Haberdasher aske's boys 11plus Sample Maths Questions 2013

[nyr]

Hi Mittleme,

For the hexagon, we worked out earlier that angles a, b (and c) are all 60 degrees. This tells us that the triangle is an equilateral triangle.

nyr

[Mittleme]

nyr

Thanks a million i do understand now from your previous statement



Since each corner of the pentagon (or hexagon) is equidistant to its centre, we know that AB and AC are the same length. So, the angle b and the third angle, say c, are the same - from the properties of an isosceles triangle.

[Mittleme]

Hi All


Please kindly help confirm the following answers to questions

Question 1
If it takes 90 minutes for two identical towels to dry on a washing line, how long would three of these towels have taken to dry?


Answer:90mins

Question 2
In the winter, I try and climb up an icy slope starting at the bottom. Each time I make a move I find that I go up four metres but then slide back down two metres. How many moves do I need to get to the top which is 8 metres up the slope from the bottom?


Answer: 4

Question3:

___________
Question 3
The area of mould growing on my bathroom wall doubles every day. After 13 days the area covered is 2880 cm2 . After how days did the area first exceed 300 cm2?

Answer:

not too sure how to work this out.



Much appreciated

[Guest55]

Question 2
In the winter, I try and climb up an icy slope starting at the bottom. Each time I make a move I find that I go up four metres but then slide back down two metres. How many moves do I need to get to the top which is 8 metres up the slope from the bottom?

Once you are at the top you won't slip back ...

Question 3
The area of mould growing on my bathroom wall doubles every day. After 13 days the area covered is 2880 cm2 . After how days did the area first exceed 300 cm2?

13 days 2880 cm2

12 days 1440cm2 etc

[Mittleme]

thanks Guest 55 for prompt reply

i take it dd got question1

but dont understand ur post for Question2.pls explain


AND

Question 3 answer

i worked out now to be after 10 days

as 10days will be 360cm2

.please confirm

[Guest55]

Question 2
In the winter, I try and climb up an icy slope starting at the bottom. Each time I make a move I find that I go up four metres but then slide back down two metres. How many moves do I need to get to the top which is 8 metres up the slope from the bottom?

First move: up four, slip back 2 - ie now 2 metres up

Second move: up four (to 6m), slip back 2 to 4m up

Third move: up four ... (to ....)

Make sense?


Yes - question three correct. (and question one is a trick so, yes, correct)

[Mittleme]

Thank you Guest55.

Your working


First move: up four, slip back 2 - ie now 2 metres up

Second move: up four (to 6m), slip back 2 to 4m up

Third move: up four ... (to ....)

Make sense?
ok so 3 moves is the answer like you have said when it gets to 8m. doesn't slip anymore

[Guest55]

That's right - it is a classic problem - sometimes a frog in a well or a snail ... but it's the same 'trick'.

[Mittleme]

Yes correct.Thanks so much .

[Mittleme]

Hi All

Could anyone please help confirm answers to the questions in the link. sorry am unable to copy as they are diagrams.




https://fluencycontent-schoolwebsite.ne ... plus14.pdf" onclick="window.open(this.href);return false;




Nos 26 & 30





Question 26

The diagram below (not to scale) shows three squares stuck onto the sides of right angle with sides of lengths 5cm,12cm and 13cm.







Complete the table to show area of each square and hence write down a simple connection between the areas of the squares A, B and C



1)
Answer:
Square Area of square

C 169cm2


ii)
Connection between the areas A,B,C:
Answer : they are all square numbers



iii) Length of square :

Answer: 9cm







Question 30 : The area of a circle with diameter 34cm is 908cm2

Use this fact to work out the area of each of the shaded regions shown in the diagrams(not drawn to scale) below





Answers
a) 2608cm2

b)398cm2

c)248cm2





Thanks for this and really appreciate your help . might be a bit inconvenient as diagrams are in the link .