Lesson:Leve1 1 Test Revision Topics
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Lesduur is: 120 minOnderdelen in deze les
As you come in and get settled follow these instructions
Find a seat
Go to Google and type in
lessonup student
student
code is on screen
Click this link to get to Quizziz
Type in
the code
Use your full name when asked
Answer the questions
Use a calculator
Test Revision
Learning Outcomes
Learn about some common exam questions
Solve exam style questions
£4.50 + £3.25 =
30
second
50% of 80
30
second
25% of 60
30
second
10% of 90
30
second
¾ of 20 =
30
second
6 x 7
30
second
84 ÷ 7 =
30
second
1.5 + 2.3
30
second
Money and percentage questions are:
✔ Guaranteed to appear in your exam
✔ Based on real life
✔ Worth multiple marks
✔ Fixable with practice
Topic 1: Money and Percentages
“If you get good at money and percentages, you’ve already secured a big chunk of your exam.”
Know the following for the exam:
25% = 1/4
50% = 1/2
75% = 3/4
10% = 1/10
Topic 1: Money and Percentages
Also calculator method as you have calculator in exam
Amount ÷ 100 x the percentage
Example Questions
A TV costing £400 is reduced by 25%.
What is the new cost
Topic 1: Money and Percentages
Working Out
Example Questions
Vat at 20% is added to a phone costing £600 . How much does the phone cost now?
Working Out
A jacket costs £80. It is reduced by 10%.
→ How much is the discount?
A phone costs £150. VAT is 20%.
→ How much is the total cost?
A pair of trainers costs £60.
They are reduced by 30% What is the sale price?
👉 What is the sale price?
A shopworker earns £160 per week
They get a 15% pay rise, how much do they earn now.
👉 What is the sale price?
Each year the number of people joining a gym increases by 10%.
You expect the number joining this year will increase by the same percentage. Last year 240 people joined the gym
How many do you expect to join this year.
A family of 2 adults and 3 kids, aged 7, 9 and 11 want to sit in rows D-H. How much would they have to pay in total for their tickets if they buy them individually?
Very common in the exam. You will almost always see:
Mean (most common)
Median or mode questions
Range questions
👉 These are easy marks if you know how to do them
Topic 2: Averages and Range
“If you get good at averages and range, you have secured around 20% of the total exam marks.”
Know these
Mean(Average) - add up all the numbers and divide by how many you have
Mode- the number that happens the most often
Median-put your numbers in order and find the middle
Remember:If there are 2 middle numbers, find the average of them
Range- difference between the highest and lowest value
Topic 2: Averages nad Range
Example
Find the mean, median, mode and range of these numbers.
7, 4, 9, 3, 7, 12, 1
Topic 2: Averages and Range
Find the mean of:
6, 8, 10, 12
A student scores these marks:
45, 55, 60, 50
What is the mean score?
A worker earns £80, £95, £100, £85 over 4 days
What is the average daily pay?
Find the median of:
4, 6, 8, 10
Find the median of:
3, 7, 9, 11, 15
Find the median of:
12, 7, 14, 9, 5
Find the mode of:
2, 4, 4, 6, 8
Find the mode of:
10, 12, 10, 15, 12, 10
A shop sells these items in a day:
5, 7, 5, 6, 5, 8
What is the mode?
Find the range:
5, 9, 12, 20
Find the range:
35, 45, 20, 0, 18
Temperatures in a week:
12°C, 15°C, 10°C, 18°C, 14°C
What is the range?
Work out the mean cold drink sales for the last four Saturdays.
Work out the range in cold drink sales for the last four Saturdays.
Core Rule
Topic 3: Probability
A toy box has:
4 cars
2 dolls
What is the probability a child picks a car?
Snack time:
3 apples
1 banana
Probability a child picks a banana?
Working Out
Probability questions appear in most papers, often as:
Short questions
1–3 mark questionsThis means:
They are quick wins
You can boost your score easily
Topic 3: Probability
“Probability questions are some of the easiest marks on the paper—if you know the rule, you can get them right.”
A box has 5 crayons and 5 pencils
→ Probability of picking a crayon? Write your answer as a fraction in its simplest form
There are 2 bikes and 3 scooter outside
→ Probability a child chooses a bike? Write your answer as a fraction in its simplest form
A bag has 1 red counter and 4 blue counters
→ Probability a child picks a red counter?
A bag has 1 red counter and 4 blue counters
→ Probability a child picks a red counter?
Example
A snack tray has:
4 apples
1 banana
👉 What is the probability a child chooses a banana?
Circle the correct answer
Impossible, unlikely 50/50, likely, certain
Topic 3: Probability
Working Out
There are:
2 bikes
6 scooters
What is the probability a child chooses a bike? Type in one of the answers
impossible, unlikely, 50/50, likely, certain
There are 4 Princess dresses and 4 Super hero costumes
What is the probability of picking a Princess dress? Type in one of the answers.
impossible, unlikely, 50/50, likely, certain
A fruit bowl has 2 bananas, 3 apples, 3 oranges
What is the probability of picking an apple? Type in one of the answers
impossible, unlikely, 50/50, likely, certain
12 gift bags are sold in a raffle, some gift bags have prizes, some don’t. What is the probability of winning a gift bag. Is it, impossible, unlikely, 50.50, likely or ceratin
Ratio shows how things are mixed or shared
Topic 4: Ratio
Key Idea
If a recipe says:
👉 4 parts juice : 1 part water
That means:
For every 1 water → you need 4 juice
Working Out
Topic 4: Ratio
Example:
A nursery drink uses
1 juice : 4 water
You use 3 parts juice. How water will you use.
Working Out
Topic 4: Ratio
Example 2:
A mixture uses a ratio of:
3 parts blue paint : 2 parts yellow paint
You use 4 cups of yellow paint.
👉 How much blue paint is needed?.
A snack mix uses a ratio of:
5 parts cereal : 1 part chocolate
You use 2 cups of chocolate.
👉 How much cereal is needed?
A play sand mix uses
6 parts sand : 2 parts water
You have 8 buckets of water
👉 How many buckets of sand are needed?
A drink is made in the ratio:
3 parts juice : 2 parts water
You use 10 cups of water.
👉 How much juice is needed?
A garden website says you should lay paving slabs on a mix of sand and cement. It says
To make the mix, add six parts of sand to one part of cement
How much sand do you need to add to three shovels of cement?
A garden website says you should lay paving slabs on a mix of sand and cement. It says
To make the mix, add six parts of sand to one part of cement
How much sand do you need to add to three shovels of cement?
Sharing in a ratio means:
👉 You split a total amount based on parts
Topic 5: Sharing in A Ratio
Key Idea
If the ratio is:
👉 2 : 1
That means:
Total parts = 3 parts
Example
Share £30 in the ratio 2 : 1
Step 1: Add parts
Step 2: Find 1 part
Step 3: Multiply
Topic 5: Sharing in A Ratio
Working Out
Humpty Dumpty had a great fall, and the King gave him sweets to cheer him up.
The sweets are shared between Humpty Dumpty and the King’s Men in the ratio 2 : 3
👉 How many sweets does Humpty Dumpty get from 30 sweets?
Jack and Jill went up the hill, but Jack fell and made a claim for compensation.
The money is shared between Jack and Jill in the ratio 3 : 1
👉 How much does Jack get from £40?
Little Miss Muffet was frightened by a spider and was given money for her trouble.
The money is shared between Miss Muffet and the spider in the ratio 1 : 2
👉 How much does Miss Muffet get from £18?
Mary and her little lamb went to school. The teacher gave out stickers as a reward.
The stickers are shared between Mary and the lamb in the ratio 3 : 1
👉 How many stickers does Mary get from 20 stickers?
Humpty Dumpty was put back together and rewarded with £72, shared between Humpty Dumpty and the King in the ratio 5 : 3
👉 How much does the King get?
A coach monitors the performance of two types of athletes during practice sessions. She reviews the sessions in the ratio of 2 sprinters to 3 long-distance runners (2:3).
In one month, the coach reviews a total of 250 practice sessions. How many of the sessions belong to sprinters?
You need to get tickets printed for a Christmas Party. You will have 600 tickets printed. The organisers tell you to print tickets in the ratio 3 adult to 1 child (3:1). How many adult tickets will you print
CLICK HOW YOU FEEL ABOUT TODAY'S LESSON
A builder is building 240 houses. 25% of them will be starter homes. The rest will be family and luxury homes in the ratio 3:2. How many of each type of home will there be.
Answer
Calvin and Jenny are planning a holiday. Flights cost £1200. Calvin’s mum paid 30% of the flights cost. Calvin and Jenny split the remaining flight cost in the ratio 3:4. How much does Jenny pay?
A formula is just a maths recipe for you to follow in order to find an answer.
In order to complete a formula we have to use substitution
Substitution is just replacing words or letters with numbers
What is Formula
A tile fitter uses the formula
Cost = £20 x number of hours to work out the cost of a job.
If a job takes 8 hours, how much did he charge.
A tile fitter uses the formula
Cost = £20 x number of hours to work out the cost of a job.
If a job takes 8 hours, how much did he charge.
Answer and Method
The formula for cooking a chicken is
Cooking Time = 20 minutes per kilogram plus 30 minutes
How long does a 1.5 kg chicken take to cook?
The formula for cooking a chicken is
Cooking Time = 20 minutes per kilogram plus 30 minutes
How long does a 1.5 kg chicken take to cook? .
Answer and Method
The cost for hiring a carpet cleaner is
The cost for hiring a carpet cleaner is
£30 plus £3 a day
How much will it cost to hire for a week.
The cost for hiring a carpet cleaner is
£30 plus £3 a day
How much will it cost to hire for a week.
Answer and Method
The cost for hiring a car is found using the formula
£30 plus an extra £30 for each day.
How much does it cost to hire a car for 3 days.
The cost for hiring a car is found using the formula
£30 plus an extra £30 for each day.
How much does it cost to hire a car for 3 days..
Answer and Method
LET 'S DO SOME MATHS
Codebreaker time
The cost for hiring a formal suit is given by the formula
Cost equals £15 plus 11 times the number of days the suit was hired for.
How much would it cost to hire the suit for 4 days?
£104
£71
£59
£68
The time it takes to cook a turkey is given by this formula.
Time = 20 minutes for each kilogram plus an extra 70 minutes
How long will it take to cook a 2kg turkey?
180 minutes
110 minutes
160 minutes
130 minutes
The cost of hiring a bicycle is given by the formula
Cost equals £4 per day plus £11.
How long would it cost to hire a bicycle for five days?
£31
£60
£49
£20
Mrs Cook is preparing the food for a party.
She uses this formula to work out how many sausage rolls to prepare 3 sausage rolls per guest plus an extra 20
How many sausage rolls should she prepare if there are 42 guests
65
144
186
146
The cost of making a book can be found using this formula
Cost = number of pages × 5p + 45p for the cover
How much would a book with 70 pages cost
£3500
£3.95
£395
£35
WELL DONE. YOU OTTER BE PROUD OF YOURSELF
Could you guys jump on your class notebook on Teams and under class notes open the page called formula in words.
Complete the questions and boomcard included.
Any help needed just ask
If n = 8
What is n + 5 equal to.
If n = 8.
What does n + 5 equal
Answer and Method
If n = 8
What is n - 2.
If n = 8.
What does n - 2 equal
Answer and Method
If m = 6
What is 3m equal.
If m = 6
What does 3m equal
Answer and Method
If b = 4
What is b2 equal.
If b = 4
What is b2 equal to
Answer and Method
If b = 5
What does 3(d + 4) equal
If b = 5
What does 3(d + 4) equal
Answer and Method
LET 'S DO SOME MATHS
Level 2 worksheet time
In the exam formulae questions are more wordy
Follow the steps below
Write out the formula
Write it out again underneath, replacing the letters with numbers on the right hand side
Work it out in stages, use BIDMAS to work things out right in order. Write down values for each bit as you go on.
Do not attempt to do it all in one go on your calculator, you will make mistakes
Formulae Exam Style
So lets try some questions
At Level 2 you need to know your methods or
The cost of a meal is calculated using the formula C =9a + 5k.
If c = cost, a equals adults and k equals kids. Find the cost of a meal for 4 adults and 8 kids.
The cost of a meal is calculated using the formula 9a + 5k. If c = cost, a equals adults and k equals kids. Find the cost of a meal for 4 adults and 8 kids.
Answer and Method
Working Out
Write the formula below down you will use it for the next question
Write this down
Formula
The final height a girl will grow is given by the formula shown. Where m is the mothers height and f is the fathers
Paula's mum is 177cms and her dad is 180cms. What will Paula's height be
The final height a girl will grow is given by the formula shown. Where m is the mothers height and f is the fathers
Paula's mum is 177cms and her dad is 180cms. What will Paula's height be.
Answer and Method
Working Out
Write the formula below down you will use it for the next question
Write this down
Formula
Use the formula you have written down to work out what 50 degrees fahrenheit(f) is in Celsius (C)
Use the formula you have written down to work out what 50 degrees fahrenheit(f) is in Celsius (C)
Answer and Method
Formula
BOOMCARDS
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Activity is Substitution into fomulae
In one minute write the most important thing from today's lesson
Bread and Butter Maths
On the next slide click the link to get to Quizziz
Use your full name when asked
Answer the questions
Use a calculator