**The Magician really didn’t know what to do …
He’d magicked a million maths spells …
Which added upto two million and two …
His multiplication left him perplexed …
His rotated angles were somewhat flexed …
Although he had divided before … he really still didn’t now the score
There used to be six but now there were four …
Which made him wonder what he was subtracting for …
The magician’s alegebra magic was also somewhat tragic …
Until he found a magic maths hat,
That made his homework considerably more fantastic !**

**The Magician’s Magic Maths Hat Trick**

**Write a mathematical equation to show your working out to the following maths problems.**

** 1/ If the magician was 1.98 metres tall with his hat and 1.68 metres tall without it .. how high was his hat ?**

** 2/ If the magician cast a magic homework spell … which answered 45 % of the 600 questions for him ! How many were left ?**

** 3/ If the magician cast a magic homework spell … which wrote homework at a rate of 200 words every 2.5 minutes – how long did the magician take to write an essay 2 , 600 words long ?**

** 4/ If the magician cast a magic homework spell … which finished maths : English : history homework in 12 hours in a ratio of 1 : 2 : 3. How long did the magician spend on each homework ?**

** 5/ If the magician cast a magic homework spell … which subtracted 15 questions more than 25 division questions … how many subtraction questions were there in his homework ?**

** 6/ If the magician cast a magic homework spell … which answered one third of the 660 questions … how many questions were left ?**

** 7/ If the magician cast a magic classroom spell … which doubled the length of class time – how long in minutes was a normal maths lesson lasting 2.3 hours ?**

** 8/ If the magician cast a magic school spell … which made the school bell ring for three times of it’s normal 2.8 minutes – how long did it ring for ?**

** 9/ The magician cast a magic classroom spell … which made the teacher disappear ! His 30 students went to look for him … but couldn’t find him anywhere ! 8 students went looking by the bicycle sheds, 12 students went looking by the Sports Hall and 10 students went looking by the library. Express this as a ratio. What fraction of the students went looking by the Sports Hall ? What decimal went looking by the bicycle sheds ? What percentage went looking by the library ?**

** 10/ If the magician cast a magic classroom spell … which quadrupled the number of books on the bookshelf, how many books were there if there were originally 18 ?**

** 11/ The Magician’s Magic Wand waved magic everywhere, before long, one – fifth of the pupils had fallen off their chair ! If there were originally 65 pupils, how many pupils remained seated ?**

** 12/ The Magician magicked the Headmaster to cancel everyone’s detention … soon, everyone in the class, had much more leisure time to mention ! The Magician should have been in detention for one hour and twenty minutes … but the magic spell reduced this by one – fifth. How long was the magician’s detention now ?**

** 13/ The Magician cast a magic spell on his school satchel … Now there were three times as many pencils, twice as many textbooks and four times as many books. If there were originally 8 pencils, 5 textbooks and 6 books. How many items were there now in total in the school satchel ? Which two of the school things were now in equal numbers ?**

** 14/ When the magician magicked his magic maths wand on the school Sports Day, there were many more gold medals – 50 gold, 100 silver and 150 bronze. Express this as a ratio. What fraction of the medals were gold ? What decimal were silver ? What percentage were bronze ?**

** 15/ The Magician cast a spell to reduce the length of time it took him to cycle to school …. His spell reduced his travelling time by one – third – if he originally cycled at a speed of 7.5 km / hour, how long did it take him, after the spell, to cycle 22.5 km ?**

**© Jacqueline Richards 2007**

**Answers : 1/ 198 – 168 = 30 cm
2/ 600 – (600 / 100 x 45 = 270) = 330
3/ 2600 / 200 = 13 x 2.5 = 32.5
4/ One part = 12 x 60 = 720 / 6 = 120 therefore 2 : 4 : 6 hours on mats : English : History respectively.
5/ 15 + 25 = 40
6/ 660 – (660 / 3 = 220) = 440
7/ 2.3 x 2 = 4.6 x 60 = 276 minutes
8/ 2.8 x 3 = 8.4 minutes
9/ a) bicycle sheds : Library : Sports Hall = 8 : 10 : 12 = 4 : 5 : 6 b) 12 / 30 = 2/ 5 ths c) 8 / 30 = 0.26 d) 10 / 30 = 33 %
10/ 18 x 4 = 72 books
11/ 65 – (65 / 5 = 13) = 52
12/ 80 – (80 / 5 = 16) = 64
13/ a) (3 x 8) + (2 x 5) + (4 x 6) = 24 + 10 + 24 = 58 b) pencils and books
14/ a) 1 : 2 : 3 b) 50 / 300 = 1/ 6 th c) 100 / 300 = 1/ 3 = 0.3 d) 150 / 300 = 50 %
15/ 22.5 / 7.5 = 3 hours – (3 / 3 = 1) = 2 hours**