Mathematics · Unit 16
Interpreting & Discussing Results
Section A — Stem-and-Leaf Diagrams
The diagram below shows scores of 16 students in a science quiz (out of 50). Key:
The diagram below shows scores of 16 students in a science quiz (out of 50). Key:
2 | 1 = 21 8 | 3 = 38
M1
How many students scored more than 35?
2 marks
students
M2
Find the median score of all 16 students.
2 marks
points
M3
Find the range of all scores.
1 mark
points
M4
Which stem has the most leaves on the right side? What does this tell you?
2 marks
Section B — Pie Charts
A survey asked 60 students about their favourite sport. Use the table to answer the questions.
A survey asked 60 students about their favourite sport. Use the table to answer the questions.
| Sport | Students | Angle |
|---|---|---|
| ⬤ Football | 24 | calculate → |
| ⬤ Badminton | 15 | 90° |
| ⬤ Swimming | 12 | calculate → |
| ⬤ Basketball | 9 | calculate → |
M5
What is the angle for Football in the pie chart?
2 marks
Formula: Angle = (number of students ÷ total) × 360°
degrees
M6
What is the angle for Swimming?
1 mark
degrees
M7
Which sport was chosen by exactly a quarter of the students? How can you tell from the pie chart?
2 marks
M8
What is the probability that a randomly chosen student picked Football? (Give as a simplified fraction — enter the numerator only, denominator is 5)
2 marks
/ 5
Section C — Using Statistics
Daily high temperatures (°C) in Jakarta over 9 days:
Daily high temperatures (°C) in Jakarta over 9 days:
31 34 33 31 36 31 35 38 33
M9
Calculate the mean temperature. Round to 1 decimal place.
2 marks
°C
M10
Find the median temperature.
1 mark
°C
M11
What is the mode?
1 mark
°C
M12
Student says: "The mean is the best average to use here." Which statement best evaluates his claim?
2 marks
M13 ⭐
Challenge: A 10th temperature is added, making the new mean exactly 33°C. What is the new temperature?
3 marks
°C
Maths score
—
Science · Unit 9
Electromagnets
An electromagnet is a temporary magnet created when electric current flows through a coil of wire wound around a soft iron core. It can be switched on and off, and its strength can be varied.
S1
What happens to the magnetic field when the switch is opened (circuit broken)?
2 marks
S2
Why is iron used for the core instead of steel?
2 marks
S3
Give two advantages of an electromagnet over a permanent magnet. (Select both correct answers)
2 marks
Section B — Factors Affecting Electromagnet Strength
A student counts how many paperclips an electromagnet holds as she varies the number of coil turns (current kept constant).
A student counts how many paperclips an electromagnet holds as she varies the number of coil turns (current kept constant).
| Turns | Paperclips held |
|---|---|
| 10 | 3 |
| 20 | 6 |
| 30 | 9 |
| 40 | 11 |
| 50 | 15 |
S4
What is the independent variable in this investigation?
1 mark
S5
Which variable must be kept constant to make this a fair test?
1 mark
S6
Which statement best describes the relationship between turns and strength?
2 marks
S7
Predict how many paperclips would be held with 60 turns.
2 marks
paperclips
Section C — Real-World Applications
S8
A scrapyard electromagnet sorts steel cans from aluminium cans. Why does this work?
2 marks
S9
Hospital MRI machines use very powerful electromagnets. Why must patients remove all metal objects beforehand?
2 marks
S10 ⭐
Extension: Name three changes that would make an electromagnet stronger using the same battery. Select all three correct answers.
3 marks
Science score
—
—
Complete all questions to see your final score
Maths—
Science—
Time—