1. 2
Point Question1
Point Question
Point Question3
Point Question4
Point Question5
Q Q Q Q QX X X X X
Q Q Q Q QX X X X X
Q Q Q Q QX X X X X
Q Q Q Q QX X X X X
Q Q Q Q QX X X X X
15s
30s
45s
70s
100s
Algebra
Data
Handling
Number
Shape,Space,
Measure
Random
2. 1 Point Question
• Factorise:
12𝑎𝑏2
− 36𝑎𝑏3
X
The question
passes over
to the other
team!
12𝑎𝑏2
(1 − 3𝑏)
3. 1 Point Question
• Adam and Jack play tennis. The probability
that Adam wins is 0.55. They play each other
60 times. How many games should Jack
expect to win?
X
The question
passes over
to the other
team!
27
4. 1 Point Question
• Calculate a 19% decrease of £250.
X
The question
passes over
to the other
team!
£202.50
5. 1 Point Question
• Calculate the area of the following shape:
X
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passes over
to the other
team!
12cm
20cm
5cm 80cm2
6. The question
passes over
to the other
team!
1 Point Question
• Given that x = -3, calculate:
𝑥2
− 5𝑥 + 9
X
33
7. 2 Point Question
• Expand and simplify:
(3𝑥 + 4)(5𝑥 − 7)
X
15𝑥2
− 𝑥 − 28
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passes over
to the other
team!
8. 2 Point
Question
X
The question
passes over
to the other
team!
a) What correlation is
shown?
b) Describe the
relationship
between the English
and maths marks.
9. 2 Point Question
• Sarah decides to invest £4000 in an account
paying 4.5% compound interest per annum.
How much will she have after 5 years?
X
£4984.73
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passes over
to the other
team!
10. 2 Point Question
• Calculate the length of 𝑥. Give your answer
correct to 3 significant figures.
X
22.6cm (3sf)
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passes over
to the other
team!
14cm
17.8cm
𝑥
11. 2 Point Question
• Ben and Max share £120 so that Max gets four
times as much as Ben. Calculate Max’s share.
X
The question
passes over
to the other
team!
£96
12. Solve the equation:
𝑥2
+ 8𝑥 − 48 = 0
3 Point Question
X
𝑥 = 4 𝑜𝑟 𝑥 = −12
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to the other
team!
13. 3 Point Question
• The box plots below show the temperature at noon
over a long period at two different resorts.
X
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passes over
to the other
team!
Compare the
temperature at
the two resorts.
On average, the temperature at resort B is higher since the
median is larger. However, the temperature varies less at
resort A since the IQR and range are smaller.
14. 3 Point Question
X
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passes over
to the other
team!
The distance from London to Bournemouth is 115 miles
to the nearest mile. Give the upper and lower bounds
for this distance.
𝑈𝐵 = 115.5 𝑚𝑖𝑙𝑒𝑠
𝐿𝐵 = 114.5 𝑚𝑖𝑙𝑒𝑠
15. 3 Point Question
• Calculate the value of x.
• Give your answer to 2dp.
X
10.01𝑐𝑚 (2𝑑𝑝)
The question
passes over
to the other
team!
8.4cm
40o
𝑥
16. 3 Point Question
• Calculate the volume of the cylinder below.
Give your answer to 3 significant figures.
X
57.4𝑐𝑚3
(3𝑠𝑓)
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passes over
to the other
team!
3.1cm
1.9cm
17. 4 Point Question
X
The question
passes over
to the other
team!
Make 𝑟 the subject of the formula:
ℎ =
𝑟2
4
+ 3𝑎
𝑟 = 4ℎ − 12𝑎
18. 4 Point Question
• At a teacher conference, 35 teach English, 60
teach Maths and 28 teach Science. A sample
of 25 teachers is needed for a survey on
education policy. How many English teachers
should be part of the sample?
X
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passes over
to the other
team!
7 or 8 (7.1)
19. 4 Point Question
• X is directly proportional to the cube of y. X = 96
when y = 4.
• Calculate the value of y when X = 50. Give your
answer correct to 3 significant figures.
X
The question
passes over
to the other
team!
3.22 (3𝑠𝑓)
20. 4 Point Question
• Calculate the value of x. Give your answer correct
to 2 decimal places.
X
11.12m (2dp)
The question
passes over
to the other
team!
5.9m
𝑥
76o
73o
21. • The distance from London to Bournemouth is 115 miles
to the nearest mile. Harry drives from London to
Bournemouth at an average speed of 55.7mph correct
to 1dp.
• Calculate the upper and lower limits of accuracy, to 2dp,
for the time it took Harry to drive from London to
Bournemouth.
4 Point Question
X
UB = 2.08 hrs LB = 2.05 hrs
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passes over
to the other
team!
22. 5 Point Question
• Solve the following simultaneous equations:
𝑥2
+ 𝑦2
= 64
𝑥 + 𝑦 = 10
X
𝑥 = 2.35, 𝑦 = 7.65
𝑥 = 7.65, 𝑦 = 2.35
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passes over
to the other
team!
23. 5 Point Question
X
The question
passes over
to the other
team!
• Nicola is going to travel from Swindon to London by train. The
probability that the train will be late leaving Swindon is
1
5
. If the
train is late leaving Swindon, the probability that it will arrive
late in London is
7
10
. If the train is not late leaving Swindon, the
probability that it will arrive late in London is
1
10
.
• Calculate the probability that Nicola is late getting to London.
11
50
= 0.22
24. 5 Point Question
• The frequency f of sound, is inversely proportional to w, the
wavelength. A sound with a frequency of 36 hertz has a
wavelength of 20.25 metres.
• Calculate the frequency when the frequency and the
wavelength have the same numerical value.
X
The question
passes over
to the other
team!
27 ℎ𝑒𝑟𝑡𝑧
25. 5 Point Question
• Calculate the value of 𝑥 and 𝑦, giving reasons for
your answers.
X
The question
passes over
to the other
team!
𝑥 = 59 𝑜
𝑎𝑛𝑔𝑙𝑒 𝑎𝑡 𝑐𝑒𝑛𝑡𝑟𝑒 …
𝑦 = 121 𝑜 (𝑐𝑦𝑐𝑙𝑖𝑐 𝑞𝑢𝑎𝑑𝑟𝑖𝑙𝑡𝑎𝑒𝑟𝑎𝑙)
26. 5 Point Question
• By completing the square, solve the equation:
𝑥2
− 16𝑥 + 21 = 0
• Give your answer correct to 2 decimal places.
X
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passes over
to the other
team!
𝑥 = 14.71 𝑜𝑟 𝑥 = 1.29
27. Homework and Revision for PPEs
• In January you will sit a full GCSE Maths paper in exam
conditions. You will do the calculator exam in the hall and
the non-calculator in class in test conditions.
• You will need to bring all your equipment: scientific
calculator, compass, protractor, pencil, pen, ruler, eraser.
• You need to complete and mark Paper 2 June 2013
over the Christmas holidays. Many of you were given
this on Monday. If you were off on Monday put your
hand up so I can bring you one.
28. Revision for PPEs
• In addition to the paper, you should revise the topics that
you most need to work on.
• You could:
• take your past papers home and work through all the
questions you didn’t get marks on.
• Use Mathswatch to work on topics, login details are
gryphonschool (with no space)
ICTusername (for example CMG or 15smithben)
Maths101 (no space and a capital letter M)
• Use http://keshmaths.com/gcse-maths-takeaway-3/
