PDF file: 1. Crazy math maze work sheet 1 UK

PDF file: 2. Crazy math maze work sheet 2 UK

# CRAZY MATHS MAZE WORKSHEET ANSWER

PDF file: 3. Crazy math maze work sheet ANS UK

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PDF file: 1. Crazy math maze work sheet 1 UK

PDF file: 2. Crazy math maze work sheet 2 UK

PDF file: 3. Crazy math maze work sheet ANS UK

According to **‘Bored Out of Their Minds’,** an article by ZACHARY JASON in The Harvard Ed Magazine (2017):

**Boredom accounts for nearly a third of the variation in student achievement. **

**Half of high school dropouts cite boredom as their primary motivator for leaving.**

Boredom begins for Math students at Grade 6 when students (Common Core Standards, USA) tackle more abstract concepts such as linear eqns, exponents, probability, geometry and so on.

Math curriculums in the USA, UK & Australia all demand students solve REAL LIFE problems. Too often these are of the type:

Q. Ronaldo has tethered his goat on a 12ft rein in the corner of a 20ft square field. What area can the goat graze?

**THE ANS: Who cares?**

Students really don’t care about Ronaldo’s goat, but here are some questions which involve intriguing answers they might want to work out. And many of these questions involve funny or age-relevant activities, which also helps engagement.

**1. Mean, Median STATS:** **Mean, Median and Coffee: Busting an Urban Myth**

**2. Parabolas: ****Can you beat the 12-14 yo World Record for a Watermelon Pip spit?**

**3. Geometry:** **Build a Freestanding Tower**

**Rates (Speed) & Units:**

**4a.** **The Terrifying Math of Running from a bear**

**5. Decimals, %, Volume:** **What Volume of alcohol is lethal for teens?**

**6. Decimals, Algebra, Weight Units**

**How much blood can a kid lose and survive?**

Graph **Hunger Game Math**

**7. GEOMETRY. Angles**

**Any Topic:**

**8.** **Middle School Math Photo Scavenger Hunt**

Space Math Song** here**

**EVEN TEACHERS GET BORED!!!**

The average time it takes **an audience at a conference** to switch off is 11 minutes. Keep in mind this audience is, at least, being paid to be bored witless.

As the weather improves – Spring in Melbourne, my city & Autumn in USA & UK – it is an ideal time to take math outdoors. Here are some fab exercises for Middle School Math.

**Lego Man soccer fields will vary in size depending on the height of each player picked by each student. This does your head in. It is really challenging maths!**

**McGill Uni link here.**

Don’t forget to throw in Mathspig’s lame protractor jokes.

**You’ll find full calculations at the Maths is Fun blog.**

**You’ll find more fab outdoor junior and middle school maths activities at the terrific Maths and Movement blog.**

**Some students will discover their co-ordinate point is not on the grid. Students should then work out that they will need a different scale for the y-axis. You can get more inspiration at the Stand Again blog.**

Aussie Pro surfer, Mick Fanning, grabbed world attention when he was attacked by a shark in the Fanning J-Bay Open, South Africa on Sunday 19 July, 2015. Fanning was knocked off his board and forced to fight for his life. He survived. News.com

One shark expert suggested the shark was a young great white shark under 3.5 m or 12 ft.

According to the Smithsonian National Museum of Natural History:The torpedo shape of the great white is built for speed: up to 35 miles per hour (50 kilometers per hour). And then there are the teeth — 300 total in up to seven rows.

**According to Junior Olympic Games Qualifying Times 2015**

**For 13-14 yo 100m or 328 ft freestyle:**

**t girl = 1.15 or 75sec**

**t boy =1.10. Or 70 sec**

**Let’s assume you are an average swimmer but highly motivated on seeing a shark:**

**t kid = 100 secs**

**So you can swim 100m (328 ft) in 100 sec. But will you survive??????**

Surf Lesson Bluey’s Beach NSW 2009

We’re sooo tough in Australia! Shark, Smark! Whatever.

Picture from Daily Telegraph

Also according to the Smithsonian: Sharks can detect both the direction and amount of movement made by prey, even from as far as 820 feet (250 meters) away.

But there is hope as, according to the National Geographic Channel, Most shark attacks occur less than 100 feet or 30.5 m from the shore mainly around popular beaches in North America (especially Florida and Hawaii), Australia, and South Africa.

If average swimmer Dav is 100 ft (30 m) offshore and starts swimming when he sees the shark 820 ft (250 m) away, he would swim 63 ft (19.2 m) before the shark attacked. He is still 37 ft offshore. He might make it to shallow water. Or not!!!!

Again we will assume that the swimmer is 30m ( 100 ft) offshore when he sees the shark fin 250m (820 ft) away. But this time we will have the world’s fastest swimmer. This time we are talking Dav Holmes vs Shark!!!!!!!!!

If world champion swimmer Dav starts swimming when he saw the shark 820 ft (250 m) away, he would swim 163 ft (49.6 m) before the shark attacked. He would easily make it to shore before an attack. Dav would be swimming on sand.

Here is an example of Gambler’s Fallacy, but for non-gamblers.

We see – in this case – hear a pattern and then attribute meaning to this pattern – It’s a conspiracy!!!! – when there is no pattern and no meaning!!!!! So Apple found when designing their iPod shuffle feature later on the iPad and iPhone.

“When Apple first introduced the shuffle feature on its iPods, the shuffle was truly random; each song was equally likely to be picked than any other. However, the randomness didn’t *appear *random, since some songs were occasionally repeated, and customers concluded that the feature contained some secret patterns and preferences. As a result, Apple was forced to revise the algorithm. ‘We made it less random to make it feel more random,’ said Steve Jobs, the CEO of Apple’

p68 **The Decisive Moment How the Brain Makes Up Its Mind** Jonah Lehrer (Text Publishing 2009)

Try it. Pick 12 songs maybe off your playlist – Your MP3 player, perhaps or a Top 20 Chart or Top 20 Downloads Chart – assign each song a number: 1, 2, 3….up to 12. Take two dice (Diehards Note: It’s 1 die, 2 dice) and roll.

How many throws until you get 2 songs played in a row?

**Weight: 550 lb **

**Height: 8’ 2” **

**Top Speed: 35 mph = 51 ft/s **

**Weight: 1,500 lb **

**Height: 8’ 2” **

**Top Speed: 22 mph = 32 ft/s**** **

**Comparing these speeds to the fastest man on earth, Usain Bolt:**

**Top speed: 27 mph = 40 ft/s **

………………………………………………………………………

**In fact, more Americans die each year from choking on their own vomit than are killed by bears.**

**More death stats here. **

**Nevertheless, bears are very fast. So you can see why Park Rangers offer the following advice:**

More information at Mountain Nature.

**The reason for waiting until the bear is 15 ft away is to make sure the spray doesn’t disperse in the air. If the Pepper Spray is too spread out it will not stop the bear.**

Ref: Dog helps save hikers after grizzly chases them for 20 minutes.

**Weight: 250kg**

**Height: 250cm**

**Top Speed: 56kph = 16 m/sec**

**More bear stats here. **

**Weight: 680kg**

**Height: 250cm**

**Top Speed: 35kph = 10m/s**

**More bear stats here.**

**Comparing these speeds to the fastest man on earth, Usain Bolt:**

**Top speed: 243kph = 12m/s**

**So Usain Bolt could out run a Brown Bear but NOT a Grizzly!**

**In fact more Americans die choking on their own vomit each year than a re killed by bears.**

**More death stats here.**

**But bears are very fast so Park Rangers recommend the following survival tactics:**

**More bear survival info here.**

**REF: Dog helps save hikers after grizzly chases them for 20 minutes here.**

Mathspig grew up on a police station in the small Australian country town of Kyneton, Victoria in the 1960s. Australia has a very strict gun laws today. But such laws didn’t exist in the sixties. My Dad’s .22 rifle rested against our fridge. He pocketed the magazine.

**A .22 means a bullet calibre of .22 inches.**

**My Dad the Sharp Shooter** stopped a stolen car with one bullet. This was considered legendary by his fellow cops. He didn’t shoot the tyres. He managed, by accident and possibly even though he was aiming at the tyres, to hit the electrical lead into the car’s distributor cap. Phht! Car go no more. More on my childhood **here.**

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One measure of the accuracy of rifles, riflescopes but also the sharpshooter is the MOA or Minute of Angle. The MOA can also be used to define the target zone (circle).

I cannot show you a triangle with an angle of 1′ because it would have to be 100m long on one side and only 3cm tall.

Needless to say, drawings are NOT to scale.

A sharpshooter can put 5 out of 6 bullets in a target zone drawn at 1′ angle around centre of target at any distance.

As the distance away from the target increases the target zone circle area increases.

A sharp shooter would be considered very skilled if they can shoot within a target zone (circle) of 10.5 inch radius at 1000 yds. Hitting a bull’s eye at this distance is down to luck.

When Mathspig recently saw images of some Russian soldiers covered in medals it prompted the question

Mathspig was interested in this question because megalomaniac military dictators who take over countries by force tend to award themselves lots of medals. But they are also likely to be the target of sharpshooters from a liberation movement.

The target zone (circle) had a diameter of 1.9cm. This is smaller than the diameter of an American Quarter, an Australian 10c and a UK pound all of which have a diameter of appro 2.4 cm.

So the megolmaniac military dictator wins!!! He IS protected – on his chest – by his medals!!!!!! Unless the sharpshooter manages a ‘lucky’ shot.

Reposted due to popular demand.

Mathspigs you are about to be hit on the head with some **BALL PARK** figures. There is so much maths involved in comparing cricket and baseball I hardly know where to begin. So I will just set you up with comparative statistics for starters. Here they are:

You now have sufficient information to calculate the following:

Q1. If a cricket player makes 4 runs (and runs between the wickets) and a baseball player hits a home run, who runs the furtherest?

**ANS: 4 runs in cricket distance = 80.48 m**

**Home run in baseball distance = 109.6 m**

Q2. What are the delivery ball speeds of an average pitcher and a mid paced bowler in m/sec?

**ANS: Average Bowler Ball Speed = 110 – 125 km/h = 30.5 – 34.7 m/sec**

**Average pitcher Ball Speed = 80.47 km/h = 22.4 m/sec**

Q3. How far would the delivery of an average pitcher and a medium paced bowler travel in 10 seconds?

**S = d/t**

**t = 10 secs:**

**d = S x t = S x 10**

**ANS: In 10 sec a ball bowled by an average bowler would travel 305 – 347 M**

**In 10 sec a ball thrown by an average pitcher would travel 224 m**

Q4. If Shoaib Akhar fielded a ball in cricket 20 m from the wicket when the batsman was still 8m from the wicket (A typical running speed for humans is 32 km/h) would he be able to run him out?

**Akhar ball speed S = 45.0 m/sec**

**d = 20 m**

**S = d/t**

**t = d/S**

**t = 20/ 45.0**

**t = 0.44 secs**

**Batsman Speed = 32 km/h = 8.9 m/sec**

**How far can the batsman run in 0.44 secs?**

**d = S x t**

**d = 8.9 x 0.44 = 3.9 m**

**So batsman would be easily run out by Akhar as he is 8 m from the crease.**

Q5. How long would it take a ball thrown by Joel Zumaya to reach the batsman if the pitchers mound was exactly in the middle of the baseball square?

**ANS: Speed of ball pitched by Zumaya = 168.65 km/h = 46.8 m/sec**

Q6. Which sport is more dangerous?

**We will base our calculations on the speed (or velocity) and the weight (or mass) of the ball. We must use the same units in all calculations. For each sport plot x-axis: velocity of ball (v) against y-axis mass x velocity (mv) of the ball. mv is the momentum. In ballistics the change in momentum is called the IMPULSE (impact for us). If you are hit on the head with a ball it is the change in momentum of the ball that does the damage. A small ball at a high speed can do as much damage as a larger ball at a slower speed. We are not including spin, curve balls or air resistance to keep calculations straight forward … literally!!! **

**Now that you have your graph you can answer these questions:**

Q6a. Which sport for professional players is the most dangerous?** **

**You will have to look at the graph. A cricket ball is heavier than a baseball BUT the fastest pitchers can pitch a ball slightly faster than bowlers can bowl. IMPACT (mv) depends on multiplying mass by velocity. You will see the stats for Akhar and Zumaya marked on the graph and you can use these stats to estimate impact. **

**BUT then there is the impact of batting, which increases the velocity of the ball. That will have to wait for another post.**

Q6b. At what speed does a cricket ball do the same damage as a baseball? Give one example. (Hint: Draw a straight line from the Y-axis)

**Once again look at the graph above!**

**You will find more maths on impact on Mathspig: for a punch here and from hailstones here.**

Pics: Tim Lincecum (Left) with 101 mph pitch, Shane Warne (Upper Right) and Shoaib Akhtar (Lower Left)