Users | Mathematics Mastery · Web viewInequalities 7 Power of 10 8 Rounding & Estimating 9 Adding 10 Subtraction 11 Bar Modelling 12 Bar Modelling 13 Perimeter 14 Compound Perimeter

Year 7 Mathematics

Progression Booklet 1

Please complete your Mathematics booklet regularly. Each week you have 20 questions to demonstrate your understanding of some key areas in Mathematics. The progressions booklet is designed to ensure that the key skills needed to progress are secure, though you may find some questions challenging.

Name

Maths Teacher

Hand in on

2

Year 7level

End of Year 8 Target

Please keep a record of how you are doing by completing the tracking log below. This will help you to identify areas which require some attention. It will also help you to identify the area of Mathematics should you need to look any of these skills up.

This section covers:Place value, Addition of whole numbers, Subtraction of whole numbers & Addition and subtraction of decimals

Topics 1 - 4 Completed correctly (week number)1 2 3

1 Ordering Numbers2 Place Value3 Writing numbers4 Writing numbers5 Recognizing patterns6 Inequalities7 Power of 108 Rounding & Estimating9 Adding10 Subtraction11 Bar Modelling12 Bar Modelling13 Perimeter14 Compound Perimeter15 Decimal place value16 Ordering decimals17 Continue a sequence18 Money Problems19 Add or subtract decimals20 Find the missing number

3

Homework 1 Units 1 - 4

Where a question asks you to show working, you will only be awarded the mark for a correct answer if it is supported by an appropriate methodDue in:

1.Write the numbers in order from least to greatest.

3.Write 47 013 in words.

2.In the number 6 375 the figure 7Represents 70.

What does the figure 6 represent?

4.Write 9 thousands, 7 tens and 4 ones as a number

789 897

798 987

4

5.What number completes the number pattern?

8.Mr Smith is saving to buy a television. He has £412. The television costs £689.

Use rounding to estimate how much more money Mr Smith needs in order to buy the television.

6.

Compare using > or <.

3 632 781 ……..…….. 3 632 178

9. Add

5 4 8+ 3 2 9

7.

Solve

(a) 36 × 10

(b) 6 300 ÷ 10

10.What is the missing digit?

5 9 2 4 - 2 1 6

3 2 0 8

81 993 82 983 83 973 ? 85 953

5

11.Mr Jones washed 541 bowls in total over a two week period.

He washed 216 bowls in the first week.

How many bowls did he wash in the second week?

14.Find the perimeter of this figure.Lengths are in centimetres.

7 1

2

6 3

12

12.A shopkeeper sold 4250 g of flour to Mark. He sold 500g less flour to Parvesh than to Mark.He sold 750 g less flour to Sara than to Parvesh.

How much flour did he sell to Sara?

15.

Round 0.78 to the nearest tenth.

Write 421 thousandths as a decimal number

13.Calculate the perimeter of each of these rectangles.

13m12m

3m

4m Rectangle ……..…………………… (1)

Write a statement comparing the perimeter of the two rectangles

16.Write these numbers in ascending order.

a) 0.42 0.24 0.46

b) 7.58 5.58 7.68

c) 0.99 0.09 0.90

A BRectangle A =Rectangle B =

6

17.Continue the number patterns. Use the number lines to help you.

3.01 3.04 3.07 ? ? 3.16 3.19

What are the missing numbers?

19.Solve the following

a) 306.7 + 9.45

b) 54.2 – 2.89

18.Rob buys a jumper for ₤23.45 and a pair of shoes for ₤14.95. He gave the cashier ₤50.

How much change should Rob receive?

20. Find the missing numbers

a) 23.07 x ……………………. = 23 070

b) 264 ÷ 1 000 = 1 320 ÷ …………………

Total:

7

Homework 2 Units 1 - 41.Write the numbers in order from least to greatest.


2.In the number 12 324 the figure 4Represents 4


4.Write 4 thousands, 5 hundreds, 8 tens and 1 one as a number


213 231

321 123

8


8.Mr Hooker is saving to buy a television. He has £689. The television costs £929.

Use rounding to estimate how much more money Mr Hooker needs in order to buy the television.

6.


7 842 274 ……..…….. 7 842 247

9. Add

9 9 9+ 4 5 9

7.

Solve

(a) 391 × 100

(b) 7 293 ÷ 100


7 2 5 4 - 3 9 6

3 3 1 8

14 284 16 264 18 244 ? 22 202

9

11.Mr Jacobs washed 712 bowls in total over a two week period.

He washed 573 bowls in the first week.

How many bowls did he wash in the second week?


8 2

4

8 4

12

12.A shopkeeper sold 5400g of flour to Joe. He sold 500g less flour to James than to Joe.He sold 750 g less flour to David than to James.

How much flour did he sell to James?

15.


Write 734 thousandths as a decimal Number


12m11m

2m

3m Rectangle ……..…………………… (1)


16.Write these numbers in descending order.

a) 0.042 0.204 0.406

b) 7.508 5.508 7.628

c) 0.099 0.09 0 0.909


10


3.11 3.24 3.37 ? ? 3.76 3.89



a) 348.24 + 69.45

b) 96.2 – 23.89

18.Kate buys a jumper for ₤29.99 and a pair of shoes for ₤17.99 She gave the cashier ₤50.

How much change should Kate receive?


a) 2.307 x ……………………. = 23 070

b) 264 ÷ 1 000 = 1 320 ÷ …………………

Total:

11



1.Write the numbers in order from greatest to least.


2.In the number 13 204 the figure 2Represents 200.


4.Write 9 ten thousands, 8 thousands,7 hundreds, 2 tens and 4 ones as a number

1001 1011

1101 1010

12


8.Mr Hooker is saving to buy a car. He has £3290. The Car costs £10 499.

Use rounding to estimate how much more money Mr Hooker needs in order to buy the television.

6.


5 385 385 ……..…….. 5 693 632

9. Add

7 5 4 8+ 3 4 2 9

7.

Solve

(a) 0.54 × 1000

(b) 6.3 ÷ 100


9 9 0 9 9 - 6 2

3 2 5 8 7

81 150 81 000 79 850 ? 79 550

13

11.Mr Jacobs marked 1262 exam papers in total over a month.

He marked 175 exam papers in the first week and the again in the second week.

How many exam papers did he mark in the last two weeks?


7 1

3

9 5

11

12.A shopkeeper sold 3750 g of sweets to Joe. He sold 800g less sweets to James than to Joe.He sold 970 g less sweets to David than to James.

How much sweets did he sell to David?

15.


Write 33 thousandths as a decimal Number


7.5m8.5m

3.5m

4.5m Rectangle ……..…………………… (1)


16.Write these numbers in ascending order.

a) 0.02 0.2 0.214

b) 7.580 7.508 7.058

c) 0.01 0.001 0.1


14


3.01 4.12 5.23 ? ? 8.56 9.67



a) 36.7 + 9.45

b) 54.2 – 23.89

18.Kate buys a dress for ₤49.45 and a pair of shoes for ₤24.95. She gave the cashier ₤100.How much does it cost all together?

How much change should Kate receive?


a) 0.2307 x ……………………. = 23 070

b) 264 ÷ 1 000 = 1 320 ÷ …………………

Total:

15

Please keep a record of how you are doing by completing the tracking log below. This will help you to identify areas which require some attention. It will also help you to identify the area of Mathematics should you need to look any of these skills up.

This section covers:Multiplication of whole numbers, Multiplication of decimal numbers and Division of whole numbers and decimals.

Topics 5 - 7 Completed correctly (week number)1 2 3

1 Multiply2 Division3 Problem Solving with

Multiplying4 Problem Solving with

Division5 Time6 What is a

product?7 Calculate the missing lengths

8 Rounding and Estimating9 Multiples10 Lowest Common Multiple11 Finding the mean

12 Bar modelling13 Time14 Multiplying decimals15 Area of a triangle16 Division

17 Highest Common Factor18 Money Problems19 Solving area & perimeter20 Problems with calculations

16



1.Multiply 6 753 × 3

3.Mr Payne wants to bake enough mince pies for 50 children.He uses 6 baking trays with 8 mince pies on each tray.Will Mr Payne have enough mince pies? Explain your answer.

2.Solve 74.4 ÷ 4

4.Tom buys some cakes with ₤40.Each cake costs ₤8.How many cakes does Tom buy?

17

5.Jess and Ben play tennis in the evening.They go home for dinner 45 minutes before eight o’ clock.What time do they go home?

8.On a tour there are 33 passengers on each coach. There are 581 coaches.Use rounding to estimate the total number of passengers.

6.What is the product of 35 and 7?

9.List 5 multiples of 8

7.Find the length of a rectangle that hasperimeter of 87 metres and a width of 3metres.

10.What is the lowest common multiple of6 and 8?

18

11.The data set below shows the number of students in nine classes. 26, 21, 25, 21, 34, 29, 32, 19, 27

Find the mean number of students in a class.

14.Solve 4.9 x 7

12.A small ship is carrying 27 full containers. A larger ship is carrying six times this many containers, but nine of the containers are empty. How many full containers are the ships carrying altogether?

15. Find the area of this triangle.

15 cm

12cm

18 cm

13.Jenny attended a club meeting. The meeting was 3 h 20 min long. Her meeting ended at 12 25. At what time did it start?

16.At a conference, a total of 586 people wereSeated at tables. There were 5 chairs at eachTable.How many tables did they need?

3m

19

17.Find the highest common factor of18 and 24.

19. The perimeter of the rectangle is 76 meters.Find the area of the shaded part of the figure.

18.Sam bought 3 kilos of grapes for ₤5.79 per kilo and 6 oranges for ₤0.56 per orange. How much did he pay for the grapes and the oranges altogether?

20.Sara says 0.8734 ÷ 4 = 2.1835.

Without calculating, Bill says this is wrong.

Explain how he knows this is wrong.

Total:

12m

30m

20



1.Multiply 2 647 × 23

3.Mr Rome wants to bake enough mince pies for 80 children.He uses 12 baking trays with 6 mince pies on each tray.Will Mr Rome have enough mince pies?Explain your answer.

2.Solve 213.9 ÷ 3

4.Trevor buys some cakes with ₤55.Each cake costs 2.50.How many cakes does Trevor buy?

21

5.Gavin and Becky play badminton in the evening.They go home for dinner 35 minutes before eight o’ clock.What time do they go home?

8.On a tour there are 21 passengers on each coach. There are 423 coaches.Use rounding to estimate the total number of passengers.





22

11.The data set below shows the number of students in nine classes.

19, 21, 34, 26, 17, 26, 34, 80, 25

Find the mean number of students in a class.

14.Solve 5.4 x 8

12.A small ship is carrying 22 full containers. A larger ship is carrying seven times this many containers, but eight of the containers are empty. How many full containers are the ships carrying altogether?


27 cm

21cm

17 cm

13.Emily attended a club meeting. The meeting was 3 h 35 min long. Her meeting ended at1 25. At what time did it start?

16.At a conference, a total of 465 people wereSeated at tables. There were 4 chairs at eachTable.How many tables did they need?

3m

23



18.Richard bought 5 kilos of grapes for ₤2.59 per kilo and 8 oranges for ₤0.64 per orange. How much did he pay for the grapes and the oranges altogether?

20.Karen says 0.8734 ÷ 4 = 1.02101.

Without calculating, Josh says this is wrong.


Total:

10m

25m

24



1.Multiply 6 753 × 356

3.Mr Rome wants to bake enough mini rolls for 262 children.He uses 23 baking trays with 11 mini rolls on each tray.Will Mr Rome have enough mini rolls?Explain your answer.

2.Solve 369.12 ÷ 6

4.Trevor buys some Ipads with ₤4000.Each Ipad costs ₤390.How many Ipads does Trevor buy?

25

5.Dean and Katie play football in the evening.They go home for dinner 27 minutes before eight thrirty in the evening.What time do they go home?

8.On a train there are 62 passengers on each carriage. There are 24 carriages.Use rounding to estimate the total number of passengers.





26

11.The data set below shows the number of photographers in the last 16 parties.

2, 3, 4, 1, 2, 3, 2, 2, 5, 9, 3, 3, 2, 5, 3, 3

Find the mean number of photographers at a party.

14.Solve 4.9 x 7.4

12.A small ship is carrying 102 full containers. A larger ship is carrying eleven times this many containers, but twenty three of the containers are empty. How many full containers are the ships carrying altogether?


78 cm

107cm

34 cm

13.Emily attended a club meeting. The meeting was 5 h 49 min long. Her meeting ended at 12 37. At what time did it start?

16.At a conference, a total of 1262 people wereSeated at tables. There were 12 chairs atEach Table.How many tables did they need?

3m

27



18.Sam bought 4 kilos of raisins for ₤6.24 per kilo and 5 apples for ₤0.65 per apple.

How much did he pay for the raisins and the apples altogether?

20.Sara says 9 476 x 0.9 = 10 846.

Without calculating, Bill says this is wrong.


Total:

28

Please keep a record of how you are doing by completing the tracking log below. This will help you to identify areas which require some attention. It will also help you to identify the area of Mathematics should you need to look any of these skills up.This section covers:Reading scales, Angles & angle properties of straight lines, Properties of triangles and Properties of quadrilaterals

Topics 8 – 12 Completed correctly (week number)1 2 3

1 Identifying Angles2 Labelling angles3 Naming the angle4 Line segments5 Perpendicular & parallel

lines6 Drawing an angle on a

protractor7 Find the missing angle8 Angles on a straight line

9 Angles around a point

10 Vertically Opposite angles

11 Properties of quadrilaterals

12 What shape am i?13 Estimation14 Draw a length of…15 Units of measurement16 Reading Scales

17 Drawing accurate angles18 Draw a pair of parallel lines

19 Draw a perpendicular line20 Find the missing angle

___

______

60°

80° 40°

29



1.Which is an obtuse angle?

3.Name the angle shown below(E.g. “Angle XYZ”)

2.Angle L M̂ N = 40°Angle M L̂ N = 60°

Label the vertices with the letters L, M or N.

4.How many horizontal line segments are there in the diagram?

30

5.Identify a pair of perpendicular line segments and a pair of parallel line segments on the figure shown.

Perpendicular line segments are…..…..and ………

Parallel line segments are .……….. and …………

8.CD is a line. Find the size of angle cc =I know this because…………………………

6.Draw an angle of 123 from the arrow.

9.Find the size of angle pp =I know this because…………………………………….

7.Find the size of the unknown anglea =

10.Line AB and line CD meet at O. Find p.P =I know this because……………………………………

31

11. Are the following true or false? For false statements explain why they are false.

A square is the only quadrilateral with four equal sides?

A Trapezium must have two pairs of parallel sides?

A kite has two pairs of sides of the same length?

14.Draw a line of length 6.3cm.

12.What shape am i?

15.Put the following units of measurement in order from largest to smallest.

Kilograms milligrams centigrams grams nanograms

13.During a sale, five litres of orange juice was sold for £3.95. Estimate how many litres of orange juice you could buy with £24.

16.Read the measurements from the following scales. Remember to include the units of measure.

32

17.Draw an angle that measures 43.

19.Use a protractor to draw a line segment perpendicular to line PQ through point X

18.Join a pair of points to draw a line segment that is parallel to line EF

20.Work out the size of angle aa =I know this because…………………………………..

Total:

___

______

60°

80° 40°

33



1.Which is an acute angle?




4.How many Vertical line segments are there in the diagram?

http://www.google.co.uk/imgres?imgurl=http://www.proprofs.com/api/ckeditor_images/angle%25203.png&imgrefurl=http://www.proprofs.com/quiz-school/story.php?title%3DNjY0OTMzYKRZ&h=393&w=606&tbnid=8EPcpY6jtEkXDM:&zoom=1&docid=0Iv9G9WcV4yugM&hl=en&ei=gfPZVKSVJaiasQSy6YH4Aw&tbm=isch&ved=0CGYQMyg7MDs

34

5.Identify a pair of perpendicular line segments and a pair of parallel line segments on the figure shown.

Perpendicular line segments are…..…..and ………

Parallel line segments are .……….. and …………

8.This is a straight line. Find the size of angle bb =I know this because…………………………


9.Find the size of angle aa =I know this because…………………………………….

7.Find the size of the unknown anglex =


35


A rectangle can have an obtuse internal angle

A rhombus has exactly two pairs of parallel sides

A quadrilateral with four right angles must be a square


12.What shape am i?

15.Put the following units of measurement in order from smallest to largest.

kilometers millimeters centimetersnanometers meters

13.During a sale, three liters of orange juice was sold for £2.95.Estimate how many liters of orange juice you could buy with £18.


36


19.Use a protractor to draw a line segment perpendicular to line PQ through point X

18.Join a pair of points to draw a line segment that is parallel to line EF


Total:

___

______

60°

80° 40°

37



1.Can you draw an reflex angle?




4.Can you identify a perpendicular line segment on the diagram?

38

5.Can you Identify a pair of parallel line segments on the diagram below?

8.AC is a line. Find the size of angle aa =I know this because…………………………


9.Find the size of angle pp =I know this because…………………………………….

7.Find the size of the unknown anglex =


39


A trapezium has two pairs of equal opposite angles?

A Kite has one pair of opposite angles that are equal?

All rectangles have 2 pairs of parallel sides?


12.I have one pair of parallel sides and sometimes have one line of symmetry.

What shape am i?

15.Put the following units of measurement in order from largest to smallest.

Centiliters, milliliters, Liters, Kiloliters

13.During a sale, three litres of orange juice was sold for £1.90. Estimate how many litres of orange juice you could buy with £44.50.


40


19.Create your own perpendicular line using a ruler and protractor.How do you know if it is correct?

18.Create your own pair of parallel lines using a ruler.How do you know they are parallel?


Total:

Documents

Users | Mathematics Mastery · Web viewInequalities 7 Power of 10 8 Rounding & Estimating 9 Adding 10 Subtraction 11 Bar Modelling 12 Bar Modelling 13 Perimeter 14 Compound Perimeter