Acer Numerical Reasoning Practice Question 28 Review


Victoria Police Applicants Need To Prepare For Numerical Reasoning Questions!

G’day, Russ here from Prime Motion Training. If you’re preparing yourself for the Victoria Police Entrance Exam, I know that you’ll be well aware that one of the components that makes up the exam is the Numerical Reasoning section, probably the least popular section of all of those components that make up the exam. Now, there’s a particular question in one of ACER’s practise booklets that I’d like to take you through in a little example here.

You might be aware that ACER conducts the exams on Victoria Police’s behalf and they’ve got a couple of publications that they’ve put out. One is titled Victoria Police Recruitment: Practise Reasoning Tests. They’ve recently released a new version that’s called Practise Now! which is actually very comprehensive and certainly as a police applicant looking to sit the exam you should familiarise yourself with that document.

Going back to the practise reasoning tests, one of the numerical reasoning practise tests has a question in relation to working out how many scoops of ice cream there might be out of a particular tub of ice cream and it’s actually question number 28 in this practise exam. I want to take you through the workings out for this particular question. It was a request that I had from one of my members, so I thought I would share a video with everyone so we can all benefit from it. Shout out to Sara 🙂

All right. Let’s have a look at the question now. It’s number 28, and it says:

From a five-litre tub of ice cream, a vendor sells 24 individual scoops and eight double scoops of ice cream.” What volume of ice cream, on average, is in one scoop?

Okay. Let’s have a look and then we’ll go through it together. We know that we’ve got five litres of ice cream. We know from the question that there were 24 single scoops that need to come out of that, and there was also eight double scoops. Once we’ve got the total number of individual scoops, we can then divide that back into the larger number. Now, these were singles, but the doubles were only eight. Keep in mind that they’re doubles, so you may miss a little step here and maybe forget that you need to multiply this by two, because of course, there are two scoops in a double cone. I don’t mind ice cream, I’ve got to say.

Now, I know that I’ve got 24 and 16. 24 plus 16 is now going to give me 40. 40 individual scoops of ice cream. Now that I know how many individual scoops, I can divide that into the total. Now, immediately, I can see that I’m not going to be able to divide 40 into five and we’re talking about five litres, but of course we can convert that to millilitres which would give us 5,000 millilitres, okay. It’s just a different unit of measurement, but it doesn’t change the value.

Now I can set up my equation over here, 40 into 5,000, like so. Now, whenever you’ve got a situation like this, there’s no reason why you can’t cross off one zero on this side. As long as you do the same on this side, you haven’t change the value of the equation. Now, my sum can end up a little smaller, and a little bit easier to work with. Now, it could be four into 500, rather than 40 into 5,000, so here’s the equation now that I need to work through, and now it’s simply a matter of going through some long division.

Maybe in a separate video, I’ll do a long division example, but let’s whiz through it now, so you understand the process for this particular question. I’m going to put four into five to begin with, that’ll happen once. One times four is four. When I take the four from the five, I’m left with one, and I bring down the next number. Now, my equation is four into 10. Four, eight, 12. It won’t go three times. Four, eight … It will go twice. Two times four is eight, and when I take the eight from the 10, I’m left with two. Now, I need to ask how many times does four go into two? Well, it’s not going to, so I need to bring down the next number. Now, my question is how many times will four go into 20? Five fours equal 20, so I know that’s going to go in five times. Five times four is 20. When I take 20 from 20, I’m left with zero. There’s nothing else to bring down. Zero.

That’s the end of the road for me now, and I’m left with my answer here of 125. If we go back to the question, I’ll just grab the booklet here. What volume of ice cream on average is in one scoop, or what volume? Well, it would be 125, keep in mind what measurement we’re talking about. 125 millilitres of ice cream.

Well, there you go. That’s question number 28 from the ACER Practise Reasoning Questions in the Numerical Reasoning section.

I hope you found that helpful. If you’re not so sure about the long division here, I’ll put a separate video, I think, up for long division to help you work through that process if it’s something that you’re not sure about.

All right, well I hope you found that helpful. Keep your foot on the gas. Keep working hard for your preparation in terms of your exam. Really important to get off to a good start. If I can help you with it, obviously come and see us over at Prime Motion Training. All right.

Good luck with your entrance exam!


About the Author

Russell Kempster

Russell Kempster

Russ spent 12 years as a police officer with Victoria Police. The last four years of that time was spent at the Victoria Police Academy as an instructor, where he taught everything from fitness to firearms. He has trained police applicants, as well as recruits undergoing their initial training, experienced serving police officers and was even called on by Victoria Police to help train other would-be police academy instructors.

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