EXEMPLARS FOR QUESTION STYLES
Some specialized styles of questions are included in the Principles of Mathematics 10 Examination.
Sample items are provided so that students and teachers can become familiar with the nuances of
each style.
A. Multiple Choice
i) Standard Multiple Choice
ii) Rank Order Multiple Choice
iii) Quantitative Comparison Multiple Choice
B. Numerical Answer
Achievement and Assessment Department
(Issued September 2006)
–1–
Principles of Mathematics 10
Exemplars for Question Styles
A.
MULTIPLE CHOICE
i)
Standard Multiple Choice
Knowledge
Prescribed Learning Outcomes – C1
1. Which of the following represents an arithmetic sequence?
*
A.
6, 2, 2, 6, 10 …
B.
3, 9, 27, 81, 243 …
C.
4, 6, 10, 16, 22 …
D.
1 1 1 1
, , , …
2 4 6 8
Achievement and Assessment Department
(Issued September 2006)
–2–
Principles of Mathematics 10
Exemplars for Question Styles
ii)
Rank Order Multiple Choice
This style of item tests a student’s ability to sequence an event or concept.
Understanding
Prescribed Learning Outcomes – B5
2. Which of the following arranges the numerical expressions shown below in order from the
smallest value to the largest value?
I.
II.
A.
B.
C.
D.
8
III.
4 6
IV.
5 3
V.
*
3 7
2 15
I, V, II, IV and III
I, V, IV, II and III
V, I, II, IV and III
V, I, IV, III and II
Achievement and Assessment Department
(Issued September 2006)
–3–
Principles of Mathematics 10
Exemplars for Question Styles
iii)
Quantitative Comparison Multiple Choice
This style of item tests content as well as a student’s ability to analyse quantitatively.
Knowledge
Prescribed Learning Outcomes – D8
Use the following graphs to answer question 3.
Graph A
Graph B
y
y
4
4
2
2
x
x
–4
2
–2
4
–4
2
–2
–2
–2
–4
–4
4
3. Which of the following statements is correct about the slopes of the lines?
*
A.
B.
C.
D.
The value of the slope in graph A is less than the value of the slope in graph B.
The value of the slope in graph A is greater than the value of the slope in graph B.
The slopes in both graphs are equal.
The relationship cannot be determined from the graphs.
Achievement and Assessment Department
(Issued September 2006)
–4–
Principles of Mathematics 10
Exemplars for Question Styles
B. NUMERICAL ANSWER
This style of item is designed to allow students the flexibility of an open-response question within
a machine-scoreable format.
Understanding
Prescribed Learning Outcomes – B5; A1, A5, A9
4. A box in the shape of a rectangular prism has dimensions shown in the diagram below.
A spider travels in straight lines directly from A to C and then from C to F.
A
D
B
C
50 cm
E
H
30
F
20 cm
cm
G
Calculate the total distance travelled by the spider (to the nearest tenth of a centimetre).
When answering Numerical-Response questions, please note the following:
•
Find the correct question number on the Response Form and write your answer in the spaces
provided, noting proper place value. Only one digit per box.
•
PRINT your digits as shown below. Keep within the box provided.
•
•
Negative answers must include a shaded negative circle. If neither circle is bubbled,
the answer will be read as positive.
Leave unused boxes blank.
•
For example, the answer 89.9 will be written as shown.
Achievement and Assessment Department
(Issued September 2006)
–5–
Principles of Mathematics 10
Exemplars for Question Styles