Homework
Frequently Asked Question’s
Q - How often will it be set?
A - Once a week
Q - How will it be assessed/graded?
A – You will receive an effort grade A, B, C, D, E or U and an attainment grade 1, 2, 3, 4 or 5. Along with this you will be told what level you are working at, depending on which exam questions you performed well in.
Q – What if it’s not done on time?
A – In the first instance a detention then the maths department strike system will be followed.
Q – What do I do if I get stuck?
A – Either see your maths teacher for help or go to homework club.
Basic 4 Rules (3 – 6)
Level 3 questionWork out 64 + 57 = ...... 1 mark
64 – 57 = ...... 1 mark
37 + 46 = ...... 1 mark
37 × 5 = ...... 1 mark
(b) What number do you need to add to 63 to make 100? ...... 1 mark
(c) What number do you need to subtract from 100 to make 38? ...... 1 mark
Level 4 question- Write the missing numbers in the boxes.
4 / × / + / 20 / = / 180
1 mark
4 / × / 20 / + / = / 180
1 mark
4 / × / – / 20 / = / 180
1 mark
Level 5 question Lisa uses a grid to multiply 23 by 15
× / 20 / 3
10 / 200 / 30
5 / 100 / 15
200 + 100 + 30 + 15 = 345 Answer: 345
Now Lisa multiplies two different numbers. Complete the grid, then give the answer below.
× / ...... / 40 / 3
30 / ...... / ...... / ......
...... / 600 / ...... / 18
Answer:...... 3 marks
Level 6 question - Here are six number cards.
Arrange these six cards to make the calculations below.
The first one is done for you.
a) b) b)
c) Now arrange the six cards to make a difference of 115
3 marks
Decimals (3 – 6)
Food / Drinks
Pizza / £1.40 / Tea / 65p
Burger / 95p / Coffee / 90p
Sandwich / £1.20 / Cola / 80p
Toast / 90p / Juice / £1.00
Here are some prices.
(a) Sally wants to buy one item of food and one drink. What is the least amount of money she can pay? 1 mark
(b) Lee buys one item of food and one drink. He pays with a £5 note and gets £2.60 change. What did Lee buy? 2 marks
Level 4 question
(a) Write the answer to this calculation.
2.5 + 2.5 + 2.5 = ………….. 1 mark
(b) Now write a number in each box to make this calculation correct. The three numbers must be the same.
1 mark
Level 5 question
The number 6 is halfway between 4.5 and 7.5
Fill in the missing numbers.
(a) The number 6 is halfway between 2.8 and ...... 1mark
(b) The number 6 is halfway between –12 and ...... 1 mark
(c) The number 6 is halfway between –1.5 and ...... 1 mark
(d) The number 3.4 is halfway between 2.9 and ...... 1 mark
(e) The number 12.5 is halfway between 9.5 and ...... 1 mark
Level 6 question
Fill in the missing decimal number
(a) 15 ÷ …… = 15 x 0.1 1 mark
(b) 15 ÷ 1000 = 15 x …….. 1 mark
(c) 15 x 0.01 = 15 ÷ ……… 1 mark
Negatives (3 – 6)
Level 4 question
When the wind blows it feels colder. The stronger the wind, the colder it feels. Copy the table and fill in the gaps. The first row is done for you.
Wind strength / Temperature
out of the
wind / How much colder
it feels in the
wind / Temperature
it feels in
wind
Moderate breeze / 5 / 7 degrees colder / –2
Fresh breeze / –8 / 11 degrees colder / ......
Strong breeze / –4 / ...... degrees colder / –20
Gale / ...... / 23 degrees colder / –45
3 marks
Level 5 question - Here is a list of numbers:
–7 –5 –3 –1 0 2 4 6
You can choose some of the numbers from the list and add them to find their total.
For example,
+ = 5
(a) Choose two of the numbers from the list which have a total of 3 1 mark
(b) Choose two of the numbers from the list which have a total of –1 1 mark
(c) Choose two other numbers from the list which have a total of 5 1 mark
(e) What is the total of all eight of the numbers on the list? 1 mark
Level 6 questionFill in the missing numbers in the boxes using only negative numbers.
– / = / 5
– / = / –5
1 mark
Primes, Factors and Multiples (3 – 6)
Write numbers in the boxes to make correct calculations.
You must use different numbers each time.
× / = / 24
× / = / 24
× / = / 24
2 marks
Level 4 question
(a) Is 3 a factor of 30?
Yes / No
Explain how you know. 1 mark
(b) I am thinking of a number that is greater than 3. My number is a factor of 30
What could my number be? Give an example...... 1 mark
(c) Is 7 a factor of 140?
Yes / No
Explain your answer. 1 mark
Level 5 question
Marie wrote
594 × 25 = 14852
Without doing the calculation, how can you tell her answer is wrong? 1 mark
Fractions, Decimals and Percentages (3 – 6)
Sue and Ben each have 12 biscuits.
(a) Sue eats a quarter of her biscuits.
How many biscuits does Sue eat? …………………. 1 mark
(b) Ben eats 6 of his 12 biscuits.
What fraction of his biscuits does Ben eat? …………………. 1 mark
(c) How many biscuits are left altogether? …………….. 1 mark
Level 4 question
Fill in the missing numbers.
25½ + ...... = 27 1 mark
150 - ...... = 27 1 mark
50% of ...... = 27 1 mark
a quarter of ...... = 27 1 mark
Level 5 question
(a) What is 30% of 250? ...... 1 mark
(b) I’m thinking of a number. 10% of my number is 84. Show calculations and explain how you can work out that 15% of my number is 126 1 mark
(c) What is 12% of my number? ...... 1 mark
Level 6 question
Copy and tick () the correct statements.
= 0.5
is equivalent to 10% is equivalent to 5%
2 marks
Fractions (3 – 6)
Look at the shape.
What fraction of the
shape is shaded? 1 mark
Level 4 question
Look at these numbers.
5 /
/
9 /
/
17 /
(a) Which two of these numbers add up to 20? 1 mark
(b) Which two of these numbers have a difference of 10? 1 mark
Level 5 question – Fill in the missing numbers.
a) of 20 = of ...... b) of 100 = of ......
c) of 60 = of ...... 3 marks
Level 6 Question –
(a) Add and Now use an arrow ( ) to show the result on the number line
2 marks
(b) How many sixths are there in 3? 1 mark
(c) Work out Show your working 2 marks
Percentages (3 – 6)
(a) Half of this square is shaded.
What percentage of the square is shaded?
1 mark
(b) What percentage of this square is shaded?
1 mark
Level 4 question
(a) Kate is using her computer to print a photo.
The black bar shows how much of the photo is printed so far.
What percentage of the photo is printed so far? 1 mark
(b) Each photo takes 20 seconds to print.
How many minutes will it take to print 15 photos?
Show your working. 2 marks
Level 5 question – Work out the following answers
a) 10% of 84 = ___ 5% of 84 = ___ 2.5% of 84 = ___ 2 marks
b) The cost of a CD player is £84 plus 17½% tax. What is the total cost of the CD
player? You can use part (a) to help you. 2 marks
Level 6 Question – Kate asked people if they read a daily newspaper. Then she wrote this
table to show her results.
The values in the table cannot all be correct.
The error could be in the number of people.
Complete each table to show what the correct numbers could be.
2 marks
Ratio (3 – 6)
Here are the ingredients for a cordial used to make
a drink.
(a) Jenny is going to make this cordial with 25g of
ginger.
How much lemon, water and sugar should she use?
3 marks
(b)The finished drink should be cordial and water.
Jenny puts 100 ml of cordial in a glass.
How much water should she put with it? 1 mark
Level 5 question – Work out the number of boys and girls in each class below.
a) In class 8K, there are 28 pupils.
The ratio of boys to girls is 3 : 1 1 mark
b) In class 8T, there are 9 boys.
The ratio of boys to girls is 1 : 2 1 mark
Level 6 Question – The screens of widescreen and standard televisions look different.
They have different proportions.
Keri starts to draw scale drawings of the televisions. For each, the height is 4.5 cm.
What should the width of each scale drawing be?
Widescreen:
Width = ____cm
Standard:
Width = ___cm 2 marks
Revision Exercise 1 (3 – 6)
64 + 57 = ...... 1 mark
64 – 57 = ...... 1 mark
Level 4 question
I buy a widescreen television costing £1290
I pay £900 now, then I pay the rest of the money in 3 equal payments.
How much is each payment?
Show your working. 2 marks
Level 5 questions
1. a)Write the missing numbers.
50% of 80 = ...... 5% of 80 = ...... 1% of 80 = ...... 2 marks
b) Work out 56% of 80
You can use part (a) to help you. 1 mark
2. Look at this diagram it may help you work out some of these fraction calculations.
a) 1 mark
b) 1 mark
c) 1 mark
Level 6 Questions
1. a) Give an example to show the statement below is not correct.
1 mark
b) Now give an example to show the statement below is not correct.
1 mark
c) Is the statement below correct for all numbers?
Explain how you know. 1 mark
2. I think of a number. I multiply this number by 8, then subtract 66. The result is twice
the number that I was thinking of. What is the number I was thinking of?
2 marks
Revision Exercise 2 (3 – 6)
(a) Work out
37 + 46 = ...... 1 mark
37 × 5 = ...... 1 mark
(b) What number do you need to add to 63 to make 100? 1 mark
(c) What number do you need to subtract from 100 to make 38? 1 mark
Level 4 question
A meal in a restaurant costs the same for each person.
For 11 people the total cost is £253
What is the total cost for 12 people? 2 marks
Level 5 questions
1 a) Show that 9 × 28 is 252 1 mark
b) What is 27 × 28?
You can use part (a) to help you 2 marks
2. a) Nigel pours 1 carton of apple juice and 3 cartons of orange juice into a big jug.
What is the ratio of apple juice to orange juice in Nigel's jug?
apple juice : orange juice = ...... : ...... 1 mark
b) Lesley pours 1 carton of apple juice and 1 ½ cartons of orange juice into another
bigjug. What is the ratio of apple juice to orange juice in Lesley's jug?
apple juice: orange juice = ...... : ...... 1 mark
c) Tandi pours 1 carton of apple juice and 1 carton of orange juice into another big jug.
She wants only half as much apple juice as orange juice in her jug.
What should Tandi pour into her jug now? 1 mark
Level 6 Questions
1. Write the missing numbers in the table. The first row is done for you.
2. Find the values of t and r.
a) b) 2 marks
Revision Exercise 3 (3 – 6)
A shop sells three different sized bottles of lemonade.
(a) I want 3 litres of lemonade.
I could buy three bottles of size 1 litre.
How much would that cost? 1 mark
(b) Write a different way I could buy exactly 3 litres of lemonade.
Now work out how much it would cost. 1 mark
(c) Write another different way I could buy exactly 3 litres of lemonade.
Now work out how much it would cost. 1 mark
(d) My friend buys seven bottles of lemonade.
Two of the bottles are of size 1 litres.
Five of the bottles are of size 2 litres.
How many litres is that altogether? 2 marks
Level 4 question
(a) Add together 3.7 and 6.5 1 mark
(b) Subtract 5.7 from 15.2 1 mark
(c) Multiply 254 by 5 1 mark
(d) Divide 342 by 6 1 mark
Level 5 questions
1. Fill in the missing numbers
of 20 = of ___ of 100 = of ___ of 60 = of ___ 3 marks
2. Complete the sentences.
a) ...... out of 10 is the same as 70% 1 mark
b) 10 out of 20 is the same as ...... % 1 mark
c) ...... out of ...... is the same as 5% 1 mark
Level 6 questions
1. a) How many eighths are there in one quarter? 1 mark
b) Now work out 2 marks
2. a) Look at these numbers 16 25 34 43 52 61
Which is the largest? _____ Which is equal to 64? ____ 2 marks
b) Which two of the numbers below are not square numbers?
24 25 26 27 28 ____ and ____ 1 mark
Revision Exercise 4 (3 – 6)