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Numeracy (Questions 241 – 250)

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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 241.

A bakery wanted to purchase bulk paper bags for their baked goods.

1 box contains 100 paper bags and costs $4

Omar wants to buy 18 boxes of paper bags.

Which expression states the total cost of purchasing the boxes of paper bags?

The correct expression is:

Explanation of answer:

Step 1: To answer this question it is worth looking at the expressions displayed in the dropdown box. These give us a hint on how to find the answer to the question.

Step 2: The answers show us that the number 18 has been split into two parts: 10 and 8. Both must be multiplied by 4 (dollar value) and then added together to give us our answer. The fact that there are 100 paper bags in a box is not important because we are not being asked to calculate the total number of paper bags.

Step 3: So 4 x 10 and 4 x 8 are the split numbers. We add the + symbol to the middle of the expression to give us the final number.

Step 4: Therefore, the expression is 4 x 10 + 4 x 8

Step 5: The correct answer is – a) 4 x 10 + 4 x 8

Question 242.

The Emu Downs Wind Farm is a 79.2 MW wind farm, approximately 200 kilometres North of Perth, near Cervantes. The wind farm provides electricity to the Kwinana Desalination Plant to produce drinking water for Perth.

If 1 Megawatt (MW) = 1000 kilowatts (kW) and 1 kilowatt (kW) = 1000 watts (W) how many kilowatts are produced by the Emu Downs wind farm?

Explanation of answer:

Step 1: The most important part of this question is found in the last line. We are asked to find out how many kilowatts (kW) are produced at Emu Downs. We need to convert from MW (79.2 MW) into kilowatts.

Step 2: A clue is given in the question, that 1 Megawatt (MW) = 1,000 kilowatts (kW). We can use that information for our equation: 79.2 MW x 1,000 kW/MW = 79,200 kW. Be careful that you do not convert to watts (W) as that will give you the incorrect answer.

Step 3: The Emu Downs wind farm produces 79,200 kW

Step 4: The correct answer is – d) 79,200 kW

a) 79,200,000 kW Refer to Explanation of Answer

b) 7,920,000 kW Refer to Explanation of Answer

c) 792,000 kW Refer to Explanation of Answer

d) 79,200 kW Correct Answer

None

Question 243.

Christine was tiling her living room floor.

She bought several boxes of tiles to cover the area of the floor.

Each box had 6 tiles and covered an area of 4 m². Christine used 72 tiles to cover the area.

What was the total area covered by tiles?

Explanation of answer:

Step 1: In answering this question, we need to find out how many square metres 72 tiles cover. Firstly, we know that 6 tiles cover an area of 4 m², and that she has used 72 tiles to cover the floor

Step 2: We can find out how many tiles we use per square metre. This is done by dividing the 6 tiles by the 4 m² = 1.5 tiles per m². To find out how many square metres were covered by the 72 tiles, we divide the 72 tiles by the 1.5 m² per tile. 72 ÷ 1.5 = 48.

Step 3: This means that 48 m² were covered by the 72 tiles.

Alternative method:

Step 1: We know that Christine used 72 tiles and that there are 6 tiles per box.

Step 2: By dividing the 72 tiles by 6 tiles per box 72 ÷ 6 we know Christine used 12 boxes of tiles.

Step 3: If Christine used 12 boxes of tiles each capable of covering 4 m², then she covered a total area of (12 x 4) or 48 m²

Step 4: The correct answer is – b) 48 m²

a) 64 m² Refer to Explanation of Answer

b) 48 m² Correct Answer

c) 36 m² Refer to Explanation of Answer

d) 28 m² Refer to Explanation of Answer

None

Question 244.

Christian was on holiday and rented a motor home with his family for a week.

The rental was $80 per day and 80 cents per kilometre driven.

After 7 days, Christian returned the motor home having driven a total of 500 kilometres.

What was the total bill for renting the motor home?

Explanation of answer:

Step 1: The first thing to do when answering this question would be figure out how much the rental was for the week. Christian rented the motor home for 7 days at \$80 per day. 7 x \$80 = \$560

Step 2: Next would be to find out how much the cost was for the total kilometres he travelled. This would be 80 cents multiplied by 500 kilometres. The easiest way to work this out is to first convert from cents to dollars: 80c = $0.80. Then, to work out 0.8 x 500 we do the following:

0.8 x 500 = 0.8 x 5 x 10 x 10 = 8 x 5 x 10 = 40 x 10 = $400. Remember, we converted to dollars, so that’s why the answer is in dollars.

Step 3: Now we add the \$560 and \$400 together to get our final cost. \$560 + \$400 = \$960.

Step 4: The correct answer is – c) $960

a) $750 Refer to Explanation of Answer

b) $880 Refer to Explanation of Answer

c) $960 Correct Answer

d) $1,020 Refer to Explanation of Answer

None

Question 245.

Matt and Adam were playing a game of Monopoly. Matt needed to roll 2 sixes (12) to pass all of Adam’s properties and land on GO.

Adam told Matt that the probability of rolling two sixes was very low and that he would be landing on one of his properties.

What is the probability that Matt would roll two sixes and land on GO?

Explanation of answer:

Step 1: First we must find out the probability of all outcomes (rolled numbers) when rolling two dice. Let’s say we have a green die, and a red die, then we can show all the possible outcomes in the following table.

Step 2: The green die’s possible numbers are in the top row (all green) while the red die’s possible numbers are in the first column (all red). The numbers on the yellow background are the total of the numbers on the red and green dice.

Step 3: From the table we can see that we have 36 possible outcomes. Matt is only interested in one outcome, which is a 6 on the red die and a 6 on the green die. This gives a total of 12.

Step 4: There is only one possible outcome from a total of 36 possible outcomes. There has to be a 6 on both dice to give a total of 12. Hence the probability of rolling two sixes will be 1 over 36, or ¹⁄₃₆.

Step 5: The correct answer is – a) ¹⁄₃₆

a) 1⁄36 Correct Answer

b) 2⁄36 Refer to Explanation of Answer

c) 12⁄36 Refer to Explanation of Answer

d) 18⁄36 Refer to Explanation of Answer

None

Question 246.

Carrie was buying food for her daughter’s birthday party. She noticed that chocolate bars and boxes were on sale.

A bar of chocolate was \$3 and a box of chocolates was \$5. She bought the same number of bars as boxes.

If she paid with a \$50 note and got \$2 in change, how many bars and boxes did she buy altogether?

Explanation of answer:

Step 1: There are multiple steps to finding this answer. The first is to find out how much money Carrie spent on chocolate. In the last sentence of the question, she paid with a \$50 note and received \$2 change. This means she paid \$48 for the chocolate.

Step 2: The next step requires us to find out how many bars and boxes she bought. A reminder that she bought the same amount of each and the total cost has to equal $48.

Step 3: To find this number we should work in multiples of \$3 and \$5. For instance, if we multiply 3 x \$3 (\$9) + 3 x \$5 (\$15) we get a total of \$24 – not the correct answer.

Step 4: We can try 4 x \$3 (\$12) + 4 x \$5 (\$20) = \$32 – again not the correct answer.

Step 5: From the multiple choice answers we can see the next number is 6. 6 x \$3 (\$18) + 6 x \$5 (\$30) = \$48 which is the correct answer. We know Carrie bought 6 bars and 6 boxes of chocolates

Step 6: The correct answer is – a) 6

Alternative explanation of answer:

Step 1: As per step 1 in the previous method, Carrie paid $48 for the chocolate.

Step 2: The question tells us that she bought the same number of bars as boxes, and that a bar costs \$3 and a box costs \$5. So, in other words, for every \$5 dollars spent, an additional \$3 was also spent, so we are working with multiples of 5 + 3 = \$8. Each \$8 spent represents one bar and one box.

Step 3: If we divide Carrie’s total spend of \$48 by \$8, we will find the correct answer. \$48 ÷ 8 = 6, so Carrie bought 6 bars and 6 boxes of chocolate.

Step 4: The correct answer is – a) 6

a) 6 Correct Answer

b) 8 Refer to Explanation of Answer

c) 9 Refer to Explanation of Answer

d) 4 Refer to Explanation of Answer

None

Question 247.

Stephen plays for a professional sporting club.

He can be remunerated (paid) in several different ways:

- A weekly wage of $2,000

- A game payment of $1,000

- A bonus payment of $20,000 if he is the highest scoring player in his team at the end of the year.

If Stephen worked for 52 weeks of the year, played 14 games and was also the highest scoring player at the end of the season, how much did he earn?

Explanation of answer:

Step 1: To answer this question we must figure out the totals for each section of the question and then add them all together to get our answer.

Step 2: If Stephen works 52 weeks and is paid \$2,000 per week, then we must multiply those values together to get our first answer: 52 x \$2,000 = \$104,000 (52 x 2,000 = 52 x 1,000 x 2 = 104 x 1,000 = 104,000).

Step 3: He plays 14 games and gets \$1,000 per game played. This is: 14 x 1,000 = \$14,000

Step 4: He is the highest scoring player and gets a \$20,000 bonus payment.

Step 5: We need to add all those values together to get our final answer. \$104,000 + \$14,000 + \$20,000 = \$138,000 (\$104,000 + \$14,000 = \$118,000 and \$118,000 + \$20,000 = \$138,000).

Step 6: The correct answer is – d) $138,000

a) $112,000 Refer to Explanation of Answer

b) $118,000 Refer to Explanation of Answer

c) $127,000 Refer to Explanation of Answer

d) $138,000 Correct Answer

None

Question 248.

Nathan owns a petrol station which sells snacks & confectionery at the front desk.

Each week he orders 6 multipack boxes (20 packets per box) of Smiths chips to sell.

Unfortunately, he was unable to make his order and must purchase the smaller multipack (6 packets per bag) from the shops.

How many smaller multipacks does he need to buy to get the same number of chip packets as the larger multipack boxes?

Explanation of answer:

Step 1: The first step in this process is to find out how many chip packets there are in 6 multipack boxes each containing 20 packets. 6 boxes x 20 chip packets = 120 chip packets (6 x 20 = 6 x 2 x 10 = 12 x 10 = 120).

Step 2: We know Nathan had to purchase the small packs which had 6 chip packets in them. As there are 6 packets per bag, we will be working with multiples of 6.

Step 3: Our aim is to find out the multiple (or factor) that goes into 120. As we are working with multiples of 6, we know that 10 x 6 = 60. If we doubled that number, we would get 120. So, 10 x 2 = 20.

Alternative step 3: We need to work out 120 ÷ 6. If we have 120 chip packets, how many groups of 6 chip packets can we make? To work this out easily we can break up the problem as follows:

¹²⁰⁄₆ = ^{12 x 10}⁄₆ = 2 x 10 = 20

Step 4: It would take 20 packets of the smaller multipacks to get the same number of chip packets as the larger multipack.

Step 5: The correct answer is – c) 20

a) 11 Refer to Explanation of Answer

b) 16 Refer to Explanation of Answer

c) 20 Correct Answer

d) 24 Refer to Explanation of Answer

None

Question 249.

A dance company in Perth produced an end of year concert and were selling tickets for audience members.

Tickets were sold at \$10, \$20 and \$25 per ticket.

The graph below shows the prices and number of tickets sold.

What percentage of tickets sold were $20 tickets?

Explanation of answer:

Step 1: To find a percentage of ticket sales we need to find out how many tickets were sold overall. We need to add the totals of all 3 columns on the graph.

Step 2: We can see the number on the left-hand side of the graph. The first column is 90, the second column is 60 and the last column is 50. Add these to get the total: 90 + 60 + 50 = 200. There were 200 tickets sold.

Step 3: We must then try and figure out how to get a percentage from the total number of $20 tickets sold. As we have 200 tickets, we can divide that number by 2 to get 100, which is easier to find a percentage (as it is the same figure as 100%) for the tickets sold.

Step 4: As we have divided the total tickets sold by 2, we should also divide the total number of $20 tickets sold to get our percentage. 60 ÷ 2 = 30. This now represents tickets sold as a percentage = 30%

Step 5: The correct answer is – d) 30%

a) 60% Refer to Explanation of Answer

b) 45% Refer to Explanation of Answer

c) 35% Refer to Explanation of Answer

d) 30% Correct Answer

None

Question 250.

Emma has a job working as a receptionist. Her wage is $1,200 after-tax.

If she pays 20% of her weekly wage in tax, how much does she earn before tax?

Explanation of answer:

Step 1: To find out how much Emma earns before tax, we must understand that we need to find a value above her after-tax wage of $1,200.

Step 2: If Emma pays 20% of her wage in tax, that means that $1,200 represents 80% of her before-tax wage. We just don’t know what that 20% represents as a value.

Step 3: To find that value, we can try and spilt the $1,200 into 20% parts. The reason for doing this, is that 20% is the same as saying ¹/₅ and 80% is ⁴/₅. If we can break 80% down to 20% parts, we can find out the value of 20%.

Step 4: By dividing 80% by 4 we get 4 parts, each being 20%. We can use this same idea for the \$1,200. \$1,200 ÷ 4 = \$300. This means that \$300 is 20% of \$1,200. We can now use this value (\$300) to add to Emma’s after-tax wage of \$1,200 to get her before tax wage.

Step 5: \$1,200 (80%) + \$300 (20%) = \$1,500. We can now see that Emma earns \$1,500 before tax.

Step 6: The correct answer is – b) $1,500

Alternative explanation of answer:

Step 1: To find out how much Emma earns before tax; we must understand that we need to find a value above her after-tax wage of $1,200.

Step 2: If Emma pays 20% of her wage in tax, that means that $1,200 represents 80% of her before-tax wage. We can write this as the equation ⁸⁰⁄₁₀₀ x y = 1,200, which is the same as saying 80% of y equals 1,200, where y is what Emma earns before tax.

Step 3: All we have to do now is solve for y. So, we simplify the equation as follows:

⁸⁄₁₀ x y = 1,200

And then 8 x y = 1,200 x 10

So: y = ^{1,200 x 10}⁄₈ = ^{12 x 100 x 10}⁄₈ = ^{3 x 1,000}⁄₂ = 3 x 500 = $1,500

Emma earns $1,500 before tax.

Step 4: The correct answer is – b) $1,500

a) $1,650 Refer to Explanation of Answer

b) $1,500 Correct Answer

c) $1,440 Refer to Explanation of Answer

d) $1,300 Refer to Explanation of Answer

None

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Numeracy (Questions 231 – 240)

Show session ID

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 231.

Last cricket season Brendan had a batting average of 40.

This season he has increased his average by 15%

What is his batting average for this season?

Explanation of answer:

Step 1: To find out Brendan’s batting average for this season, we need to find out what 15% of 40 is and add that value to last season’s batting average of 40 to get the answer.

Step 2: First we should split 15% into 10% and 5% to make it easier to calculate. To find 10% of 40, simply drop off the 0 from 40. Essentially, we move the decimal point one place value to the left when we want to find out 10% of a value. 10% of 40 = 4

Step 3: To find the 5% all we have to do is find half of 10%, so 5% is 4 divided by 2 which equals 2. 5% of 40 = 2

Step 4: Add the 4 (10%) and 2 (5%) together to get 15% = 6

Step 5: We then add 6 to 40 to find out Brendan’s new average. 40 + 6 = 46

Step 6: The correct answer is – c) 46

a) 42 Refer to Explanation of Answer

b) 44 Refer to Explanation of Answer

c) 46 Correct Answer

d) 50 Refer to Explanation of Answer

None

Question 232.

At a children’s party, a game of "pass the parcel" was played with a toy as the final prize.

12 children played the game and all 12 children could be picked multiple times.

8 rounds were played and 8 children got minor prizes. 4 children hadn’t won a prize yet.

What chance do each of the four children have of winning the final prize?

Explanation of answer:

Step 1: This question looks like it would be simple to answer, however, there is a key statement that gives a clue on how to answer the question.

Step 2: It is easy to assume that with only 4 children left to win a prize, that they would have a 1 in 4 chance of winning the final prize. That assumption would be incorrect.

Step 3: The statement “all 12 children could be picked multiple times” means that any child can be picked twice or more times to win a prize. One of the 4 children might win the final prize, but also one of the 8 children might win the final prize.

Step 4: This also means that any of the 12 children could potentially win that final prize. This is represented as a 1 in 12 chance.

Step 5: The correct answer is – d) 1 in 12

a) 1 in 2 Refer to Explanation of Answer

b) 1 in 4 Refer to Explanation of Answer

c) 1 in 6 Refer to Explanation of Answer

d) 1 in 12 Correct Answer

None

Question 233.

Once every 6 months Bruce donates plasma to the Australian Red Cross

In the last 4 years he has donated 300 millilitres of plasma per visit.

How many litres has Bruce donated over those 4 years?

Explanation of answer:

Step 1: First we must find out how many visits Bruce has made in 4 years. He gives blood every 6 months so he would donate 2 times a year. Multiply those 2 visits (per year) by 4 years and he has donated 8 times over 4 years.

Step 2: We then need to multiply that 8 times by 300 millilitres. We can multiply 8 by 3 = 24 and add the two zeros (00) after the 4 to give us = 2,400 millilitres.

Step 3: The answers are in litres, so we have to convert 2,400 millilitres into litres. There are 1,000 millilitres to 1 litre. 2,400 ÷ 1000 = 2.4 L

Step 4: Bruce has donated 2.4 L of plasma over 4 years

Step 5: The correct answer is – c) 2.4 L

Alternative Explanation of answer:

Step 1: If Bruce donates 300 millilitres of plasma per visit, and he visits twice a year (every 6 months), then this means that he donates 2 x 300 = 600 millilitres each year.

Step 2: So, if Bruce has been donating for 4 years, then we need to multiply 600 millilitres by 4 years: 600 x 4 = 1200 x 2 = 2,400 millilitres.

Step 3: The answers are in litres, so we have to convert 2,400 millilitres into litres. There are 1,000 millilitres to 1 litre. 2,400 ÷ 1,000 = 2.4 L

Step 4: Bruce has donated 2.4 L of plasma over 4 years

Step 5: The correct answer is – c) 2.4 L

a) 1.2 L Refer to Explanation of Answer

b) 1.8 L Refer to Explanation of Answer

c) 2.4 L Correct Answer

d) 3.2 L Refer to Explanation of Answer

None

Question 234.

Ed drives a special delivery service from Perth to Bunbury once a week. The average time for his one-way drive from Perth to Bunbury is 1 hour and 50 minutes.

His average speed is 90 km per hour.

Which expression gives the distance, in kilometres, of Ed’s delivery run?

Explanation of answer:

Step 1: We are looking for a total distance but using speed and time to find our answer as an expression.

Step 2: The question states that Ed drives for 1 hour and 50 minutes at an average speed of 90 kilometres per hour. In the expressions shown, the 90 on the left-hand side represents the distance covered in his first hour of driving (90 km). The extra 50 minutes he drove must be represented as a decimal. As 50 minutes is ⁵⁰⁄₆₀ = ⁵⁄₆ of an hour, this is represented as a decimal as 0.83.

Step 3: If we multiply 0.83 hours by 90 km per hour, we will find the distance Ed drives in 50 minutes. The final expression should be written as: 90 + (0.83 x 90)

Step 4: The correct answer is – b) 90 + (0.83 x 90)

a) 90 + (0.50 x 90) Refer to Explanation of Answer

b) 90 + (0.83 x 90) Correct Answer

c) 90 + 0.50 Refer to Explanation of Answer

d) 90 + 0.83 Refer to Explanation of Answer

None

Question 235.

A company listed on the Australian Stock Exchange (ASX) uses Australia Post to send documents about their Annual General Meetings or share purchase plans to their investors.

The cost of sending these documents will depend on their size and weight. Larger, heavier documents will cost more than smaller, lighter documents as seen in the table below.

This year the company posted 120 Share Purchase Plan documents and 150 Annual General Meeting documents.

Which expression shows the company’s total postage cost?

Explanation of answer:

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 company’s postage cost. In this instance it will be the type of document, how many of them and the individual cost per document.

Step 2: We can see from the table that a Share Purchase Plan (SPP) document costs \$2.20 to post, and from the information below the table, that there were 120 SPP’s posted out. We can also see from the table that an Annual General Meeting (AGM) document costs \$3.30 to post, and there were 150 AGM’s posted out.

Step 3: What we need to do now is find the expression that contains this data. If there were 120 SPP’s sent out at a cost of $2.20 each, then this would be represented by (120 x 2.20).

Step 4: If there were 150 AGM’s sent out at a cost of $3.30 each, then this would be represented by (150 x 3.30).

Step 5: As these costs need to be added together, the total cost expression would look like this: (120 x 2.20) + (150 x 3.30).

Step 6: The correct answer is – d) (120 x 2.20) + (150 x 3.30)

a) (125 x 2.20) + (250 x 3.30) Refer to Explanation of Answer

b) (120 + 150) x (2.20 + 3.30) Refer to Explanation of Answer

c) (120 x 3.30) + (150 x 2.20) Refer to Explanation of Answer

d) (120 x 2.20) + (150 x 3.30) Correct Answer

None

Question 236.

A Physical Education class consisting of 32 students, were organising a soccer competition.

Eighteen of the students are girls, the remainder are boys.

One student is responsible for creating fixtures for the competition.

Which of the answers below represent the probability that a boy will be allocated to create the fixtures?

Explanation of answer:

Step 1: To answer this question we must first figure out how many boys are in the class. 32 students subtract 18 (girls) = 14 boys. There are 14 boys out of the 32 students, meaning ¹⁴/₃₂ of the students are boys.

Step 2: The next part of the question asks us what is the probability that a boy will be picked from the group. As we know there are ¹⁴/₃₂ boys in the class. The probability would be ¹⁴/₃₂.

Step 3: Be careful when picking the answer, as there is another correct answer in the multiple-choice answers. ⁷⁄₁₆ is also correct because it is exactly the same as ¹⁴⁄₃₂ – it’s just the simplified version of the fraction. If you divide both the numerator and denominator of ¹⁴/₃₂ by 2, you get ⁷⁄₁₆.

Step 4: The correct answers are – b) ⁷/₁₆ AND d) ¹⁴/₃₂

a) ¹/₃₂ Refer to Explanation of Answer

b) ⁷/₁₆ Correct Answer

c) ¹⁸/₃₂ Refer to Explanation of Answer

d) ¹⁴/₃₂ Correct Answer

Question 237.

Charlotte was listening to the Queen Greatest Hits Disc One whilst on the train.

She was approximately 20 minutes away from her destination and she was wondering if she could get through the first 5 songs on disc one.

What is the total playing time for the first 5 songs?

Explanation of answer:

Step 1: This can be a tricky question to answer as we are working with time and we must remember there are 60 seconds to each minute when adding totals.

Step 2: One method is to simply add the time of one song after another to get the final answer. This is shown in the table below:

The total is 18 minutes and 51 seconds.

Step 3: An alternative method is to place them into a table and add each time up in their respective columns. The table below shows this:

Step 4: There is a very important point to remember in adding time using this method. When it comes to the Tens of Seconds column, we must remember that every 6 tens of seconds equals 1 minute (60 seconds). If we add those numbers in that column, we actually get 17 lots of Tens of Seconds. This means there are 2 minutes and 50 seconds (2 x 60 secs + 50 seconds) of time in that column. The 5 is placed in the total row and the 2 (mins) are placed in the carry over column to add 2 mins to the final total. This method still gives us a total of 18 mins and 51 seconds.

Step 5: Both methods give us an answer of 18 minutes and 51 seconds.

Step 6: The correct answer is – c) 18 minutes and 51 seconds.

a) 19 minutes and 33 seconds Refer to Explanation of Answer

b) 18 minutes and 17 seconds Refer to Explanation of Answer

c) 18 minutes and 51 seconds Correct Answer

d) 17 minutes and 48 seconds Refer to Explanation of Answer

None

Question 238.

Western Australia is the largest iron ore supplier in the world, producing 39% of the global iron ore supply in 2018.

An increased demand for iron ore across the world is projected to continue throughout this century.

Table sourced from the WA government department of Jobs, Tourism, Science and Innovation.

In the above table we can see iron ore demand from Asian countries. Approximately how many Megatonnes did China demand in 2011?

Explanation of answer:

Step 1: Firstly, we are asked to find data on China’s iron ore demands, we need to find the colour that represents China, which is red on the bar graph.

Step 2: Secondly, we need to find 2011 in the chart. We can see the years are displayed in intervals of 3. Start at 2009 and count up to 2011 (two bars to the right of 2009).

Step 3: Looking at the red bar in 2011, we can see it reaches the 1,000 Mt line. This gives us our answer for iron ore demand in China in 2011.

Step 4: The correct answer is – c) 1,000 Mt

a) 1,200 Mt Refer to Explanation of Answer

b) 1,050 Mt Refer to Explanation of Answer

c) 1,000 Mt Correct Answer

d) 900 Mt Refer to Explanation of Answer

None

Question 239.

At a large supermarket distribution centre Marie had to pack eggs into bulk packaging.

There were 60 eggs in each bulk container.

After she had packed the eggs in containers, she had to place them on the shelves for customers to buy.

She had 2 shelves to place the containers on. The top shelf had room for 6 containers, while the bottom shelf had room for 12 containers.

In total, how many eggs were there in all the containers on both shelves?

Explanation of answer:

Step 1: There are multiple steps to answer this question. We are looking for the total amount of eggs in the containers on the 2 fully stacked shelves.

Step 2: We are told that there are 60 eggs per bulk container. This means we will be working in multiples of 60.

Step 3: The next piece of information tells us that on the top shelf, there was room for 6 containers. We need to multiply the 6 containers by 60 eggs. 60 x 6 = 360 (OR 6 x 6 x 10 = 36 x 10 = 360).

Step 4: We are also told the bottom shelf has room for 12 containers. We can find the answer in one of two ways. 1) 12 is double the amount of 6 (containers), so we can double 360 to find our answer, OR 2) multiply 12 by 60 to find our answer. Both pathways will give us an answer of 720.

Alternative step: We can add 6 and 12 containers together to get 18 containers, then multiply 18 by 60 to get our answer. We could split the 10 and 8 and find the answer that way as well. (10 x 60 = 600) + (8 x 60 = 480) = 1,080.

Step 5: The next step is to add the 2 numbers together to get the combined amount of eggs in all containers on both shelves. 360 + 720 = 1080. There is a total of 1,080 eggs in all the containers on both shelves.

Step 6: The correct answer is – b) 1,080

a) 1,240 Refer to Explanation of Answer

b) 1,080 Correct Answer

c) 980 Refer to Explanation of Answer

d) 720 Refer to Explanation of Answer

None

Question 240.

Chiara is a local artist who was asked to paint a dog on a wall in a public space.

Before she starts painting, she needs to figure out the size of the wall so she can get the proportions of her painting correct.

The brick wall is 18 bricks high and 24 bricks long. Each brick is 20 centimetres high and 30 centimetres long.

What is the height of the wall that Chiara is going to paint on?

Explanation of answer:

Step 1: From the last line in the question, all we are trying to do is find the height of the wall that Chiara is going to paint on. To do this, we need to find the height of a brick, and then multiply it by the number of bricks in the height direction of the wall.

Step 2: The question gives us this information. The height of a brick is 20 cm. The question also tells us the wall is 18 bricks high. This means we multiply 20 cm x 18 bricks.

Step 3: The easiest way to do this is to split the 20 into 2 lots of 10: 10 x 18 = 180. As we have 2 lots of 180, we add them together to get our answer. 180 + 180 = 360 (or 20 x 18 = 2 x 10 x 18 = 2 x 180 = 360).

Step 4: The height of the wall is 360 cm.

Step 5: The correct answer is – c) 360 cm

a) 260 cm Refer to Explanation of Answer

b) 320 cm Refer to Explanation of Answer

c) 360 cm Correct Answer

d) 400 cm Refer to Explanation of Answer

None

Time's up

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