This document contains a series of 21 math questions with explanations and worked examples. The questions cover topics like time, distance, rate, money, graphs, conversions between units, straight line graphs, and coordinate geometry. For each question, the number of marks available is provided. This appears to be a practice exam or set of worksheet problems for a math course.

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Countdown to your final Maths exam …
Part 7 (2017)
Marks Actual
Q1. Distance / Time 8
Q2. Distance / Time 4
Q3. Distance / Time 2
Q4. Distance / Time 4
Q5. Money Problem 6
Q6. Money Problem 4
Q7. Money Problem 5
Q8. Conversion graphs 6
Q9. Conversion graphs 6
Q10. Conversion graphs 4
Q11. Conversion graphs 4
Q12. Conversion graphs 2
Q13. Conversion graphs 3
Q14. Money Problem 3
Q15. Money Problem 4
Q16. Money Problem 3
Q17. Straight Line graphs 3
Q18. Straight Line graphs 7
Q19. Straight Line graphs 4
Q20. Straight Line graphs 4
Q21. Reasoning with coordinates 3
89

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Q1. Sarah goes to the gym on her way to work.
The table shows what she wants to do before arriving at work.
Activity Time (mins)
Drive from home to gym 10
Exercise at gym 45
Shower and change 20
Drive from gym to work 25
She has to arrive at work at 08 50
(a) What is the latest time she can leave home?
. . . . . . . . . . . . . . . . . . . . . . (3)
Each Saturday, Sarah cycles from her house to the gym.
The travel graph shows Sarah's journey to the gym.
(b) What time does she leave home?
. . . . . . . . . . . . . . . . . . . . . (1)
(c) How far is the gym from Sarah's house?
. . . . . . . . . . . . . . . . . . . . . . km (1)
Sarah stays at the gym for 1½ hours.
She then cycles back to her house at 18 km/h.
(d) Complete the travel graph.
(3)
(Total for Question is 8 marks)

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Q2. Simon went for a cycle
ride. He left home at 2 pm.
The travel graph represents
part of Simon's cycle ride.
At 3 pm Simon stopped for
a rest.
(a) How many minutes did
he rest?
(1)
(b) How far was Simon from
home at 5 pm?
(1)
At 5 pm Simon stopped for 30 minutes.
Then he cycled home at a steady speed.
It took him 1 hour 30 minutes to get home.
(c) Complete the travel graph.
(2)
(Total for Question is 4 marks)
Q3. Anna drives 45
miles from her
home to a meeting.
Here is the travel
graph for Anna's
journey to the
meeting.
Anna's meeting
lasts for 1 hour.
She then drives
home at a steady
speed of 30 miles
per hour with no
stops.
Complete the travel
graph to show this
information.
(Total for Question is 2 marks)

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Q4. Lisa cycles to work. The
travel graph shows information
about her journey to work on
Tuesday.
Martin also cycles to work.
On Tuesday his average speed
was 16 km per hour.
Who has the greater average
speed, Lisa or Martin?
You must show all your
working.
(Total for Question is 4 marks)
Q5. Oliver orders some items from an electrical store. Here is his bill.
(a) Complete the bill.
(3)
At the beginning of October, Oliver has £452.25 in his bank account.
During October, Oliver
puts £120 into his bank account
has £2.56 interest added to his bank account
spends £64.83 from his bank account.
(b) How much money is in Oliver's bank account at the end of October?
£ ........................................................... (3)
(Total for question = 6 marks)

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Q6. The table shows information about the cost of hiring a cement mixer from two companies.
Chris wants to hire a cement mixer for 5 days.
He will hire the cement mixer from either Quick Mix or Speedy Hire.
Chris wants to pay the least amount of money.
Which company should he choose?
You must show all your working.
(Total for Question is 4 marks)
Q7. Jamie and Lily are at college.
They want to buy some lockers for their common room.
They decide to do a sponsored walk to raise the money to buy the lockers.
Some people will give them money for each mile they walk.
Some people will give them a fixed amount of money.
Here are Jamie's and Lily's sponsor forms.
Jamie and Lily each walk 18 miles.
The lockers cost £108
Do Jamie and Lily get enough money to buy the lockers?
You must show your working.
(Total for Question is 5 marks)

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Q8. You can use this conversion graph to change between miles and kilometres.
(a) Change 40 km into miles.
...........................................................miles (1)
(b) Change 35 miles into km.
...........................................................km (1)
Mary has to drive from Paris to Calais, and then from Dover to Sheffield.
The total distance she has to drive is 350 miles.
Mary has already driven 240 km from Paris to the ferry at Calais.
She goes on a ferry to Dover.
She now has to drive from Dover to Sheffield.
Mary has enough petrol to drive 180 miles.
(c) Will Mary have to stop for petrol on the way to Sheffield?
(4)
(Total for Question is 6 marks)

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Q9. The exchange rate for pounds (£) to euros (€) is £1 = €1.20
(a) Complete the table of values.
(b)
£ 0 1 5 10 15 20 25 30
€ 1.20 6 24 30
(2)
(b) On the grid, draw a conversion graph for pounds (£) to euros (€).
Louise changes £250 into euros.
(c) Work out how many euros Louise should get.
. . . . . . . . . . . . . . . . . . . . . . euros
(2)
(Total for Question is 6 marks)

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Q10. You can use this graph to change between pounds and kilograms.
(a) Change 13 pounds to kilograms.
........................................................... kilograms
(1)
A trolley can carry a maximum weight of 200 pounds.
Jack has 4 bags of potatoes.
Each bag of potatoes weighs 25 kilograms.
(b) Can the trolley carry the 4 bags of potatoes at the same time?
You must show your working.
(3)
(Total for question = 4 marks)

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Q11. You can use this conversion graph to change between temperatures in degrees Celsius (°C) and
temperatures in degrees Fahrenheit (°F).
The temperature inside a refrigerator needs to be 40°F.
(a) Use the conversion graph to change a temperature of 40°F into a temperature in °C.
........................................................... °C
(1)
The temperature in a freezer needs to be 0°F.
The temperature in Dave's freezer is –10°C.
(b) Compare the temperature in Dave's freezer with 0°F.
You must show your working.
(3)
(Total for question = 4 marks)

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Q12. You can use this graph
to change between litres and
gallons.
Which is the greater, 60 litres
or 12 gallons?
You must show how you get
your answer.
...........................................................
(Total for question = 2 marks)
Q13. Here is a graph you can use to
change between metres and feet.
An American space rocket is 360
feet tall.
A European space rocket is 50
metres tall.
The American space rocket is taller
than the European space rocket.
How much taller?
You must show your working.
..........................................................
(Total for question = 3 marks)

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Q14. Jill buys a toy, a doll and a
game at a school fair. She then sells
all three items.
The table gives some information
about these items.
Complete the table.
(Total for question = 3 marks)
Q15. Here is a bill for a dishwasher repair. Complete the bill.
(Total for Question is 4 marks)
Q16. Complete this bill.
(Total for Question is 3 marks)

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Q17.On the grid, draw the graph of y = ½ x + 5 for values of x from –2 to 4
(Total for Question is 3 marks)
Q18.
(a) Complete the table of values for y = ½ x + 4
x –2 –1 0 1 2
y 3 4
(2)

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(b) On the grid, draw the graph of y = ½ x + 4
(2)
(c) (i) On the grid, draw the line that is perpendicular to y = ½ x + 4 and passes through the point
with coordinates (0, 4).
(ii) Find the equation of this line.
. . . . . . . . . . . . . . . . . . . . . . (3)
(Total for Question is 7 marks)
Q19.
(a) On the grid above, draw the line x = 3
(1)

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(b) On this grid, draw the line y = x
(1)
(c) Find the gradient of the straight line drawn on this grid.
(2)
(Total for Question is 4 marks)

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Q20.
On the grid, draw the graph of
y = 2x − 3 for values of x from −2
to 3
(Total for Question is 4 marks)
Q21.
In the diagram,
the points A, B and C lie on the straight line y = 2x – 1
The coordinates of A are (2, 3).
The coordinates of B are (5, 9).
Given that AC = 3AB, find the coordinates of C.
(Total for Question is 3 marks)