Question
(a) This graph shows Gianna’s journey to work.
(i) How far did Gianna travel to work?
…………………………………… km
(ii) Explain what happened at 0710.
(iii) Calculate the average speed for Gianna’s journey to work.
………………………………… km/h
(b) Gianna earns $1320 each month.
She divides her money in the ratio Bills : Leisure : Other = 12 : 5 : 7.
Work out how much she spends on each.
Bills = $ …………………………………………
Leisure = $ …………………………………………
Other = $ …………………………………………
(c) Gianna invests $5000 for 3 years at a rate of 2.1% per year compound interest.
Calculate the amount she will have at the end of the 3 years.
Give your answer correct to 2 decimal places.
$ …………………………………………
Answer/Explanation
Answer:
(a) (i) 17.5
(ii) She stopped oe
(iii) 8.75
(b) 660
275
385
(c) 5321.66 cao
Question
Abjit cycles from his home to the swimming pool.
The travel graph for his journey is drawn on the grid.
On his journey he passes the cinema and the shop.
(a) Write down where Abjit stops on his journey to the swimming pool.
(b) Abjit is cycling fastest between the shop and the swimming pool.
Explain how you know this from looking at the graph.
(c) Abjit cycles at 20km/h from his home to the cinema.
This part of the journey takes 12 minutes.
(i) Show that the distance from Abjit’s home to the cinema is 4km.
(ii) Complete the scale on the vertical axis of the grid by showing at least two other values.
(d) Calculate the speed, in km/h, that Abjit cycles from the cinema to the shop.
………………………………….. km/h
(e) When Abjit arrives at the swimming pool it is closed.
Without stopping at the swimming pool he cycles home at a constant speed.
It takes him 24 minutes to cycle home.
Complete the travel graph for his journey home.
(f) Calculate the average speed, in km/h, for the whole journey.
………………………………….. km/h
(g) Abjit’s bicycle wheel has a radius of 29cm.
(i) Calculate the circumference of the wheel.
Give your answer correct to 1 decimal place.
…………………………………….. cm
(ii) Calculate the number of complete turns the wheel makes when travelling 500m.
Answer/Explanation
Ans:
(a) shop
(b) [graph] steepest oe
(c) (i) \(0.2 \times 20\) or \(12 \times \frac{1}{3}\) oe
(ii) distance axis numbered correctly
with at least 2 more numbers
(d) 12
(e) ruled line from (1034, 8) to
(1058, 0)
(f) 16.6 or 16.55…
(g) (i) 182.2
(ii) 274
Question
A train departs from Green Hill, stops at Deep Valley for 5 minutes and then goes on to Clear Lake.
The train timetable shows the times.
(a) (i) Complete this statement.
The journey from Green Hill to Deep Valley takes ……………………….minutes.
(ii) Write your answer to part (a)(i) as a fraction of an hour.
(b) The train travels the 18km between Green Hill and Deep Valley at a constant speed.
Calculate the speed, in km/h, for the train on this part of the journey.
……………….. km/h
(c) The train travels at a constant speed of 85km/h between Deep Valley and Clear Lake.
Work out the distance between Deep Valley and Clear Lake.
……………………. km
(d) Work out the total distance between Green Hill and Clear Lake.
……………………….. km
(e) Complete the travel graph to show the whole journey from Green Hill to Clear Lake.
Answer/Explanation
Answer:
(a) (i) 15
(ii) \(\frac{1}{4}\) oe
(b) 72
(c) 34
(d) 52
(e) ruled line from (1030, 0)to (1045, 18)
ruled line from (1045, 18) to (1050, 18)
ruled line from (1050, 18) to (1114, 52)