Refreshing Revision

Number Sequences 1

What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13

Factors

Find all the factors of:

22

1, 2, 11, 22.

Multiples

Subtract the 7th from the 10th multiples of:

12

36

Polygons

What are the names of regular polygons with:
a) eight sides;
b) nine sides;
c) ten sides.

Octagon, Nonagon and Decagon (all regular)

Rounding

Round the following numbers to three significant figures:
a) 71.87; 71.9
b) 853331; 853000
c) 0.006795; 0.00680

Area of a Triangle

Find the area of a triangle that has a base of 4cm and a height of 9cm.

18cm2

Area of a Trapezium

Find the area of a trapezium that has a base of 15cm, a height of 7cm and a top (parallel to base) of 5cm. 70cm2

Fractions (Adding)

Evaluate:

\( \frac{1}{3} + \frac{5}{8}\) \(= \frac{23}{24}\)

Fractions (Multiplying)

Evaluate:

\( \frac{2}{3} × \frac{5}{6}\) \(= \frac{5}{9}\)

Fractions (Dividing)

Evaluate:

\( \frac{3}{5} ÷ \frac{7}{6}\) \(= \frac{18}{35}\)

Circle (Vocabulary)

Name the red part.

Circle part Circle part

Venn Diagrams

Describe the red region.

Circle part Circle part

Shape Formulas

What is the formula?

Circle part Circle part

Formulas (Advanced)

What is it?

Circle part Circle part

Fraction to Percentage

Convert this fraction to a percentage.

\( \frac{2}{4}\) \(= 50\)%

Circle Area

Find the area of a circle that has a radius of 2cm. Give your answer to three significant figures.

12.6cm2

Circle Circumference

Find the circumference of a circle that has a radius of 6cm. Give your answer to three significant figures.

37.7cm2

Decimals (Adding)

Calculate the value of:

7.7 + 7.4

= 15.1

Decimals (Subtracting)

Calculate the value of:

5.2 − 3.9

= 1.3

Decimals (Multiplying)

Calculate the value of:

2.4 × 7.3

= 17.52

Decimals (Dividing)

Calculate the value of:

82.8 ÷ 12

= 6.9

Indices (Simple)

What is the value of:

22

= 4

Indices (Advanced)

What is the value of:

1-2

= 1

Basic Addition

Calculate the value of:

46 + 57

= 103

Basic Subtraction

Calculate the value of:

51 − 29

= 22

Basic Multiplication

Calculate the value of:

45 × 49

= 2205

Basic Division 2

Calculate the value of:

2548 ÷ 26

= 98

Percentage (Of)

Find the value of:

80% of 220

= 176

Standard Form 1

Find the value of:

1.6 × 104

= 16000

Highest Common Factor

Find the highest common factor of thirty two and sixteen.

= 16

Times Tables (2-5)

9 × 4 = 36

6 × 3 = 18

5 × 5 = 25

4 × 2 = 8

3 × 4 = 12

7 × 4 = 28

8 × 3 = 24

2 × 3 = 6

Times Tables (2-12)

6 × 7 = 42

3 × 4 = 12

9 × 5 = 45

8 × 9 = 72

4 × 6 = 24

5 × 3 = 15

7 × 7 = 49

2 × 12 = 24

Times Tables (2)

6 × 2 = 12

7 × 2 = 14

5 × 2 = 10

3 × 2 = 6

9 × 2 = 18

4 × 2 = 8

8 × 2 = 16

2 × 2 = 4

Times Tables (3)

7 × 3 = 21

6 × 3 = 18

4 × 3 = 12

5 × 3 = 15

8 × 3 = 24

3 × 3 = 9

9 × 3 = 27

2 × 3 = 6

Times Tables (4)

4 × 4 = 16

6 × 4 = 24

7 × 4 = 28

8 × 4 = 32

3 × 4 = 12

5 × 4 = 20

9 × 4 = 36

2 × 4 = 8

Times Tables (5)

9 × 5 = 45

4 × 5 = 20

3 × 5 = 15

8 × 5 = 40

5 × 5 = 25

6 × 5 = 30

7 × 5 = 35

2 × 5 = 10

Times Tables (6)

9 × 6 = 54

8 × 6 = 48

7 × 6 = 42

4 × 6 = 24

5 × 6 = 30

3 × 6 = 18

6 × 6 = 36

2 × 6 = 12

Times Tables (7)

6 × 7 = 42

4 × 7 = 28

3 × 7 = 21

8 × 7 = 56

7 × 7 = 49

9 × 7 = 63

5 × 7 = 35

2 × 7 = 14

Times Tables (8)

5 × 8 = 40

3 × 8 = 24

4 × 8 = 32

6 × 8 = 48

9 × 8 = 72

8 × 8 = 64

7 × 8 = 56

2 × 8 = 16

Times Tables (9)

7 × 9 = 63

5 × 9 = 45

8 × 9 = 72

6 × 9 = 54

9 × 9 = 81

3 × 9 = 27

4 × 9 = 36

2 × 9 = 18

Times Tables (12)

6 × 12 = 72

3 × 12 = 36

4 × 12 = 48

9 × 12 = 108

5 × 12 = 60

7 × 12 = 84

8 × 12 = 96

2 × 12 = 24

Fractions (Equivalent)

Write this fraction in its simplest form:

\( \frac{28}{35}\) \(= \frac{4}{5}\)

Fractions (Mixed)

Evaluate:

\( 1\frac{1}{2} − \frac{4}{5}\) \(= \frac{7}{10}\)

Pythagoras

Find AB if AC = 3.9m and BC = 5.6m. 4.02m

Trigonometry (Angle)

Find angle BCA if AC = 5.1m and BC = 6.1m. 33.3o

Trigonometry (Side)

Find AB if angle ABC = 41o and BC = 4.8m. 3.62m

Roman Numerals (1-12)

Give your answer in Roman numerals.

2

Roman Numerals (60-100)

Give your answer in Roman numerals.

2

Roman Numerals (Large)

Give your answer in Roman numerals.

2

Fraction to Decimal

Convert this fraction to a decimal.

\( \frac{2}{5}\) \(= 0.4\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.44\) = \( \frac{11}{25}\)

Percentage (Increase)


Increase £120 by 35%

£162

Lowest Common Multiple

What is the lowest common multiple of fifteen and forty.

= 120

Sequence (Arithmetic)

4,15,26,37,48...

Find the:
a) next term; 59
b) nth term; 11n - 7
c) term number 40; 433

Sequence (Geometric)

5,10,20,40,80...

Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 11; 5120

Interest (Simple)

If £100 is invested for 4 years with a simple interest rate of 5%, find the amount of interest earned. £20.00

Interest (Compound)

If £200 is invested with an interest rate of 1% compounded annually, find the value of the investment after 9 years. £218.74

Currency Exchange

If £1 is worth $1.59, convert:

a) £100 to dollars; $159.00

b) $240 to pounds; £62.89

Coordinates (Midpoint)

What are the coordinates of the midpoint of the line joining:

\((-7,-4) \text{ and } (3,2)\)

(-2,-1)

Gradient

What is the gradient of the line joining:

\((-8,-4) \text{ and } (-5,2)\)

2

Coordinates (Square)

Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?

\((2,4),(6,9),(-3,8)\)

(1,13)

Negative Numbers

a) 9 − 21 = -12
b) 9 × (-12) = -108
c) (6−11)(11−18) = 35
d) 108 ÷ (-12) = -9
e) (-6)2 = 36

Substitution

If p = 6, q = 27 and
r = -5 evaluate:

a) 2q − p = 48
b) pq + r = 157
c) p2 − 5q - r = -94

Equations (Type 1)

Solve:

\(3x = 6\)

\(x = 2\)

Equations (Type 2)

Solve:

\(2x -5= 3\)

\(x = 4\)

Equations (Type 3)

Solve:

\(7x -5= 6x + 4\)

\(x = 9\)

Equations (Type 4)

Solve:

\(3(5x -3)-6= 45\)

\(x = 4\)

Equations (Type 5)

Solve:

\(4(2x + 4)= 3(4x + 4)\)

\(x = 1\)

Equations (Simultaneous 1)

Solve:

\(5x+3y = 25\)
\(4x+3y = 23\)

\(x = 2, y = 5\)

Equations (Simultaneous 2)

Solve:

\(2x+2y = 8\)
\(5x+4y = 18\)

\(x = 2, y = 2\)

Equations (Simultaneous 3)

Solve:

\(6x-5y = 30.5\)
\(3x-5y = 36.5\)

\(x = -2, y = -8.5\)

Sets (Union)

Find the union of:

{2,4,6,8,10} and
{5,6,7,8,9,10}

{2,4,5,6,7,8,9,10}

Sets (Intersection)

Find the intersection of:

{6,7,8,9,10} and
{3,4,5,6,7,8}

{6,7,8}

Bearings

A plane flies from point A to point B on a bearing of 195o. What bearing would it return on from B to A? 015o

Probability

A number is picked at random from the set

{5,6,7,8,9,10}

what is the probability it is even? \(\frac12\)

BIDMAS

Evaluate:

(14 − 2)2 + 6 × 5

174

Simplify

Simplify the following by collecting like terms:

\(3x+5x^2-8x+x^2\)

\(6x^2-5x\)

Ratio

Divide 56 in the ratio

4:3

32 and 24

Graph (Linear)

Draw a rough sketch of the graph of:

\(y=x-2\)

Gradient 1
y intercept -2

Prime Factors

Express the following number as the product of prime numbers:

27

3 x 3 x 3

Percentage (Reverse)

In a sale an item costs £120 after a 25% reduction. What was the original price?

£160

Averages

Find the mean, mode, median and range of the following:

1,3,5,7,9

Mean = 5, no mode,
median = 5 and range = 8

Time (Analogue)

What time is this?

Circle part Circle part

Time (Digital)

Sketch a clock face:

Circle part Circle part

Decimals (Recurring)

Write the following recurring decimal as a fraction in its lowest terms.

0.272727... \(\frac{3}{11}\)

Percentage (Decrease)


Decrease £100 by 15%

£85

Brackets (Linear)

Expand:

\(3(5x-5)\)

\(15x-15\)

Brackets (Quadratic)

Expand:

\((x+3)(4x-2)\)

\(4x^2+10x-6\)

Factorise (Linear)

Factorise:

\(21x-15\)

\(3(7x-5)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-4\)

\((x+2)(x-2)\)

Factorise (Quadratic 2)

Factorise:

\(8x^2-6x-9\)

\((4x+3)(2x-3)\)

Circle Theorems

Which theorem?

Circle part Circle part

Standard Form 2

Find the value of:

9.98 × 10-5

= 0.0000998

Standard Form 3

Write in standard form:

2900

= 2.9 × 103

Standard Form 4

Write in standard form:

0.0339

= 3.39 × 10-2

Sequence (Quadratic)

Find the nth term:

\(12, 16, 22, 30, 40, \)

\(n^2+n+10\)

Standard Form 5

Multiply 7 × 102
by 4 × 102 and give the answer in standard form.

= 2.8 × 105

Equations (Quadratic 1)

Solve:

\(x^2-x-20= 0\)

\(x = 5\) and \(-4\)

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

\(3x^2-4x-2 = 0\)

\(x = 1.72\) and \(-0.387\)

Polygon Angles

What is the size of each exterior angle of a regular nonagon?

40°

Interior and Exterior angles

Change The Subject

Make \(j\) the subject of the formula
$$b=\frac{3(j-4)}{c}$$

$$j=\frac{bc}{3}+4$$

Basic Division 1

Calculate the value of:

710 ÷ 2

= 355

Number Sequences 2

What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13


A Mathematics Lesson Starter Of The Day


Share

Topics: Starter | Algebra | Arithmetic | Circles | Coordinates | Fractions | Mental Methods | Mixed | Money | Sets | Simultaneous Equations | Tables | Trigonometry

    How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
    Click here to enter your comments.

    If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

    Excellent, I would like to see more like this
    Good, achieved the results I required
    Satisfactory
    Didn't really capture the interest of the students
    Not for me! I wouldn't use this type of activity.

    Previous Day | This starter is for 9 April | Next Day

     

    Concept Selection

    Tick (or untick) the boxes above to select the concepts you want to be included in this Starter. The display at the top of this page will change instantly to show your choices. You can also drag the panels above so that the questions are ordered to meet your needs.

    This Starter is called Refreshing Revision because every time you refresh the page you get different revision questions.

    Regularly use this Starter to keep that important learning from being forgotten. Here is the web address (URL) for the version of this page with your currently selected concepts:

    Copy and paste the URL above into your lesson plan or scheme of work.

    For more ideas on revision there are plenty of tips, suggestions and links on the Mathematics Revision page.

    Answers



    Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.

    Have you read Craig's book yet?

    Craig Barton must surely be the voice of Mathematics teachers in the UK. His wonderful podcasts interviewing the industry experts have culminated in this wonderful book. As Craig says: "I genuinely believe I have never taught mathematics better, and my students have never learned more. I just wish I had known all of this twelve years ago..." more...

    "How I wish I’d taught maths' is an extraordinary and important book. Part guide to research, part memoir, part survival handbook, it’s a wonderfully accessible guide to the latest research on teaching mathematics, presented in a disarmingly honest and readable way. I know of no other book that presents as much usable research evidence on the dos and don’ts of mathematics teaching in such a clear and practical way. No matter how long you have been doing it, if you teach mathematics—from primary school to university—this book is for you." Dylan Wiliam, Emeritus Professor of Educational Assessment, UCL.

    The Craig Barton Book

    Casio Classwiz Calculator

    There is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a high-resolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app).

    As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols!

    This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...

    Casio Classwiz Calculator

    There is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a high-resolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app).

    As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols!

    This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...

    Online Maths Shop

    Laptops In Lessons

    Teacher, do your students have access to computers?
    Do they have iPads or Laptops in Lessons?

    Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

    Laptops In Lessons

    Here a concise URL for a version of this page without the comments.

    Transum.org/go/?Start=April9

    Here is the URL which will take them to a related student activity.

    Transum.org/go/?to=topictest

    Student Activity

     


    Teacher:
    Scroll down the
    page to see how
    this Starter can be customised so that it
    is just right for
    your class.

    Apple

    ©1997-2018 WWW.TRANSUM.ORG