Question 1: Divide 60 apples into two parts in the ratio 2:1. How many apples are in each part?

Answer: 40 and 20

Question 2: A recipe requires flour and sugar in the ratio 3:2. If 150 grams of flour is used, how much sugar is needed?

Answer: 100 grams

Question 3: Share 90 liters of water between two tanks in the ratio 3:2. How many liters go into each tank?

Answer: 54 and 36

Question 4: Construct a pair of line segments on the grid so that the longer segment is twice the length of the shorter segment. Label the lengths.

Answer: Student draws segments with lengths in ratio 2:1, for example, 4cm and 2cm.

Question 5: A total of 240 students are split into two classes in the ratio 3:2. How many students are in each class?

Answer: 144 and 96

Question 6: A pair of scissors is 15 cm long. Draw a line segment on the grid that is twice as long. Show your work.

Answer: Segment of 30 cm, on grid scaled accordingly, with the shorter segment of 15 cm.

Question 7: A garden is divided into two sections in the ratio 2:3. If the larger section is 75 square meters, what is the total area of the garden?

Answer: 30 square meters

Question 8: A car travels 120 km in 2 hours. If it continues at the same speed, how far will it travel in 5 hours? Plot the distance traveled over time on the grid.

Answer: 300 km

Question 9: A mixture contains two types of nuts in the ratio 3:4. If there are 21 nuts of the first type, how many nuts of the second type are there?

Answer: 28

Question 10: A factory produces 150 units of product A and B in the ratio 5:4. How many units of each are produced?

Answer: 83 and 67

Question 11: Identify and correct the mistake: Sharing 48 items in the ratio 2:3 gives 20 items in the first part and 28 in the second.

Answer: Incorrect; sharing 48 items in ratio 2:3 divides into 19.2 and 28.8, or properly, 20 and 28 if rounded, but the ratio parts are 2 and 3, total 5 parts, so 48/5=9.6 per part; first part=19.2 (rounded to 20), second=28.8 (rounded to 29).