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Wyvern College │1

Year 7 Homeworks

Wyvern College

Year 7 Maths Homeworks Welcome to your year 7 maths downloadable homeworks! Save this file somewhere safe like on your laptop, PC or iPad where you are going to regularly open it from to do your homeworks.

These homeworks have been specially designed to follow topics that you have been taught in class. From homework 4 onwards, each homework that you do will jump between lots of different topics. This is deliberate as it helps you keep things you learned a day, a week and a month ago in class still in your mind. It helps you remember things long term.

You should have notes in your notebook about every topic that appears in the homeworks so if you are stuck make sure you look in your notebook for help.

A lot of work went into creating these homeworks so that it improves your learning and hopefully you’ll enjoy them too! Do your best on them.

Click these links below to go to your homeworks:

Contents

Homework 1 ............................................................................................................................................ 2

Homework 2 ............................................................................................................................................ 3

Homework 3 ............................................................................................................................................ 4

Homework 4 ............................................................................................................................................ 5

Homework 5 ............................................................................................................................................ 8

Homework 6 .......................................................................................................................................... 11

Homework 7 .......................................................................................................................................... 14

Homework 8 .......................................................................................................................................... 16

Homework 9 .......................................................................................................................................... 19

Homework 10 ........................................................................................................................................ 22

Homework 11 ........................................................................................................................................ 25

Homework 12 ........................................................................................................................................ 32

Homework 13 ........................................................................................................................................ 38

Homework 14 ........................................................................................................................................ 42

Homework 15 ........................................................................................................................................ 46

Wyvern College │2

Year 7 Homeworks

Homework 1

Q Always write questions, workings and answers L C

1 7 + 8 3 N

2 10 + 13 3 N

3 8 – 3 3 N

4 15 – 4 3 N

5 27 – 12 3 N

6 23 + 45 3 N

7 36 + 59 3 N

8 67 + 75 3 N

9 19 + 86 3 N

10 97 – 45 3 N

11 48 – 29 3 N

12 52 – 38 3 N

13 88 – 29 3 N

14 344 – 108 3 N

15 249 + 1024 + 43 4 N

16 123467 + 123752 4 N

17 784 + 984 + 9458 + 89 4 N

18 2347 – 999 4 N

19 4006 – 2149 4 N

20 9000 – 5999 4 N

Wyvern College │3

Year 7 Homeworks

Homework 2


1 4 X 3 3 N

2 5 X 12 3 N

3 0 X 7 3 N

4 1 X 11 3 N

5 7 X 8 3 N

6 4 X 65 3 N

7 3 X 71 3 N

8 8 X 50 3 N

9 42 X 5 3 N

10 68 X 9 3 N

11 5 X 352 4 N

12 8 X 659 4 N

13 4 X 765 4 N

14 23 X 95 4 N

15 60 X 54 4 N

16 13 X 53 4 N

17 93 X 730 4 N

18 490 X 51 4 N

19 427 X 848 4 N

20 9081 X 7496 4 N

Wyvern College │4

Year 7 Homeworks

Homework 3


1 10 ÷ 2 3 N

2 6 ÷ 3 3 N

3 9 ÷ 1 3 N

4 0 ÷ 5 3 N

5 24 ÷ 6 3 N

6 45 ÷ 9 3 N

7 64 ÷ 8 3 N

8 56 ÷ 7 3 N

9 121 ÷ 11 3 N

10 144 ÷ 12 3 N

11 244 ÷ 2 4 N

12 205 ÷ 5 4 N

13 369 ÷ 3 4 N

14 846 ÷ 2 4 N

15 450 ÷ 9 4 N

16 632 ÷ 4 4 N

17 8685 ÷ 9 4 N

18 4504 ÷ 8 4 N

19 62678 ÷ 11 4 N

20 82602 ÷ 13 4 N

Wyvern College │5

Year 7 Homeworks

Homework 4


1 Write out the first ten even numbers 3 N

2 How many odd numbers are there below 18? 3 N

3 23 + 89 3 N

4 124 – 96 3 N

5 What type of angle is this?

3 N


3 N

7 Name the 4 types of angle? 3 N

8 For what range of angles is a reflex angle? 3 N

9 Describe using words the probability of obtaining a head when tossing a coin. 3 N

10 Describe using words the probability of the sun rising tomorrow. 3 N

11 What is the rule for the following sequence? 4, 7, 10, 13, 16 ... 4 N

12 Write down the first 10 square numbers 4 N

13 What is the output?

4 N


4 N

15 Draw an angle of 43o 4 N

16 Measure this angle

4 N


18 Estimate the size of this angle. Explain how you did this.

4 N

19 34 x 57 4 N

20 128 ÷ 4 4 N

21 Write down the next two numbers in this sequence 3, 6, 12, 24, ..., ... 5 N

22 Write down the next two numbers in the this sequence 5, -2, -9, -16, ..., ... 5 N

23 What is the input?

5 N


5 N

4 X 3 ?

8 X 4 ? - 9

? X 4 30 + 6

X 7 28 ?

Wyvern College │6

Year 7 Homeworks

25 Find the missing angle. Give a reason for your answer. Diagram not drawn accurately

5 N


5 N


5 N

28 What do the angles in a quadrilateral add up to? 5 N

29 What is the probability of getting less than 3 when rolling a dice? 5 N

30 What is the probability of getting a 7 when rolling a dice? 5 N

31 Write down the first 5 numbers of the following sequence. Start with 6 and add 5 each time.

6 N

32 Write down the first 5 numbers of the following sequence. Start with 7 then double and add 3 each time.

6 N

33 Ben is throwing a dice and tossing a coin. Complete the sample space diagram to show all possible outcomes.

1 2 3 4 5 6

H H , 1

T

6 N

34 Using the diagram in Q33 how many outcomes are there? 6 N

35 Using the diagram in Q33 What is the probability of throwing a tail with an even number?

6 N

36 If the probability that Sarah falls over is 0.3, what is the probability that she does not fall over?

6 N

37 The probability that James burns his toast is

. What is the probability that James does

not burn his toast?

6 N

38 Amy is throwing a dice and a four sided spinner. She then adds the two numbers together to get her score. Complete the sample space diagram to show all possible outcomes. Dice

1 2 3 4 5 6

1

2

3 7

4

6 N

39 Using the diagram in Q38 how many possible outcomes are there? 6 N

123o x

o

xo

xo

88o

s

p

i

n

n

e

r

Wyvern College │7

Year 7 Homeworks

40 Using the diagram in Q38 what is the probability of getting a score of at least 7? 6 N

Wyvern College │8

Year 7 Homeworks

Homework 5


1 Write out the first ten odd numbers 3 N

2 Write down the first 5 integers 3 N

3 38 X 9 3 N

4 1240 ÷ 2 3 N


3 N

6 Label the right angle.

3 N

7 What do we call an angle that is 90o? 3 N

8 For what range of angles is an obtuse angle? 3 N

9 Describe using words the probability when having a baby, it is a girl. 3 N

10 Describe using words the probability of being 300m tall. 3

11 Describe the rule for the following sequence 50, 45, 40, 35, 30 ... 4 N

12 Write down the first 10 triangle numbers 4 N


4 N


4 N



4 N


18 Estimate the size of this angle. Explain how you did this.

4 N

19 104 x 17 4 N

20 5675 ÷ 5 4 N

21 Write down the next two numbers in this sequence

,

,

,

, ..., ... 5 N

22 Write down the next two numbers in the this sequence 3, 2.5, 2, 1.5, ..., ... 5 N


5 N

9 X 7 ?

40 ÷ 5 ? - 2

÷5 6 ?

Wyvern College │9

Year 7 Homeworks


5 N


5 N


5 N

27 Find the missing angles. Give a reason for your answers. Diagram not drawn accurately

5 N

28 How many degrees is each angle worth in an equilateral triangle? 5 N

29 From the first 20 integers what the probability of picking a square number? 5 N

30 What is the probability of pulling a king from a regular pack of playing cards? 5 N

31 Write down the first 5 numbers of the following sequence. Start with 40 and subtract 5 each time.

6 N

32 Write down the first 5 numbers of the following sequence. Start with -2 then double each time.

6 N

33 Steve is throwing two coins. Complete the sample space diagram to show all possible outcomes.

H T

H

T

6 N


35 Using the diagram in Q33 What is the probability of tossing 2 coins and obtaining one tail with one head?

6 N

36 If the probability that Mark is late is 0.25, what is the probability that he is not late?

6 N

37 The probability that Sam wins his race is

. What is the probability that Sam does not

win his race?

6 N

? X 3 30 - 9

173o

xo

80o

xo

88o

131o

42o y

o

xo

Wyvern College │10

Year 7 Homeworks

38 Becky is throwing two dice. She then multiplies the two numbers together to get her score. Complete the sample space diagram to show all possible outcomes.

1 2 3 4 5 6

1

2

3

4 20

5

6

6 N

39 Using the diagram in Q38 how many possible outcomes are there? 6 N

40 Using the diagram in Q38 what is the probability of getting a score bigger than 16? 6 N


Year 7 Homeworks

Homework 6


1 234 + 567 3 N

2 292 – 121 3 N

3 345 X 7 3 N

4 1743 ÷ 3 3 N

5 Name the type of angle

3 N

6 Draw an reflex angle 3 N

7 How many right angles are there in a square? 3 N

8 For what range of angles is an acute angle? 3 N

9 Describe using words the probability of winning the lottery. 3 N

10 What temperature is being shown on the thermometer?

3


12 Write down the first 10 cube numbers 4 N


4 N


4 N



4 N


18 What is the operation?

4 N

19 Packets of sweets cost 93p each. How much would 123 packets cost? 4 N

32 + 41 ?

60 ÷ 6 ? + 7

7 ? 42


Year 7 Homeworks

20 Bags of compost cost £3. How many bags can you buy with £2343? 4 N

21 -7 x 9 5 N

22 -24 ÷ -8 5 N

23 -10 - 4 5 N


5 N


5 N


5 N

27 Find the missing angles. Give a reason for your answers. Diagram not drawn accurately

5 N

28 (-3) – (-17) 5 N

29 4 + (-11) 5 N

30 What is the probability of pulling a picture card from a regular pack of playing cards? 5 N

31 Write down the first 5 numbers of the following sequence. Start with 75 then subtract 12 each time.

6 N

32 Write down the first 5 numbers of the following sequence. Start with -10 then take away 7 each time.

6 N

33 Mary has 2 four sided spinners. She spins them and adds the result to obtain her score.

1 2 3 4

1

2

3

4

6 N


35 Using the diagram in Q33 What is the probability of having an even score? 6 N

36 Using the diagram in Q33 what is the probability of both spinners being odd?

6 N

37 The probability that Rhian misses the bus is

. What is the probability that Rhian does

not miss the bus?

6 N

? + 6 49 X 7

152o

xo

75o

xo

119o

94o y

o

xo


Year 7 Homeworks

38 A bias dice is being thrown. The probabilities are shown in the table below

1 2 3 4 5 6

Probability 0.3 x 0.1 0.2 0.1 0.2

What is the value of x?

6 N

39 A bias spinner is being thrown. The probabilities are shown in the table below

Red Blue Green Yellow

Probability 0.3 2x 0.1 x

What is the probability of landing on blue?

6 N

40 Three people run in a race. The probability that Leon wins is 0.12, the probability that Jamie wins is 0.06. What is the probability that the last runner Simon wins?

6 N


Year 7 Homeworks

Homework 7


1 Draw a number line the same as below in your book and mark -4 with a cross.

3 N

2 50 ÷ 5 3 N

3 24 + 19 3 N

4 319 – 124 3 N

5 1,2, 4, 5, 11, 15, 16, 21, 20, 99 From the list above which numbers are odd?

3 N

6 State 10 even numbers over 50. 3 N

7 What do we name an angle that is smaller than 90o 3 N

8 What is a factor? 4 N

9 Write down the first 10 multiples of 8. 4 N

10 Write down the first 10 Prime numbers. 4 N


12 Write down all the factors of 40 4 N

13 Write down the coordinates of the points A, B and C.

4 N

14 Copy these axes into your books. Mark the coordinate ( 2, 5)

4 N

15 Copy the axis from Q11. Plot the points (1,1) (1,6) (6,1) (6,6) What shape is this? 4 N


17 Express 24 as a product of its prime factors. 5 N

18 Find the HCF of 42 and 120 5 N

19 A thermometer reads -3oC. What temperature will it be if it rises by 7o 5 N

20 -4 x -25 5 N

21 -9 – ( -13) 5 N


Year 7 Homeworks

22

Simplify 2x + 3y + 9x + 15y

5

N

23 Solve 2x = 30

5 N

24 Solve 2x + 3 = 9

6 N

25 Solve 5x - 10 = 20

6 N

26 Solve 30 = 3x – 3

6 N

27 Solve -6 = 9x + 3

6 N

28 Ben has x marbles Laura has double the amount of marbles than Ben has. They have 30 marbles between them. How many marbles does Ben have?

6 N

29 Sarah has n gold nuggets. Keith has 2n gold nuggets Mary has 3 times the amount of gold nuggets as Sarah. In total they have 36 gold nuggets. How many gold nuggets does Sarah have?

6 N

30 State the first 5 terms of the sequence. Start with 3 then half and add 4. 6 N

31 The probability of rain is 0.02 what is the probability of no rain? 6 N

32 The probability of hitting colours on an archery target are listed below.

White Blue Red Yellow Black

Probability 0.2 X 0.1 0.15 0.3

What is the probability of hitting blue?

6 N

33 Solve 2x + 10 = x + 30

7 N

34 Solve 8x - 10 = 6x + 40

7 N

35 Solve 10 + 9x = 3x + 34

7 N

36 Solve 4x - 10 = 10x – 13

7 N

37 Solve 7x - 3 = 4x + 21

7 N

38 Solve 2x - 10 = 10x – 26

7 N

39 Solve 5x + 7 = 3x – 3

7 N

40 Solve 60 - 2x = x + 30

7 N


Year 7 Homeworks

Homework 8


1 Using words describe the probability of you eating dinner tonight. 3 N

2 14 + 27 3 N

3 97 – 16 3 N

4 24 ÷ 8 3 N


3 N

6 345 x 12 4 N

7 3858 ÷ 3 4 N

8 2304 – 195 4 N

9 What is the rule for the following sequence 5, 3, 1, -1, -3,... 4 N

10 List the first 10 multiples of 7. 4 N

11 Write down the coordinates of A, B and C

4 N

12 Measure the following angle

4 N

13 List the factors of 60. 4 N

14 Write down the next two numbers in the following sequence 70, 58, 46, 34, 22, ..., ... 5 N

15 Write down the next two numbers in this sequence 1,1,2,3,5,8,...,... 5 N


5 N


5 N

? ÷ 5 100 + 20

110o x

o 32o


Year 7 Homeworks

18 Find the missing angle. Give a reason for your answer.

Diagram not drawn accurately

5 N

19 Label the probability scale below with words AND numbers,

5 N

20 A bag contains 5 red, 6 blue and 3 yellow counters. What is the probability of selecting a blue counter from the bag?

5 N

21 Find the value of 22 x 33 5 N

22 Write 16 a product of its prime factors 5 N

23 Find the LCM of 100 and 24 5 N

24 -42 ÷ -7 5 N

25 Write down the coordinates of A, B, C and D

5 N

26 On the grid below mark the sets of points. Join the points in the order given, joining the first to last and name the shape drawn. (3,3), (3,-1), (-1,-1), (-1,3)

5 N

27 Solve 7x – 9 = 33

6 N

x

y

xo

34o


Year 7 Homeworks

28 Solve -3 = -33 + 5x

6 N

29 If the probability of fish being male is 0.47 what is the probability of a fish not being male?

6 N

30 Write down the following sequence. Start with 3 then triple and take away 5. 6 N

31 Two spinners numbered are spun at the same time. Spinner 1 has the values 1, 2 and 3 whilst spinner 2 has the values 1, 2 and 4. The scores on each spinner are added together. Complete the following possibility space to show the total of all the possible outcomes.

Spinner 1

Spinner 2 1 2 3

1 2

2

4

6 N

32 Using the diagram in Q31. What is the probability of getting a total of 4 where the values on the spinner are the same.

6 N

33 The sides of a rectangle are xcm and 3cm. Its perimeter is 24cm2. Find the value of x 6 N

34 Solve 7x = 14 4

6 N

35 Solve 2x + 9 = x + 31

7 N

36 Solve 10x + 9 = 7x – 3

7 N

37 Solve 2x - 10 = 6x – 26

7 N

38 Solve 7x + 19 = 3x + 21

7 N

39 Solve -60 - 7x = x + 4

7 N

40 Solve 20 + 9x = 3x + 32

7 N


Year 7 Homeworks

Homework 9


1 Give an example of an event that is impossible 3 N

2 4 x ? = 44 3 N

3 56 + 32 3 N

4 Chicken nuggets come in packs of 6. How many chicken nuggets are in 10 packs? 3 N

5 Why is 320 named an acute angle? 3 N

6 72 x 340 4 N

7 35860 ÷ 4 4 N

8 2003 – 174 4 N

9 What is the rule for the following sequence 8, 12, 16, 20, 24,... 4 N

10 What is the 7th square number? 4 N

11 Copy the axis into your book. Plot the points A = (0,0) B = ( 6,4) C = ( 2,3) D = ( 1, 5)

4 N

12 Draw an angle of 1070 4 N

13 Write down the 13th prime number 4 N

14 Write down the next two numbers in the following sequence 50, 42, 34, 26, 18, ..., ... 5 N

15 What is the value of (-3)2 5 N


5 N

17 Find the missing angles. Give a reason for your answer.


5 N

18 Find the missing angle. Give a reason for your answer.


5 N

? + 5 -20 -9

x

o

58o


Year 7 Homeworks

19 100 raffle tickets are sold, Steve buys 3 tickets. What is the probability that Steve wins the raffle?

5 N

20 From an ordinary pack of cards what is the probability of selecting a club? 5 N

21 -12 x -37 5 N

22 Write 50 a product of its prime factors 5 N

23 Find the HCF of 32 and 72 5 N

24 -5 + (-12) 5 N

25 Find the midpoint of the line AB

5 N

26 What are the coordinates of A, B, C, D, E

5 N

27 Solve 11x + 4 = 20

6 N

28 Solve 1 = -14 + 5x

6 N

29 If the probability that a pupils favourite subject is maths is x, what is the probability that their favourite subject is not maths?

6 N

30 The blueline bus leaves Eastleigh every 20 mins. The City bus leaves Eastleigh every 28 mins. They both leave Eastleigh at 09.00. When is the next time they will leave Eastleigh at the same time?

6 N

x

y

x

y

A

B

E

D

C

B

A


Year 7 Homeworks

31 A bag contains a red, blue and green counter, a second bag contains 2 red and 1 blue counters. Complete the possibility space to show all possible outcomes.

Bag One

Bag two R B G

R (R,R)

R

B

6

N

32 Using the diagram in Q31. If a counter is selected from each bag at random what is the probability of getting 2 different coloured counters.

6 N

33 Mary and Susan each have x sweets. Jean has 10 sweets. Between them they have 18 sweets. Find the value of x

6 N

34 Solve 5x + 2 = 12 3

6 N

35 Solve 4x – 2 + 6x – 4 = 64

7 N

36 Solve 15x + 2x – 6x – 9x = 20

7 N

37 Solve 10x - 10 = 3x – 24

7 N

38 Solve 3x + 12 = 4x + 21

7 N

39 Solve 60 - 6x = 4x + 9

7 N

40 Solve 2 + 4x = 6x + 12

7 N


Year 7 Homeworks

Homework 10


1 Copy the diagram into your book and shade

of the shape

3 N

2 How much is 134p written in £ 3 N

3 How much is 73p written in £ 3 N

4

Copy the diagram into your book and shade

of the shape

3 N

5 Copy the diagram into your book and shade

of the shape

3 N

6 4 x 9 3 N

7 36 ÷ 6 3 N

8 17 + 5 3 N

9 Put the following numbers in order of size starting with the smallest 0.3 0.032 0.03 0.003 0.32

4 N

10 Put the following numbers in order of size starting with the biggest 0.245 0.87 0.432 0.72 0.009

4 N

11 3456 – 768 4 N

12 45 x 976 4 N


4 N

14 Why is 25 a square number? 4 N

15 What is the rule for the following sequence 0.1 , 0.2, 0.3, 0.4, ... 4 N


4 N

17 2 + 6 x 9 5 N

18 8 x (7 + 4) – 5 5 N

19 Place these fractions in order of size starting with the smallest

5 N

? X 7 12 X 10


Year 7 Homeworks

20 Simplify

5 N

21

+

5 N

22 Find

of 48

5 N

23 Express

as a mixed number

5 N

24 1.3 + 12.35 5 N

25 178.5 – 24.42 5 N

26 Draw a scatter diagram for the following set of data.

Shoe Size 5 6 7 4 5 7 8 10 3

Height (cm) 120 123 128 111 124 130 140 144 101

6

N

27 Using the diagram you drew in Q26 describe and interpret the correlation. 6 N

28

+

6 N

29

-

6 N

30 Is the correlation shown in the scatter graph, strong or weak? Explain how you know.

6 N

31 Write down the first 5 numbers of the following sequence. Start with 7 then double and add 3 each time.

6 N

32 If the probability a baker burns a cake is 0.23, what is the probability that the baker does not burn a cake?

6 N


Year 7 Homeworks

33 Eggs are Small, Medium or Large. Work out the value of x

Size S M L

Probability 0.6 0.1 x

6

N

34 Penzance lighthouse flashes it’s light every 6 seconds. Falmouth lighthouse flashes it’s light every 10 seconds. If they both flash at the same time, how many seconds will it take until they flash at the same time again?

6 N

35

3

+

7 N

36

+ 5

7 N

37

-

7 N

38 Solve 10x – 7 = 9x – 5

7 N

39 Solve 13 – 3x = 2x + 17

7 N

40 Solve 3x – 7 = 2x + 7 – 5x

7 N


Year 7 Homeworks

Homework 11


1 What fraction of the pizza is left?

3 N

2 The table shows the numbers of cats that were brought to a vet clinic each day for one working week.

Using = 10 cats Draw a pictogram for the data.

Year Group Number of Cats

Monday 10

Tuesday 20

Wednesday 40

Thursday 15

Friday 60

3

N

3 Convert £4.50 into pence 3 N

4 Copy the diagram into your book and shade in the balloons to make the statement correct.

3 N

5 The table below shows the 7A1’s favourite colours. Draw a bar chart to show this data.

Colour Frequency

Red 3

3

N

a b

c d


Year 7 Homeworks

Blue 4

Yellow 6

Pink 2

6 How many football matches had ,

A) 2 goals B) No goals

3

N

7 The bar chart shows the number of books Steve reads each month.

a) In which month did Steve read the most books? b) How many books did Steve read in September? c) How many books did Steve read in total over the 4 months?

3

N


Year 7 Homeworks

8 Use the table to answer the following questions.

a) How many $ did Education Graduates earn? b) What is the unemployment rate for

engineering?

3 N

9 Complete the Frequency table for people’s favourite pets.

Pet Tally Frequency

Dog

Cat

Fish

4

N

10 Put the following numbers in order of size starting with the biggest 0.45 0.47 0.042 0.421 0.0045

4 N

11 The list of data shows the shoe size of 13 pupils at Wyvern College. 3, 4, 6, 3, 2, 5, 8, 6, 7, 3, 5, 6, 7 What is the Range?

4 N

12 The list of data shows the shoe size of 13 pupils at Wyvern College. 3, 4, 6, 3, 2, 5, 3, 6, 7, 3, 5, 6, 3 What is the Mode?

4 N


Year 7 Homeworks

13 Find the area of the shape by counting squares

4 N

14 Find the Perimeter of the shape

4 N

15 Write down the coordinates of each of the corners of the rectangle.

4 N

16 What is this famous sequence called? Complete another row at the bottom of the triangle.

4

N

17 The following list of data shows the age of 10 swimmers entered in a swimming gala. 5, 6, 6, 7, 11, 6, 5, 9, 9, 10 Work out the mean age of the swimmers

5 N

18 The following list of data shows the age of 10 swimmers entered in a swimming gala. 5 N


Year 7 Homeworks

5, 6, 8, 7, 11, 6, 5, 11, 9, 10 Work out the median age of the swimmers

19 Place these fractions in order of size starting with the smallest

5 N

20 The pie chart shows pet sales at a large pet store.

a) Which was the most popular type of pet sold? b) Roughly the same number of which two pets were sold?

5 N

21

+

5 N

22 Find

of 49

5 N

23 Express

as a mixed number

5 N

24 Look at the shape below

A) find the area B) find the perimeter

5 N


Year 7 Homeworks

25 7 + (13 - 5) x 2 5 N

26 Calculate the area of the following shape 6

N

27 Calculate the area of the following shape (all dimensions are in mm)

6 N

28

+

6 N

29

-

6 N

30 Describe and interpret the correlation shown in the scatter diagram.

6 N

31 Give one advantage of using the median over the mean? 6 N

32 The table shows the most popular colours of t shirts sold in new look.

Colour Pink Green Blue Red

Frequency 35 20 25 10

Draw a pie chart to display this data

6 N

33 The probability that a man buys a valentines card is 0.89. What is the probability that a man does not buy a valentine’s day card?

6

N

34 Solve 10 – 3x = 40

6 N

15m

12m

10m


Year 7 Homeworks

35 The grouped frequency table shows distribution of scores on a science test. Draw a frequency polygon to display this data

7 N

36

+ 2

7 N

37

-

7 N

38 Calculate the area of the following shape

7 N

39 Calculate the perimeter of the following shape

7 N

40 Solve 8x – 7 = 9x + 18 – 2x

7 N


Year 7 Homeworks

Homework 12


1 23 x 7 3 N

2 The table shows how many packets of sweets were sold at the cinema each day for one week.

Day Monday Tuesday Wednesday

Thursday

Friday Saturday

Sunday

Number sold

12 16 40 8 44 32 24

Using the key = 4 packets of sweets Draw a pictogram to display the data

3

N

3 Here is a list of pets bought in a pet shop over one day. Draw a bar chart to display this data.

3 N

4 What fraction of the light bulbs are glowing?

3 N

5

Name the type of angle

3

N

6 56 ÷ 7 3 N


Year 7 Homeworks

How many shooting stars were seen on,

a) Monday? b) the weekend?

7 Draw on any right angles

3 N

8

Write down the temperature shown by each thermometer.

3 N

9 28 x 45 4 N


4 N

11 The times in seconds taken to eat a Jacobs cream cracker by 10 pupils were: 11, 14, 18, 12, 10, 17, 12, 15, 12, 11 What is the range?

4 N

12 The times in seconds taken to eat a Jacobs cream cracker by 10 pupils were: 11, 14, 11, 12, 11, 17, 12, 15, 12, 11 What is the mode?

4 N

13 Find the area of the shape by counting squares

A

B

6 X 8 ? - 3


Year 7 Homeworks

4 N

14 Draw accurately an angle of 127o 4 N

15 Write down all the factors of 20 4 N

16 Write down the first 5 multiples of 7 4 N

17

5 N

18 10 ÷ 2 + ( 2 x 6) – 9 5 N

19 Write down coordinates A and B. Write down the midpoint of the line AB

5

N

20 Solve x = 3

7

5 N

21 Simplify 3x + 7y – 5x + 9y

5 N

22 Find 5 N

Work out the mean sale price


Year 7 Homeworks

of 66

23 Express as a top heavy fraction

5 N

24 Express 60 as a product of its prime factors in index form 5 N

25 Find the value of 34 5 N


6

N


6 N

28

The following two spinners are spun, then the scores are added together. Draw a sample space diagram to show all possible outcomes.

6 N

29 Give an advantage of using the mean over the median 6 N

30 Write down the first 5 numbers of the following sequence. Start with 3 then halve and add 5 each time.

6 N

31

6 N

32 Using the graph in question 31 describe and interpret the correlation 6 N

33 Solve 6 N

6cm

10cm

m

8cm

9cm

13cm

10cm

The scatter diagram shows maths

and science scores of year 9

pupils.

Draw on a line of best fit


Year 7 Homeworks

10 = 5x – 35

34 The area of the following shape is 60cm2 . Find the length of the base

6

N

35 Fifty bags of sweets were opened. The number of sweets in each bag is recorded in the table below:

Number of sweets Frequency

18-22 6

23-27 14

28-32 16

33-37 11

38-42 3

Represent this information in the form of a frequency polygon.

7 N

36

+ 7

7 N

37

-

7 N


7 N

39 The park needs to be refenced. The fence panels are 3m wide. How many fence panels will be needed?

7

N

6cm

10m

5m

12m

16m


Year 7 Homeworks

40 Solve x – 20 = 3x + 8 – 5x

7 N


Year 7 Homeworks

Homework 13


1 Mark the set of parallel lines

3 N

2 What time is shown on the clock?

3 N

3 Trace this clock face into your book. Mark on hands so that the clock shows the time of quarter to 5

3 N

4 23 + 87 3 N

5 63 x 8 3 N

6 From the list of numbers below, write down the ODD numbers 3, 6, 9 , 25, 12, 30, 100

3 N

7 Match the angle with the correct name Acute Reflex obtuse

3 N

8 Use words to describe the probability of the next person you meet being a twin 3 N


Year 7 Homeworks

9 Measure the length of the pencil

4 N

10 Which metric unit would be used to measure the length of a motorway? 4 N

11 Write down the prime numbers from the list 1, 2, 4, 6, 7, 12, 15, 23

4 N

12 Draw the axis below

Plot the coordinates A = (2,7) B = (1,10) C = (9,3) D = (0,0)

4 N


4 N


15 Write down the first 5 square numbers 4 N


4 N

17 0.7 x 0.56 5 N

18 12 x 0.43 5 N

19 16 ÷ 0.25 5 N

20 Convert 3m into cm 5 N

21 Convert 16mm into cm 5 N

22 Estimate the height of a post box Diagram not drawn to scale

5 N

? X 3 3 X 7 ?


Year 7 Homeworks

23 Covert 10 metres into feet 5 N

24 -7 x -8 5 N

25 -3 - - 9 5 N

26 8.4 ÷ 0.3 6 N

27 Find angle x

6 N

28 Find angle x

6 N

29 Find the angle marked x

6 N

30 One bag contains two 10p coins and a 1p coin. Another bag contains one 10p a 2p and a 1p. Ben selects one coin from each bag and adds the total together. Complete the possiblity space to show all possible outcomes.

6 N

31 Using the diagram in question 30 a) What is the probability of getting 11p? b) What is the probability of getting two copper coins?

6 N

32 City Hoppa runs two buses starting from the same bus stop. One bus has a route that takes 25 minutes. The other bus has a route that takes 35 minutes. Both buses leave the bus stop at 6am and run continuously. What is the next time that the buses will be at the stop together?

6 N

33 Joe is organising a quiz night. He has to work out how big the teams should be. There 6 N

124⁰

x

115⁰

x

130⁰

x


Year 7 Homeworks

will be either 35 or 40 contestants. What is the greatest number of people Joe can put on each team?

34 10x + 9 = 19 6 N

35 Does a number get bigger or smaller when you divide it by a number between 0 and 1? 7 N

36 Solve 3x – 40 = 5x + 8

7 N

37 Find the area of the following shape

7 N

38

+ 3

7 N

39

-

7 N

40

+

+

7 N


Year 7 Homeworks

Homework 14


1 Draw 3 parallel lines 3 N

2 What time is shown on the clock?

3 N

3 Draw this clock face into your book. Mark on hands so that the clock shows the time of five minutes to 7

3 N

4 Write 3.30pm in the form of the 24 hour clock 3 N

5 What time is the clock displaying if it was in 12 hour format?

3 N

6 From the list of numbers below, write down the EVEN numbers 4, 6, 12 , 25, 17, 33, 100

3 N

7 What is the special name for these angles?

3 N


Year 7 Homeworks

8 Use words to describe the probability of a pregnant lady having a baby boy 3 N

9 Measure the length of the hair brush

4 N

10 What would you metric unit would be used to measure the contents of a can of cola? 4 N


12 Draw the axis below

Identify the coordinates of the shapes plotted above

4 N

13 Draw an angle measuring 560 4 N


15 25 x 87 4 N

16 455 ÷ 5 4 N

17 0.65 x 1.31 5 N

18 52 x 3.27 5 N

19 300 ÷ 0.3 5 N

20 Convert 3700m into km 5 N

21 Convert 180cm into mm 5 N

22 Solve 8x = 64

5 N

23 12 x 4 – 7 x 2 5 N

24 -7 x 6 5 N

25 -3 + (-29) 5 N

26 12.4 ÷3.7 6 N

27 Find the missing angles and give reasons for your answer

6 N

s

r

t

71⁰

48⁰


Year 7 Homeworks

28 Find the missing angles and give reasons for your answer

6 N

29 Find the missing angles

6 N

30 There are two spinners. One of them shows the numbers 1 to 4 and the other shows the numbers 1 to 5. Complete the sample space below to show all the possible outcomes of spinning both spinners and adding the numbers.

1 2 3 4 5

1 2 3

2

3 5 7

4

6

N

31 Using the diagram in question 30, what is the probability of getting a score of 6?

6 N

32 Which average does the UK top 40 use to decide who is number one? How do you know this?

6 N

33 -2 = 16 – 2x 6 N

34 15x + 10 = 40 6 N

35 Does a number get bigger or smaller when you multiply it by a number between 0 and 1?

7 N

36 Solve 10x + 60 = 5x + 5

7 N

37 Find the area of the orange shape (all measurements given are in metres)

7 N

66⁰

110⁰

x

y

x

y

58⁰ 46⁰


Year 7 Homeworks

38

+ 6

7 N

39

-

7 N

40

+

7 N


Year 7 Homeworks

Homework 15


1 846 + 612 3 N

2 43 x 9 3 N

3 Draw and label an acute, obtuse and reflex angle 3 N

4

Draw the probability scale into your book. Mark the following events on to the line

a) The probability of a cat giving birth to a dog b) The probability of you eating dinner today c) The school being closed for a snow day tomorrow

3 N

5 What fraction of the cake is missing?

3 N

6 How much is 1235p in pounds? 3 N

7 What is 9 less than 3 3 N

8 The pictogram shows how many apples Matthew ate over a 4 month period

a) How many apples did he eat in February? b) How many more apples did he eat in March than January?

3 N

9 351 ÷ 3 4 N

10 23 x 69 4 N

11 Describe what is happening to make the next pattern

4 N


4

N

? 7 X 6 - 6 4 ?


Year 7 Homeworks

13 Draw an angle of 3240 4 N

14 List the factors of 50 4 N

15 Put the following numbers in order of size, starting with the smallest. 0.9, 0.09, 0.909, 9.9, 0.91

4 N

16 Look at the list of data below. What is the mode? 3, 5, 7, 5, 7, 8, 9, 5, 3, 4, 10

4 N

17 Write down the next two terms in the sequence 0, 1, 3, 6, 10, 15, 21, ...

5 N

18 Find the angle marked x. Give a reason for your answer

5

N

19 Find the angle marked x. Give a reason for your answer

5 N

20 A counter is selected at random from the following bag containing 2 red and 6 blue counters.

What is the probability of getting a red counter?

5 N

21 5 + 32 x ( 4 – 2) 5 N

22 Find

of 28 5 N

23 Convert the following fraction into a decimal.

5 N

24 12.3 x 1000 5 N

25 -20 x 43 5 N

26 The probability that a dog barks when the postman comes is

what is the probability 6 N

x

75⁰

4cm 4cm x

36⁰


Year 7 Homeworks

that the dog will not bark?

27 Mr Jones has to organise classes into groups for group work. He has a class of 30 and a class of 42. He wants both classes to have the same number of people in each of the groups in both classes. What is the biggest number of people he can have in each group.

6 N

28 Solve 10y – 50 = 30

6 N

29 Describe and interpret the correlation

6 N

30

6

N

31

6 N

32 Draw a pie chart for the following data

Animal Pig Horse Elephant Bird

Frequency 12 16 6 2

6

N

33 Look at the data below, would it be most sensible to use the mean or median? Give a reason for your answer. 2, 23, 25, 28, 29, 29, 30, 32, 33, 100

6 N

34 Calculate the area of the following shape.

6 N

35 Solve 7x – 3 = 5x + 12

7 N

36 Solve 4(2x + 5) = 3x + 12

7 N

37

7 N

38

7 N

39 Some snooker players were asked what their averages score was in a game. The results 7 N

6mm

4mm

10m

m


Year 7 Homeworks

are shown below. Draw a frequency polygon to show this data. Score t 0

wyvern college - wyvern maths revision · year 7 homeworks homework 1 q always write questions,...

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