Mathematics
Stage 8
TERM3,SET2
1:30 hours
Additional materials: Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
•
Answer all questions.
•
Write your answer to each question in the space provided.
•
You should show all your working on the question paper.
•
You are allowed to use a calculator.
INFORMATION
•
The total mark for this paper is 60.
•
The number of marks for each question or part question is shown in brackets [ ].
2026
2
1
Here are some numbers written in standard form.
6.7 × 104
8.1 × 10–5
3.2 × 106
4.8 × 10–2
5.0 × 10–8
Write down the largest and the smallest of these numbers.
Largest =
Smallest =
[2]
2
Naomi buys a mobile phone.
Draw a ring around the most appropriate value for the amount of internal storage on her
mobile phone.
128 nm
128 GB
128 tonnes
128 μl
[1]
3
Here is an equation.
8p × 8q = 82
Find two pairs of values of p and q to make the equation correct.
p=
and q =
p=
and q =
[2]
3
4 (a) Here is a sequence with nth term n2 + 4
5,
8,
13,
20,
29,
…
Find the 12th term of this sequence.
[1]
(b) Here is a different sequence.
7,
10,
15,
22,
31,
…
By comparing this sequence to the sequence in part (a), find an expression for the
nth term of this sequence.
[1]
5
[1]
6
Polygon A and polygon B are both regular.
The table gives information about each polygon.
Polygon
Interior angle
A
120°
°
°
B
(a) Complete the two missing angles in the table.
Exterior angle
[1]
72°
4
7 Line L has the equation 2y = –5x + 6
Draw a ring around the coordinates of the y-intercept of line L.
(0, 6)
(0, 2)
(0, 3)
(0, –5)
[1]
8.
9. The mapping diagram represents the function y = 5x2
Input (x)
Output (y)
2
20
0.5
80
5
Complete the diagram by writing a different number in each box.
[2]
10.
[2]
11. Solve the simultaneous equations.
4x – y = 11
2x + 3y = 2
x=
6
y=
[3]
12. The cost of hiring a taxi is • $2 fixed cost plus
•
•
$𝑥 per km for the first 10 km of a journey plus
$0.50 per km for the next 15 km of a journey.
The graph shows information about these costs.
10
NOT TO
SCALE
Cost ($)
2
0
10
25
0
Distance (km)
(a) Find the rate, $𝑥 per km, for the first 10 km of a journey.
Use the graph to help you.
x=
(b) Find the total cost for a journey of 25 km.
Use the graph to help you
[1]
7
13.
b,
2
14.
8
15.
[2]
b,
9
16.
b,
10
17.
18.
19.
11
20.
[2]
12
21.
b,
[1]
13
22.
b,
23.
14
b,
c,
24.
15
success