Step 1: To answer this question we must find out the total mass (in grams) of tuna contained in 4 large tins. Then we need to work out the minimum number of smaller tins required to give at least the same combined mass of tuna.

Step 2: To find out the total mass of tuna Athena usually donates, we need to calculate the combined mass contained in 4 larger tins. 4 x 425 can be broken down to 4 x 400 = 1,600 grams and 4 x 25 = 100 grams. 1,600 + 100= 1,700 grams of tuna.

Step 3: Now we need to find the minimum number of smaller tins required to give at least the same total mass of tuna. To get an estimate of this number, we can round the 95 gram tins to 100 grams.. We divide the 1,700 grams required by 100 grams to give us an estimate of 17 tins. But as we know, the smaller tins contain only 95 grams, which is 5 grams less per tin. If Athena only buys 17 smaller tins, the total mass of tuna will be short by5 x 17 = (10 x 17) ÷ 2 = 170 ÷ 2 = 85 grams of the amount she usually donates. This means she needs to buy one more 95 gram tin, bringing the total purchase to 18 tins.

Step 4: The correct answer is – b) 18 tins

Step 1: When we read the question, we need to look at how many Samsung phones were sold in relation to the total amount of phones sold. We can see that 20 Samsung phones were sold, while there were 60 phones sold in total.

Step 2: This means we can represent this as a fraction: ^20/_60.  We simplify this fraction by dividing both numbers by 10, which gives us: ^2/₆ and we simplify again by dividing both numbers by 2, which gives us: ^1/_3.

Step 3: ^1/₃  is the same as saying 0.33 as a decimal. If we multiply 0.33 by 100, we get 33, which gives us 33% as a percentage. So, 33% of all the phones sold were Samsung phones.

Step 4: The correct answer is – c) 33%

Step 1: The overlaid grid in this image is actually a cartesian plane with a horizontal x axis and a vertical y axis. Normally, location grids would have letters to indicate columns and numbers to indicate rows, so that the area is divided into squares, each square having a unique identifier e.g. B3 or C1 etc. We know this grid is a cartesian plane because the question says we must use a system of x-y coordinates to determine the answer.

Step 2: When working with a cartesian plane, coordinates are always written as (x,y), so we need to work along the horizontal axis then the vertical axis to find our answer.

Step 3: We now have to find which one of the coordinates could mark the location of Helen’s place of residence. The first coordinate we are given is (2,4). If we go to 2 on the horizontal axis (x axis), and then follow the line up to where it crosses line 4 on the vertical axis(y axis), we find this location to be in area 3. Since Helen resides in area 8, coordinate (2,4) cannot be the location of her home.

Step 4: Repeating step 3 for each coordinate provided, we find the following:

Coordinate (4,5) is in area 6 – this is not the location of Helen’s home.

Coordinate (6,3) is in area 11 – this is not the location of Helen’s home

Coordinate (4,3) is in area 8 – this could be where Helen’s home is located.

Step 5: The correct answer is – d) (4,3)

Step 1: As the question states, eggs smaller than jumbo size were sent to packing shed B. This means the medium, large, and extra large eggs were sent to packing shed B. We need to add the number of eggs in each of these size categories to find the total number of eggs that were sent to packing shed B.  

Step 2: The numbers are: 5,900 (Extra Large) + 3,700 (Large) + 2,400 (Medium). First, we can add the thousand columns = 5,000 + 3,000 + 2,000 = 10,000. Now add the hundred columns = 900 + 700 + 400 = 2,000. Now add 10,000 + 2,000 = 12,000 eggs.

Step 3: There were 12,000 eggs smaller than jumbo size that were sent to packing shed B.

Step 4: The correct answer is – d) 12,000

Step 1: To answer this question we must first divide the length of timber into 7 pieces. 2,100 mm divided by 7 = 300 mm (21 ÷ 7 = 3. Then add the two zeros on the end of the 3 to give 300)

Step 2: We now need to convert from mm to cm. As a reminder 10 mm = 1 cm, 100 mm = 10 cm.

Step 3: This means 300 mm = 30 cm

Step 4: The correct answer is b) 30 centimetres

Step 1: In answering this question we are looking for an estimated answer. The distances travelled have to be roughly the same for each day, and they are travelling along the coast from Wollongong to Coffs Harbour. They do this trip in 3 days, so there will be two stay-overs in other towns or cities before they arrive in Coffs harbour after completing the third leg of the journey. We should look through the answers to see which answer is most likely.

Step 2: a) Maitland – Maitland is only about one third of the distance from Wollongong to Coffs Harbour, so it may be a candidate for the first night’s stay, but certainly not for the second. We can discount this answer.

Step 3: b) Tamworth – Tamworth is approximately two thirds of the distance from Wollongong to Coffs Harbour, but is not on the coastal highway, so we can discount Tamworth as an answer.

Step 4: c) Newcastle – Newcastle is very close to Maitland and is most likely to be where they would stay the first night, but not the second. We can discount this answer.

Step 5: d) Port Macquarie – This is the most correct answer. Port Macquarie is on the coastal highway driving to Coffs Harbour and is roughly two thirds of the distance from Wollongong. This matches the conditions stated in the question.  

Step 6: The correct answer is – d) Port Macquarie

Step 1: Answering this question can be a little bit tricky. The information provided, is that the length of the two overlapping circles is 26 mm, and that they overlap each other by 6mm. Also note that both circles are the same size and therefore have the same diameter and radius.

Step 2: We need to mentally separate the two circles to determine their overall side-by-side length, which will be equal to twice the diameter. There are a number of ways we can do this, but one really simple way is to move the right-hand circle 6mm further to the right. If we do this, the circles will be touching each other, but not overlapping. Since we only moved the right-hand circle 6mm, the overall length of the two circles increased by 6 mm. So 26 + 6 = 32mm overall, which is twice the diameter of the circles because we now have two circles side-by-side.

Step 3: If 32 mm is twice the diameter, then 32 ÷ 2 = 16 mm is the diameter of each circle. But the question asks us to determine the radius of the circles. Radius = diameter ÷ 2, so then the radius is 16 ÷ 2 = 8mm.

Step 4: The correct answer is c) 8 millimetres

Step 1: The easiest way to figure out this question would be to multiply the 0.8 by 10 and then double the answer. The reason being that 2 x 10 = 20 (we are doubling by multiplying by 2), which is 20 times the pup’s birth weight.

Step 2: 0.8 kg x 10 = 8 kg. Then 8 kg x 2 = 16 kg

Step 3: When grown up, the dog weighs 16 kilograms.

Step 4: The correct answer is b) 16 kilograms

Step 1: By looking at each of the answers we can determine what the correct answer would be. Let’s look at each option to find the correct answer.

Step 2: 160˚ would have the backrest almost completely lying forward on top of the base making it impossible to sit in the chair. This is not the correct answer. .

Step 3: 125˚ would have the backrest leaning forward further than 90˚ (vertical), which would be extremely uncomfortable, and is clearly not the case when we look at the image. This is not the correct answer.

Step 4: 85˚ is very close to 90˚and would have the backrest of the chair almost upright/vertical. The reclining chair in the image isn’t set upright, so this isn’t the correct answer.

Step 5: 60˚ would have the backrest of the chair in about the position shown in the image. This is the correct answer.

Step 6: The correct answer is d) 60˚

Step 1: To find the answer in this question we need to decipher which information helps us in finding the equation that tells us the total cost of the mobile phone company’s charge rate for picture MMS and video MMS.

Step 2: From the information presented in the question, Lamai sent 60 picture MMS and was charged \$0.50 per picture MMS. The information also tells us that Lamai sent 70 video MMS and was charged \$0.75 per video MMS.

Step 3: What we need to do now is find the expression that contains this information. If there were 60 picture MMS sent at a cost of $0.50 each, then this would be represented by (60 x 0.50).

Step 5: If there were 70 video MMS sent at a cost of $0.75 each, then this would be represented by (70 x 0.75).

Step 6: As these costs need to be added together, the total cost expression would look like this: (60 x 0.50) + (70 x 0.75).

Step 7: The correct answer is – d) (60 x 0.50) + (70 x 0.75)