JC Jeopardy

Algebraniac

100

factorise 

4a²-25b²

(2a-5b)(2a+5b)

200

Factorise

12xy - 18yz

6y(2x-3z)

300

Solve 

5x² + 27x - 18 = 0

x = 3/5

x = -6

400

(2x³ + 9x² + 3x - 4) / x + 4

2x² + x - 1

500

Investigate whether 3-*2* is a solution of the equation x²-6x+7=0

it is :)

Few Trigs up my sleeve

100

If tanA = 1/2, what is sinA?

1/*5*

200

If tanC = 1/*3*, find the values of SinC and CosC.

1/2

*3*/2

300

Find the value of the angle 

2SinA = 1

30^o

400

A ladder makes an angle of 70^o with the ground. The foot of the ladder is 1.2m from the wall.

How long is the ladder, correct to 1dp

3.5m

500

What is pythagoras' theorem? (explain)

DOUBLE POINTS BELOW

What is the converse of pythagoras' theorem.

1) the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle) 

2)The converse of the Pythagorean Theorem says that if a triangle has sides of length a, b, and c and if a² + b² = c² then the angle opposite the side of length c is a right angle 

Pattern makes Perfect

100

Tell me the next 4 terms in this pattern

2, 5, 8, 11, 14,.....

17, 20, 23, 27

200

Describe in words this pattern

-6, -3, 0, 3, 6,.......

begins at -6 and then proceeds by adding 3 on each term

300

A sequence has the rule "multiply by 2 then subtract 2", find x and y.

x, y, 10, 18, 34, 66,.....

x = 4

y = 6

400

If Tn = 2n + 5

What are the first 3 terms and the 50th term?

T1=7

T2=9

T3=11

T50=105

500

Write an expression for the nth term

-3, 0, 3, 6, 9,.....

3n-6

Money, Money, Money

100

What is the percentage increase when

$40 increases to $60

50%

200

A jacket selling at $250 has a margin of 50%, find

the profit

$125

300

Anna uses her car on a business trip, she is allowed to claim back 68c per km for the first 80km and 42c per km for the rest.

How much can she claim on a 135km journey

$77.50

400

Leah has a weekly wage of $750. Her weekly tax credit is $72 and the standard rate of tax is 25%.

How much income tax does she pay?

$115.50

500

$4600 was invested for 2 years at compound interest.

If the rate for year 1 was 4% and the second year was 5%, find the total amount of interest for the 2 years

$423,20

Coordin-hate Geomet-me

100

what is another word for slope?

gradient

200

The line m contains points (3,-1) and (4, -2)

Find the slope of any line parallel to m

-1

300

If the slope of the line through the points (3,2) and (8,k) is 3/5, find the value of k

-8/3

400

Find the equation of the line that is parallel to the line 3x-y+4=0 and goes through the point (2,4)

3x-y-9=0

500

The line ax + y + 1=0 passes through the point of intersection of the lines x=2 and the x-axis.

Find the value of a.

-1/2