Practice Test Geeks(LLN) Language Literacy and Numeracy Test Practice Test
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Numeracy and Problem Solving Flashcards

6 cards from real LLN practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Numeracy and Problem Solving flashcards as text

  1. A painter needs to mix blue and white paint in a ratio of 3:2 to create a specific shade of light blue. If they need to make a total of 40 litres of light blue paint, how many litres of blue paint are required?

    Answer: 24 litres

    The ratio 3:2 means there are 3+2=5 parts in total. To find the amount for one part, divide the total volume by the total number of parts: 40 litres / 5 parts = 8 litres per part. The amount of blue paint is 3 parts, so 3 parts * 8 litres/part = 24 litres.

  2. A construction site has a rectangular safety zone that measures 15.5 metres by 8 metres. What is the total area of the safety zone in square metres?

    Answer: 124 square metres

    The area of a rectangle is calculated by multiplying its length by its width. In this case, Area = 15.5 metres * 8 metres = 124 square metres.

  3. An invoice for a total of $450 has a 10% Goods and Services Tax (GST) included in the price. Which of the following is the correct calculation to find the original price before the GST was added?

    Answer: $450 / 1.10

    The total price ($450) represents 110% of the original price (100% original + 10% GST). To find the original price, you need to divide the total amount by 1.10.

  4. A landscaper charges a $50 call-out fee plus $35 per hour for their services. If a job takes 4.5 hours to complete, what will be the total charge?

    Answer: $207.50

    First, calculate the cost for the hours worked: $35/hour * 4.5 hours = $157.50. Then, add the fixed call-out fee: $157.50 + $50 = $207.50.

  5. A factory produces 1,200 units per day. If 5% of the units are found to be defective, how many units are NOT defective?

    Answer: 1,140 units

    First, find the number of defective units: 1,200 * 0.05 = 60 units. Then, subtract the defective units from the total: 1,200 - 60 = 1,140 units. Alternatively, if 5% are defective, then 95% are not. 1,200 * 0.95 = 1,140 units.

  6. A worker needs to cut a 3.6-metre pipe into smaller pieces that are each 40 centimetres long. What is the maximum number of full pieces they can cut?

    Answer: 9

    First, ensure both measurements are in the same unit. Convert the pipe length to centimetres: 3.6 metres * 100 cm/metre = 360 cm. Then, divide the total length by the length of each piece: 360 cm / 40 cm/piece = 9 pieces.