Calculator Paper Quiz

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

Alg

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Dat

a H

and

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Nu

mb

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Shap

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Mea

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Ran

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1 Point Question

• Factorise:

12𝑎𝑏2 − 36𝑎𝑏3

XThe question passes over to the other

team!

12𝑎𝑏2(1 − 3𝑏)

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 Jackexpect to win?


team!

27

1 Point Question

• Calculate a 19% decrease of £250.


team!

£202.50

1 Point Question

• Calculate the area of the following shape:


team!

12cm

20cm

5cm 80cm2

The question passes over to the other

team!

1 Point Question

• Given that x = -3, calculate:

𝑥2 − 5𝑥 + 9

X

33

2 Point Question

• Expand and simplify:

(3𝑥 + 4)(5𝑥 − 7)

X15𝑥2 − 𝑥 − 28


team!

2 Point Question


team!

a) What correlation is shown?

b) Describe the relationship between the English and maths marks.

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


team!

2 Point Question

• Calculate the length of 𝑥. Give your answer correct to 3 significant figures.

X

22.6cm (3sf)


team!

14cm

17.8cm

𝑥

2 Point Question

• Ben and Max share £120 so that Max gets four times as much as Ben. Calculate Max’s share.


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£96

Solve the equation:

𝑥2 + 8𝑥 − 48 = 0

3 Point Question

X

𝑥 = 4 𝑜𝑟 𝑥 = −12


team!

3 Point Question• The box plots below show the temperature at noon

over a long period at two different resorts.


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.

3 Point Question


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 𝑚𝑖𝑙𝑒𝑠𝐿𝐵 = 114.5 𝑚𝑖𝑙𝑒𝑠

3 Point Question

• Calculate the value of x.

• Give your answer to 2dp.

X

10.01𝑐𝑚 (2𝑑𝑝)


team!

8.4cm

40o

𝑥

3 Point Question

• Calculate the volume of the cylinder below. Give your answer to 3 significant figures.

X

57.4𝑐𝑚3 (3𝑠𝑓)


team!

3.1cm

1.9cm

4 Point Question


team!

Make 𝑟 the subject of the formula:

ℎ =𝑟2

4+ 3𝑎

𝑟 = 4ℎ − 12𝑎

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?


team!

7 or 8 (7.1)

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.


team!

3.22 (3𝑠𝑓)

4 Point Question

• Calculate the value of x. Give your answer correct to 2 decimal places.

X

11.12m (2dp)


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5.9m𝑥

76o

73o

• 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

XUB = 2.08 hrs LB = 2.05 hrs


team!

5 Point Question

• Solve the following simultaneous equations:

𝑥2 + 𝑦2 = 64𝑥 + 𝑦 = 10

X

𝑥 = 2.35, 𝑦 = 7.65𝑥 = 7.65, 𝑦 = 2.35


team!

5 Point Question


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

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.


team!

27 ℎ𝑒𝑟𝑡𝑧

5 Point Question• Calculate the value of 𝑥 and 𝑦, giving reasons for

your answers.


team!

𝑥 = 59𝑜 𝑎𝑛𝑔𝑙𝑒 𝑎𝑡 𝑐𝑒𝑛𝑡𝑟𝑒 …

𝑦 = 121𝑜 (𝑐𝑦𝑐𝑙𝑖𝑐 𝑞𝑢𝑎𝑑𝑟𝑖𝑙𝑡𝑎𝑒𝑟𝑎𝑙)

5 Point Question

• By completing the square, solve the equation:

𝑥2 − 16𝑥 + 21 = 0

• Give your answer correct to 2 decimal places.


team!

𝑥 = 14.71 𝑜𝑟 𝑥 = 1.29

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.

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/

Calculator Paper Quiz

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