Download DISTANCE TIME GRAPHS and more Study notes Mathematics in PDF only on Docsity!
Edexcel GCSE
Mathematics (Linear) – 1MA
DISTANCE TIME
GRAPHS
Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used.
Instructions
Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number. Answer all questions. Answer the questions in the spaces provided – there may be more space than you need. Calculators may be used.
Information
The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Questions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed – you should take particular care on these questions with your spelling, punctuation and grammar, as well as the clarity of expression.
Advice
Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end.
1. Here is part of a travel graph of Siân’s journey from her house to the shops and back.
(a) Work out Siân’s speed for the first 30 minutes of her journey. Give your answer in km/h.
............................. km/h (2)
Siân spends 15 minutes at the shops. She then travels back to her house at 60 km/h.
(b) Complete the travel graph. (2) (Total 4 marks)
20
18
16
14
12
10
8
6
4
2
5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 Time in minutes
Distance in km from Si n’s house
â
3. A man left home at 12 noon to go for a cycle ride. The travel graph represents part of the man’s journey.
At 12.45pm the man stopped for a rest.
(a) For how many minutes did he rest?
……………minutes (1)
(b) Find his distance from home at 1.30pm.
………………….km (1)
The man stopped for another rest at 2pm.
He rested for one hour.
Then he cycled home at a steady speed. It took him 2 hours.
(c) Complete the travel graph. (2)
4. Margaret went on a cycle ride. The travel graph shows Margaret’s distance from home on this cycle ride.
(a) How far had Margaret cycled after 30 minutes?
................................... km (1)
After 60 minutes, Margaret stopped for a rest.
(b) For how many minutes did she rest?
........................... minutes (1)
(c) How far did Margaret cycle in total on her ride?
................................... km (1) (Total 3 marks)
6. Jamie travelled 20 km from his home to his friend’s house. Jamie then spent some time at his friend’s house before returning home. Here is the travel graph for part of Jamie’s journey.
(a) Write down the time that Jamie left home.
………………... (1)
(b) Write down Jamie’s distance from home at 10 20
.............................. km (1)
Jamie left his friend’s house at 11 10 to return home.
(c) Work out the time in minutes Jamie spent at his friend’s house.
...................... minutes (1)
Jamie returned home at a steady speed. He arrived home at 11 50
(d) Complete the travel graph. (1)
10 00 10 20 10 40 11 00 11 20 11 40 12 00
(e) Work out Jamie’s average speed on his journey from his home to his friend’s house. Give your answer in kilometres per hour.
......................... kilometres per hour (2) (Total 6 marks)
7. James left home at 10 00 am. He walked to the swimming pool. On the way to the swimming pool he stopped to talk to a friend.
Here is the distance-time graph for his complete journey.
(a) For how many minutes did James stop and talk to his friend?
…………………………… minutes (1)
(b) What is the distance from James’ home to the swimming pool?
…………………………… km (1) (Total 2 marks)
5 4 3 2 1 0
10 00 11 00 12 00 Time
Distance in km from James’ home
9. Here is a travel graph of Siân’s journey from her house to the library and back to her house.
(a) How far is Siân from her house at 09 30?
...................... km (1)
The library is 20 km from Siân’s house.
(b) (i) At what time did Siân arrive at the library?
......................
(ii) How long did Siân spend at the library?
...................... minutes (2)
Siân left the library at 10 30 to travel back to her house.
(c) At what time did Siân arrive back at her house?
...................... (1)
0
2
4
6
8
10
12
14
16
18
20
Distance from Siân
’s house (km)
Time
09 00 09 30 10 00 10 30 11 00 11 30
10. Pete visited his friend and then returned home. The travel graph shows some information about Pete’s journey.
(a) Write down the time that Pete started his journey.
.................................. (1)
At 2.30 pm Pete stopped for a rest.
(b) (i) Find his distance from home when he stopped for this rest.
....................... km
(ii) How many minutes was this rest?
....................... minutes (2)
Pete stayed with his friend for one hour. He then returned home.
(c) Work out the total distance travelled by Pete on this journey.
....................... km (2) (Total 5 marks)
Distance from home in km
0
2
4
6
8
10
12
14
16
18
Time of day
1pm 2pm 3pm 4pm 5pm 6pm 7pm
