Numeracy: Measurement and Geometry Flashcards

A gardener is planning a new L-shaped garden bed. One rectangular section is 4 metres long and 2 metres wide. The other adjoining rectangular section is 3 metres long and 2 metres wide. What is the total area of the garden bed?

Answer: 14 m²

The L-shaped garden can be split into two separate rectangles. The area of the first rectangle is calculated as length × width (4m × 2m = 8 m²). The area of the second rectangle is also length × width (3m × 2m = 6 m²). The total area is the sum of these two areas: 8 m² + 6 m² = 14 m².

A rectangular community park measuring 50 metres long and 30 metres wide needs a new fence. The fencing costs $45 per metre. What is the total cost to fence the entire park?

Answer: $7,200

First, calculate the perimeter of the park: (50m + 30m) × 2 = 160 metres. This is the total length of fencing required. Then, multiply the total perimeter by the cost per metre: 160m × $45/m = $7,200.

A shipping container is a rectangular prism with a length of 6 metres, a width of 2.5 metres, and a height of 2 metres. What is the volume of the container in cubic metres?

Answer: 30 m³

To find the volume of a rectangular prism, you multiply its length, width, and height. The calculation is 6 metres × 2.5 metres × 2 metres = 30 cubic metres (m³).

A baker needs 3.5 kilograms of flour for a large order. They only have 750-gram bags of flour. How many full bags of flour must the baker open to have enough flour for the order?

Answer: 5 bags

First, convert the total required flour from kilograms to grams: 3.5 kg × 1000 g/kg = 3500 grams. Next, divide the total amount needed by the amount in each bag: 3500 g ÷ 750 g/bag = 4.66.... Since the baker cannot use a fraction of a bag and needs at least 3500 grams, they must open 5 full bags. 4 bags would only provide 3000g, which is not enough.

A movie starts at 7:45 PM and has a runtime of 130 minutes. There are no advertisements or trailers. At what time will the movie finish?

Answer: 9:55 PM

The runtime of 130 minutes is equal to 2 hours and 10 minutes (since 130 ÷ 60 = 2 with a remainder of 10). Add 2 hours to the start time of 7:45 PM to get 9:45 PM. Then, add the remaining 10 minutes to get the final time of 9:55 PM.

Three angles lie on a straight line. Two of the angles are known to be 40° and 65°. What is the size of the third angle?

Answer: 75°

The sum of angles on a straight line is always 180°. To find the missing angle, add the known angles together (40° + 65° = 105°) and subtract this sum from 180°. The calculation is 180° - 105° = 75°.