Numeracy (Questions 141-150) 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 141 a.Bianca’s recipe for 10 banana muffins is:400g flour500g sugar2 eggs300g of banana20g baking sodaa) If Bianca wants to make 16 muffins, how much sugar does she need to use?Explanation of answer:Step 1: Firstly we know that 10 muffins needs 500g of sugar in the recipe. We need to find out how much sugar is needed for 6 muffins.Step 2: To do this we need to find out how much sugar is needed for 1 muffin. To find this we divide 500g by 10 = 50g. One muffin takes 50g of sugar to make. If we now multiply 50g by 6 we will get the amount of sugar we need. 50g x 6 = 300g. To make the extra 6 muffins Bianca needs an additional 300g of sugar.Step 3: We now need to add the 500g and 300g to find out the total amount of sugar needed for the 16 muffins. 500g + 300g = 800g.Step 4: The correct answer is d) 800g Please select your answer a) 640g b) 700g c) 780g d) 800g Question 141 b.Bianca’s recipe for 10 banana muffins is:400g flour500g sugar2 eggs300g of banana20g baking soda From question 141 a. Bianca actually made 16 muffins.b) If Bianca gives away half of her muffins and eats 1 muffin, how many muffins does she have now?Explanation of answer:Step 1: Bianca gives away half of her muffins. This means we need to divide the total by 2. 16 ÷ 2 = 8. Bianca then eats one herself. This means we subtract 1 muffin from the total. 8 – 1 = 7. She has 7 muffins left.Step 2: The correct answer is c) 7 Please select your answer a) 3 b) 5 c) 7 d) 9 Question 142.Georgie wanted to buy some new shoes. The shoes cost $60 a pair. When she went to pay for the shoes, the sales assistant said there was special deal for buying shoes.She could buy one pair of shoes and get ¼ off the price of the second pair of shoes.How much did Georgie pay for the two pairs of shoes?Explanation of answer:Step 1: The first step in answering this question would be to find the ¼ off the \$60. ¼ is a ½ of a ½. Half of \$60 is \$30 and half of \$30 is \$15. \$15 is a ¼ of \$60. Now we need to subtract \$15 from \$60. \$60 – \$15 = \$45.Step 2: We now have our two prices for the shoes. The first pair is \$60 and the second pair is \$45. We need to add these two values together to find our total cost. So \$60 + \$45 = \$105.Step 3: The cost of the two pairs of shoes is $105.Step 4: The correct answer is – a) $105 a) $105 Correct Answer b) $95 Refer to Explanation of Answer c) $60 Refer to Explanation of Answer d) $35 Refer to Explanation of Answer e) $15 Refer to Explanation of Answer None Question 143. A swimmer is training for an international event. The swimmer swims 3.4 kilometres 3 times a week and also swims on the weekend. The total distance for the week is 21 kilometres. What is the distance swum on the weekend? Explanation of answer: Step 1: To find out the total distance swum on the weekend we must first find out how many kilometres they have swum during the week. That person swum 3.4 km, 3 times a week. So 3 x 3 km = 9 km and 3 x 0.4 km = 1.2 km. 9 km + 1.2 km = 10.2 km. Step 2: Now that we know they swum 10.2 km during the week we can subtract that total from 21 km to give us the distance swum on the weekend. 21 km – 10.2 km = 10.8 km. Step 3: Alternatively we can do it this way: 21 km – 10 km = 11 km. 11 km – 0.8 km = 10.8 km. Step 4: They swum 10.8 km on the weekend. Step 5: The correct answer is – d) 10.8 km a) 5.6 km Refer to Explanation of Answer b) 7.3 km Refer to Explanation of Answer c) 9.2 km Refer to Explanation of Answer d) 10.8 km Correct Answer None Question 144. A triangular pyramid has three edges on its base and three edges reaching to the apex of the pyramid. This gives a total of 6 edges for a triangular pyramid. A square pyramid has four edges on its base and four edges reaching to the apex of the pyramid. This give a total of 8 edges for a square pyramid. How many edges would a hexagonal pyramid have? Explanation of answer: Step 1: First we must know how many edges a hexagon has to determine how many edges in a hexagonal pyramid. Hex means six, so a hexagon has six sides and a hexagonal pyramid’s base would have six edges. Step 2: If we look at the pattern developed in the other pyramids, 3 edges on the base, 3 edges to the apex = 6 edges. 4 edges on the base, 4 edges to the apex = 8 edges. We can deduce that 6 edges on the base and 6 edges to the apex will give 12 edges on this type of pyramid. Look at this model to check: Step 3: The amount of edges on a hexagonal pyramid would be 12. Step 4: The correct answer is – c) 12 edges a) 5 edges Refer to Explanation of Answer b) 9 edges Refer to Explanation of Answer c) 12 edges Correct Answer d) 14 edges Refer to Explanation of Answer None Question 145.Logan went to the rugby with \$70.He bought three items and had \$22 in his pocket at the end of the game.Select the three items that Logan bought.Explanation of answer:Step 1: The question says that \$70 was used and there was \$22 left in his pocket, this means that \$48 was spent. You need to find out what three items added together came to \$48.Step 2: To make \$48, we will need to make sure the hat is included as it represents the largest cost within the total of \$48. Notice that adding the cost of items B, C & D together gives \$6 + \$5 + \$8 = \$19 which is far less than the \$48 dollars that was spent. This is why the hat must be one of the three items purchased.Step 3: Add items A, B & C together. \$35 + \$6 + \$5 = \$46. Not the correct answer.Step 4: Add items A, C & D together. \$35 + \$5 + \$8 = \$48. The correct answer.Step 5: Add items A, B & D together. \$35 + \$6 + \$8 = \$49. Not the correct answer.Step 7: As there are multiple combinations of items to get to the correct answer of $48, this question requires a process of elimination to determine the correct answer. This process is shown above.Step 8: The correct answer is – c) A, C & D. a) A, B & C Refer to Explanation of Answer b) B, C & D Refer to Explanation of Answer c) A, C & D Correct Answer d) A, B & D Refer to Explanation of Answer None Question 146. Thomas was looking at Perth City on google maps. He measured the straight-line distance between the WACA ground and Perth Arena to be approximately 3 centimetres. Thomas looked up the real straight line distance between WACA ground and Perth Arena. It is approximately 3 kilometres. What is the scale ratio of the google map that Thomas was looking at? Explanation of answer: Step 1: The first thing we know is that 3 centimetres on the map is equal to 3 kilometres in real life. We need to convert that 3 kilometres into centimetres to find out our scale ratio. Step 2: 3 kilometres is the same as saying 3,000 metres (1,000 metres in 1 kilometre). 3,000 metres is the same as saying 300,000 centimetres (100 centimetres in 1 metre). Step 3: So therefore 1 centimetre on the map is equal to 100,000 centimetres on the ground. We know this because 300,000 cm ÷ 3 cm = 100,000 cm. Step 4: The correct answer is – d) 1 : 100,000 a) 1 : 100 Refer to Explanation of Answer b) 1 : 1,000 Refer to Explanation of Answer c) 1 : 10,000 Refer to Explanation of Answer d) 1 : 100,000 Correct Answer None Question 147. The internal playing surface of a 7 foot English pool table is 180 cm by 90 cm. When adding on the cushion and frame the pool table is larger in size. If the cushion and frame are an extra 13 cm on each side of the table, what is the total length and width of the pool table in metres? Explanation of answer: Step 1: The cushion and frame of the pool table are 13 cm per side. With the table being a rectangle there are two sides in the length direction and two sides in the width direction. We must therefore add 2 x 13 = 26 cm to each internal dimension to work out what the external dimensions are since the question asks for the “total length and width”. Step 2: We need to add 26 cm to the internal length. 180 cm + 26 cm = 206 cm Step 3: We need to add 26 cm to the internal width. 90 cm + 26 cm = 116 cm Step 4: We need to convert 206 cm and 116 cm into metres. As 1 m = 100 cm we can convert these numbers. Step 5: 206 cm = 2.06 m Step 6: 116 cm = 1.16 m. Step 7: This means the pool table dimensions are 2.06 m by 1.16 m. Step 8: The correct answer is – c) 2.06 m by 1.16 m. a) 1.67 m by 0.77 m Refer to Explanation of Answer b) 1.93 m by 1.03 m Refer to Explanation of Answer c) 2.06 m by 1.16 m Correct Answer d) 2.10 m by 1.20 m Refer to Explanation of Answer None Question 148.Ethan went to the local community fair. Whilst he was there he bought a wooden hand-made toy for \$14 and a painting for \$27.How much in total did Ethan spend?Explanation of answer:Step 1: Simply add the two values together. \$27 + \$14 = \$41.Step 2: The correct answer is – c) $41. a) $32 Refer to Explanation of Answer b) $36 Refer to Explanation of Answer c) $41 Correct Answer d) $43 Refer to Explanation of Answer None Question 149.Jack went to the Melbourne Town Hall as part of the Melbourne International Comedy Festival. His ticket was in A reserve, section DD, seat 47. His friend Ben was C reserve, section QQ, seat 34.Which statements are true?Explanation of answer:Step 1: Jack’s seat is number 47, the end of the row is seat 52. Jack’s seat is 4 away from the walkway. So he is near a walkway. Statement a) is correct. Step 2: Jack’s seat is on the balcony so his seat is not on the lower floor. Statement b) is incorrect.Step 3: Ben, is sitting in C reserve, section QQ, seat 34. This seat is further away from the stage than Jack’s. So Jack is sitting closer to the stage than Ben. Statement c) is correct.Step 4: Section CC is adjacent to section DD. Section GG is on the other side of the Hall so statement d) is incorrect.Step 5: The correct answers are – a) Jack is near a walkway and c) Jack is sitting closer to the stage than his friend Ben. a) Jack is near a walkway Correct Answer b) His seat is on the lower floor Refer to Explanation of Answer c) Jack is sitting closer to the stage than his friend Ben Correct Answer d) Section GG is directly adjacent to where Jack is sitting Refer to Explanation of Answer You’ve already answered some of the questions! Would you like to continue with quiz or restart it from beginning? Time's up Submit a CommentYour email address will not be published. Required fields are marked *Comment * Name Email Website Δ
