The maths department are making booklets for you to

complete at home.

e!

North Gosforth AcademyMathematics Home Booklet

Year 7 Foundation

20th April to 1st May

The topics covered are below. You have already covered these in yourmaths lessons and being at home gives you a chance to revis yourself a useful revision resource and practise key skills!

Instructions:

! Create

There are plenty of examples – write these down. Write down any useful facts.

Complete questions to practise the skills and stretch questions to push yourself. Show working out!

Old maths books and revision guides are useful sources of information if you have them

Any access to the internet, even limited, gives you access to Hegarty maths, Corbett maths and Mathsgenie where tutorial videos are available

Topics in this booklet:

Fraction, Decimal and Percentages conversion Worded probability Calculating simple probability Challenge probability questions

BRONZEF D P12

0.5 50%

3 4

0.25

70%

3 5

0.1

90%

3 10

0.2

40%

4 5

0.13

27%

39 100

0.11

SILVERF D P1350

0.26

26%

6 25

0.94

35%

1320

0.55

85%

7 20

0.48

62%

9 50

0.68

46%

1125

0.22

GOLD

1) Miss Smith scored 23/50 marks on a test. Miss Miller scored 45.5%. Who scored higher on the test?

2) Company A offers 0.2 of profits as a bonus. Company B offers 19% as a bonus.Company C offers 6/25ths of profit as a bonus.Which company offers the biggest bonus?

3) Order the following in ascending order:

0.61, 58%, 0.575, 3/5

4) Order the following in ascending order:

0.485, 12/25, 0.482, 49%

Well done!

Converting between Fractions, Decimals and Percentages

Likely, chance, certain, equal uncertain, probable, possible, impossible, good chance, poor chance, no chance, chance, even chance, evens, fifty- fifty, likelihood, probability, possibility

What is the chance of winning the national lottery? How do they work this out? Would it change if we had more or less numbers.

a) We describe the chance of something happening with the words: Impossible–unlikely–evens–likely-certain. b)We show our results on a probability line:

Impossible evens certain

1) Write out the definition of the word probability.2) Order the definitions into a list starting with the least likely to happen. Do any mean the same chance?3) Choose from the words impossible, unlikely, evens, likely or certain to describe the chance of the following happening:a) Your teacher will visit the moon tonight.b) I will get a head when I throw a fair coin.c) December will follow November this year.d) Swansea would _ _ _ _ _ beat Pontycymmer in

football.e) I will have homework at least once next week.4) Can you write one probability sentence for each of the words certain, impossible, likely, unlikely, certain.

Sally says that if only two people are in a raffle they both have the same chance to win?Liam thinks she is incorrect but does not know how to explain this to her.Can you help Liam. You must explain in complete sentences using both the key words and your mathematical understanding of chance. Some examples would help to convince Sally.

a

SkillIf there are several balls in a bag, 4 blue, 5 green, 7 yellow and 9 pink.What is the probability of aPink?Blue?Yellow?Green?

What is the probability of not getting aNot a pink?Not a blue?Not a yellow?Not a green?

StretchI role two dice at thesame time.

What is the probability of the dice addingup to 7?

What is the probability of the total on thedice being more than 6

What is the probability the total of thetwo dice is less than 1?

Probability of an event.

LiteracyCan you write events insentence for each of thefollowing words.

Research CardsWhat is the total number of cards in

a deck? How many suits are in a deck? Identify the names of the

suits. How many picture cards, (face

MemoryRemember mathematicians write theprobability of an event as. (The event

being what you want to happen)

Impossible, unlikely, evens, likely and certain.

cards) are their in a suit? What values can an ace stand for?

𝑃 𝑒𝑣𝑒𝑛𝑡=

D…esired outcome Total outcomes

At random means ………………………………………………………….certain means ………………………………………………………unlikely means …………………………………………………………..

Choose a word from this list to describe each of these events. Words could be used more than once.Impossible…..unlikely…..even chance…..likelycertain

ProbabilityVideos 244, 245, 250 on Corbettmaths

Examples

Workout

Question 1: Theo has 3 red sweets and 2 white sweets.He picks a sweet at random.

(a) Write down the probability that Theo picks a red sweet.

(b) Write down the probability that Theo picks a white sweet.

Question 2: Leah has 12 cards, each with a shape on it.She takes a card at random.

(a) What is the probability that Leah takes a card with a star on it?

(b) What is the probability that Leah takes a card with a triangle on it?

(c) What is the probability that Leah takes a card with a circle on it?

Question 3: Ralph has 9 cards, each with a number on it.

He picks a card at random.Write down the probability that the chosen card is

(a) the number 8 (b) an even number (c) a number less than 7

(d) a multiple of 4 (e) a square number (f) a prime number

Question 4: There are 12 red roses, 5 yellow roses and 3 white roses in a vase.Felix takes a rose, at random, from the vase.

(a) Write down the probability that he takes a white rose.(b) Write down the probability that he takes a red or a white rose.(c) Write down the probability that Felix takes a rose that is not red.

© CORBETTMATHS 2018