**1)**

**2)**

**3)**

**4)**

**If triangle DEF points A, B, and C are taken on DE,DF and EF respectively
such that EC = AC and CF = BC. If angle D = 40 degrees then what does angle
ACB equal (in degrees)?**

**5)**

**6)**

**(C is the midpoint of AB)**

**7)**

**8)**

**9)**

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**11)**

**12)**

**13)**

(a^{2}+ b^{2}) (c^{2}+ d^{2}) = (ac +\- bd)^{2}+ (ad -\+ bc)^{2}

**14)**

**15)**

**16)**

**17)**

**What is the height of the car in metres when x = 750? What is the
period of motion?**

**What is the maximum height the rollercoaster reaches?**

**What is the x value at this point?**

**18)**

**19)**

**How much would you say should be spent on research to make a profit
of 40 million dollars?**

**120 Million dollars?**

**20)**

**It read:**

**For what values of r does the line y = 2x-3 intersect (at one or
more points) the circle x ^{2} + y^{2} = r^{2}.**

**He found one of the answers to be 1.**

**Was he right?**

**If not, what were all the answers?**

**21)**

**When contacting their local Canadian Tire they found that each digit
cost 50 cents. The total bill for all the digits was $42.50 and the even-numbered
side cost $5.50 less than the other side.**

**When the gap is filled there will be exactly the same number of houses
on each side. What is the number of the last odd-numbered house, and what
are the missing numbers on the other side?**

**22)**

**What is the digit?**

**23)**

**24)**

**25)**

**26)**

**27)**

**28)**

**29)**

**b) If 5@2 = 13, 3@3 = 6 and 2@4 = 2, find 2@8. What is your rule?**

**30)**

**31)**

**32)**

**33)**

**34)**

**If pq is perpendicular to both lines, then what is the y intercept
of a2?**

**35)**

**b) What is the value of (tan 45)*(cos 30 )* (sec 120)*(sin 150)*(cot
90)* (scs 315)?(all angles expressed in degrees)**

**Try this problem without a calculator.**

**36)**

**37)**

**38)**

**39)**

**40)**

2 3 4 5 9 8 7 6 10 11 12 13 17 16 15 14

**41)**

**In a triangle ABC, M is the midpoint of the side BC, AN bisects angle
BAC, BN is perpendicular to AN. If sides AB and AC have lengths 14 and
19, then what is the length of MN?**

**42)**

**43)**

**44)**

**45)**

**Note: The third star consists of two like the first star, but the
second star cannot be split into smaller ones. How many different stars
of the unsplitable type can be drawn with n = 7, 8, 9, 10, and 15? Create
a table of your results.**

**Find the property which n and m must have for the corresponding star
to split up into two or more smaller stars.**

**46)**

**47)**

**The fort commander General Gregorie LeVangie knew that the enemy
would not charge as long as they could see 15 active defenders on each
side, so with 40 troops under his command, he stationed 5 in each defensive
position. When one of his men was wounded he arranged the rest so that
the enemy could still see 15 on each side. How did he do this?**

**Further casualties occurred. Explain how, as each man falls, LeVangie
could rearrange his troops around the fort to prevent a concerted attack.
Reinforcement arrived just as the enemy was about to charge. How many active
defenders did they find left?**

**48)**

**49)**

**50)**

**51)**