Numeracy (Questions 151-160) Show session ID Load QuizSave Quiz 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 151. Bob and his friends regularly volunteer at a soup kitchen. The weekly roster for all the friends is below. How many days were Joe, Mia and Helen rostered to work on the same day? Explanation of answer: Step 1: Let’s find the days that Joe, Mia and Helen each worked and then we can see if they worked on the same days. We are looking for the green rectangles under each name as they are the days they worked. Step 2: Joe worked: Monday, Thursday and Sunday. Step 3: Mia worked: Monday, Thursday and Friday. Step 4: Helen worked: Monday, Saturday and Sunday. Step 5: The only common day they all worked was Monday. They were only rostered to work 1 day together. Step 6: The correct answer is – b) 1 day a) 0 days Refer to Explanation of Answer b) 1 day Correct Answer c) 2 days Refer to Explanation of Answer d) 4 days Refer to Explanation of Answer None Question 152. Gabriel went to the shop to buy some chewing gum. In one packet there were 14 sticks of gum. He bought 3 packets. How many sticks of gum did he have in total? Explanation of answer: Step 1: If there were 14 sticks in one packet and Gabriel bought 3 packets, we have to multiply 14 by 3 to find out how many sticks of gum in total. Step 2: We can break the 14 into two totals, 10 and 4 and multiply them each by 3. 10 x 3 = 30 and 4 x 3 = 12. We then add the two totals together to give us our final answer. 30 + 12 = 42. Step 3: The total amount of sticks of gum is 42. Step 6: The correct answer is – d) 42 a) 32 Refer to Explanation of Answer b) 36 Refer to Explanation of Answer c) 40 Refer to Explanation of Answer d) 42 Correct Answer None Question 153. Isla has 3 bags of Snakes from The Natural Confectionery Company. There are 18 snakes in each bag. She wants to divide up the snakes in 5 bags for herself and her friends. If she divides up the snakes equally per bag, how many snakes are left over? Explanation of answer: Step 1: This question requires you to find out how many snakes Isla has and then divide them into the paper bags equally. We need to multiply 3 bags of 18 snakes: 3 x 18 = 54 snakes (3 x 10 = 30, 8 x 3 = 24, and 30 + 24 = 54). Step 2: As we have 5 bags we want to be working with multiples of 5. 50 and 55 are multiples of 5, but 54 is not. We can divide 50 snakes into the 5 bags equally. 50 ÷ 5 = 10, so each bag would get 10 snakes. This leaves us with 4 snakes left over that cannot be divided equally into the bags. Step 3: Isla is left with 4 snakes that can’t be placed equally into the bags. Step 4: The correct answer is – b) 4. a) 3 Refer to Explanation of Answer b) 4 Correct Answer c) 5 Refer to Explanation of Answer d) 7 Refer to Explanation of Answer None Question 154. Kayla left work early to attend an appointment. It took her 25 minutes to drive to the appointment. The appointment took 30 minutes. She then had to drive home which took her 45 minutes. She arrived home at 6:10pm. What time did Kayla leave work for her appointment? Explanation of answer: Step 1: There are several times that we must consider in trying to figure out when Kayla left work. We should add all the times spent travelling and the appointment time first. Step 2: Travel time 1 = 25 mins, appointment time = 30 mins, travel time 2 = 45 mins. 25 mins + 30 mins = 55 mins. 55 mins + 45 mins = 1 hour and 40 mins. Kayla spent 1 hour and 40 mins travelling and at the appointment. Step 3: Kayla got home at 6:10pm. We need to subtract 1 hour and 40 mins off that time to find out what time she left work. Let’s break the 1 hour and 40 mins into two parts and work with each number. Step 4: 6:10pm – 40 mins = 5:30pm. 5:30pm – 1 hour = 4:30pm Step 5: Kayla left work at 4:30pm to leave for her appointment. Step 6: The correct answer is – d) 4:30pm. a) 4:55pm Refer to Explanation of Answer b) 4:45pm Refer to Explanation of Answer c) 4:39pm Refer to Explanation of Answer d) 4:30pm Correct Answer None Question 155.A factory’s management collected data about its work force.It collected that data in two different ways.Use the information from both tables to determine the correct statement.Explanation of answer:Step 1: To find out the correct statement we need to go through each statement a look at their respective details.Step 2: Statement a): Experienced workers have worked for 1 year. We can see on the left hand table that experienced workers have worked for 2 – 4 years. This statement is incorrect.Step 3: Statement b): A level 6 worker is considered a very experienced worker. When looking at the right hand table we can see that a level 6 worker has worked between 4 – 5 years. This links with the table on the left that says very experienced workers have worked for 4+ years. This statement is correct. Step 4: Statement c): A worker with little experience would be a level 4 worker. Looking at the right hand side table we can see that a level 4 worker has 2 – 3 years of experience. This amount of years experience places them as an experienced worker. This statement is incorrect.Step 5: Statement d) A very experienced worker has worked for at least 3 years. Looking at the right hand table we can see that a very experienced worker has worked for 4+ years. This statement is incorrect.Step 6: The correct answer is – b) A level 6 worker is considered a very experienced worker. a) Experienced workers have worked for 1 year Refer to Explanation of Answer b) A level 6 worker is considered a very experienced worker Correct Answer c) A worker with little experience would be a level 4 worker Refer to Explanation of Answer d) A very experienced worker has worked for at least 3 years Refer to Explanation of Answer None Question 156.Two hotels rent out rooms to paying customers.Hotel one charges $1500 for a 7 night stayHotel two charges ¾ of Hotel one’s price.What is Hotel two’s price for 7 nights?Explanation of answer:Step 1: To answer this question we must first find out what is one quarter of \$1,500. From there was can work out ¾ of \$1,500.Step 2: Half of \$1,500 would be \$750. To find half of \$750, we should split the number into two parts: \$700 and \$50. Half of \$700 = \$350 and Half of \$50 is \$25. We need to add those two numbers together. \$350 + \$25 = \$375. This is one quarter of \$1,500.Step 3: If a quarter of \$1,500 is \$375 and a half of \$1,500 is \$750 then we need to add that quarter and half together to get three quarters. We can split the numbers into easier parts to make the addition. \$750 becomes \$700 and \$50. \$375 becomes \$300 and \$75. We can add \$700 and \$300 to get \$1,000. Adding \$75 and \$50 together gives \$125. So \$1,000 add \$125 = \$1,125.Step 4: Hotel two charges \$1,125 for a 7 night stay.Step 5: The correct answer is – d) $1,125. a) $965 Refer to Explanation of Answer b) $1,000 Refer to Explanation of Answer c) $1,075 Refer to Explanation of Answer d) $1,125 Correct Answer None Question 157. Lucas was making a picnic table for his outdoor alfresco area. He was fastening the last nuts and bolts into the table. When fastening one nut, he turned his wrench through 7 half revolutions to tighten the nut. How man degrees did Lucas turn the wrench through? Explanation of answer: Step 1: The question states that the wrench went through 7 half revolutions. One revolution is 360 degrees, so a half revolution would be 180 degrees. We would have to multiply 180 by 7 to find out our answer. Step 2: Let’s break down the number 180 into two parts; 100 and 80. Let’s multiply 100 by 7 = 700. Let’s multiply 80 by 7 = 560. Add 700 and 560 together to give = 1,260 degrees. Alternate Step 2: 180 x 2 = 360 = 1 full revolution. 7 half revolutions is equal to 3 full revolutions and 1 half revolution. 3 x 360 = 1,080 degrees. 1080 + 180 = 1,260 degrees. Step 3: Lucas had to turn the wrench through 1,260 degrees to fasten the nut to the picnic table. Step 4: The correct answer is – c) 1,260 degrees. a) 900 degrees Refer to Explanation of Answer b) 1,080 degrees Refer to Explanation of Answer c) 1,260 degrees Correct Answer d) 1,440 degrees Refer to Explanation of Answer None Question 158. A cricket sight screen is used so a batsman can see the cricket ball clearly as it comes out of a bowler’s hand. Sight screens are rectangular in size, mostly 4 m by 5 m and are placed at the edge of the oval behind the bowler’s run up. What is the area of the 4 m by 5 m sight screen in square centimetres (cm2)? Explanation of answer: Step 1: When working with figures that need conversion it is best to know some base measurements. For example: 1 m by 1 m = 1 m2 and 100 cm x 100 cm = 10,000 cm2. Step 2: In this case we are working with metres and converting into centimetres. As there are 100 centimetres in 1 meter we must convert the original values into centimetres to find out our answer. Step 3: So 4 m = 400 cm and 5 m = 500 cm. To get the answer we must multiply 400 cm by 500 cm. The best way to do this is to remove the 4 zeros off the 400 and 500 and add them onto the end of the answer. For example we multiply 4 by 5 to get 20. We then add those same 4 zeros onto the end of the 20 to give us 200,000. Step 4: This means that 400 cm by 500 cm equals 200,000 cm2. Step 5: The correct answer is – a) 200,000 cm2. a) 200,000 cm2 Correct Answer b) 185,000 cm2 Refer to Explanation of Answer c) 160,000 cm2 Refer to Explanation of Answer d) 144,000 cm2 Refer to Explanation of Answer None Question 159. Brett was selling his boat for \$165,000.Three weeks later the price was reduced by \$25,000He ended up selling the boat for 5% less than the reduced price.How much did he sell the boat for?Explanation of answer:Step 1: You need to figure out what the reduced cost would be first. So \$165,000 minus \$25,000 = \$140,000.Step 2: From there you need to figure out what 5% of \$140,000 is. 10% of \$140,000 = \$14,000. 5% is half of 10% so half of \$14,000 is \$7,000.Step 3: Then we must subtract \$7,000 from \$140,000. Subtracting \$7,000 from \$140,000 would be \$133,000. So the price Brett sold the boat for was \$133,000.Step 4: The correct answer is – b) $133,000 a) $130,000 Refer to Explanation of Answer b) $133,000 Correct Answer c) $135,000 Refer to Explanation of Answer d) $138,000 Refer to Explanation of Answer None Question 160. Jack bought a new iPhone. It has a 128 gigabyte (GB) hard drive. He notices that 5% of the storage space is already used for the iPhone operating system. How much space is left on his new iPhone? Explanation of answer: Step 1: When figuring out the percentage for this question you should first find 10% of the total amount (128 GB). Step 2: To find 10% of 128, we move the decimal point one place value to the left. This will give you 12.8 (If you multiply 12.8 by 10 you would get 128 which is 100% of Jack’s iPhone space). Step 3: Once you have found 10% then you need to find 5% as this is the amount of space used on the iPhone. As 12.8 is 10% of the total we simply divide 12.8 by 2 to get 5% of the total. So 12.8 ÷ 2 = 6.4. This means that 6.4 GB of storage space is already used. Step 4: To find out how much space is left on his new iPhone we need to subtract 6.4 GB (5% of storage space) from 128 GB. As this value has a decimal point let’s split the 6.4 into 6 and 0.4 and subtract each separately. 128 GB – 6 GB = 122 GB and 122 GB – 0.4 GB = 121.6 GB. Step 5: There is 121.6 GB of storage space left on Jack’s new iPhone. Step 5: The correct answer is – d) 121.6 GB. a) 98.9 GB Refer to Explanation of Answer b) 105.6 GB Refer to Explanation of Answer c) 114.2 GB Refer to Explanation of Answer d) 121.6 GB Correct Answer None Time's up Submit a CommentYour email address will not be published. Required fields are marked *Comment * Name Email Website Δ
