Brain Busters IV Quiz

Get those pencils put, here we go again... ;)

1 If the perimiter of a square is one yard, what is its area ?

2 Which is the greater, 6% of 9 - or 7% of 8 ?

3 If a right-angled triangle has one side 6 inches long, and another side 10 inches long, what is the length of the third side ?

4 How many girls would stretch from London to Brighton ? (4pts for correct answer)

5 What is the lowest number into which all the numbers from 1 to 10 can be divided ?

6 When two boys, John and Peter, stand on a scale together it shows 14 stone 4 lbs. Peter who weighs 7 stone 8 lbs gets off and Jim gets on. Jim and John together weigh 15 stone 10 lbs . How heavy is Jim ?

7 At a conference the delegates passed a motion by a majority of 320 votes. If 2% of the delegates had changed sides the result would have been a tie. How many delegates were present ?

8 What is half of two-thirds of three-quarters of four ?

9 A man is offered a job at £10k pa to be paid each half-year. He can have a rise of £300 p.a. or a £100 rise every half-year. Which should he choose ?

10 A square has an area of 16 square inches. What is the radius of the biggest circle that will fit inside it ?

11 Which two numbers have a product of 48 and a sum of 19 ?

12 What, in present money, is the difference between 30 old pence and 30 new pence ?

13 Take the sum of all the whole numbers up to 5 from the sum of all the numbers up to 10. What is the answer ?

14 What is 101 squared minus 99 squared ?

2pts per answer except where indicated otherwise. Good luck !

[NigelS]

3) Using a 3,4,5 triangle the remaining side must 8 inches long

5) I will take a punt at 362880 which is 1x2x3....x10

8) 1

10) 2 inches

11) 16 and 3

Thought I'd get a tickle from Nigel. ;)

3) 8) 10) and 11) are all perfectly correct, 2pts for each makes 8pts.
And a bonus point for 3) which required knowledge of Pythagoras' theorum (square on the hypoteneuse, etc).

For number 5) the answer is a lot less, only a four-figure number.
(If you think about it, both 2 and 4 can divide into the number you have given).

Leader:
[glow=red,2,300]NigelS 9pts [/glow]

[H&J]

6. Jim weighs 9 stone

bean said:

6. Jim weighs 9 stone

Correct, 2pts to H&J.

Leaderboard:
1 NigelS 9pts
2 H&J 2pts

[H&J]

12. 17.5 p (30d = 2s and sixpence = 12.5 p, therfore = 30p - 12.5p = 17.5p)

Spot on ! 2pts plus bonus point for showing the working-out.

Leaderboard:
1 NigelS 9pts
2 H&J 5pts

[Hem Cleveland]

1
¼ yrd squared (I don’t really know ye olde measurements)

2
1% of 9 is 0.9 so times by 6 is 5.4
1% 0f 8 is 0.8 so times by 7 is 5.6
so it’s 7%

7
320 votes is 52%
trial and error.
1% = 6 52 x 6 = 312
1% = 7 52 x 7 = 364
1% = 6.2 52 x 6.2 = 322.4
1% = 6.1 52 x 6.1 = 317.2
6.2 x 100 = 620 people.

I think I’m missing something here.

9
A half year is twice in a year, which is a £200 increase p.a.
So £300 p.a. is the better choice.

13
1+2+3+4+5=15 and since you would only have to take 15 away from the sum of 1 – 10 you’d only have to do the following addition.
6+7+8+9+10= 40
Answer 40.

14 What is 101 squared minus 99 squared ?
101
101 x
101
0000
10100
10201

99
99 x
891
8910
9801

10201 –
9801
400

Gods I feel like I’m taking Math GCSE all over again!

[barbelman]

Hi Tommo

Q2 6% of 9 is 0.54 and 7% of 8 is 0.56 so 7% of 8 is the greater

Q5 2520??

Q13 70

Q14 400

thanks
Tony
(still thinking about Q4!)

Hem Brewster -

SEE ME AFTERWARDS ! ;D

Well now,
1
¼ yrd squared (I don’t really know ye olde measurements)
You're not wrong, but you didn't go on to give the correct answer which is 81 square inches. 1yd =36 inches, so 36/4 = 9, and 9x9=81. Good enough for 1pt only.

2
1% of 9 is 0.9 so times by 6 is 5.4
1% 0f 8 is 0.8 so times by 7 is 5.6
so it’s 7%
I know there's such a thing as inflation, but when I was at school 1% of 9 was 0.09 and 1% of 8 was 0.08 so the answers to compare come out at 0.54 and 0.56. ;D Never mind, you found the correct answer, so 2pts.

7
320 votes is 52%
trial and error.
1% = 6 52 x 6 = 312
1% = 7 52 x 7 = 364
1% = 6.2 52 x 6.2 = 322.4
1% = 6.1 52 x 6.1 = 317.2
6.2 x 100 = 620 people.
I think I’m missing something here.
No, it doesn't add up, does it as 2% of 620 delegates would be 12.4 ? 0.5pt bonus only for a brave effort.

9
A half year is twice in a year, which is a £200 increase p.a.
So £300 p.a. is the better choice.
Remind me if I ever get a pub to employ barmaids like you ! ;D
Let's compare the salaries in six-monthly increments, and see what we finish up with after 3 years:
a) £300pa rise.
5000+5000=10000;5150+5150=10300;5300+5300=10600.
b) £100 half-yearly rise.
5000+5100=10100;5200+5300=10500;5400+5500=10900.
So £100 half-yearly is the most advantageous choice !

13
1+2+3+4+5=15 and since you would only have to take 15 away from the sum of 1 – 10 you’d only have to do the following addition.
6+7+8+9+10= 40
Answer 40.
Correct, well done, 2pts + 1pt bonus for showing working-out.

14 What is 101 squared minus 99 squared ?
101
101 x
101
0000
10100
10201
99
99 x
891
8910
9801
10201 –
9801
400
Correct, but there is an easier way to work it out which I'll show when answering Tony. But you get 2pts + 1pt for long-hand workings.
9.5pts to the Hem Brewster !

Leaderboard:
1 Hem Brewster 9.5pts
2 NigelS 9pts
3 H&J 5pts

Now for Tony, whose answer was lodged 16 mins after Hem's, but knowing how these things work, he wouldn't have had the benefit of seeing Hem's answer while working out a long one of his own. So it's accepted in good faith.

Q2 6% of 9 is 0.54 and 7% of 8 is 0.56 so 7% of 8 is the greater Correct, 2.5pts as it's slightly more precise than Hem's.

Q5 2520?? Correct, 2pts.

Q13 70. You've added them together Tony ! 55-15 = 40.

Q14 400 Correct, 2pts. Quick way of doing it: "The difference between the squares of two numbers is equal to the product of their sum and their difference". (Tommo's law ! ;D )
So, (101+99) x (101-99); 200 x 2 = 400.

Clue for Q4) - Idiomatically.
6.5pts for Tony's effort.

Leaderboard:
1 Hem Brewster 9.5pts
2 NigelS 9pts
3 Barbelman 6.5pts
4 H&J 5pts

[barbelman]

tommo said:

Clue for Q4) - Idiomatically.

Well - 531 'old girls' entered the London to Brighton veteran car rally this year...... ::)

Tony

barbelman said:

Well - 531 'old girls' entered the London to Brighton veteran car rally this year...... ::)
Tony

That would be Euphemistically rather than idiomatically, Tony.
These are more likely to be young girls. ;)

[H&J]

4. 2

Okay, number 4) was a bit of a tease.
The answer is 53 miles stretch from London to Brighton.
Or 53 'misses'.
As we all know, "a miss is as good as a mile". ;D

2pts are awarded to Barbelman for a good shot at the answer.
H&J only gain a bonus if they can demonstrate a way in which the answer "2" can fit the question...............

Only the 'delegates' question is left.

Leaderboard:
1 Hem Brewster 9.5pts
2 NigelS 9pts
3 Barbelman 8.5pts
4 H&J 5pts

[barbelman]

I'll have a stab at 16000 for Q4 please (which is 320 x 100/2)

cheers
Tony

[H&J]

H&J only gain a bonus if they can demonstrate a way in which the answer "2" can fit the question...............there was a thriller called London to Brighton that came out 2006 i think that starred 2 girls in the lead roles..........

First of all, H&J have come up with a convincing argument for having earned the other 2pts from question 4) so so be it.

Which leaves Barbelman's stab at Q7), thus :
16000 (which is 320 x 100/2) You are so close ! But have over-estimated by double, the answer is 8,000. (Fits the question thus - 2% of 8000 = 160, so 4160 yays, 3840 nays and a majority of 320).
1.5pts as you scored an 'inner' rather than the bullseye.

Quiz ended thus:
1 Barbelman 10pts
2 Hem Brewster 9.5pts
3 NigelS 9pts
4 H&J 7pts