Post-Budget Gloombusters Special

[Hardy]

A step up in class this time - some Mensa puzzles.

1. What number should replace the question mark?
   
2. A boy walks south for 3 miles 
Then east for 3 miles
Then north for 2 miles
Then west for 1 mile
Then north for 1 mile 
In which direction and for how far should he walk to return to his starting point? 

3. What letter should appear next in this sequence? 
Z      W      R      K      ? 

4. On each row place a three letter word that can be attached to the end of the word to the left and to the beginning of the word to the right to give a longer word in each case. When completed, the initial letters of the three letter words will give another word reading downwards. What is it? 
HEAT          _ _ _          RING
RUM            _ _ _          SELVES
SET             _ _ _          TOTAL
FOR            _ _ _          MANIA
UNDER      _ _ _           MAN 

5. What number should replace the question mark? 
532 - - - 6
197 - - - 3
945 - - - 8
231- - - 4
768 - - - ?

6. The clock was correct at midnight. From that moment it began to lose four minutes per hour. The clock stopped one and a half hours ago showing the time at 18:40. What is the correct time now?  (The clock runs for less than 24 hours.)

7. Assume you are using a basic calculator and press the numbers in the order shown, replacing each question mark with a mathematical sign. Plus, minus, multiply and divide can each be used once only.  What is the lowest number you can possibly score?
3   ?  5  ?  4  ?  8  ?  9  =

8. Add a different letter to each of the following words (anywhere in the word). The result will be four words that are associated with each other. What are they?
PAR           LIE           ATE           RANGE

9. Car A and car B set off from the same point to travel the same journey. Car A has a start of four minutes before car B sets off. If car A travels at 55kph and car B travels at 60kph, how many kilometres will be travelled when the cars are level?

10. Replace the blanks in the following sentence with two nine letter words. The same nine letters must be used for both words.
The marquee provided the perfect place to  _ _ _ _ _ _ _ _ _  and proved to be easily _ _ _ _ _ _ _ _ _ .

[Olly]

Number 4 is

HER
OUR
TEE
EGO
LAY

HOTEL

[thebigfella]

no. 5 is 5 

[thebigfella]

2. is 2 miles west

[John Martin]

2. 2miles west
3. B
6. 21:30
7. 3+5/4-8*9= -54
9. 44km

Not too sure about 7

[Olly]

NUMBER 5 = 5

[Arthur_Friend]

No. 1 = 14

[Hardy]

Olly - No. 4 correct
Bigfella - No. 5 correct
Bigfella - No. 2 correct
John Martin - No. 3 correct
John Martin - No. 6 correct
John Martin - No. 7 correct
John Martin - No. 9 correct
Arthur Friend - No. 1 correct.

Just two to go - No. 8 and No. 10.

[Arthur_Friend]

No. 8 = PEAR LIME DATE ORANGE

[Hardy]

Correct, Arthur.

One to go.

[Olly]

DRAGONISE AND ORDANISED??

[Hardy]

He shoots, he misses.

[thebigfella]

no 10.

celebrate
and
erectable

[Hardy]

Correct bigfella.

[John Martin]

Can you explain 1 to me please?