Fractions, Percentages, Decimals
Algebra and Best Buys
Cartesian Plane
Probability
Statistics
100
Convert 0.75 to a fraction in simplest form
3/4
100
The cost of a 750g box of weetbix is $8.25.
What is the unit price per 100g?
$1.10 / 100g
100
State the coordinates of point M.
(3, -2)
100
A game in a classroom uses the spinner shown.
State the likelihood of spinning an odd number.
Choose from: likely, even chance, unlikely, impossible, or certain.
Even chance
100
Classify the following example as categorical, discrete numerical or continuous numerical data:
What languages do you speak at home?
Categorical
200
Write 3.2% as a decimal.
0.032
200
The cost of 2L of milk is $3.15.
What is the unit price per L?
Round your answer to 2 decimal places.
$1.58
200
State which point is located at (-4, 3).
E
200
Consider the spinner shown. State the symbol that it is most likely to land on.
Ball
200
State whether the following example of numerical data is discrete or continuous:
How long it takes you to fall asleep at night.
continuous
300
Calculate 8% of $300
$24
300
Solve for x
3x - 2 = 19
x = 7
300
The diagram shows a distance-time graph for a car journey and its return home.
Determine the distance the car travelled between point B and point C.
40 km
300
Consider the following spinner.
State the two equally likely events.
Landing on red and landing on orange.
300
Calculate the range of the following data set.
49.4, 47.2, 25.4, 34.2, 28.4, 32.2
24
400
Anne lives 22 km from school. She walks 15% of the way and 85% of the way she takes the bus.
How many metres does she walk?
3300 m
400
Write an expression for the statement:
2 less than half of x
x/2 - 2
400
Determine if the points on the following cartesian plane are linear or non-linear.
Linear
400
Paul has 23 marbles in a bag and 4 of them are black.
Paul picks a marble from the bag without looking. Find the probability that Paul picks a black marble.
Write your answer as a fraction.
4/23
400
A cyclist measured his heart rate immediately after finishing each event in which he competed. The results are recorded in the following stem and leaf plot.
Find the median heart rate.
178 beats per minute
500
Max got 2/10 for his first spelling test, 3/6 for his second spelling test and 17/20 for his third spelling test.
Which test gave the best percentage? Show your working.
500
At a small high school there are two classes in Year Seven. One class has seven more students that the other class. Altogether there is a total of 49 Year-Seven students.
How many students are in each class?
21 and 28
500
The following graph shows the volume of water in a bucket which has a hole in it. The time at the start is zero.
Determine the amount of water (in milliliters) left in the bucket after 20 seconds.
600 mL
500
A single marble is drawn from the following jar of 5 red, 7 blue and 8 black marbles.
Find the probability of drawing a blue marble or a red marble. Give your answer as a percentage.
60%
500
Raajeev has averaged 72% for his four tests so far in Science this year. There is one more test for the year. Is it possible for Raajeev to receive an average of 80%? Explain your answer.
Answer:
Five tests out of 100 comes to a total of 500 marks available.
80% of 500 = 400
So Raajeev needs a final total of 400.
72 x 4 = 288
400 – 288 = 112
Raajeev needs 112% for his final test which is not possible.
So Raajeev will not be able to receive an average of 80% for his test this year.