Grade 3 Measurement Olympiad – Advanced Level

Time Allowed: 1 Hour

Total Marks: 50

Instructions:

1. Read each question carefully.
2. Show all workings where necessary.
3. Write your answers clearly in the space provided.
4. Marks for each question are indicated in brackets.

Section A: Multiple Choice Questions (2 marks each)

(10 Marks)

1. A container holds 2.5 liters of juice. If you pour the juice into glasses that each hold 250 milliliters, how many full glasses can you fill?
   a) 8
   b) 10
   c) 12
   d) 14
2. A rectangular garden has a length of 15 meters and a width of 10 meters. What is the perimeter of the garden?
   a) 25 meters
   b) 50 meters
   c) 60 meters
   d) 75 meters
3. If a train travels at a speed of 80 kilometers per hour, how far will it travel in 45 minutes?
   a) 40 km
   b) 50 km
   c) 60 km
   d) 70 km
4. A piece of ribbon is 3 meters long. How many pieces of 25 centimeters can be cut from it?
   a) 10
   b) 12
   c) 15
   d) 18
5. Which of the following is the lightest?
   a) 500 grams
   b) 0.75 kilograms
   c) 1,000 milligrams
   d) 1 kilogram

Section B: Fill in the Blanks (3 marks each)

(15 Marks)

6. A swimming pool is 25 meters long and 10 meters wide. The area of the pool is __________ square meters.
7. A bottle contains 1.25 liters of water. This is equivalent to __________ milliliters.
8. A bus departs at 8:15 AM and arrives at its destination at 11:45 AM. The total travel time is __________ hours and __________ minutes.
9. A package weighs 3.5 kilograms. This is equal to __________ grams.
10. The perimeter of an equilateral triangle is 45 centimeters. Each side of the triangle is __________ centimeters long.

Section C: Short Answer Questions (5 marks each)

(15 Marks)

11. A cyclist travels 24 kilometers in 80 minutes. What is his speed in kilometers per hour?
12. A water tank has a capacity of 500 liters. If 120 liters are used daily, how many days will it take to empty the tank completely?
13. A rectangular field has a length of 150 meters and a width of 90 meters. Calculate the perimeter and the area of the field.

Section D: Word Problems (5 marks each)

(10 Marks)

14. Emma has a piece of fabric that is 4.5 meters long. She needs to cut it into pieces, each 30 centimeters long, to make scarves. How many complete pieces can she cut, and how much fabric will be left over?
15. A recipe requires 200 grams of sugar for one batch of cookies. If Liam has 1.5 kilograms of sugar, how many batches can he make, and how much sugar will remain?

Answer Key

Section A: Multiple Choice Questions

(2 marks each)

1. b) 10
   Explanation:
   • Total juice: 2.5 liters = 2,500 milliliters.
   • Each glass holds 250 milliliters.
   • Number of full glasses: 2,500 ml ÷ 250 ml/glass = 10 glasses.
2. b) 50 meters
   Explanation:
   • Perimeter of a rectangle = 2 × (Length + Width).
   • Perimeter = 2 × (15 m + 10 m) = 2 × 25 m = 50 meters.
3. a) 60 km
   Explanation:
   • 45 minutes = 0.75 hours.
   • Distance = Speed × Time = 80 km/h × 0.75 h = 60 kilometers.
4. b) 12
   Explanation:
   • 3 meters = 300 centimeters.
   • Number of pieces: 300 cm ÷ 25 cm/piece = 12 pieces.
5. c) 1,000 milligrams
   Explanation:
   • 1,000 milligrams = 1 gram.
   • Comparing: 1 gram < 500 grams < 0.75 kilograms (750 grams) < 1 kilogram (1,000 grams).

Section B: Fill in the Blanks

(3 marks each)

6. 250
   Explanation:
   • Area = Length × Width = 25 m × 10 m = 250 square meters.
7. 1,250
   Explanation:
   • 1 liter = 1,000 milliliters.
   • 1.25 liters = 1.25 × 1,000 = 1,250 milliliters.
8. 3 hours and 30 minutes
   Explanation:
   • From 8:15 AM to 11:45 AM:
     • 8:15 AM to 11:15 AM = 3 hours.
     • 11:15 AM to 11:45 AM = 30 minutes.
   • Total time: 3 hours and 30 minutes.
9. 3,500
   Explanation:
   • 1 kilogram = 1,000 grams.
   • 3.5 kilograms = 3.5 × 1,000 = 3,500 grams.
10. 15
    Explanation:
    • Perimeter of an equilateral triangle = 3 × Side length.
    • 45 cm = 3 × Side length.
    • Side length = 45 cm ÷ 3 = 15 centimeters.

Section C: Short Answer Questions

(5 marks each)

11. 18 kilometers per hour
    Explanation:
    • 80 minutes = 80/60 hours = 4/3 hours.
    • Speed = Distance ÷ Time = 24 km ÷ (4/3) h = 24 km × (3/4) = 18 km/h.
12. Approximately 4 days
    Explanation:
    • Total capacity: 500 liters.
    • Daily usage: 120 liters.
    • Number of days: 500 liters ÷ 120 liters/day ≈ 4.17 days.
    • Since partial days aren’t practical in this context, it will take 4 full days to use 480 liters, leaving 20 liters remaining.
13. Perimeter: 480 meters; Area: 13,500 square meters
    Explanation:
    • Perimeter = 2 × (Length + Width) = 2 × (150 m + 90 m) = 2 × 240 m = 480 meters.
    • Area = Length × Width = 150 m × 90 m = 13,500 square meters.

Section D: Word Problems

(5 marks each)

14. 15 complete pieces; 0 centimeters left over
    Explanation:
    • 4.5 meters = 450 centimeters.
    • Each piece: 30 centimeters.
    • Number of pieces: 450 cm ÷ 30 cm/piece = 15 pieces.
    • No fabric left over.
15. 7 batches; 100 grams of sugar remaining
    Explanation:
    • 1.5 kilograms = 1,500 grams.
    • Each batch requires 200 grams.
    • Number of batches: 1,500 g ÷ 200 g/batch = 7 batches with a remainder of 100 grams.
    • Sugar remaining: 100 grams.