Algebra
Probability
Data
Measurement
problem solving
100

2b divided by 5 +12 = 16

what is b?

10

100

JAWS gaming 1311 has 2 creeper farm, 1 mob farm and 3 marbles in a bag. What is the theoretical probability of him making a creeper farm?

1/2

100

what is the mean of the following numbers? 2,4,8,2,6,2,1,3,5,10

4.3

100

a rhombus with the base of 12 and height of 16 has an area of what?

1922

100

a car travels at 40 kmph. How many minutes will it take for the car to travel 10 km?

15

200

2(b+14) x10 = 400

what is b?

6

200

if a dice is rolled 12 times, 1 is rolled once 2 is rolled none 3 is rolled 2 times, 4 is rolled 5 times 5 is rolled once and 6 is rolled twice, what is the experimental probability of 4?

5/12

200

what is the IQR of these numbers? 1,2,4,6,8,9,12 1,6,2,3,8,9,4,12

9-2=7

200

the area of a circle is 53.41 (rounded) working backwards, figure out the diameter and radius of the circle.

diameter=17 radius=8.5

200

jimmy and billy are throwing stones at each other. Billy knocks out 2 teeth per hour and has already lost 2 baby teeth. Jimmy knocks out 4 teeth per hour and has lost 4 baby teeth and one tooth while playing rugby. Who has lost the most teeth in 4 hours? (the average child has 20 teeth)

Billy

300

4x2+5=30 what is x?

x=5/2 or -5/2

300

3 different pizzas are cut into multiple slices. bob has taken 2/10 of pizza 1, dave has taken 1/10 of pizza 2 and john has taken 2/5 of pizza 3. If there was 15 slices on pizza 1 10 slices on pizza 2 and 14 slices on pizza 3, what is the theoretical probability of picking a slice of pizza 2 at random? (answer in %)

23% 

300

what is the IQR of these numbers? 2,24,5,9,45,6,34,5

29 

300

A scalene triangle has a base (b) of 24 cm if the height of the triangle is the base -16 what is the length of the hypotenuse of the triangle? (round to the 2nd decimal)

14.42

300

if a cow weighs 17kg and eats 400g of grass every hour, but has a 30 min break every 2 hours what is the weight of the cow after 8 hours?

19.4 kg

400

fill in the blanks:

y=-x+2

x -3 -2 -1 0 1 2 3 6

-7 -2 1 2 3 6 11 38

400

in a car dealership of 200 cars 100 are holden 20 are chevrolet 50 are toyota 5% are mazda and 1/10 are nissan. What is the probability of picking:

a) a nissan or mazda?

b) a holden?

c) a chevrolet or toyota?

(write answer as a percentage)

a=15%

b=50%

c=35%

400

the ratio in a paint mixture is 4:2 red, green. If there is half a litre of red paint, how much green paint would be in the mixture? (answer in mL)

250 ml

400

What is the volume of a cylinder with a height of 14cm and a diameter of 12 cm? (round to the 2nd decimal)

1583.36cm3

400

Bob is travelling towards a hotel 120 km away at 60 kmph, he leaves at 230.His father who gets lost and goes the wrong way drives 60 km in the other direction at 20 kmph leaving at 300 pm. After reaising he went the wrong way bob's father buys a faster car which halts him for another 15 min. After buying his car he travels back the way he came towards bob at 60 kmph how long did bob have to wait for his father to arrive at the hotel? (show in hours and minutes)

4 hours 45 minutes

500

at what coordinate point do the lines y= -1 + 13 and y=2 -3 meet?

(5.5,7.5)

500

Billy has 5 marbles. 3 blue 1 black and one orange. Bily puts the 5 marbles in a bag and draws a single marble. Then his friend Jimmy pulls out a single marble at random after him. What is the probability of them both taking a blue marble?

3/10

500

car A travels 160km per 40 litres of petrol. Car B uses twice as much petrol as the first car and travels 4 times as many kms. Car C uses 4x less petrol than car B but travels a distance twice as short as car A. What is the km per litre for car C as a ratio? (simplify your answer)

4:1

500

what is the area of a sector of a circle with a radius length of 23cm and an angle of 43o? (round to second decimal)

190.51

500

The sum of two numbers is 24. the difference between the two numbers is 5. What are the two numbers? 

14.5 and 9.5