Assessment For Faculty Feedback

Example
Comprehensive
High
Syllabus for comparison:

https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-
10-2022/content/stage-4/fa5d58f980?show=example
Year 8 Mathematics
Assessment Task 1: Term 1
draft
Wednesday 25 March 2024
 Time Allowed: 45 minutes + 5 minutes reading time.

 All questions should be attempted and answered in the space provided with all
necessary working shown.
 NESA approved calculators may be used.
 Write in blue or black pen.
Student Name: _________________________
1
Student Name: _____________________________
Section Mark Total
Number Operations and Index Laws 25
Algebra 20
Total 45
Total (%) 100
2
Section 1- Number Operations and Index Laws- 26 marks
1 Write the following expressions using index notation. 4
a) 3 ×3 ×3 = __________________________
b) a × a ×a × a ×a = ___________________________
c) 6 × 6× 6 ×6 × 5× 5 = ___________________________
d) 7 ×7 × 7 ×7 ×7 ÷ (7 ×7 ×7) = ___________________________
2 Simply the following expressions, write in index form. 2

a) 25 ×24 = _____________________
b) n10 ×n ÷ n3 = ______________________
4 3
3 2
a) Write ( 3 ) in expanded form. _________________________
b) Write (−9 )4 as a basic numeral __________________________
3
c) Explain why 2 x ×3 y does not equal 6 x+ y.
5 Evaluate the following leaving your answer in simplest index form. 5
3 5
a) ( 7 4 ) × ( 7 1) =¿ ____________________________
_____________________________
0
b) ( 57 ) × 5=¿ ____________________________
____________________________
c) 108 ÷ 103=¿ _____________________________
_____________________________
d) c 12 × c 6 ÷ c 7=¿ _____________________________
_____________________________
e) 15 x 8 t 3 ÷ 5 s2 t 2 x 2st 4 = ____________________________
_____________________________
6 Evaluate the following leaving your answer in simplest index form. 8
a) ¿ 24 x 2 y 4 ÷12 x y 3 −xy _______________________
_______________________
2 7 3 2
4 p q ×(3 p q)
b) =¿ ______________________
6 (pq )3 × p5 q 4
c) At 9 am there were 10 bacteria in a Petri dish.
i. If the number of bacteria doubles every minute, find out

4
how many bacteria were in a Petri dish after 2 minutes and
10 minutes.
___________________
ii. Use the trend in part I and derive a rule to make a connection
between the number of bacteria, N and the time, t (in minutes)
after 9 am. _______________________
6 Simplify the following: 2

49
a) 3− =¿ _______________________
7
(−15−5)
b) 10 −¿ =¿ _______________________
5
Section 2- Algebra- 21 marks

a) −9 h+3 h = _____________________________
b) −6 a ×−8 b ___________________________
8 If h=5 and k =4 , the value of the expression 3 h2−2 k is: 1
_____________________________
a) 9 s2 +4 s−5 s2 +7 s=¿ __ ____________________________
___________________________
5
b) 3 ab x 5 b x 8 c=¿ ______________________________
_____________________________
2
9x y z
c) = _______________________________
12 zyx
_______________________________
10 Expand 3 k (7−h) = _________________________ 1
11 Expand and simplify: 4
a) 7 ( y−1 )+ 9(2+ y ) = ____________________________________
____________________________________
b) 3 d ( 2−4 d )−2 d (5 d +6) = _________________________________
_________________________________
13 Find the highest common factor of 28bc and 12c. 1
________________________
13 Factorise the following: 4
a) 14−4 b = ______________________
b) 4 g +8 gh−16 = ______________________
c) −25 a3 bc−5 a 2 b 2 d = _____________________
14 a) Write a number sentence for 5 more than the difference 6

between m and 7.
__________________
b) A farmer’s paddock is a rectangle of length (2x-6) m and

width (3x +6) m, where x is the length variable.
6
(i) From the given dimensions of the rectangle, write an
equation to calculate the area of the paddock in factorised
form, assuming that the area is A.
_____________
(ii) Refer to the equation in part a, find the smallest possible

value of x and provide a reason.
________________
c) The price of a pair of jeans is $50. During a sale, the price of

the jeans is discounted by $d.
(i) Write an expression to represent the sale price of the jeans.
_________________
(ii) If you buy three pairs of jeans during the sale, write an
expression to represent the total purchase price in
expanded form (without brackets).
__________________
(iii) Write an expression to represent the total change you

would receive from $200 for the three pairs of jeans
purchased during the sale.
_____________________________
End of Assessment

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Example

Syllabus for comparison:

Wednesday 25 March 2024

 Time Allowed: 45 minutes + 5 minutes reading time.

Student Name: _________________________

Section Mark Total

Number Operations and Index Laws 25

Total (%) 100

2 Simply the following expressions, write in index form. 2

b) Write (−9 )4 as a basic numeral __________________________

5 Evaluate the following leaving your answer in simplest index form. 5

c) 108 ÷ 103=¿ _____________________________

6 Evaluate the following leaving your answer in simplest index form. 8

a) ¿ 24 x 2 y 4 ÷12 x y 3 −xy _______________________

c) At 9 am there were 10 bacteria in a Petri dish.

i. If the number of bacteria doubles every minute, find out

between the number of bacteria, N and the time, t (in minutes)

after 9 am. _______________________

6 Simplify the following: 2

Section 2- Algebra- 21 marks

8 If h=5 and k =4 , the value of the expression 3 h2−2 k is: 1

9 Simplify the following: 4

a) 9 s2 +4 s−5 s2 +7 s=¿ __ ____________________________

10 Expand 3 k (7−h) = _________________________ 1

11 Expand and simplify: 4

a) 7 ( y−1 )+ 9(2+ y ) = ____________________________________

b) 3 d ( 2−4 d )−2 d (5 d +6) = _________________________________

13 Find the highest common factor of 28bc and 12c. 1

13 Factorise the following: 4

c) −25 a3 bc−5 a 2 b 2 d = _____________________

14 a) Write a number sentence for 5 more than the difference 6

b) A farmer’s paddock is a rectangle of length (2x-6) m and

(ii) Refer to the equation in part a, find the smallest possible

c) The price of a pair of jeans is $50. During a sale, the price of

(i) Write an expression to represent the sale price of the jeans.

(iii) Write an expression to represent the total change you

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a) 9 s2 +4 s−5 s2 +7 s=¿ __________________________