3 questions need help understanding - for accountancy interview psychometric test

I am working my way through 'How to pass advanced numeracy tests' book, and have some confusion understang the following questions, would be great if someone could briefly explain:
- im sure i will post fdurther question i am finding difficult to work out, but thee 2 for now please.

by the way i have the answers, i just want to understand the working out, its been almost 6 years since i finished high school / studied maths
.

1: How is "work out 3.142 as a fraction?" = 22/7 ?
how would you work this out?

2. Frequency table
Here is the table: ImageShack® - Online Photo and Video Hosting
- this is exactly how it is shown in the book.- there is no further information.

1. Which group has the highest frequency?
2. What is the median result?

Here are the answetrs:
1. The 70-79 Group (group 7)
2. 65 (there are 16 entries so it is between the 8 and 9 results which are both 65)


Now here is my confusion:
1. I created a freq table which showed group 7 had the highest freq, but why does it say the 70-79 group? there was no information saying the list of numbers where in tens, so why are they now 70-79?
2. I understand the median is the middke figure so number 8 & 9 (2 middle numbers) are 4& 5, so the median should be 4.5? even if they use the middle 'group' thats 7 and 8 = 7.5

So how on earth did they get 65, none of the numbers go over 9, so very confused ??



3. Solve the following equation:
(4 to the power of 2 - 3 to thre power of 2) - 2 to the power of 4 =

so i think simple, (16 - 9) - 16 = -9

but no the answer = 23 = 16 + 9 = 23
Why is it now a Plus instead of a Minus?


thank you

Quote:

---

Originally Posted by adamt

3. Solve the following equation:
(4 to the power of 2 - 3 to thre power of 2) - 2 to the power of 4 =

so i think simple, (16 - 9) - 16 = -9

but no the answer = 23 = 16 + 9 = 23
Why is it now a Plus instead of a Minus?


thank you

---

Is



exactly as printed in the question? If it is the conventional interpretation is



CB

Quote:

---

Originally Posted by adamt

1: How is "work out 3.142 as a fraction?" = 22/7 ?
how would you work this out?

---

So to show that



you need to show that

CB

Yes CBit is printed as you put it i just dont know how to type a "to the power of = small higher positioned number)
i got -9 too but th book says the correct answer is 23 and they use a +, not a - , which confuses me?

Quote:

---

Originally Posted by CaptainBlack

[TEX]
you need to show that

CB

---

thats my problem how do you work out that 1000/142 is approximately 7?
likewise for 22?

Quote:

---

Originally Posted by adamt

thats my problem how do you work out that 1000/142 is approximately 7?
likewise for 22?

---

You divide 1000 by 142.

The 22 is irrelevant as it has already been dealt with.

CB

Quote:

---

Originally Posted by adamt

I3. Solve the following equation:
(4 to the power of 2 - 3 to thre power of 2) - 2 to the power of 4 =
so i think simple, (16 - 9) - 16 = -9
but no the answer = 23 = 16 + 9 = 23
Why is it now a Plus instead of a Minus?

---

You're losing your time trying to rationalize a simple typo;
if answer is 23, then it's obvious: 16 - 9 + 16 = 23 (last - sign should be a +)

Quote:

---

Originally Posted by CaptainBlack

You divide 1000 by 142.

The 22 is irrelevant as it has already been dealt with.

CB

---

ok i understand how we get 7, 1000 / 142 = - 7
although it is minus 7

but how do we get 22? i cant see this explanation in replies

thank you

Quote:

---

Originally Posted by Wilmer

You're losing your time trying to rationalize a simple typo;
if answer is 23, then it's obvious: 16 - 9 + 16 = 23 (last - sign should be a +)

---

i see, thanks
i just didnt expect a maths book to have typo's

Quote:

---

Originally Posted by adamt

i just didnt expect a maths book to have typo's

---

Oh no?! Don't worry, there will be more...