Answers and Explanations Mock Test
Step 3: Write down the combinations that could occur to satisfy the question.
For them to both choose the same number which ends in zero, they need to have one of the following combinations.
The sum of the probabilities is 10 / 10,000 = 1 / 1,000
Medic Mind Tip: It is not time efficient to draw out this whole table as shown above. We
have only presented it in full for clarity, but in the exam you should look to save time wherever possible by avoiding writing down too much in tables.
Question 18 - B
P (scoring over 100 in total at least once) = 1 - P (scoring over 100 zero times) The probability of Charles scoring below 100 on any given round is 0.6.
Hence the probability of Charles scoring below 100 three times is 0.6 x 0.6 x 0.6 = 0.216 P (scoring over 100 in total at least once) = 1 - 0.216 = 0.784
Question 19 - B
To tackle this question draw a diagram and work through each statement: Bella and Iresh were sitting on the ends of the row…
Bella Iresh
Answers and Explanations
Bella was not being examined for Art. The pupil examined for Art was sitting next to Sheena…
Sheena can only be at B2 if B3 is studying Art (as Bella doesn’t study Art).
The pupil sitting on seat B3 was being examined for Chemistry…
This confirms that Sheena is sitting at B3, studying Chemistry. If she was at B2, she would be next to Bella (not doing Art) and Arthur (studying Chemistry), which cannot work as she sits next to an Art student.
The answer is therefore B.
Question 20 - A
Fill in the Venn Diagram step by step, starting with the information involving the most number of categories.
1 bag has just Brownies and Strawberries.
1 bag has just Marshmallows, Smarties and Brownies.
Bella Sheena / Arthur Sheena / Arthur Iresh
Bella Arthur Sheena (Chemistry) Iresh
1 1
Answers and Explanations
No bags have just Strawberries and Smarties. No bags have just Brownies and Smarties. No bags have just Marshmallows and Brownies. No bags have Strawberries, Brownies and Smarties.
4 bags have just Brownies. 2 bags have just Strawberries. 3 bags have just Smarties.
13 bags have just Marshmallows.
31 bags include Marshmallows. 25 bags include Smarties.
The answer is therefore A.
Medic Mind Tip: This question is quite different to other Venn Diagram questions in the
sense that there is less calculating and more manual input of numbers into the correct places in the Venn. However, it takes time to manoeuvre and input the correct numbers, and the various shapes make it all the more challenging. Remember to start with the information involving the most categories.
1 0 0 1 0 4 2 1 3 13 0 0 1 0 4 2 1 3 17 13 4 0 0 1 0
Answers and Explanations
Medic Mind Tip: This is the type of question which might take 2-3 minutes to do, so if you
are running short of time you might want to Flag it and move on.
Question 21 - D
They have presented us with a great deal of information. The best thing to do here would be to covert the information into a form that is understandable - a Venn diagram.
Let’s fill in the information one by one. It is best to start with information that tells us about more than one category so let’s start from the bottom.
No repeat customers came on both Wednesday and Sunday, and no customers came on all three days…
13 repeat customers on just Friday and Sunday…
Answers and Explanations
12 repeat customers on just Wednesday and Friday…
Now we’re left with the rest of the statements that only tell us about each day individually.
13 customers came on at least Wednesday. 20 customers came on at least Sunday…
We need to put 1 in the ‘Wednesday only’ section because we already have 12 who came on Wednesday and Friday overlap on two days and 13 -12 = 1.
We need to put 7 in the ‘Sunday only’ section as we already have 13 and 20 -13 = 7
If we add up all the numbers that are present in the Venn diagram, we have 33
customers. We know 50 customers came Since we have all the other information in the Venn diagram apart from customers who came ‘Friday only’, we can minus 50 – 33 =
17.
Question 22 - D
As with previous Venn Diagram questions, work through step by step to fill in the Venn. The answer is 9 - D.
Answers and Explanations
Question 23 - A
4 is the correct number where the three shapes of strawberry, chocolate chips, and smarties overlap.
Question 24 - A
Go through each piece of information to knock out answer options.
A group of 20 friends are asking each other what countries they’ve visited in their life…
B does not add up to 20.
11 have visited France, 11 have visited Germany and 14 have visited Spain…
C does not have a circle which adds up to 11.
6 have visited Spain and Germany and of these 3 have visited France as well…
D does not have 3 in the centre.
This leaves us with A, the correct answer.
Question 25 - D
The trapezoid is not allocated to Maths. The Maths classroom is as far way from Biology as possible, because of the lack of timetable clashes…
Answers and Explanations
Maths cannot be the trapezoid. To maximise the distance between Maths abd Biology we need to pick the plus and heart for these two subjects.
Maths is equidistant from Chemistry and Physics…
Maths must be the plus as it has to be equidistant from Chemistry (arc) and Physics (circle or trapezoid).
Physics is closer to Biology than Chemistry… Physics has to be the circle, as the trapezoid is closer to Chemistry than Biology. German by elimination is the trapezoid.
This means that the circle is Physics, D.
Question 26 - D
• A only tells us about the methodology and does not specify where these customers
were from. They could be general Rurre customers, rather than specific to Las Pampas.
• B does not justify the claim, it just shows the mathematical logic for a fraction being
converted to a decimal.
• C does not make sense, as the customers are recommending the Las Pampas tour by
Rurre, not by any other company.
• D is the correct answer, as it spots the flaw in the argument. 8 in 10 customers who did
a review said they would recommend the tour. However, there could have been over 1000 customers with only 10 giving reviews. The 80% statement on the website is a generalisation extending from the small sample to the whole customer base.
Answers and Explanations
Question 27 - A
There are 18 students in Year 12.
Therefore there are 12 students in Year 11. There are 13 boys and 5 girls in Year 12. In total there are 6 more boys than girls.
Number of girls = G Number of boys = B ① B = G + 6
② B + G = 30 G + 6 + G = 30
2G = 24 G = 12 B = 18
There are 13 boys in Year 12, so there must be 5 Boys in Year 11 and 7 Girls. Answer is A.
Question 28 - D
We can use the Fill In Method for this question.
Let’s fill in the information one by one. The information which tells us clearly what a person’s stall or cost is, is best to use.