Algebra
Equations
Probability
Measurement
Lucky Dip
100
How many terms are in the following expression?
8ab + 3a + 5b + 6
4
100
Solve the following equation:
4a-12=24
4a-12 = 24
4a=36
a=9
100
The probability of winning a raffle is 0.0125. What is the complement of this event (and the probability of the complement)
Complement of winning = NOT winning (i.e. losing)
Pr(Not winning) = 1 - 0.0125 = 0.9875
100
12cm2 is the same as...
A: 0.12m2
B: 1.2m2
C: 120mm2
D: 1200mm2
D: 1200mm2
(remember, for area, you have to do the conversion twice! cm -> mm = x10. cm2 -> mm2 = x102 = x100)
100
What date is your Semester test for Maths?
Friday 3rd November 2023
200
What name is given to the 2 in the following expression?
2x+5
Coefficient
200
Sole the following equation, showing algebraic working out. Leave your answer in fraction form if need be:
1/3 (27w-9) = -18w
9w-3=18w
27w-3=0
27w=3
w= 3/27 = 1/9
200
Aly has homework for history, English, mathematics, geography and art. She wrote each subject on a piece of paper and will draw one at random to decide which to do first. State whether each of the following statements are true or false:
1: The probability that she does English homework first is 0.2.
2: The probability that she does not do English homework first is 0.8.
3: The probability that she does English homework first is the same as its complement.
1: TRUE
2: TRUE
3: FALSE
200
Find the area of the following shape:
A = 1/2 xx base xx height = 1/2 xx 4 xx 3 = 6m^2
200
Name the ORIGINAL version of this song:
Cherry Pie - Warrant
300
Simplify the following by collecting like terms:
6a + 7c + 5 - 2c + 1
6a + 7c + 5 - 2c + 1 = 6a + 7c - 2c + 5 + 1
= 6a + 5c + 6
300
Write an algebraic equation for the following worded description, and then solve it.
"A number is divided by 3 and is then added to 5 to give a result of 11."
x/3+5=11
x/3 = 6
x = 18
300
Oscar, Max and Tahlia are playing a game where they flip 2 coins. Oscar wins if both coins are heads. Max wins if neither coin is heads. Tahlia wins if there is only one head.
Find the probability of each person winning.
Pr(Oscar wins) = Pr(HH) = 1/2 x 1/2 = 1/4
Pr(Max wins) = Pr(TT) = 1/2 x 1/2 = 1/4
Pr(Tahlia wins) = Pr(HT) + Pr(TH) = 1/2 x 1/2 + 1/2 x 1/2 = 1/4 + 1/4 = 2/4 = 1/2
300
A circle has a diameter of 20cm.
1: Draw a diagram of this circle
2: Calculate the Circumference of the circle (2dp)
3: Calculate the Area of the circle (2dp)
1: 
2: C = pi xx d = pi xx 20 = 62.83cm
3: A = pi xx r^2 = pi xx 10^2 = 314.16cm2
300
Combine the following numbers together using addition, subtraction, multiplication and division to reach the target number. Each number can be used only once. You do not need to use all numbers.
100, 9, 6, 2, 8, 5 TARGET: 538
Many solutions exist. Some possible combinations:
5x100 + 2x(9+6) + 8 = 500 + 30 + 8 = 538
5x(100+6) + 8 = 530 + 8 = 538
5x(100+8) - 2 = 540 - 2 = 538
etc.
400
Evaluate the following expression by substituting in the following values:
a = 4, b = -5 c = 6
3(a+2)-2(2b-5c)
STRATEGY 1: Expand and simplify, THEN evaluate
3a+6-4b+10c = 3xx4 + 6 - 4xx-5 + 10xx6
=12 + 6 + 20 + 60 = 98
STRATEGY 2: Substitute, then simplify and evaluate
3(4+2)-2(2xx-5-5xx6) = 3xx6-2(-10-30)
=18 - 2xx-40 = 18 + 80
=98
400
Use the formula below to calculate the value of v if f = 12 and u = 18:
1/f = 1/u + 1/v
If f = 12 and u = 18, then:
1/12 = 1/18 + 1/v
3/36 = 2/36 + 1/v
1/36 = 1/v
v = 36
400
A bag contains 120 balls, some of which are red, some blue and the rest yellow. The probability of drawing a blue ball is 1/12 and the probability of drawing a red ball is 2/5. Find the number of yellow balls in the bag.
Pr(red) + Pr(blue) + Pr(yellow) = 1
2/5 + 1/12 + x = 1
24/60 + 5/60 + x = 1
x = 31/60 = 62/120
62 yellow balls
400
Calculate the area of the following shape:
30m2:
400
Recite pi to as many digits as you can. Most digits accurately remembered = 400 points, 2nd = 300 points, 3rd = 200 points, 4th = 100 points
pi =
3.1415 92653 58979 32384 62643 38327 95028 84197 16939 93751 05820 97494 45923 07816 40628 62089 98628 03482 53421 17067 9...
500
Simplify the following expression:
HINT: When adding and subtracting fractions, the first step is to make sure that...
(3x)/4 - (x+2)/3 + (x+2)/12
(3xx3x)/12 - (4(x+2))/12 + (x+2)/12
(9x)/12 - (4x+8))/12 + (x+2)/12
(9x - 4x - 8 + x + 2)/12
(6x-6)/12 = (6(x-1))/12 = (x-1)/2
500
$450 is divided among three students: Saddie, Eamon and Tom. Sadie receives three times as much as Eamon, and Tom receives twice as much as Eamon. How much money does each student receive?
Let x = Emi's money
3x + 2x + x = 450
6x = 450
x = 75
Therefore Sacha has $225, Liz has $150 and Emi has $75.
500
Michael will win $100 at the carnival if he can do all of the following: Flipping a coin and getting heads. Rolling a die and getting a 6. Drawing a card from a deck and getting an Ace.
List the probability of each individual event, then find the probability of all 3 events happening at the same time. If it costs $1 to play, should Michael play this game?
Pr(Coin=Heads) = 1/2 or 0.5
Pr(Dice=6) = 1/6 or 0.17
Pr(Card=Ace) = 1/13 or 0.08
Pr(Heads AND 6 AND Ace) = 1/2 x 1/6 x 1/13 = 1/156 or 0.006.
For the game to be fair, Pr(Winning) = 1/100, since $1 is 1/100 of $100. The odds are lower than this, so this game is unfair (i.e. Michael should not play it).
500
The perimeter of the quadrilateral below is 100cm. Find the value of x.
LCD of 1, 3 and 7 is 21, so:
(4x)/7 +(2x)/3+x+x/7=100
(12x + 14x + 21x + 3x)/21=100
50x=2100
x=2100/50
x=42cm
500
Name 5 teachers who currently teach year 7 maths (100 points for each):
Mr Ford, Miss Anderson, Mr Chan, Miss Fernandez, Mr Hunter, Mr Prudden, Miss Schuette, Mr Catarinich (Mr Cat), Miss Webb, Miss Hopwood, Miss Polymen, Mr Waterman, Mr Warmbrunn, Miss Williamson, Miss O'Sullivan