Free sample

Year 8 Mathematics sample

Try 5 questions without logging in. The full paper is timed, saved, marked and reported after access is confirmed.

Paper F-4 Practice 4 Sample 5 questions Login Not required

Answer the sample questions

Check your answers when all 5 are complete. Feedback is local to this page and does not create a report.

Question 1 of 5 Number and arithmetic

Culcairn Signs charges a set fee of $55 for each sign it makes, plus $45 for every square metre of the printed face. Broadwater Tennis Club orders two square signs, one with sides of 4 m for the gate and one with sides of 2 m for the shed. What does the club pay altogether?

The two signs ordered
SignLength of each side
Gate sign4 m
Shed sign2 m
Question 2 of 5 Number and arithmetic

The berry cool room at Bilpin reads 4 degrees when the compressor jams. Nobody is on the packing floor, so the room loses 5 degrees every hour for the next 9 hours. A refrigeration mechanic then gets it warming again by 5 degrees every hour for 2 hours. What does the wall gauge read at that point?

What the gauge did
StageChange on the gauge
Moment the compressor jammed4 degrees
Next 9 hoursfell 5 degrees each hour
Then 2 hoursrose 5 degrees each hour
Question 3 of 5 Space and geometry

A survey crew maps the spot where Corop Road and Wooroo Road cross. A farm track leaves the same crossing point. On the far side of the crossing the two roads make an angle of 56 degrees, and the track sits 33 degrees away from Wooroo Road. How many degrees is the angle marked on the plan between the track and Corop Road?

Where three roads meetCorop RoadWooroo Roadfarm track56 deg33 degthis angleNot to scale.Two angles at the crossing are given. The third one is the one to find.
Question 4 of 5 Chance and data

The library at Tumbarumba High recorded how many books each of its Year 8 students borrowed last term. Every student borrowed at least one book. How many students borrowed more books than the number that came up most often?

Books borrowed last term
Books borrowedNumber of students
15
29
33
44
55
66
Question 5 of 5 Algebra and patterns

A working dog kennel sets each dog's daily feed with the rule \(\frac{30m + 120}{2}\) grams, where \(m\) is the dog's mass in kilograms. Banjo is on the chart at 20 kg. How many kilograms of feed does Banjo get across seven days?

Kennel mass chart
DogMass in kilograms
Banjo20
Poppy24
Pip29
Open full paper