of the ratio 18 inches to 2 feet?
    Përgjigju
    (A)
    3:4
  • 19
    The scale on a map is 1:50,000. Two towns are 10cm apart on the map. Find the distance in kilometers.
    Përgjigju
    (A)
    5km
  • 20
    In a class, the ratio of boys to girls is 3:2. If there are 10 girls, how many boys are there?
    Përgjigju
    (C)
    15
  • 21
    Two people share $50 in the ratio 3:2. Which of the following statements are true?
    Përgjigju
    B
    C
  • 22
    A scale drawing has a scale of 1 cm : 50 km. A length of 3 cm represents what distance?
    Përgjigju
    (C)
    150 km
  • 23
    In a class, the ratio of students who play football to those who play basketball is 7:3. If 21 students play football, how many play basketball?
    Përgjigju
    (A)
    9
  • 24
    On a map, 1 inch represents 10 miles. What does a distance of 2.5 inches represent?
    Përgjigju
    (D)
    25 miles
  • 25
    What is the ratio of 60 seconds to 2 minutes?
    Përgjigju
    (A)
    1:2
  • 26
    A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to use 9 cups of sugar, how many cups of flour do you need?
    Përgjigju
    (B)
    6 cups
  • 27
    A recipe requires flour and sugar in the ratio 5:2. If 100 grams of flour are used, how many grams of sugar are needed?
    Përgjigju
    (B)
    40g
  • 28
    If two numbers are in the ratio 3:5 and their sum is 48, what is the larger number?
    Përgjigju
    (D)
    30
  • 29
    Select the quantities that are equivalent to the ratio 1:4?
    Përgjigju
    A
    B
    D
  • 30
    If the ratio of men to women is 4:7 in a meeting, and there are 28 women present, how many men are at the meeting?
    Përgjigju
    (A)
    16
  • 31
    Write the ratio of 50g to 100g in its simplest form.
    Përgjigju
    (B)
    1:2
  • 32
    A mixture is made by mixing cement, sand and gravel in the ratio 1:3:6. What percentage of the mixture is sand?
    Përgjigju
    (B)
    30%
  • 33
    If the scale is 1:40, how many centimeters on the map represent 8 meters?
    Përgjigju
    (A)
    20 cm
  • 34
    In a recipe, the ratio of flour to butter is 3:4. Which of the following could be the actual amount of ingredients used?
    Përgjigju
    A
    B
  • 35
    Simplify the ratio 15:25.
    Përgjigju
    (B)
    3:5
  • 36
    What are the correct steps to simplify ratios?
    Përgjigju
    A
    B
    D
  • 37
    If the ratio of red to green marbles is 5:9, and there are 45 green marbles, how many red marbles are there?
    Përgjigju
    (C)
    25
  • 38
    If the ratio of paint to thinner is 4:1 and you need 20 liters of paint, how many liters of thinner do you need?
    Përgjigju
    (B)
    5 liters
  • 39
    Write the ratio of 4m: 75cm in its simplest form.
    Përgjigju
    (B)
    16:3
  • 40
    If a car uses 20 litres of fuel to travel 240 kilometres, and a journey of 540 kilometres is made, which statement below is correct?
    Përgjigju
    (B)
    45 liters of fuel would be used to make a journey of 540 kilometers
  • 41
    A model is built to a scale of 1:100. If a real object has a height of 15m, what will be the height of the model?
    Përgjigju
    (A)
    15cm
  • 42
    A line on a map is 4 cm long. The real-life distance is 20 km. What is the scale?
    Përgjigju
    (D)
    1:500000
  • 43
    On a map, 1 cm represents 20 km. If the distance between two towns is 7.5 cm on the map, what is the actual distance in kilometers?
    Përgjigju
    (D)
    150 km
  • 44
    Simplify the ratio 18:27.
    Përgjigju
    (A)
    2:3
  • 45
    The ratio of men to women is 4:9. What percentage of the group are men?
    Përgjigju
    (C)
    30.77%
  • 46
    The ratio of boys to girls in a club is 5:7. If there are 35 girls, how many boys are there?
    Përgjigju
    (C)
    25
  • 47
    What is the missing value in the proportion: 3/5 = ? / 20
    Përgjigju
    (B)
    12
  • 48
    The ratio of the sides of a triangle is 2:3:4 and the perimeter is 45 cm. What is the length of the shortest side?
    Përgjigju
    (B)
    10cm
  • 49
    A certain medicine requires a mixture of 1 part of a chemical and 5 parts of water. How much chemical is needed to be mixed with 15ml of water?
    Përgjigju
    (B)
    5ml
  • 50
    The ratio of the sides of a triangle is 4:5:6. If the perimeter is 60 cm, what is the length of the longest side?
    Përgjigju
    (B)
    20 cm