DISTANCE TIME GRAPHS, Study notes of Mathematics

Download DISTANCE TIME GRAPHS and more Study notes Mathematics in PDF only on Docsity! Edexcel GCSE Mathematics (Linear) – 1MA0 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 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) 5. Judy drove from her home to the airport. She waited at the airport. Then she drove home. Here is the distance-time graph for Judy’s complete journey. (a) What is the distance from Judy’s home to the airport? ........................ km (1) (b) For how many minutes did Judy wait at the airport? ......................... minutes (1) (c) Work out Judy’s average speed on her journey home from the airport. Give your answer in kilometres per hour. ...................... kilometres per hour (2) (Total 4 marks) 1400 1430 1500 1530 1600 1630 Time of day 50 40 30 20 10 0 Distance from home (km) 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 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 D is ta n ce f ro m S iâ n ’s h o u se ( k m ) Time 11 3011 0010 3010 0009 3009 00 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 7pm6pm5pm4pm3pm2pm1pm 11. Here are six temperature/time graphs. Each sentence in the table describes one of the graphs. Write the letter of the correct graph next to each sentence. The first one has been done for you. The temperature starts at 0°C and keeps rising. B The temperature stays the same for a time and then falls. The temperature rises and then falls quickly. The temperature is always the same. The temperature rises, stays the same for a time and then falls. The temperature rises, stays the same for a time and then rises again. (Total 3 marks) O time temperature °C temperature °C temperature °C temperature °C temperature °C temperature °C O time A B O time O time C D O time O time E F