Numeracy (Questions 181 – 190) Welcome to the OLNA Support Numeracy Skill Builder Each question will be multiple choice There will be 4 answers to select from If you can’t figure out the answer, you should use the “Explanation of the Answer” as a guide to work out the correct response There maybe alternate ways to find these answers - this is only our suggested way. If you know another way to figure out the answer, follow that method! Click next to begin! Question 181.It costs $2.10 to send a 50 g letter from Australia to New Zealand.Select the stamps that would be found on the envelope.Explanation of answer:Step 1: The question states that it costs \$2.10 to send a letter from Australia to New Zealand. You need to find out which three stamps were used on the letter to make \$2.10. You will need to add the prices on the stamps to find the total.Step 2: Add items A, B & D together. 60c + \$1 + 70c = \$2.30. Not the correct answer.Step 3: Add items B, C & D together. \$1 + 50c + 70c = \$2.20. Not the correct answer.Step 4: Add items A, C & D together. 60c + 50c + 70c = $1.80. Not the correct answer.Step 5: Add items A, B & C together. 60c + \$1 + 50c = \$2.10. The correct answer.Step 6: There are other combinations that will give a total of \$2.10 (e.g. C + C + C + A = 50c + 50c + 50c + 60c = \$2.10, or D + D + D = 70c + 70c + 70c = $2.10.), but to answer this question we only need to consider the combinations a), b), c) and d) provided as possible answers. Since there are four different stamp combinations to consider, this question requires a process of elimination to determine the correct answer. This process is shown above.Step 7: The correct answer is – d) A, B & C. a) A, B & D Refer to Explanation of Answer b) B, C & D Refer to Explanation of Answer c) A, C & D Refer to Explanation of Answer d) A, B & C Correct Answer None Question 182. This tally chart shows the essay results of students in an English class. A mark of 27 or more is considered to be a good mark. How many students received a good mark? Explanation of answer: Step 1: When reading this tally chart every stroke represents one student. The question tells us that a mark of 27 or more is considered a good mark. This means we need to count all the students who scored 27 or more. Step 2: Count the students that received 27 marks: 4 Step 3: Then count the students who received 28, 29 and 30 marks: 5, 0, 2 Step 4: Add those totals: 4 + 5 + 0 + 2 = 11 Step 5: There are 11 students who have received 27 marks or more for their English essay. Step 6: The correct answer is – b) 11. a) 9 Refer to Explanation of Answer b) 11 Correct Answer c) 12 Refer to Explanation of Answer d) 14 Refer to Explanation of Answer None Question 183.A whale shark tour company in Ningaloo offers full day whale shark tours for tourists.Which expression gives the correct total cost in dollars, for 2 adults and 3 children of ages 8, 9 and 11 years?Explanation of answer:Step 1: To complete this answer you must understand how the order of operations acronym BIMDAS (brackets, indices, multiplication, division, addition and subtraction) works. You don’t actually need to calculate an answer, but you will need to know how BIMDAS works.Step 2: The main concept in this question is knowing what the figures within the brackets mean. The single digit number is the number of people and the larger number is the cost. We need to match the number of people and cost in the choices presented, to what the question asked us. The Whale Shark Tour has 2 adults and 3 children attending.Step 3: Looking at the answers given, we should look to see if the numbers presented to us are correct. Let’s go through each answer.Step 4: a) (2 x 350) + 280 : Inside the brackets the 2 represents 2 adults and the 350 represents the cost for each adult, however, having only one cost of 280, means that there is only one child attending. This doesn’t match the question. This is not the correct answer.Step 5: b) (2 x 350) + (3 x 280) : Inside the first brackets the 2 represents 2 adults and the 350 represents the cost for each adult. Inside the second brackets the 3 represents 3 children and the 280 represents the cost for each child. This means there are 2 adults and 3 children going on the tour. This does match the question. This is the correct answer.Step 6: c) (5 x 350) + (5 x 280) : Inside the first brackets the 5 represents 5 adults and the 350 represents the cost for each adult. Inside the second brackets the 5 represents 5 children and the 280 represents the cost for each child. This means there are 5 adults and 5 children going on the tour. This doesn’t match the question. This is not the correct answer.Step 7: d) (2 x 350) + (3 x 310) : Inside the first brackets the 2 represents 2 adults because the cost is \$350 each. Inside the second brackets the 3 represents 3 seniors because the cost is \$310 each. This means there are 2 adults and 3 seniors going on the tour. This does not match the question. This is not the correct answer.Step 8: The correct answer is – b) (2 x 350) + (3 x 280) a) (2 x 350) + 280 Refer to Explanation of Answer b) (2 x 350) + (3 x 280) Correct Answer c) (5 x 350) + (5 x 280) Refer to Explanation of Answer d) (2 x 350) + (3 x 310) Refer to Explanation of Answer None Question 184. Evie has a recipe for 2 servings of Malaysian chicken Mie Goreng. She wants to make just one serving for herself. How many grams of dried egg noodles would Evie need? Explanation of answer: Step 1: When reading this question there are 2 important pieces of information that you must use to find the answer. The first is that the recipe is for 2 servings, the second is that Evie only wants to make 1 serving. Essentially, she wants to halve the recipe for herself. Step 2: Since we know Evie wants to halve the recipe, the next part of the question asks us how many grams of dried egg noodles she would need. We need to halve the amount of dried egg noodles to get the answer. Step 3: The recipe uses 150 g of egg noodles. Divide 150 by 2 to get the answer. 150 g ÷ 2 = 75 g Step 4: Alternatively, split 150 g into 140 g and 10 g and divide both by 2. 140 g ÷ 2 = 70 g, 10 g ÷ 2 = 5 g. 70 g + 5 g =75 g Step 5: The correct answer is – a) 75 g. a) 75 g Correct Answer b) 100 g Refer to Explanation of Answer c) 225 g Refer to Explanation of Answer d) 300 g Refer to Explanation of Answer None Question 185.A survey of 100 people was taken at a bakery. Those 100 people were asked to give a response to the following question: “Do you like chocolate muffins?” 60% of the people surveyed said “yes” 1⁄5 of the people surveyed said “no” The rest of the people surveyed said “sometimes” How many people surveyed said “no” to the question?Explanation of answer:Step 1: We are asked how many people said “no” to the question. This requires you use the fraction given on the second dot point and apply that fraction to the whole number given.Step 2: In this case the fraction is 1⁄5 and the whole number is 100.Step 3: 1⁄5 is the same as saying 20% and 20% of 100 is 20. Alternatively, consider that you want to work out one fifth of the people surveyed. One fifth of 100 can be written as: 1/5 x 100 which is the same as:100⁄5 = 20 Step 4: There were 20 people surveyed who answered “no” to the question asked.Step 5: The correct answer is – d) 20. a) 60 Refer to Explanation of Answer b) 30 Refer to Explanation of Answer c) 25 Refer to Explanation of Answer d) 20 Correct Answer None Question 186. What is the temperature shown on this thermometer? Explanation of answer: Step 1: Looking at the thermometer we can see the notations on the right increase in increments of 10. The answers are all given in degrees Celsius, so this means we are looking at a thermometer measuring in degrees Celsius and increasing in “major increments” of 10 °C. Step 2: We can also see that between the major increments there are small lines that indicate “minor increments” in temperature. If we look between the 20 °C and 30 °C line, we can see that there are 4 smaller lines. Each of these 4 lines indicates an increase of 2 °C on the thermometer. So, for example, if the red fluid column lined up with the small line above the 20 °C mark, it would indicate a temperature reading of 22 °C. Step 3: The red fluid in this thermometer indicates the temperature in degrees Celsius – the higher the fluid column, the hotter the temperature. In this case the red fluid column ends below the 20 °C line. We can see that it ends in line with the smaller line below the 20 °C mark. If the smaller line indicates a difference of 2 °C, then we must subtract 2 °C from the 20 °C mark to give us our answer. Step 4: 20 °C – 2 °C = 18 °C Step 5: The correct answer is – c) 18 °C a) 20 °C Refer to Explanation of Answer b) 19 °C Refer to Explanation of Answer c) 18 °C Correct Answer d) 16 °C Refer to Explanation of Answer None Question 187.A department store offers birthday voucher discounts to its store members.Kat wanted to use her voucher to get 20% off the price of a new coat.The full price of the coat was $260.How much will Kat save by using the voucher?Explanation of answer:Step 1: To find out how much Kat saved by using the 20% discount voucher, we must be able to manipulate percentages to find that answer.Step 2: The starting point is to find 10% of \$260. To find this, we move the decimal place one place to the left (This is 10% of \$260). This gives us $26.Step 3: Now to find 20% we simply double \$26 (since 20% is twice as much as 10%). \$26 x 2 = $52.Step 4: Kat saved $52 on buying her new coat.Step 5: The correct answer is – b) $52 a) $64 Refer to Explanation of Answer b) $52 Correct Answer c) $48 Refer to Explanation of Answer d) $41 Refer to Explanation of Answer None Question 188. The forecast for Bunbury indicates there is a 70% chance of rain on Thursday. Which of the following best describes the likelihood of rain on Thursday? Explanation of answer: Step 1: To answer this question we need to understand what a percentage means as a chance event. The closer the percentage is to 100% the higher the chance of that event occurring. The closer to 0% the lower the chance of that event occurring. Step 2: The question states that the chance of rain is 70%. Included in the picture text it states a “High (70%) chance of rain.” These figures and statements should tell us that there is a high or likely chance of rain. Step 3: When looking at the answers, we know that the options of “Unlikely” and “Even Chance” are not viable options as an answer. Certain would indicate a 100% chance of rain. The option “Likely” is very similar in nature to the statement: “A high chance of rain (70%)” Step 4: This would indicate: d) Likely, as the most appropriate answer. Step 5: The correct answer is – d) Likely a) Unlikely Refer to Explanation of Answer b) Even chance Refer to Explanation of Answer c) Certain Refer to Explanation of Answer d) Likely Correct Answer None Question 189. Carlos went to watch a Queen tribute band at the Sydney Opera House. The performance was an afternoon session and started at 3.02pm The watch face below shows the time the performance finished. How long did the concert go for? Explanation of answer: Step 1: The time on the watch face is 5:22pm. The question states that the concert started at 3:02pm. We need to find out how many minutes the concert went for. Step 2: We should break up the times to make the calculation easier. The difference between 3:02pm and 5:02pm is exactly 2 hours, which is 120 minutes. Step 3: The difference from 5:02pm to 5:22pm is 20 minutes. Step 4: We now add the 120 minutes and 20 minutes together to get our answer. 120 mins + 20 mins = 140 mins. The performance went for 140 minutes. Step 5: The correct answer is – c) 140 minutes a) 90 minutes Refer to Explanation of Answer b) 110 minutes Refer to Explanation of Answer c) 140 minutes Correct Answer d) 170 minutes Refer to Explanation of Answer None Question 190. A recreation camp site offers camp accommodation to school groups. They have 12 beds in each of their rooms If a school has 81 students staying at the campsite, what is the least number of rooms needed so that every student has a bed? Explanation of answer: Step 1: The quickest way to answer this question, is to use the 12 times tables to find out how many rooms are required. We need to get an answer above 81 to determine the number of rooms. Step 2: In looking at the answers provided, let’s do the math: 12 x 5 = 60, 12 x 6 = 72, 12 x 7 = 84 and 12 x 8 = 96. Step 3: We can see that 12 x 7 = 84. This is more that the required 81 beds needed, and the least amount of rooms needed for the 81 students. Step 4: This means that 7 rooms are required to accommodate 81 students (with 3 beds left empty). Step 5: The correct answer is – c) 7 a) 5 Refer to Explanation of Answer b) 6 Refer to Explanation of Answer c) 7 Correct Answer d) 8 Refer to Explanation of Answer None Time's up Submit a CommentYour email address will not be published. Required fields are marked *Comment * Name Email Website Δ
