Showing posts with label algebra. Show all posts
Showing posts with label algebra. Show all posts

Tuesday, 19 March 2013

19/03/2013 - Alphamaths (**)

This puzzle is rated 2 star (medium).

Description

 

Decription
  1. A is one-third of C and one-quarter of G
  2. G is ten lower than H
  3. H is double the value of F, but four lower than B
  4. B is six higher than D
  5. D is double the value of E
  6. the value of E is lower than G
Puzzle
From the following six clues, find the values of the letters A to H. Each letter contains a different whole number in the range 1-30.

Check the solutions page for the correct answer.

Saturday, 16 March 2013

16/03/2013 - Sponsored Walk (**)

This puzzle is rated 2 star (medium).

Description



Harry recently went on a Sponsored Walk to raise funds for new equipment at the local Hospital.  His sponsor form looked like this:
Sponsor's NameAmount
Per km
Total
Fat Freda10p
Dim Jim15p
Tall Tanya£3
Silly Cilla5p
C.U.Jimmy5p
Albert Bodge£2.50
Roland Heap20p
Nice Nigel£4.50
Merlin Shriek20p
Carol Singer25p

Altogether Harry collected £22.00 from his sponsors. 


Puzzle
How far did he walk?

Check the solutions page for the correct answer.

Monday, 4 March 2013

04/03/2013 - How Much? (**)

This puzzle is rated 2 star (medium).

Description


Brian was about to pay £12 for a number of cakes, but then the baker decided two throw two extra ones in for free, because they were so little.

By adding the two extra cakes the cakes now cost one pound a dozen less than when Brian was about to pay.

Puzzle 
Tell now how many eggs she received for her twelve cents?


Check the solutions page for the correct answer.

Sunday, 3 March 2013

03/03/2013 - Weighing the Baby (***)

This puzzle is rated 3 star (hard).

Description


A the mother weighs 100 pounds more than the combined weight of the baby and the dog, and the dog weighs 60 percent less than the baby?

Puzzle
How much does the baby weigh?

Check the solutions page for the correct answer.

Saturday, 2 March 2013

02/03/2013 - Missing Numbers 2 (**)

This puzzle is rated 2 star (medium).

Description



This is just a straight algebra questions, but there is an easier way to work it out.

X72 + 3Y8 = 47Z


Puzzle
Work out X, Y and Z.

Check the solutions page for the correct answer.

Tuesday, 26 February 2013

26/02/2013 - Your ABC (***)

This puzzle is rated 3 star (hard).

Description


A nice bit of algebra this one.

ABCD x E = DCBA

Puzzle
Work out what A, B, C, D and E are for the above equation to work.

Check the Solutions page for the correct answer.

Sunday, 24 February 2013

24/02/2013 - Missing Numbers 1 (**)

This puzzle is rated 2 star (medium).

Description

This is just a straight algebra questions, but there is an easier way to work it out.

835X + XY2 = Y14Y

Puzzle
Work out X and Y.

Check the solutions page for the correct answer.

Thursday, 14 February 2013

14/02/2013 - Valentines (**)

This puzzle is rated 2 star (medium).

Description



A nice little equation for St Valentine's Day.

Puzzle
Solve:
9x + 7i < 4x + 21u +5x

Check out the solutions page for the correct answer.

Wednesday, 13 February 2013

13/02/2013 - Wolves (*)

This puzzle is rated 1 star (easy).

Description



Six wolves kill six lambs in six minutes.

Puzzle
How many wolves does it take to kill sixty lambs in sixty minutes?

Check the solutions page for the correct answer.

Tuesday, 5 February 2013

05/02/2013 - From A to B (***)

This puzzle is rated 3 star (hard).

Description


A bike travels downhill at 20 mph (miles per hour), on the level (flat road) at  15 mph, and uphill at only 12 mph. The bike takes 4 hours to travel from town A to town B. The return trip takes 4 hours and 40 minutes. 

Puzzle
Find the distance between the two towns.

Check the solutions page for the correct answer.

Monday, 4 February 2013

04/02/2013 - Got Any Change? (**)

This puzzle is rated 2 star (medium).

Description

British coin change comes in various amounts.  Less than the pound coin (which is equal to 100 pence) there is the 1 pence piece, the 2 pence piece, the 5 pence piece, the 10 pence piece, the twenty pence piece and the fifty pence piece.

Puzzle

What's the most amount of money you can have, with all of your coins being less than a 1 pound coin, so that you DON’T have change of £1, i.e. you can't have 2 fifty pence pieces because they equal 1 pound.

Check the solutions page for the correct answer.

Monday, 28 January 2013

28/01/2013 - Bridge Walk (**)

This puzzle is rated 2 star (medium).

Description


A group of 4 people are walking through the jungle and come across an old wooden bridge.

It is dark and they only have one torch between them all, and they need to light the path when crossing the bridge.

Unfortunately, as it is an old bridge, no more than 2 people can walk on the bridge at any one time - otherwise it will collapse.

Some walkers are faster than others at crossing the bridge:
  • Amie takes 1 minute to cross
  • Ben takes 2 minutes to cross
  • Clare takes 5 minutes to cross
  • Dean takes 10 minutes to cross

Puzzle
Have all four people cross the bridge in the quickest time possible.

Check the solutions page for the correct solution.

Monday, 21 January 2013

21/01/2013 - 5 Digit Number (***)

This puzzle is rated 3 star (hard).

Description

If we put the digit 1 at the beginning of a 5 digit number we will get a number three times smaller than if we put the digit 1 at the end of the 5 digit number.

Puzzle
What is the 5 digit number?

Check the solutions page for the correct answer.

Friday, 18 January 2013

18/01/2013 - Pencils in Jars (***)

This puzzle is rated 2 star (medium).

Description


I have a set number of pencils and jars.

If I put 9 of the pencils divided equally into each jar, I will have two jars left over.

If I put 6 of the pencils divided equally into each jar, I will have three pencils left over.

Puzzle
How many pencils and how many jars?

Check the solutions page for the correct answer.

Wednesday, 9 January 2013

09/01/2013 - Gardeners (**)

This puzzle is rated 2 star (medium).

Description



It takes two gardeners 8 days to mow all the lawns at a country manor estate.  One gardener is lazy and the other is energetic.
The energetic one would only take 12 days to mow the gardens if he had to do it on his own.

Puzzle
How many days would it take for the lazy gardener to mow all the lawns on his own?

Check the solutions page for the correct answer.

Tuesday, 1 January 2013

01/01/2013 - Tents (*)

Welcome to the first "Daily Maths Puzzle".

This puzzle is rated 1 star (easy)..

Description
If...
TEE = 4
TEN = 6
NEST = 10

When each letter is worth a positive integer* number of points and the points are added up to make the shown total.

Puzzle
Work out... the total value for TENTS.
TENTS = ?

*Integer = whole number

Check the solutions page for the correct answer.