Could you do these 11+ maths questions?

[willow]

I've had a go but would be interested to know what answers you lot come up with (not sure I'm right, tbh!)

1. Three fifths of my cattle are Jerseys; the rest are Herefords. 3/4 of my Jerseys are female, as are 3/8 of my Herefords.

a) What fraction of all my cattle are females.

b) What fraction of my male cows are Hereford?

2. In my flock of sheep, there are three breeds: Costwolds, Swaledales and Leicester Longwools. The ration of Cotswolds to Swaledales is 3:5 and Swaledales to Leicester Longwools is 7:4.

a) What is ratio of Cotswolds to Leicester Longwools?

b) There are more than 100 sheep in my flock. What is the smallest number of sheep there could be?

ALGEBRA

Write algebraic expressions for each of the following questions.

a) Billy had r pound coins and found another. How many pound coins did he then have?

b) Rob had q pound coins and gave h of them away. How many pound coins did he have then?

c) Sam had y pounds and his mother gave him g five-pound notes. How much did he have then, in pounds?

d) Tom had t pound coins and gave k of them away. Will had w pound coins and gave j of them away. How many more pound coins did Tom have than Will?

FINALLY CLOCK FACES

What would you say angle between hour and minute hand is when time is 10:20?

And if it is between 10 and 11 o'clock and hands of clock are 180 degrees apart, what time is it?

It's just like controlfreakyhohoho (etc.) said. The hour hand has moved 10 degrees from the 10 o'clock position. The minute hand is exactly on 20 past. That makes 20+(5x30)degrees = 170 degrees.

I should step away now... can you tell I miss being a tutor?

Ha got it

For the cattle

Assuming 40 cattle
3/5= 24 jersey so 16 hereford
3/4 of jersey = 18 female so 6 male
3/8 of hereford = 6 female so 10 male

So total of 16 male, 10 are herefords = 10/16 = 5/8

sorry slow typing lol

I've just had a real life tutor email me the answers, but I'll keep you working your noggins for a wee while more before I post the double-checked answers!

Why are we waiting
Oh why are we waiting
Tra la la la ...

Not too late I hope

3/5
1/4
21c:20c
152
r + 1
q - h
5y + g
170 degrees
between 10:20 and 10:21

OK can we have the answers now pleeeeeeeaaaaaaaaaaaseeeeeee miss !!!!

HERE YOU GO - ANSWERS ACCORDING TO A TUTOR - SORRY FOR DELAY!

a) Three fifths of my cattle are Jerseys; the rest are Herefords. 3/4 of my Jerseys are female, as are 3/8 of my Herefords.

3/5

b) What fraction of my male cows are Hereford?

5/8

In my flock of sheep, there are three breeds: Costwolds, Swaledales and Leicester Longwools. The ration of Cotswolds to Swaledales is 3:5 and Swaledales to Leicester Longwools is 7:4.

What is ratio of Cotswolds to Leicester Longwools?

21:20

There are more than 100 sheep in my flock. What is the smallest number of sheep there could be?

ALGEBRA

a) Billy had r pound coins and found another. How many pound coins did he then have?

r + 1

b) Rob had q pound coins and gave h of them away. How many pound coins did he have then?

q - h

c) Sam had y pounds and his mother gave him g five-pound notes. How much did he have then, in pounds?

y + g x 5 or y + 5g

d) Tom had t pound coins and gave k of them away. Will had w pound coins and gave j of them away. How many more pound coins did Tom have than Will?

t-k - (w - j) or (t-k) - (w-j)

FINALLY CLOCK FACES

What would you say angle between hour and minute hand is when time is 10:20? If it's 20 past 10, the hour hand has moved a third of the way between the 10 and 11 mark (10 degrees) which makes the hour hand 50 degrees from the 12, plus another 120 down to twenty past. Total number of degrees therefore 170.

And if it is between 10 and 11 o'clock and hands of clock are 180 degrees apart, what time is it?

180 degees is 10 degrees more than 10.20 = 1/3 of the way between 10.20 and 10.25 which is 1 and 2/3 of a minute so it would be 10.21 and 2/3 of a min = 10.21 and 40 secs

Thanks for coming back to us, willow.

Er, I disagree with the tutor on the last question. S/he has looked at the situation at 10:20 and moved it on a bit - but only moved the minute hand, not the hour hand. I calculated it as every five-minutes the minute hand opens up another 30 degrees but the hour hand closes by 2.5 degrees: net effect 27.5 degrees for five minutes or 5.5 for each minute. So to get the extra 10 degrees the answer is 10 divided by 5.5 which works out to 1.81recurring minutes i.e. 1 minute 49 seconds.
I stand by my answer of 10 hours 21 minutes and 49 seconds (rounded to nearest second).

Yes I agree with senua. Tut tut, the tutor should know better.

I wonder how precise an answer the school actually expected for that clock one? DS' rough guess was 10.22 - would he have been expelled for that?

The last question does seem quite complex. I was surprised that it came out to an inexact answer, they are usually more straightforward than that (it tends to be that if you have a fractional/irrational/whatever answer then you know that it is Wrong and needs re-doing)

Our local Grammars work on multiple answers. They wouldn't ask for an answer or give credit for working-out, they merely ask you to tick the correct box for one of five possible answers (one of which would be 10:21:49).

Yes thank you